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Multiple zeta values and functions

Research Project

Project/Area Number 16H06336
Research Category

Grant-in-Aid for Scientific Research (S)

Allocation TypeSingle-year Grants
Research Field Algebra
Research InstitutionKyushu University

Principal Investigator

KANEKO Masanobu  九州大学, 数理学研究院, 教授 (70202017)

Co-Investigator(Kenkyū-buntansha) 松本 耕二  名古屋大学, 多元数理科学研究科, 教授 (60192754)
大野 泰生  東北大学, 理学研究科, 教授 (70330230)
Project Period (FY) 2016-05-31 – 2021-03-31
Project Status Completed (Fiscal Year 2022)
Budget Amount *help
¥98,020,000 (Direct Cost: ¥75,400,000、Indirect Cost: ¥22,620,000)
Fiscal Year 2020: ¥21,580,000 (Direct Cost: ¥16,600,000、Indirect Cost: ¥4,980,000)
Fiscal Year 2019: ¥22,620,000 (Direct Cost: ¥17,400,000、Indirect Cost: ¥5,220,000)
Fiscal Year 2018: ¥23,010,000 (Direct Cost: ¥17,700,000、Indirect Cost: ¥5,310,000)
Fiscal Year 2017: ¥15,470,000 (Direct Cost: ¥11,900,000、Indirect Cost: ¥3,570,000)
Fiscal Year 2016: ¥15,340,000 (Direct Cost: ¥11,800,000、Indirect Cost: ¥3,540,000)
Keywords多重ゼータ値 / 多重ゼータ値の関係式 / 多重ゼータ関数 / 有限多重ゼータ値 / モチビック多重ゼータ値 / 多重ベルヌーイ数 / アソシエータ / 量子群 / 量子不変量 / アソシエータ関係式 / 合流関係式
Outline of Final Research Achievements

We discovered and proved several new families of relations for multiple zeta values, which is the main subject of this research project. In particular, the ``integral-series identities'' and the ``confluence relations'' are large families of relations, from which it is expected that all relations of multiple zeta values can be derived. Together with the proof of the equivalence between the latter and the ``associator relations", this can be said to be the most important results obtained during the period of this research. Many other important findings were also obtained, such as the relationship between finite multiple zeta values and certain q-series, and the values of multiple zeta functions at negative integer points.

Academic Significance and Societal Importance of the Research Achievements

多重ゼータ値は整数論のみならず、幾何分野の結び目理論、また物理学における場の量子論など、数学・物理の様々な理論において登場する。多重ゼータ値が満たす色々な関係式には、そのような様々な理論の背後にある数学的構造が反映していると考えられており、その構造の理解に資するという意味でも多重ゼータ値研究は学術的意義が高い。また、宇宙の真理探求とも言える素粒子研究において、多重ゼータ値の計算が、ファインマン積分というものを通して実際に役立っている。社会的意義の一つと考えるものである。

Assessment Rating
Verification Result (Rating)

A

Assessment Rating
Result (Rating)

A: Progress in the research is steadily towards the initial goal. Expected research results are expected.

Report

(11 results)
  • 2023 Research Progress Assessment (Verification Result) ( PDF )
  • 2022 Final Research Report ( PDF )
  • 2020 Annual Research Report
  • 2019 Annual Research Report   Abstract(Research Progress Assessment) ( PDF )   Research Progress Assessment (Result) ( PDF )
  • 2018 Annual Research Report
  • 2017 Annual Research Report
  • 2016 Abstract ( PDF )   Comments on the Screening Results ( PDF )   Annual Research Report
  • Research Products

    (240 results)

All 2021 2020 2019 2018 2017 2016 Other

All Int'l Joint Research (21 results) Journal Article (72 results) (of which Int'l Joint Research: 13 results,  Peer Reviewed: 69 results,  Open Access: 30 results,  Acknowledgement Compliant: 7 results) Presentation (134 results) (of which Int'l Joint Research: 69 results,  Invited: 109 results) Book (1 results) Remarks (6 results) Funded Workshop (6 results)

  • [Int'l Joint Research] ナイメーヘン・ラドバウド大学/フローニンゲン大学(オランダ)

    • Related Report
      2019 Annual Research Report
  • [Int'l Joint Research] 上海大学(中国)

    • Related Report
      2019 Annual Research Report
  • [Int'l Joint Research] 国立台湾大学/国立精華大学(その他の国・地域)

    • Related Report
      2019 Annual Research Report
  • [Int'l Joint Research] IRMA(高等数学研究所)/パリ大学(フランス)

    • Related Report
      2019 Annual Research Report
  • [Int'l Joint Research] ニューヨーク州立大学アブダビ校(アラブ首長国連邦)

    • Related Report
      2019 Annual Research Report
  • [Int'l Joint Research] Max Planck Institute for Mathematics(ドイツ)

    • Related Report
      2018 Annual Research Report
  • [Int'l Joint Research] THE INSTITUTE OF MATHEMATICAL SCIENCES(インド)

    • Related Report
      2018 Annual Research Report
  • [Int'l Joint Research] パリ第7大学(フランス)

    • Related Report
      2018 Annual Research Report
  • [Int'l Joint Research] ライデン大学(オランダ)

    • Related Report
      2018 Annual Research Report
  • [Int'l Joint Research] ヌーシャンテ大学/チューリッヒ工科大学(スイス)

    • Related Report
      2018 Annual Research Report
  • [Int'l Joint Research]

    • Related Report
      2018 Annual Research Report
  • [Int'l Joint Research] University de Lille 1/Universite de Besancon/Institut de Recherche Math. Avancee(フランス)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research] Siauliai University(リトアニア)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research] Incheon University(韓国)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research] ライデン大学(オランダ)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research] チューリッヒ工科大学(スイス)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research] POSTECH(韓国)

    • Related Report
      2016 Annual Research Report
  • [Int'l Joint Research] Univ. Lille 1/Univ. Lyon(フランス)

    • Related Report
      2016 Annual Research Report
  • [Int'l Joint Research] University of California, Berkeley(米国)

    • Related Report
      2016 Annual Research Report
  • [Int'l Joint Research] トロント大学(カナダ)

    • Related Report
      2016 Annual Research Report
  • [Int'l Joint Research] チューリッヒ工科大学/浦項工科大学校(スイス)

    • Related Report
      2016 Annual Research Report
  • [Journal Article] ZETA-FUNCTIONS OF ROOT SYSTEMS AND POINCARÉ POLYNOMIALS OF WEYL GROUPS2020

    • Author(s)
      Komori Yasushi、Matsumoto Kohji、Tsumura Hirofumi
    • Journal Title

      Tohoku Mathematical Journal, Second Series

      Volume: 72 Issue: 1 Pages: 87-126

    • DOI

      10.2748/tmj/1585101623

    • ISSN
      0040-8735, 2186-585X
    • Year and Date
      2020-03-30
    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] On multiple zeta vaues of level two2020

    • Author(s)
      Masanobu Kaneko and Hirofumi Tsumura
    • Journal Title

      Tsukuba J. Math.

      Volume: 44-2

    • NAID

      120007192301

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Quasi-derivation relations for multiple zeta values revisited2020

    • Author(s)
      Masanobu Kaneko, Takuya Murakami, Hideki Murahara
    • Journal Title

      Abh. Math. Semin. Univ. Hamburg

      Volume: 90 Issue: 2 Pages: 151-160

    • DOI

      10.1007/s12188-020-00225-9

    • NAID

      120007189978

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] On poly-cosecant numbers2020

    • Author(s)
      Masanobu Kaneko, Maneka Pallewatta, Hirofumi Tsumura
    • Journal Title

      J. of Integer Sequences

      Volume: 23

    • NAID

      120007189977

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Recurrence formulas for poly-Bernoulli polynomials2020

    • Author(s)
      Yasuo Ohno, Yoshitaka Sasaki
    • Journal Title

      Advanced Studies in Pure Mathematics

      Volume: 84 Pages: 353-360

    • DOI

      10.2969/aspm/08410353

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Interpolated multiple zeta functions of Arakawa-Kaneko type2020

    • Author(s)
      Yasuo Ohno, Hirotsugu Wayama
    • Journal Title

      Advanced Studies in Pure Mathematics

      Volume: 84 Pages: 361-366

    • DOI

      10.2969/aspm/08410361

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Interpolation between Arakawa–Kaneko and Kaneko–Tsumura Multiple Zeta Functions2020

    • Author(s)
      Yasuo Ohno, Hirotsugu Wayama
    • Journal Title

      Commentarii mathematici Universitatis Sancti Pauli = Rikkyo Daigaku sugaku zasshi

      Volume: 68 Pages: 83-91

    • DOI

      10.14992/00020347

    • NAID

      120006954960

    • URL

      http://id.nii.ac.jp/1062/00020347/

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Zeta functions connecting multiple zeta values and poly-Bernoulli numbers2020

    • Author(s)
      Masanobu Kaneko and Hirofumi Tsumura
    • Journal Title

      Advanced Studies in Pure Mathematics

      Volume: 84 Pages: 181-204

    • DOI

      10.2969/aspm/08410181

    • NAID

      120007189986

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Hecke eigenform and double Eisenstein series2020

    • Author(s)
      KOJI TASAKA
    • Journal Title

      Proceedings of the American Mathematical Society

      Volume: 148 Issue: 1 Pages: 53-58

    • DOI

      10.1090/proc/14680

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] 秋山-谷川三角形の母関数2020

    • Author(s)
      井原 健太郎, 関谷 大輔
    • Journal Title

      Annual reports by Research Institute for Science and Technology

      Volume: 31 Pages: 1-3

    • Related Report
      2019 Annual Research Report
    • Open Access
  • [Journal Article] An introduction to classical and finite multiple zeta values2019

    • Author(s)
      Kaneko Masanobu
    • Journal Title

      Publications Mathematiques de Besancon

      Volume: - Issue: 1 Pages: 103-129

    • DOI

      10.5802/pmb.31

    • NAID

      120007189989

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On the density function for the value-distribution of automorphic L-functions2019

    • Author(s)
      Kohji Matsumoto and Yumiko Umegaki
    • Journal Title

      Journal of Number Theory

      Volume: 198 Pages: 176-199

    • DOI

      10.1016/j.jnt.2018.10.008

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On mixed joint discrete universality for a class of zeta-functions II2019

    • Author(s)
      R. Kacinskaite and K. Matsumoto
    • Journal Title

      Lith. Math. J.

      Volume: 59 Issue: 1 Pages: 54-66

    • DOI

      10.1007/s10986-019-09432-1

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Values at non-positive integers of partially twisted multiple zeta-functions I2019

    • Author(s)
      D. Essouabri and K. Matsumoto
    • Journal Title

      Comment. Math. Univ. St. Pauli

      Volume: 67 Pages: 83-100

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] ゼータ関数の普遍性について2019

    • Author(s)
      松本耕二
    • Journal Title

      応用数理

      Volume: 29 Pages: 135-139

    • NAID

      130007775880

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] DAHA and skein algebra on surface: double-torus knots2019

    • Author(s)
      K. Hikami
    • Journal Title

      Letters in Mathematical Physics

      Volume: 109 Issue: 10 Pages: 2305-2358

    • DOI

      10.1007/s11005-019-01189-5

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] An introduction to classical and finite multiple zeta values2019

    • Author(s)
      Masanobu Kaneko
    • Journal Title

      Publications Mathematiques de Besancon

      Volume: 印刷中

    • NAID

      120007189989

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Interpolated multiple zeta functions of Arakawa-Kaneko type2019

    • Author(s)
      Yasuo Ohno and Hirotsugu Wayama
    • Journal Title

      Advanced Studies in Pure Mathematics

      Volume: 印刷中

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Recurrence formulas for poly-Bernoulli polynomials2019

    • Author(s)
      Yasuo Ohno and Yoshitaka Sasaki
    • Journal Title

      Advanced Studies in Pure Mathematics

      Volume: 印刷中

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Note on Character Varieties and Cluster Algebras2019

    • Author(s)
      Hikami Kazuhiro
    • Journal Title

      Symmetry, Integrability and Geometry: Methods and Applications

      Volume: 15 Pages: 3-35

    • DOI

      10.3842/sigma.2019.003

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] A new proof of the duality of multiple zeta values and its generalizations2019

    • Author(s)
      Seki Shin-ichiro、Yamamoto Shuji
    • Journal Title

      International Journal of Number Theory

      Volume: - Issue: 06 Pages: 1-5

    • DOI

      10.1142/s1793042119500702

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Arithmetic topology in Ihara theory II: Milnor invariants, dilogarithmic Heisenberg coverings and triple power residue symbols2019

    • Author(s)
      Hirano Hikaru、Morishita Masanori
    • Journal Title

      Journal of Number Theory

      Volume: 198 Pages: 211-238

    • DOI

      10.1016/j.jnt.2018.10.010

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Duality/sum formulas for iterated integrals and their application to multiple zeta values2019

    • Author(s)
      Hirose Minoru、Iwaki Kohei、Sato Nobuo、Tasaka Koji
    • Journal Title

      Journal of Number Theory

      Volume: 195 Pages: 72-83

    • DOI

      10.1016/j.jnt.2018.05.019

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Configuration spaces, KZ connections and conformal blocks2018

    • Author(s)
      Toshitake Kohno
    • Journal Title

      Oberwolfach Reports

      Volume: 2 Pages: 52-54

    • Related Report
      2018 Annual Research Report
    • Open Access
  • [Journal Article] ANALOGUES OF THE AOKI-OHNO AND LE-MURAKAMI RELATIONS FOR FINITE MULTIPLE ZETA VALUES2018

    • Author(s)
      KANEKO MASANOBU、OYAMA KOJIRO、SAITO SHINGO
    • Journal Title

      Bulletin of the Australian Mathematical Society

      Volume: - Issue: 1 Pages: 1-7

    • DOI

      10.1017/s0004972718001260

    • NAID

      120007189995

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On series identities arising from Jacobi’s identity of the theta function2018

    • Author(s)
      Tsumura Hirofumi
    • Journal Title

      International Journal of Number Theory

      Volume: 14 Issue: 05 Pages: 1317-1327

    • DOI

      10.1142/s1793042118500823

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On the value-distribution of the difference between logarithms of two symmetric power L-functions2018

    • Author(s)
      Matsumoto Kohji、Umegaki Yumiko
    • Journal Title

      International Journal of Number Theory

      Volume: 14 Issue: 07 Pages: 2045-2081

    • DOI

      10.1142/s1793042118501245

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Sites whose topoi are the smooth representations of locally prodiscrete monoids2018

    • Author(s)
      Kondo Satoshi、Yasuda Seidai
    • Journal Title

      Journal of Algebra

      Volume: 502 Pages: 382-496

    • DOI

      10.1016/j.jalgebra.2018.01.033

    • Related Report
      2018 Annual Research Report 2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] From Colored Jones Invariants to Logarithmic Invariants2018

    • Author(s)
      Murakami Jun
    • Journal Title

      Tokyo Journal of Mathematics

      Volume: 27 Pages: 453-475

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 秋山・谷川三角形の母関数2018

    • Author(s)
      井原健太郎, 関谷大輔
    • Journal Title

      近畿大学理工学総合研究所紀要

      Volume: 印刷中

    • Related Report
      2018 Annual Research Report
    • Open Access
  • [Journal Article] On the coefficients of the Alekseev-Torossian associator2018

    • Author(s)
      Hidekazu Furusho
    • Journal Title

      Journal of Algebra

      Volume: 506 Pages: 364-378

    • DOI

      10.1016/j.jalgebra.2018.03.023

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Cyclotomic analogues of finite multiple zeta values2018

    • Author(s)
      Henrik Bachmann, Yoshihiro Takeyama, Koji Tasaka
    • Journal Title

      Compositio Mathematica

      Volume: 154 (12) Issue: 12 Pages: 2701-2721

    • DOI

      10.1112/s0010437x18007583

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On a duality formula for certain sums of values of poly-Bernoulli polynomials and its application2018

    • Author(s)
      Kaneko Masanobu、Sakurai Fumi、Tsumura Hirofumi
    • Journal Title

      Journal de Theorie des Nombres de Bordeaux

      Volume: 30 Issue: 1 Pages: 203-218

    • DOI

      10.5802/jtnb.1023

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] COMBINATORIAL PROOFS OF IDENTITIES FOR SPECIAL VALUES OF ARAKAWA-KANEKO MULTIPLE ZETA FUNCTIONS2018

    • Author(s)
      Naho Kawasaki and Yasuo Ohno
    • Journal Title

      Kyushu Journal of Mathematics

      Volume: 72 Issue: 1 Pages: 215-222

    • DOI

      10.2206/kyushujm.72.215

    • NAID

      130007411708

    • ISSN
      1340-6116, 1883-2032
    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] A new integral-series identity of multiple zeta values and regularizations2018

    • Author(s)
      Kaneko Masanobu、Yamamoto Shuji
    • Journal Title

      Selecta Mathematica

      Volume: - Issue: 3 Pages: 2499-2521

    • DOI

      10.1007/s00029-018-0400-8

    • NAID

      120007189997

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Multi-poly-Bernoulli numbers and related zeta functions2018

    • Author(s)
      Masanobu Kaneko, Hirofumi Tsumura
    • Journal Title

      Nagoya Math. J.

      Volume: -

    • NAID

      120007189996

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Combinatorial proofs of identities for special values of Arakawa-Kaneko multiple zeta functions2018

    • Author(s)
      Naho Kawasaki, Yasuo Ohno
    • Journal Title

      Kyushu~J.~Math.

      Volume: 72 Pages: 215-222

    • NAID

      130007411708

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] On Arakawa-Kaneko zeta-functions associated with GL_2(C) and their functional relations2018

    • Author(s)
      Yasushi Komori、 Hirofumi Tsumura
    • Journal Title

      Journal of Mathematical Society of Japan

      Volume: 70 Pages: 179-213

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Double series identities arising from Jacobi's identity of the theta function2018

    • Author(s)
      Hirofumi Tsumura
    • Journal Title

      Results in Mathematics

      Volume: 73 Pages: 1-12

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On the coefficients of the Alekseev Torossian associator2018

    • Author(s)
      Hidekazu Furusho
    • Journal Title

      Journal of Algebra

      Volume: -

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On mod 3 triple Milnor invariants and triple cubic residue symbols in the Eisenstein number field2018

    • Author(s)
      Amano Fumiya、Mizusawa Yasushi、Morishita Masanori
    • Journal Title

      Research in Number Theory

      Volume: 4 Issue: 1 Pages: 1-29

    • DOI

      10.1007/s40993-018-0100-7

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] An example of Schwarz map of reduceible Appell's hypergoemetric equation E_2 in two variables2018

    • Author(s)
      Keiji Matsumoto, Takeshi Sasaki, Tomohide Terasoma, Masaaki Yoshida
    • Journal Title

      Journal of the Mathematical Society of Japan

      Volume: -

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] The third order modular linear differential equations2017

    • Author(s)
      Kaneko Masanobu、Nagatomo Kiyokazu、Sakai Yuichi
    • Journal Title

      Journal of Algebra

      Volume: 485 Pages: 332-352

    • DOI

      10.1016/j.jalgebra.2017.05.007

    • NAID

      120007189998

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Desinguralization of complex multiple zeta-functions2017

    • Author(s)
      Hidekazu Furusho, Yashshi Komori, Kohji Matsumoto, Hirofumi Tsumura
    • Journal Title

      American Journal of Mathematics

      Volume: 139 Pages: 147-173

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Fundamentals of p-adic multiple L-functions and evaluation of their special values2017

    • Author(s)
      Hidekazu Furusho, Yashshi Komori, Kohji Matsumoto, Hirofumi Tsumura
    • Journal Title

      Selecta Mathematica

      Volume: 23 Pages: 39-100

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On mixed joint discrete universality for a class of zeta-functions2017

    • Author(s)
      Roma Kacinskaite and Kohji Matsumoto
    • Journal Title

      Analytic and Probabilistic Methods in Number Theory, Proc. 6th Intern. Conf. (Palanga)

      Volume: - Pages: 51-66

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Quasi-shuffle products revisited2017

    • Author(s)
      Michael E. Hoffman, Kentaro Ihara
    • Journal Title

      Journal of Algebra

      Volume: 481 Pages: 293-326

    • DOI

      10.1016/j.jalgebra.2017.03.005

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Quantum representations of braid groups and holonomy Lie algebras2017

    • Author(s)
      Toshitake Kohno
    • Journal Title

      Advanced Studies in Pure Mathematics

      Volume: 72 Pages: 117-144

    • Related Report
      2017 Annual Research Report 2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Homological Representations of Braid Groups and the Space of Conformal Blocks2017

    • Author(s)
      Toshitake Kohno
    • Journal Title

      Springer INdAM Series

      Volume: 19 Pages: 427-442

    • DOI

      10.1007/978-3-319-58971-8_16

    • ISBN
      9783319589701, 9783319589718
    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Polylogarithmic analogue of the Coleman-Ihara formula, I.2017

    • Author(s)
      Nakamura, Hiroaki、 Sakugawa, Kenji、 Wojtkowiak, Zdzisaw
    • Journal Title

      Osaka J. Math.

      Volume: 54 Pages: 55-74

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Hecke-type formulas for families of unified Witten-Reshetikhin-Turaev invariants2017

    • Author(s)
      K. Hikami and J. Lovejoy
    • Journal Title

      Communications in Number Theory and Physics

      Volume: 11 Issue: 2 Pages: 249-272

    • DOI

      10.4310/cntp.2017.v11.n2.a1

    • Related Report
      2017 Annual Research Report 2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Galois action on knots I: Action of the absolute Galois group2017

    • Author(s)
      Hidekazu Furusho
    • Journal Title

      Quantum Topology

      Volume: 8(2) Pages: 295-360

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Desingularization of multiple zeta-functions of generalized Hurwitz-Lerch type and evaluation of p-adic multiple L-functions at arbitrary integers2017

    • Author(s)
      Hidekazu Furusho, Yasushi Komori, Kohji Matsumoto, Hirofumi Tsumura
    • Journal Title

      RIMS Kokyuroku bessatsu

      Volume: 68 Pages: 27-66

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Reidemeister transformations of the potential function and the solution2017

    • Author(s)
      Cho Jinseok、Murakami Jun
    • Journal Title

      Journal of Knot Theory and Its Ramifications

      Volume: 26 Issue: 12 Pages: 1750079-1750079

    • DOI

      10.1142/s0218216517500791

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Generalized Kashaev invariants for knots in three manifolds2017

    • Author(s)
      Murakami, Jun
    • Journal Title

      Quantum Topology

      Volume: 8 Issue: 1 Pages: 35-87

    • DOI

      10.4171/qt/86

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] On certain $L$-functions for deformations of knot group representations2017

    • Author(s)
      Kitayama Takahiro、Morishita Masanori、Tange Ryoto、Terashima Yuji
    • Journal Title

      Transactions of the American Mathematical Society

      Volume: 370 Issue: 5 Pages: 3171-3195

    • DOI

      10.1090/tran/7037

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Arithmetic Topology in Ihara Theory2017

    • Author(s)
      Kodani Hisatoshi、Morishita Masanori、Terashima Yuji
    • Journal Title

      Publications of the Research Institute for Mathematical Sciences

      Volume: 53 Issue: 4 Pages: 629-688

    • DOI

      10.4171/prims/53-4-6

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Desingularization of complex multiple zeta-functions2017

    • Author(s)
      Hidekazu Furusho, Yasushi Komori, Kohji Matsumoto, Hirofumi Tsumura
    • Journal Title

      American Journal of Mathemtaics

      Volume: 139 Issue: 1 Pages: 147-173

    • DOI

      10.1353/ajm.2017.0002

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Fundamentals of p-adic multiple L-functions and evaluation of their special values2017

    • Author(s)
      Hidekazu Furusho, Yasushi Komori, Kohji Matsumoto, Hirofumi Tsumura
    • Journal Title

      Selecta Mathematica

      Volume: 23 Issue: 1 Pages: 39-100

    • DOI

      10.1007/s00029-016-0233-2

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] p-Johnson homomorphisms and pro-p groups2017

    • Author(s)
      M. Morishita, Y. Terashima
    • Journal Title

      Journal of Algebra

      Volume: 479 Pages: 102-136

    • DOI

      10.1016/j.jalgebra.2017.01.028

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] On certain L-functions for deformations of knot group representations2017

    • Author(s)
      Takahiro Kitayama, Masanori Morishita, Ryoto Tange, Yuji Terashima
    • Journal Title

      Transactions of the American Mathematical Society

      Volume: -

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] On the universal deformations for SL_2-representations of knot groups2017

    • Author(s)
      Masanori Morishita, Yu Takakura, Yuji Terashima, Jun Ueki
    • Journal Title

      Tohoku Mathematical Journal

      Volume: 69 Pages: 67-84

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Shuffle product of finite multiple polylogarithms2017

    • Author(s)
      Masataka Ono and Shuji Yamamoto
    • Journal Title

      Manuscripta Mathematica

      Volume: 152 Issue: 1-2 Pages: 153-166

    • DOI

      10.1007/s00229-016-0856-9

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] On the parity of calibers of real quadratic orders2016

    • Author(s)
      Masanobu Kaneko, Hideyuki Sakata, Maiko Takeuchi
    • Journal Title

      Siauliai Mathematical Seminar

      Volume: 11(19) Pages: 35-43

    • NAID

      120007187838

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Affine vertex operator algebras and modular linear differential equations2016

    • Author(s)
      Yusuke Arike, Masanobu Kaneko, Kiyokazu Nagatomo, Yuichi Sakai
    • Journal Title

      Letters in Mathematical Physics

      Volume: - Issue: 5 Pages: 1-26

    • DOI

      10.1007/s11005-016-0837-7

    • NAID

      120007187839

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Functional equations for double series of Euler type with coefficients2016

    • Author(s)
      YoungJu Choie and Kohji Matsumoto
    • Journal Title

      Advances in Mathematics

      Volume: 292 Pages: 529-557

    • DOI

      10.1016/j.aim.2016.01.016

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Edge colored complete graphs and a generalization of self-complementarity2016

    • Author(s)
      Kumi Kobata and Yasuo Ohno
    • Journal Title

      Util. Math. (Utilitas Mathematica)

      Volume: 101 Pages: 3-12

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Higher holonomy maps of formal homology connections and braid cobordisms2016

    • Author(s)
      Toshitake Kohno
    • Journal Title

      Journal of Knot Theory and Its Ramifications

      Volume: 26 Issue: 12 Pages: 1642007-1642007

    • DOI

      10.1142/s0218216516420074

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Yokota type invariants derived from non-integral highest weight representations of U_q(sl2)2016

    • Author(s)
      Mizusawa, Atsuhiko; Murakami, Jun
    • Journal Title

      Journal of Knot Theory and its Ramifications

      Volume: 25 Issue: 10 Pages: 1650054-1650054

    • DOI

      10.1142/s0218216516500541

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] The dual Jacobian of a generalised hyperbolic tetrahedron, and volumes of prisms2016

    • Author(s)
      Kolpakov Alexander、 Murakami Junn
    • Journal Title

      Tokyo Journal of Mathematics

      Volume: 39 Pages: 46-67

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Logarithmic invariants of links2016

    • Author(s)
      Murakami Jun
    • Journal Title

      String-Math 2014, Proceedings of Symposia in Pure Mathematics, Amer. Math. Soc.

      Volume: 93 Pages: 343-352

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Finite real multiple zeta values generate the whole space Z2016

    • Author(s)
      Seidai Yasuda
    • Journal Title

      International Journal of Number Theory

      Volume: 12 Issue: 03 Pages: 787-812

    • DOI

      10.1142/s1793042116500512

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed
  • [Presentation] 6 or 5 tales on poly-Bernoulli and poly-Euler numbers with a report of former survival udon tour of Kagawa seminar2021

    • Author(s)
      大野泰生
    • Organizer
      香川セミナー @on line
    • Related Report
      2020 Annual Research Report
  • [Presentation] On the behavior of multiple zeta-functions with identical arguments on the real line2021

    • Author(s)
      松本耕二
    • Organizer
      Balu Fest, Chennai, India
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 正規化定理の一般化と川島関係式2020

    • Author(s)
      金子昌信
    • Organizer
      第14回 多重ゼータ研究集会
    • Related Report
      2020 Annual Research Report
  • [Presentation] Stuffle product formulas for various iterated integrals2020

    • Author(s)
      広瀬稔
    • Organizer
      第14回 多重ゼータ研究集会
    • Related Report
      2020 Annual Research Report
  • [Presentation] On the a-points of multiple zeta function2020

    • Author(s)
      小野塚友一
    • Organizer
      第14回 多重ゼータ研究集会
    • Related Report
      2020 Annual Research Report
  • [Presentation] t-adic symmetric multiple zeta values of Mordell-Tornheim type2020

    • Author(s)
      小野雅隆
    • Organizer
      第14回 多重ゼータ研究集会
    • Related Report
      2020 Annual Research Report
  • [Presentation] 荒川-金子ゼータ値の和公式2020

    • Author(s)
      大野泰生
    • Organizer
      2020 大分整数論研究集会 @on line
    • Related Report
      2020 Annual Research Report
  • [Presentation] 有限多重ゼータ値について2020

    • Author(s)
      金子昌信
    • Organizer
      愛知数論セミナー
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] 多重ゼータ関数の負の整数点での値の表示について2020

    • Author(s)
      松本耕二
    • Organizer
      第13回多重ゼータ研究集会&第48回関西多重ゼータ研究会
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Four groups related to associators2020

    • Author(s)
      Hidekazu Furusho
    • Organizer
      第15回代数・解析・幾何学セミナー
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] On a variant of multiple zeta values of level two2019

    • Author(s)
      金子昌信
    • Organizer
      Multiple zeta values and related topics
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] On finite multiple zeta values2019

    • Author(s)
      Masanobu Kaneko
    • Organizer
      BU-Keio workshop 2019
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Multiple Dirichlet series with arithmetical coefficients on the numerators2019

    • Author(s)
      Kohji Matsumoto
    • Organizer
      Mini-Symposium on Analytic Number Theory and Applications
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On the zero-sets of multiple zeta-functions2019

    • Author(s)
      Kohji Matsumoto
    • Organizer
      Fonctions Zeta
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On Arakawa-Kaneko type zeta functions2019

    • Author(s)
      Yasuo Ohno
    • Organizer
      Multiple zeta values and related topics
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 多重ゼータ値の母関数について2019

    • Author(s)
      大野泰生
    • Organizer
      RIMS共同研究(公開型)可積分系数理の深化と展開
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Relations among multiple zeta values and Arakawa-Kaneko zeta functions2019

    • Author(s)
      Yasuo Ohno
    • Organizer
      Frontiers in Mathematical Science Research Workshop ---Joint workshop with Tohoku University and Shanghai University
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] The associator relation and the confluence relations2019

    • Author(s)
      Hidekazu Furusho
    • Organizer
      Expansions, Lie Algebras, and Invariants
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On a relation of Hirose and Sato2019

    • Author(s)
      Hidekazu Furusho
    • Organizer
      Multiple zeta values and related topics
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Kontsevich's eye, Lie graphs and associators2019

    • Author(s)
      Hidekazu Furusho
    • Organizer
      Workshop: Johnson homomorphisms and related topics 2019
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 調和余積のBetti対応物とDeligne-寺杣プロジェクト2019

    • Author(s)
      Hidekazu Furusho
    • Organizer
      関西多重ゼータ研究会
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] On Relations among Multiple Zeta Values Obtained in Knot Theory2019

    • Author(s)
      Hidekazu Furusho
    • Organizer
      NCTS Seminar on Number Theory
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Proofs of Hoffman's and Zhao's dualities via connected sums2019

    • Author(s)
      Shuji Yamamoto
    • Organizer
      Multiple zeta values and related topics
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Kawashima functions and multiple zeta values2019

    • Author(s)
      Shuji Yamamoto
    • Organizer
      Boston University/Keio University Workshop 2019
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 川島関数の諸性質と多重ゼータ値への応用2019

    • Author(s)
      山本修司
    • Organizer
      明学・日大セミナー
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Connected sum method for the duality of multiple zeta values and its generalizations2019

    • Author(s)
      Shuji Yamamoto
    • Organizer
      Sendai Workshop on Hypergeometric Series, Mahler Measures, and Multiple Zeta Values
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Multiple Zeta Values: Interrelation of Series and Integrals2019

    • Author(s)
      山本修司
    • Organizer
      iTHEMS数学セミナー
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] A variant of multiple polylogarithms and relations on them2019

    • Author(s)
      Shuji Yamamoto
    • Organizer
      Japan-Taiwan Joint Workshop on Multiple Zeta Values 2020
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On 3-dimensional foliated dynamical systems and Hilbert type reciprocity law2019

    • Author(s)
      Masanori Morishita
    • Organizer
      JAMI Workshop``Riemann-Roch in characteristic one and related topics"
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] DAHA and Skein algebra of surfaces2019

    • Author(s)
      Kazuhiro Hikami
    • Organizer
      Quiver Hecke algebra and its applications to topology
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Finite and symmetric colored multiple zeta values2019

    • Author(s)
      Koji Tasaka
    • Organizer
      RIMS conference "Various Aspects on Multiple Zeta Values"
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] On quantum representation of knots via braided Hopf algebra2019

    • Author(s)
      村上 順
    • Organizer
      研究集会「拡大KOOKセミナー2019」
    • Related Report
      2019 Annual Research Report
  • [Presentation] Quantized SL(2) representations of knot groups2019

    • Author(s)
      村上 順
    • Organizer
      日本数学会2019年度秋季総合分科会
    • Related Report
      2019 Annual Research Report
  • [Presentation] On a variant of multiple zeta values of level two2019

    • Author(s)
      Masanobu Kaneko
    • Organizer
      AMS Sectional Meeting, Special Session on Arithmetic and Transcendence of Special Functions and Special Values, I
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Genus character L-functions of quadratic orders and class number formulas2019

    • Author(s)
      Masanobu Kaneko
    • Organizer
      Hawaii Number Theory 2019 (HINT)
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On a variant of multiple zeta values of level two2019

    • Author(s)
      Masanobu Kaneko
    • Organizer
      Low dimensional topology and number theory XI
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Quantized SL(2) character variety of knot groups2019

    • Author(s)
      村上順
    • Organizer
      低次元幾何学ミニワークショップ
    • Related Report
      2018 Annual Research Report
  • [Presentation] Higher category extensions of holonomy maps and iterated integrals2019

    • Author(s)
      Toshitake Kohno
    • Organizer
      Higher structures in algebra, geometry and quantum field theory
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Genus character L-functions of quadratic orders and class number formulas2019

    • Author(s)
      Masanobu Kaneko
    • Organizer
      Indo-Japan conference on number theory
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Kontsevich’s eye, Lie graphs and associators2019

    • Author(s)
      Hidekazu Furusho
    • Organizer
      Arithmetic and Algebraic Geometry 2019
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Quantum symmetry in homological representations of braid groups2019

    • Author(s)
      Toshitake Kohno
    • Organizer
      East Asian Conference on Geometric Topology
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Modular complexes and dimensions of derived double shuffle modules2018

    • Author(s)
      安田正大
    • Organizer
      第17回北陸数論研究集会
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Derived double shuffle Lie algebra and the Steinberg modules2018

    • Author(s)
      Seidai Yasuda
    • Organizer
      NTCS Seminar on Number Theory
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] 2色半順序集合と荒川-金子型ゼータ関数の特殊値2018

    • Author(s)
      大野泰生
    • Organizer
      2018年度 応用数学合同研究集会
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] ある種のレベル2多重ゼータ値について2018

    • Author(s)
      金子昌信
    • Organizer
      早稲田大学整数論セミナー
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Poly-Bernoulli numbers of level 2 and related zeta functions2018

    • Author(s)
      津村博文
    • Organizer
      RIMS研究集会『解析的整数論とその周辺』
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Bernoulli多項式のアルゴリズムと多重ゼータ値2018

    • Author(s)
      大野泰生
    • Organizer
      2018大分鹿児島整数論研究集会
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] 数論的関数に付随する多重ディリクレ級数について2018

    • Author(s)
      津村博文
    • Organizer
      2018大分鹿児島整数論研究集会
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] On density functions in the value-distribution theory of L-functions2018

    • Author(s)
      Kohji Matsumoto
    • Organizer
      International Conference on Number Theory dedicated to the 70th Birthdays of Professors A. Laurincikas and E. Manstavicius
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 「p進多重ゼータ値」から「有限多重ゼータ値」へ2018

    • Author(s)
      安田 正大
    • Organizer
      第26回整数論サマースクール「多重ゼータ値」
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] 多重ゼータ値の正規化基本定理2018

    • Author(s)
      金子昌信
    • Organizer
      第26回整数論サマースクール「多重ゼータ値」
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] ゼータ関数の普遍性について2018

    • Author(s)
      松本耕二
    • Organizer
      日本応用数理学会2018年度年会
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] グロタンディーク・タイヒミュラー理論の話題から2018

    • Author(s)
      中村博昭
    • Organizer
      第63回 代数学シンポジウム
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] On Kauffman bracket skein algebra and DAHA2018

    • Author(s)
      Kazuhiro Hikami
    • Organizer
      Volume Conjecture in Tokyo
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Volume conjecture for the logarithmic invariant2018

    • Author(s)
      Jun Murakami
    • Organizer
      Volume Conjecture in Tokyo
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Interpolation of Arakawa-Kaneko and Kaneko-Tsumura multiple zeta functions2018

    • Author(s)
      Yasuo Ohno
    • Organizer
      Taiwan-Japan Joint Workshop on Multiple Zeta Values
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On a relation of Hirose and Sato2018

    • Author(s)
      Hidekazu Furusho
    • Organizer
      Taiwan-Japan Joint Workshop on Multiple Zeta Values
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Multiple zeta values and modular form2018

    • Author(s)
      Koji Tasaka
    • Organizer
      Taiwan-Japan Joint Workshop on Multiple Zeta Values
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] ゼータ関数の多重化と整数論2018

    • Author(s)
      井原健太郎
    • Organizer
      理工イノベーションフォーラム
    • Related Report
      2018 Annual Research Report
  • [Presentation] Higher category extensions of KZ connections and representations of braid cobordisms2018

    • Author(s)
      Toshitake Kohno
    • Organizer
      101e rencontre entre mathematiciens et physiciens theoriciens
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Iterated integral of elliptic cusp forms2018

    • Author(s)
      井原健太郎
    • Organizer
      早稲田大学整数論セミナー
    • Related Report
      2018 Annual Research Report
  • [Presentation] On the theory of M-functions2018

    • Author(s)
      Kohji Matsumoto
    • Organizer
      Profinite monodromy, Galois representations, and complex functions
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Arithmetic topology in Ihara theory: Milnor invariants, Heisenberg covers and triple power residue symbols2018

    • Author(s)
      Masanori Morishita
    • Organizer
      Profinite monodromy, Galois representations, and complex functions
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Arithmetic and combinatorics in Galois fundamental groups2018

    • Author(s)
      Hiroaki Nakamura
    • Organizer
      Profinite monodromy, Galois representations, and complex functions
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] A Betti counterpart of the harmonic coproduct (I)2018

    • Author(s)
      Hidekazu Furusho
    • Organizer
      Poisson geometry of moduli spaces, associators and quantum field theory
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 様々な多重ゼータ値の統一理論に向けて2018

    • Author(s)
      田坂浩二
    • Organizer
      愛知数論セミナー
    • Related Report
      2018 Annual Research Report
  • [Presentation] Some aspect of arithmetic of pronite fundamental groups2018

    • Author(s)
      Hiroaki Nakamura
    • Organizer
      Mini-Workshop: Arithmetic Geometry and Symmetries around Galois and Fundamental Groups (B.Collas, P.Debes, M.Fried)
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On 3-dimensional foliated dynamical systems and Hilbert reciprocity law2018

    • Author(s)
      Masanori Morishita
    • Organizer
      Arithmetic and Analysis on the occasion of Deninger's 60th birthday
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Genus character L-functions of quadratic orders and class numbers2018

    • Author(s)
      金子昌信
    • Organizer
      Low dimen- sional topology and number theory X
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Local systems on configuration spaces, KZ connections and conformal blocks2018

    • Author(s)
      Toshitake Kohno
    • Organizer
      Topology of Arrangements and Representation Stability
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] A Betti counterpart of the harmonic coproduct2018

    • Author(s)
      Hidekazu Furusho, Benjamin Enriquez
    • Organizer
      Periods and Regulators
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On coefficients of Alekseev-Torossian associator2018

    • Author(s)
      Hidekazu Furusho
    • Organizer
      Seminnaire et Groupe de travail de GAAO
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Braided Wirtinger presentation of knots2018

    • Author(s)
      Jun Murakami
    • Organizer
      Representation Spaces, Teichmuller Theory, and their Relationship with 3-manifolds from the Classical and Quantum Viewpoints
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] An explicit form of genus character L-functions of quadratic orders and its appli- cations2017

    • Author(s)
      Masanobu Kaneko
    • Organizer
      Trends in Modular Forms
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 多重ゼータ値の「積分- 級数」関係式に関する考察2017

    • Author(s)
      金子昌信
    • Organizer
      愛媛大学代数セミナー
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] 有限多重ゼータ値について2017

    • Author(s)
      金子昌信
    • Organizer
      新潟代数セミナー
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Elliptic normal curves of even degree and theta functions2017

    • Author(s)
      金子昌信
    • Organizer
      2017 大分熊本整数論研 究集会
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Two zeta functions connecting multiple zeta values and poly-Bernoulli numbers2017

    • Author(s)
      金子昌信
    • Organizer
      多 重ゼータ関数の諸相
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] On modular differential equations of the third order2017

    • Author(s)
      Masanobu Kaneko
    • Organizer
      \Aspects of Automorphic Forms and Applications
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Fourier coefficients and singular moduli of modular functions2017

    • Author(s)
      Masanobu Kaneko
    • Organizer
      Conference "Modular forms are everywhere"
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Finite multiple zeta values2017

    • Author(s)
      Masanobu Kaneko
    • Organizer
      Fukuoka International Conference on Arithmetic Geom- etry 2017
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Goldbach representations in arithmetic progressions and zeros of Dirichlet L-functions2017

    • Author(s)
      Kohji Matsumoto
    • Organizer
      International Conference in Number Theory and Applications
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 多重ゼータ関数の負の整数点での値の明示公式2017

    • Author(s)
      松本耕二
    • Organizer
      2017 大分熊本整数論研究集会
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] On the value-distribution of automorphic L-functions2017

    • Author(s)
      Kohji Matsumoto
    • Organizer
      Conference on Number Theory: Arithmetic, Diophantine and Transcendence, celebrating 130th birthday of Srinivasa Ramanujan
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 2-posets から 2-posets に架かる多重ゼータの橋2017

    • Author(s)
      大野泰生
    • Organizer
      第34回代数的組合せ論シンポジウム
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Multiple zeta functions of Arakawa-Kaneko and Kaneko-Tsumura and their values2017

    • Author(s)
      Yasuo Ohno
    • Organizer
      Various Aspects of Multiple Zeta Functions
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 荒川-金子のゼータ関数の一般化について(和山裕嗣氏との共同研究)2017

    • Author(s)
      大野泰生
    • Organizer
      2017大分熊本整数論研究集会
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Multiple Dirichlet Series and Multiple Mellin transformation2017

    • Author(s)
      井原健太郎
    • Organizer
      近畿大学講演会
    • Related Report
      2017 Annual Research Report
  • [Presentation] Higher category extensions of holonomy maps for hyperplane arrangements2017

    • Author(s)
      Toshitake Kohno
    • Organizer
      Arrangements and beyond: Combinatorics, geometry, topology and applications
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Representations of the category of braid cobordisms2017

    • Author(s)
      Toshitake Kohno
    • Organizer
      Self-distributive system and quandle (co)homology theory in algebra and low-dimensional topology
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Functional relations for zeta-functions of root systems and Poincare polynomials of Weyl groups2017

    • Author(s)
      Hirofumi Tsumura
    • Organizer
      Various Aspects of Multiple Zeta Functions
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] テータ関数の変換公式から導かれるいくつかの無限級数の値について2017

    • Author(s)
      津村 博文
    • Organizer
      群大桐生数論セミナー
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Chebyshev type polynomials with XY-skeletons2017

    • Author(s)
      Hiroaki Nakamura
    • Organizer
      The 1st Joint Workshop of Nanyang Technological University and Osaka University on Fundamental Science, [Parallel Session 1 Mathematics]
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Quantum invariants for knots/3-manifolds and modular forms2017

    • Author(s)
      Kazuhiro Hikami
    • Organizer
      Trends in Modular Forms
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Quantum modular forms I, II2017

    • Author(s)
      Kazuhiro Hikami
    • Organizer
      Indefinite Theta Functions and Applications in Physics & Geometry
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] The stabilizer of the harmonic coproduct and Racinet's double shuffle group2017

    • Author(s)
      Hidekazu Furusho
    • Organizer
      Seminaire tournant de theorie des nombres
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] On the volume conjecture of quantum knot invariants2017

    • Author(s)
      Jun Murakami
    • Organizer
      Low-dimensional Topology and Number Theory
    • Related Report
      2017 Annual Research Report
  • [Presentation] On the asymptotics of quantum 6j symbols2017

    • Author(s)
      Jun Murakami
    • Organizer
      Invariants in low dimensional geometry & topology
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On local symbols and the reciprocity law for foliated dynamical systems on 3-manifolds2017

    • Author(s)
      Masanori Morishita
    • Organizer
      Workshop on Arithmetic Chern-Simons Theory
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Milnor invariants in Ihara theory and triple power residue symbols2017

    • Author(s)
      Masanori Morishita
    • Organizer
      Low dimensional topology and number theory
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Linearized and derived double shuffle Lie algebras2017

    • Author(s)
      Seidai Yasuda
    • Organizer
      Workshop: Johnson homomorphisms and related topics
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Drinfeld modular 多様体上の zeta 元について2017

    • Author(s)
      安田 正大
    • Organizer
      九大数理談話会
    • Related Report
      2017 Annual Research Report
  • [Presentation] 結合子と結合子関係式2017

    • Author(s)
      安田 正大
    • Organizer
      第26回整数論サマースクール勉強会「モチヴィック多重ゼータ値
    • Related Report
      2017 Annual Research Report
  • [Presentation] 多重ゼータ値について2017

    • Author(s)
      金子昌信
    • Organizer
      日本数学会年会 特別講演
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] Mixed joint universality for zeta-functions2017

    • Author(s)
      Kohji Matsumoto
    • Organizer
      Diophantine Analysis and Related Fields 2017
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] From complete bipartite graphs to Hasse diagrams via multiple zeta values2017

    • Author(s)
      大野泰生
    • Organizer
      量子論にまつわる数学と数論の連携探索
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] On Arakawa-Kaneko multiple zeta functions2017

    • Author(s)
      Yasuo Ohno
    • Organizer
      French-Japanese zeta functions
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 荒川-金子型多重ゼータ関数について2017

    • Author(s)
      大野泰生
    • Organizer
      第21回 早稲田大学整数論研究集会
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] Exotic S6 action on Selberg Hodge structure of families of algebraic varieties2017

    • Author(s)
      寺杣友秀
    • Organizer
      第12回鹿児島代数・幾何・解析学セミナー
    • Related Report
      2016 Annual Research Report
  • [Presentation] for group schemes2017

    • Author(s)
      Seidai Yasuda
    • Organizer
      Low dimensional topology and number theory IX
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] A new integral-series identity of multiple zeta values and regularizations2016

    • Author(s)
      Masanobu Kaneko
    • Organizer
      2016 Seoul-Tokyo conference on number theory
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] An introduction to multi-zeta values2016

    • Author(s)
      Masanobu Kaneko
    • Organizer
      Analogies between number fields and function fields: algebraic and analytic aspects
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 多重ゼータ値2016

    • Author(s)
      金子昌信
    • Organizer
      第61回代数学シンポジウム
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] 楕円モジュラーj-関数2016

    • Author(s)
      金子昌信
    • Organizer
      日本応用数理学会年会
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] 有限多重ゼータ値について2016

    • Author(s)
      金子昌信
    • Organizer
      2016大分整数論研究集会
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] On the value-distribution of the difference between logarithms of two symmetric power L-functions2016

    • Author(s)
      Kohji Matsumoto
    • Organizer
      Aspects of Universality 2016
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On the zeros of multiple zeta-functions2016

    • Author(s)
      Kohji Matsumoto
    • Organizer
      Sixth International Conference on Analytic and Probabilistic Methods in Number Theory
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 多重ベルヌーイ数の組合せ論2016

    • Author(s)
      大野泰生
    • Organizer
      第33回代数的組合せ論シンポジウム
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] 一般多重ベルヌーイ数の和公式2016

    • Author(s)
      佐々木義卓
    • Organizer
      日本数学会秋季総合分科会
    • Related Report
      2016 Annual Research Report
  • [Presentation] 多重ベルヌーイ数とその周辺2016

    • Author(s)
      大野泰生
    • Organizer
      富山大学理学部数学教室談話会
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] 多重ベルヌーイ数の零化公式とその応用2016

    • Author(s)
      佐々木義卓
    • Organizer
      2016年度応用数学合同研究集会
    • Related Report
      2016 Annual Research Report
  • [Presentation] Higher category extensions of the holonomy maps of KZ connections2016

    • Author(s)
      Toshitake Kohno
    • Organizer
      Workshop on Grothendieck-Teichmuller Theories
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Higher category extensions of holonomy maps for hyperplane arrangements2016

    • Author(s)
      Toshitake Kohno
    • Organizer
      Summer Conference on Hyperplane Arrangements (SCHA) in Sapporo
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 多重ベルヌーイ数に関する最近の話題2016

    • Author(s)
      津村博文
    • Organizer
      2016大分整数論研究集会
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] Exotic S_6 action on the cohomology of abelian covering of M_052016

    • Author(s)
      Tomohide Terasoma
    • Organizer
      Guest Seminar
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Period of certain open Fermat hypersurfaces2016

    • Author(s)
      Tomohide Terasoma
    • Organizer
      Tsuda college and OIST joint workshop on Calabi-Yau varieties: Arithmetic Geometry and Physics
    • Related Report
      2016 Annual Research Report
  • [Presentation] On the volume conjecture for quantum 6j symbols2016

    • Author(s)
      Murakami Jun
    • Organizer
      Workshop on Teichm .A N|ller and Grothendieck-Teichm N|ller theories
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On the volume conjecture of various SO(3) invariants2016

    • Author(s)
      Murakami Jun
    • Organizer
      Topology and Analysis of Discrete Groups and Hyperbolic Spaces
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] Volume conjecture for quantum 6j symvols2016

    • Author(s)
      Murakami Jun
    • Organizer
      Mini workshop "Growth3"
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] Etale theta functions mono-theta environments and [IUTchI] §1 ? §3 I II2016

    • Author(s)
      Seidai Yasuda
    • Organizer
      Inter-universal Teichmuller Theory Summit 2016
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Belyi's theorem in characteristic two2016

    • Author(s)
      Seidai Yasuda
    • Organizer
      p-adic methods in arithmetic geometry at Sendai
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] A generalization of Kaneko-Sakata's formula2016

    • Author(s)
      山本修司
    • Organizer
      APU多重ゼータ&モジュラーセミナー
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] On Kawashima's relation among multiple zeta values2016

    • Author(s)
      Shuji Yamamoto
    • Organizer
      Analogies between number fields and function fields: algebraic and analytic aspects
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On values of the multiple zeta function of Kaneko-Tsumura type2016

    • Author(s)
      山本修司
    • Organizer
      日台整数論研究集会2016
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Book] ルート系のゼータ関数の理論入門2018

    • Author(s)
      松本耕二
    • Total Pages
      58
    • Publisher
      東北大学大学院理学研究科
    • Related Report
      2017 Annual Research Report
  • [Remarks] 多重ゼータの深化と新展開(日本語)

    • URL

      https://www2.math.kyushu-u.ac.jp/~kaneko-labo/kibans/

    • Related Report
      2020 Annual Research Report 2019 Annual Research Report
  • [Remarks] Multiple zeta values and functions(英語)

    • URL

      https://www2.math.kyushu-u.ac.jp/~kaneko-labo/kibans/en/index.html

    • Related Report
      2020 Annual Research Report 2019 Annual Research Report
  • [Remarks] 多重ゼータの深化と新展開

    • URL

      http://www2.math.kyushu-u.ac.jp/~kaneko-labo/kibans/

    • Related Report
      2018 Annual Research Report
  • [Remarks] Multiple zeta values and functions

    • URL

      http://www2.math.kyushu-u.ac.jp/~kaneko-labo/kibans/en/index.html

    • Related Report
      2018 Annual Research Report
  • [Remarks] 多重ゼータの深化と新展開(日本語版)

    • URL

      http://www2.math.kyushu-u.ac.jp/~kaneko-labo/kibans/

    • Related Report
      2017 Annual Research Report 2016 Annual Research Report
  • [Remarks] 多重ゼータの深化と新展開(英語版)

    • URL

      http://www2.math.kyushu-u.ac.jp/~kaneko-labo/kibans/en/index.html

    • Related Report
      2017 Annual Research Report 2016 Annual Research Report
  • [Funded Workshop] 第13回多重ゼータ研究集会&題48回関西多重ゼータ研究会(共同開催)2020

    • Related Report
      2019 Annual Research Report
  • [Funded Workshop] The 3rd Sendai Wrokshop on Multiple Zeta Values and Related Topics "Hypergeometric Series, Mahler Measures, and Multiple Zeta Values"2019

    • Related Report
      2019 Annual Research Report
  • [Funded Workshop] Japan-Taiwan joint workshop on multiple zeta values2019

    • Related Report
      2019 Annual Research Report
  • [Funded Workshop] Profinite monodromy, Galois representations, and Complex functions2018

    • Related Report
      2018 Annual Research Report
  • [Funded Workshop] Taiwan-Japan Joint Workshop on Multiple Zeta Values2018

    • Related Report
      2018 Annual Research Report
  • [Funded Workshop] Modular Forms and Quantum Knot Invariants2018

    • Related Report
      2017 Annual Research Report

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Published: 2016-06-01   Modified: 2024-03-28  

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