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Explicit study of number theory of automorphic forms of several variables related to trace formulas.

Research Project

Project/Area Number 25247001
Research Category

Grant-in-Aid for Scientific Research (A)

Allocation TypeSingle-year Grants
Section一般
Research Field Algebra
Research InstitutionOsaka University

Principal Investigator

Ibukiyama Tomoyoshi  大阪大学, その他部局等, 名誉教授 (60011722)

Co-Investigator(Kenkyū-buntansha) 若槻 聡  金沢大学, 数物科学系, 准教授 (10432121)
佐藤 文広  津田塾大学, 付置研究所, 研究員 (20120884)
北山 秀隆  和歌山大学, 教育学部, 准教授 (20622567)
桂田 英典  室蘭工業大学, 工学研究科, 教授 (80133792)
Co-Investigator(Renkei-kenkyūsha) Hayashida Shuichi  上越教育大学, 大学院学校教育研究科, 准教授 (80597766)
Watanabe Takao  大阪大学, 大学院理学研究科, 教授 (30201198)
Moriyama Tomonori  大阪大学, 大学院理学研究科, 准教授 (80384171)
Ochiai Tadashi  大阪大学, 大学院理学研究科, 准教授 (90372606)
Ikeda Tamotsu  京都大学, 大学院理学研究科, 教授 (20211716)
Project Period (FY) 2013-04-01 – 2018-03-31
Project Status Completed (Fiscal Year 2017)
Budget Amount *help
¥25,090,000 (Direct Cost: ¥19,300,000、Indirect Cost: ¥5,790,000)
Fiscal Year 2017: ¥5,980,000 (Direct Cost: ¥4,600,000、Indirect Cost: ¥1,380,000)
Fiscal Year 2016: ¥6,500,000 (Direct Cost: ¥5,000,000、Indirect Cost: ¥1,500,000)
Fiscal Year 2015: ¥5,460,000 (Direct Cost: ¥4,200,000、Indirect Cost: ¥1,260,000)
Fiscal Year 2014: ¥3,380,000 (Direct Cost: ¥2,600,000、Indirect Cost: ¥780,000)
Fiscal Year 2013: ¥3,770,000 (Direct Cost: ¥2,900,000、Indirect Cost: ¥870,000)
Keywordsジーゲル保型形式 / ヤコービ保型形式 / テータ関数 / ゲーゲンバウア関数 / 微分作用素 / ホロノミー系 / ゼータ関数 / コンパクト実形 / 概均質ベクトル空間 / ヤコービ形式 / 跡公式 / 特殊関数論 / 2次形式 / 保型的微分作用素 / 保型形式の合同 / 超特異アーベル多様体 / 4元数的エルミート形式 / L 関数 / アーベル多様体 / 整数論 / 保型形式 / 代数学 / L関数 / 特殊値 / 特殊関数 / リフティング / 種の理論
Outline of Final Research Achievements

In study of the number theory, functions called automorphic forms are important objects which describe various arithmetic properties. We gave many results on these in this project. A theory of automorphic differential operators includes the classical theory of special functions such as Gegenbauer functions, and in our study, we gave three different complete constructions for these operators, which can be regarded as final results. We also gave explicit solutions of associated system of differential equations. We gave conjectures on comparison of
automorphic forms belonging to different domains, and structure theorems of automorphic forms by using constructive methods including automorphic differential operators. Some dimension formulas of automorphic forms and trace formulas of arithmetically important Hecke operators were given, and we clarified their relations to arithmetic invariants in some algebraic geometry over finite fields.

Report

(6 results)
  • 2017 Annual Research Report   Final Research Report ( PDF )
  • 2016 Annual Research Report
  • 2015 Annual Research Report
  • 2014 Annual Research Report
  • 2013 Annual Research Report
  • Research Products

    (156 results)

All 2018 2017 2016 2015 2014 2013 Other

All Int'l Joint Research (5 results) Journal Article (41 results) (of which Int'l Joint Research: 1 results,  Peer Reviewed: 31 results,  Open Access: 14 results,  Acknowledgement Compliant: 9 results) Presentation (99 results) (of which Int'l Joint Research: 24 results,  Invited: 90 results) Book (2 results) Remarks (3 results) Funded Workshop (6 results)

  • [Int'l Joint Research] Max Planck Institute for mathematics/Mannheim University(ドイツ)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research] Int'l Center of Theoretical Physics(イタリア)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research] マックスプランク研究所(ドイツ)

    • Related Report
      2016 Annual Research Report
  • [Int'l Joint Research] 理論物理学国際センター(イタリア)

    • Related Report
      2016 Annual Research Report
  • [Int'l Joint Research] Max Planck Institute for Mathematics(ドイツ)

    • Related Report
      2015 Annual Research Report
  • [Journal Article] Conjectures on correspondence of symplectic modular forms of middle parahoric type and Ihara lifts2018

    • Author(s)
      Ibukiyama Tomoyoshi
    • Journal Title

      Research in Mathematical Sciences

      Volume: 5 Issue: 2

    • DOI

      10.1007/s40687-018-0136-2

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Type numbers of quaternion hermitian forms and supersingular abelian varieties2018

    • Author(s)
      Tomoyoshi Ibukiyama
    • Journal Title

      Osaka Journal of Mathematics

      Volume: 55 Pages: 369-384

    • NAID

      120006464052

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Constructions of theta series of any vector valued weight and applications to lifts and congruences2017

    • Author(s)
      Tomoyoshi Ibukiyama and Sho Takemori
    • Journal Title

      Experimental Mathematics

      Volume: - Issue: 1 Pages: 95-114

    • DOI

      10.1080/10586458.2017.1353454

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Dimension formulas of paramodular forms of squarefree level and comparison with inner twist2017

    • Author(s)
      Tomoyoshi Ibukiyama, Hidetaka Kitayama
    • Journal Title

      Journal of the Mathematical Society of Japan

      Volume: 69 Issue: 2 Pages: 597-671

    • DOI

      10.2969/jmsj/06920597

    • NAID

      130006887130

    • ISSN
      0025-5645, 1881-1167, 1881-2333
    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Universal differential operators on Siegel modular forms2017

    • Author(s)
      Tomoyoshi Ibukiyama
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 2036 Pages: 113-127

    • Related Report
      2017 Annual Research Report
    • Open Access
  • [Journal Article] G-type numbers of quaternion hermitian lattices and supersingular geometry2017

    • Author(s)
      伊吹山知義
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 2055 Pages: 148-159

    • Related Report
      2017 Annual Research Report
    • Open Access
  • [Journal Article] Construction of theta series of any vector-valued weight and applications to lifts and congruences2017

    • Author(s)
      伊吹山知義、竹森翔
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 2055 Pages: 124-136

    • Related Report
      2017 Annual Research Report
    • Open Access
  • [Journal Article] Hopf mappings and automorphic forms on orthogonal groups2017

    • Author(s)
      Fumihiro Sato
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 2055 Pages: 45-54

    • Related Report
      2017 Annual Research Report
    • Open Access
  • [Journal Article] On the period of the Ikeda lift for U(m,m)2017

    • Author(s)
      Katsurada Hidenori
    • Journal Title

      Mathematische Zeitschrift

      Volume: 286 Issue: 1-2 Pages: 141-178

    • DOI

      10.1007/s00209-016-1758-y

    • NAID

      120006459667

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Period of the adelic Ikeda lift for U(m,m)2017

    • Author(s)
      Katsurada Hidenori
    • Journal Title

      Abhandlungen Math. Seminar Univ. Hamburg

      Volume: - Issue: 1 Pages: 67-86

    • DOI

      10.1007/s12188-017-0178-1

    • NAID

      120006407255

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On the irreducibility of Fibonacci and Lucas polynomials over finite fields2017

    • Author(s)
      Hidetaka Kitayama, Daisuke Shiomi
    • Journal Title

      Finite Fields and Their Applications

      Volume: 48C Pages: 420-429

    • DOI

      10.1016/j.ffa.2017.09.003

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Composition of automorphic differential operators ofn Siegel modular forms2016

    • Author(s)
      Tomoyoshi Ibukiyama
    • Journal Title

      Comment. Math. Univ. St. Pauli

      Volume: 65 Pages: 97-109

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Eisenstein congruences for SO(4,3) and SO(4,4), spinor and triple products L values2016

    • Author(s)
      J. Bergstoem, N. Dummigan, T. Megarbane, T. Ibukiyama, H. Katsurada,
    • Journal Title

      Experimental Mathematics(Published Online)

      Volume: 23 Dec Issue: 2 Pages: 1-21

    • DOI

      10.1080/10586458.2016.1251861

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Clifford quartic forms and local functional equations of non-prehomogeneous type2016

    • Author(s)
      Takeyoshi Kogiso and Fumihiro Sato
    • Journal Title

      Journal of Mathematical Sciences,The University of Tokyo

      Volume: 23 Pages: 791-866

    • NAID

      120006904060

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Structures and dimensions of vector valued Jacobi forms of degree2015

    • Author(s)
      Tomoyoshi Ibukiyama
    • Journal Title

      Publication RIMS

      Volume: 51 Issue: 3 Pages: 513-547

    • DOI

      10.4171/prims/163

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Three theorems on Jacobi forms of general degree2015

    • Author(s)
      伊吹山知義
    • Journal Title

      数理解析研究所講究録

      Volume: 1973 Pages: 18-33

    • Related Report
      2015 Annual Research Report
    • Open Access / Acknowledgement Compliant
  • [Journal Article] Congruence between Duke-Imamoglu-Ikeda lifts and non-Duke-Imamoglu-Ikeda lifts2015

    • Author(s)
      Hidenori Katsurada
    • Journal Title

      Commentarii Mathematici St. Pauli

      Volume: 64 Pages: 109-129

    • NAID

      120006459652

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] On Ikeda's conjecture on the period of the Duke-Imamoglu-Ikeda lift2015

    • Author(s)
      H.Katsurada and H.Kawamura
    • Journal Title

      Proc. London Math. J.

      Volume: 111 Issue: 2 Pages: 445-583

    • DOI

      10.1112/plms/pdv011

    • NAID

      120006459648

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] On Ikeda's conjecture on the period of the Dukue-Imamoglu-Ikeda lift2015

    • Author(s)
      Hidenori Katsurada and H. Kawamura
    • Journal Title

      Proc. London Math. J.

      Volume: 55 Pages: 321-364

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Koecher-Maass series of the Ikeda lift for U(m,m)2015

    • Author(s)
      Hidenori Katsurada
    • Journal Title

      Kyoto J. Math.

      Volume: 55 Issue: 2 Pages: 321-364

    • DOI

      10.1215/21562261-2871776

    • NAID

      120006459738

    • Related Report
      2015 Annual Research Report 2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 二次形式のGross-Keating不変量とその応用2015

    • Author(s)
      池田保、桂田英典
    • Journal Title

      数理科学研究所講究録

      Volume: 1973 Pages: 179-188

    • Related Report
      2015 Annual Research Report
    • Open Access
  • [Journal Article] Conjectures of Shimura type and of Harder Type Revisited2014

    • Author(s)
      Tomoyoshi Ibukiyama
    • Journal Title

      Commentarii Mathematici Universitatis Sancti Pauli

      Volume: 63 Pages: 79-103

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Construction of liftings to vector valued Siegel modular forms2014

    • Author(s)
      Tomoyoshi Ibukiyama
    • Journal Title

      Oberwolfach Report

      Volume: 22 Issue: 2 Pages: 1234-1237

    • DOI

      10.4171/owr/2014/22

    • Related Report
      2014 Annual Research Report
  • [Journal Article] Construction of liftings to vector valued Siegel modular forms2014

    • Author(s)
      伊吹山知義
    • Journal Title

      早稲田大学整数論研究集会報告集

      Volume: 2014年版 Pages: 125-144

    • Related Report
      2014 Annual Research Report
    • Acknowledgement Compliant
  • [Journal Article] Higher spherical polynomials(joint work with Don Zagier)2014

    • Author(s)
      伊吹山知義
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 1934 Pages: 123-137

    • Related Report
      2014 Annual Research Report
    • Open Access / Acknowledgement Compliant
  • [Journal Article] Quasi-monomial actions and some 4-dimensional rationality problems2014

    • Author(s)
      Akinari Hoshi, Ming-chang Kang, Hidetaka Kitayama
    • Journal Title

      Journal of algebra

      Volume: 403 Pages: 363-400

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On explicit dimension formulas for spaces of Siegel cusp forms of degree two and their applications2014

    • Author(s)
      Hidetaka Kitayama
    • Journal Title

      Automorphic Forms, Springer Proceedings in Mathematics & Statistics

      Volume: 115 Pages: 137-150

    • DOI

      10.1007/978-3-319-11352-4_10

    • ISBN
      9783319113517, 9783319113524
    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Koecher-Maass series of the adelic Hermitian Eisenstein series and the adelic Hermitian Ikeda lift for U(m,m)2014

    • Author(s)
      Hidenori Katsurada
    • Journal Title

      Commentarii Mathematici Universitatis Sancti Pauli

      Volume: 63 Pages: 137-159

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On the space of Eisenstein series for Gamma_0(p): Fourier Expansions,2014

    • Author(s)
      S. Boecherer (with appendix by H. Katsurad)
    • Journal Title

      Commentarii Mathematici Universitatis Sancti Pauli

      Volume: 63 Pages: 3-22

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On the special values of certain L-series related to half-integral weight modular forms2014

    • Author(s)
      Hidenori Katsurada
    • Journal Title

      Automorphic Forms, Springer Proceedings in Mathematics and Statistics

      Volume: 115 Pages: 119-137

    • NAID

      120006459739

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Explicit formulas for the twisted Koecher-Maass seres of the Duke-Imamoglu-Ikeda lift and their applications2014

    • Author(s)
      Hidenori Katsurada
    • Journal Title

      Math. Zeitschrift

      Volume: 276 Issue: 3-4 Pages: 1049-1075

    • DOI

      10.1007/s00209-013-1232-z

    • Related Report
      2014 Annual Research Report 2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On Fourier coefficients of Siegel modular forms of degree two with respect to congruence subgroups2014

    • Author(s)
      Masataka Chida, Hidenori Katsurada and Kohji Matsumoto
    • Journal Title

      Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg

      Volume: 84 Issue: 1 Pages: 31-47

    • DOI

      10.1007/s12188-013-0087-x

    • NAID

      120006459682

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Exact critical values of the symmetric fourth <i>L</i> function and vector valued Siegel modular forms2014

    • Author(s)
      Tomoyoshi Ibukiyama and Hidenori Katsurada
    • Journal Title

      Journal of the Mathematical Society of Japan

      Volume: 66 Issue: 1 Pages: 139-160

    • DOI

      10.2969/jmsj/06610139

    • NAID

      130003394350

    • ISSN
      0025-5645, 1881-1167, 1881-2333
    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Cogruences to Ikeda-Miyawaki lifts and triple L-values of elliptic modular forms2014

    • Author(s)
      Tomoyoshi Ibukiyama, H. Katsurada, C. Poor, and D. S. Yuen
    • Journal Title

      J. Number Theory

      Volume: 134 Pages: 142-180

    • DOI

      10.1016/j.jnt.2013.07.013

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Koecher-Maass series of a certain half-integral weight modular form related with the Duke-Imamoglu-Ikeda lift2014

    • Author(s)
      H. Katsurada and H. Kawamura
    • Journal Title

      Acta Arithmetica

      Volume: 162 Issue: 1 Pages: 1-42

    • DOI

      10.4064/aa162-1-1

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Congruences modulo 2 for dimensions of spaces of cusp forms2014

    • Author(s)
      Satoshi Wakatsuki
    • Journal Title

      J. Number Theory

      Volume: 140 Pages: 169-180

    • DOI

      10.1016/j.jnt.2014.01.003

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Quasi-monomial actions and some 4-dimensional rationality problems2014

    • Author(s)
      A. Hoshi, M. Kang and H. Kitayama
    • Journal Title

      Journal of Algebra

      Volume: 403 Pages: 363-400

    • DOI

      10.1016/j.jalgebra.2014.01.019

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Modules of vector valued Siegel modular forms of half integral weight2013

    • Author(s)
      Tomoyoshi Ibukiyama
    • Journal Title

      Comment. Math. Univ. St. Pauli

      Volume: 62 Pages: 109-124

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Jacobi forms that characterize paramodular forms2013

    • Author(s)
      Tomoyoshi Ibukiyama, Cris Poor and David S. Yuen
    • Journal Title

      Abh. Math. Sem. Univ. Hamburg

      Volume: 83 Issue: 1 Pages: 111-128

    • DOI

      10.1007/s12188-013-0078-y

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Structures and dimensions of vector valued Jacobi forms, and conjectures of Shimura type and Harder type2013

    • Author(s)
      伊吹山知義
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 1871 Pages: 214-225

    • Related Report
      2013 Annual Research Report
  • [Journal Article] Multiplicity formulas for discrete series representations in L^2(\Gamma\backslash Sp(2,R))2013

    • Author(s)
      Satoshi Wakatsuki
    • Journal Title

      J. Number Theory

      Volume: 133 Issue: 10 Pages: 3394-3425

    • DOI

      10.1016/j.jnt.2013.04.013

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Presentation] Siegel modular forms of middle parahoric subgroups and Ihara lifts2018

    • Author(s)
      Tomoyoshi Ibukiyama
    • Organizer
      RIMS workshop, Analytic and Arithmetic theory of automorphic forms
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On the Gross-Keating invariant for Hermitian forms2018

    • Author(s)
      池田保、桂田英典
    • Organizer
      RIMS workshop, Analytin and Arithmetic theory of automorphif forms
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Local zeta functions associated with decomposable graphs2017

    • Author(s)
      佐藤文広
    • Organizer
      ワークショップ 「行列解析の展開」
    • Place of Presentation
      名古屋大学多元数理科学研究科
    • Year and Date
      2017-03-29
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] Universal automorphic differential operators on Siegel modular forms2017

    • Author(s)
      Tomoyoshi Ibukiyama
    • Organizer
      JAMI 2017, Local zeta functions and the arithmetic of moduli spaces, A conference in memory of Jun-Ichi Igusa
    • Place of Presentation
      Johns Hopkins 大学、ボルチモア、アメリカ合衆国
    • Year and Date
      2017-03-25
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 有限体上既約なFibonacci多項式とLucas多項式2017

    • Author(s)
      北山秀隆、塩見大輔
    • Organizer
      日本数学会2016年度年会
    • Place of Presentation
      首都大学東京南大沢キャンパス
    • Year and Date
      2017-03-24
    • Related Report
      2016 Annual Research Report
  • [Presentation] Introduction to Siegel modular forms and their construction2017

    • Author(s)
      Tomoyoshi Ibukiyama
    • Organizer
      Seminar at Acadmia Sinica
    • Place of Presentation
      中央研究院、台北、台湾
    • Year and Date
      2017-03-22
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] Conjectures on Siegel modular forms of half-integral weight and integral weight2017

    • Author(s)
      Tomoyoshi Ibukiyama
    • Organizer
      Lakeside Seminar at Academia Sinica
    • Place of Presentation
      中央研究院、台北、台湾
    • Year and Date
      2017-02-20
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] G-type numbers of quaternion hermitian lattices and supersingular geometry2017

    • Author(s)
      Tomoyoshi Ibukiyama
    • Organizer
      RIMS workshop, Modular forms and related topics
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2017-02-09
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Hopf mappings and automorphic forms on orthogonal groups2017

    • Author(s)
      佐藤文広
    • Organizer
      研究集会 『保型形式とその周辺』
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2017-02-07
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 重さが0でないマース形式の上限ノルム2017

    • Author(s)
      若槻 聡
    • Organizer
      東北大学代数セミナー
    • Place of Presentation
      東北大学理学部数学科
    • Year and Date
      2017-01-12
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] Universal automorphic differential operators on Siegel modular forms2017

    • Author(s)
      Tomoyoshi Ibukiyama
    • Organizer
      Aspects of automorphic forms and applications, Univ. Hong Kong
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Introduction to Siegel modular forms and automorphic differential operators2017

    • Author(s)
      Tomoyoshi Ibukiyama
    • Organizer
      Seminar of Shanghai Jiao Tong University
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Siegel modular forms and Ihara lifts to algebraic automorphic forms2017

    • Author(s)
      Tomoyoshi Ibukiyama
    • Organizer
      Modular Forms are Everywhere, MPI Bonn, Germany
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] (1)Prob. setting and 1st characterization by inv. pluri-harmonic poly. (2) Two can. bases of spher. poly. (3) Inhomog. var. and holonomic systems (4) Universal auto.diff. operators2017

    • Author(s)
      Tomoyoshi Ibukiyama
    • Organizer
      Hakuba Autumn Workshop: Automorphic differential operators on Siegel modular forms, Hotel Abest Happo Aldea
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Pullback of Eisenstein series and its applications (1) (2)2017

    • Author(s)
      Hidenori Katsurada
    • Organizer
      Hakuba Autumn Workshop, Automorphic differential operators on Siegel modular forms, Hotel Abest Happo Aldea
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Explicit formula for Siegel series2017

    • Author(s)
      Hidenori Katsurada
    • Organizer
      Number theory Down Under 5, The Trobe University, Bendigo, Australia
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Equivariant subconvex bounds for Hecke-Maass forms2017

    • Author(s)
      若槻聡
    • Organizer
      神戸整数論研究集会、神戸大学
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Equivariant subconvex bounds for Hecke-Maass forms2017

    • Author(s)
      若槻聡
    • Organizer
      第4回京都保形形式研究集会、京都大学
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] A trace formula on SL(3,Z)\SL(3,R)/SO(3)2017

    • Author(s)
      若槻聡
    • Organizer
      Special values of automorphic L-functions, periods of automorphic forms and related topics, 大阪市立大学
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] A trace formula on SL(3,Z)\SL(3,R)/SO(3)2017

    • Author(s)
      若槻聡
    • Organizer
      京都大学数学教室談話会
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] A trace formula on SL(3,Z)\SL(3,R)/SO(3)2017

    • Author(s)
      若槻聡
    • Organizer
      Zeta functions and trace formulas in Fukuoka
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Siegel modular forms with respect to non-split symplectic groups2017

    • Author(s)
      北山秀隆
    • Organizer
      Journees Arithmetiques, Caen Univ. France
    • Related Report
      2017 Annual Research Report
  • [Presentation] Rationality problem for purely monomial group actions2017

    • Author(s)
      北山秀隆
    • Organizer
      日本数学会秋季総合分科会、山形大学
    • Related Report
      2017 Annual Research Report
  • [Presentation] Noetherの不変体有理性問題とその周辺2017

    • Author(s)
      北山秀隆
    • Organizer
      大分熊本整数論研究集会、くまもと県民交流会館パレア
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Siegel modular forms with respect to non-split symplectic groups2017

    • Author(s)
      北山秀隆
    • Organizer
      3rd Japanese-German Number Theory Workshop、MPI bonn, Germany
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] 純単項作用の不変体有理性問題2017

    • Author(s)
      北山秀隆
    • Organizer
      新潟代数セミナー、新潟大学
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] 純単項作用の不変体有理性問題2017

    • Author(s)
      北山秀隆
    • Organizer
      早稲田整数論研究集会、早稲田大学
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Siegel's zeta functions of general indefinite quadratic forms2016

    • Author(s)
      Tomoyoshi Ibukiyama
    • Organizer
      School of Mock Modular Forms and Related Topics
    • Place of Presentation
      九州大学産学官イノベーションプラザ
    • Year and Date
      2016-11-24
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] ジーゲル保型形式の次元公式2016

    • Author(s)
      若槻 聡
    • Organizer
      新潟代数セミナー
    • Place of Presentation
      新潟大学理学部
    • Year and Date
      2016-10-25
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] 例外群 G_2 の跡公式と2元3次形式の空間の新谷ゼータ関数2016

    • Author(s)
      若槻 聡
    • Organizer
      整数論保型形式セミナー
    • Place of Presentation
      大阪大学理学部
    • Year and Date
      2016-10-21
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] ジーゲル保型形式の次元公式2016

    • Author(s)
      若槻 聡
    • Organizer
      大阪大学数学教室談話会
    • Place of Presentation
      大阪大学理学部
    • Year and Date
      2016-10-17
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] Modular forms on the compact symplectic group,2016

    • Author(s)
      Tomoyoshi Ibukiyama
    • Organizer
      Seminar at Shanghai Jiao Tong University
    • Place of Presentation
      上海交通大学、上海、中国
    • Year and Date
      2016-09-28
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] Period and congruence of automorphic form2016

    • Author(s)
      Hidenori Katsurada
    • Organizer
      Number Theory Down Under
    • Place of Presentation
      Newcastle,Australia
    • Year and Date
      2016-09-24
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Siegel modular forms and automorphic differential operators2016

    • Author(s)
      Tomoyoshi Ibukiyama
    • Organizer
      Seminar at Shanghai Tongji University
    • Place of Presentation
      上海同済大学、上海、中国
    • Year and Date
      2016-09-22
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] 例外群 G_2 の跡公式と2元3次形式の空間の新谷ゼータ関数2016

    • Author(s)
      若槻 聡
    • Organizer
      九大代数学セミナー
    • Place of Presentation
      九州大学数理学研究科
    • Year and Date
      2016-08-05
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] The dimensions of spaces of Siegel cusp forms of general degree2016

    • Author(s)
      若槻 聡
    • Organizer
      TSUDA COLLEGE AND OIST JOINT WORKSHOP ON CALABI-YAU VARIETIES:ARITHMETIC, GEOMETRY AND PHYSICS
    • Place of Presentation
      東京大学数理科学研究科
    • Year and Date
      2016-08-03
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 例外群 G_2 の跡公式と2元3次形式の空間の新谷ゼータ関数2016

    • Author(s)
      若槻聡
    • Organizer
      数論合同セミナー
    • Place of Presentation
      京都大学理学部
    • Year and Date
      2016-07-22
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] Conjecture on Shimura type correspondence of degree two and Harder's conjecture2016

    • Author(s)
      Tomoyoshi Ibukiyama
    • Organizer
      Automorphic forms on metaplectic groups and related topics,
    • Place of Presentation
      IISER, Pune インド
    • Year and Date
      2016-07-07
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Perfect powers in Fibonacci and Lucas polynomials over finite fields2016

    • Author(s)
      Hidetaka Kitayama and Daisuke Shiomi
    • Organizer
      17th International Conference on Fibonacci Numbers and Their Applications
    • Place of Presentation
      Caen, France
    • Year and Date
      2016-06-30
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Siegel modular forms and quaternion hermitian forms2016

    • Author(s)
      Tomoyoshi Ibukiyama
    • Organizer
      Arithmetic and low dimensional hyperbolic spaces
    • Place of Presentation
      Galatasaray 大学、イスタンブール、トルコ
    • Year and Date
      2016-06-27
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 4次形式とアイゼンシュタイン級数2016

    • Author(s)
      佐藤文広
    • Organizer
      名古屋大学解析数論セミナー
    • Place of Presentation
      名古屋大学多元数理科学研究科
    • Year and Date
      2016-06-24
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] ジーゲル保型形式の次元公式2016

    • Author(s)
      若槻聡
    • Organizer
      北陸数論セミナー
    • Place of Presentation
      金沢大学サテライトプラザ
    • Year and Date
      2016-04-28
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] ジーゲル保型形式の次元公式2016

    • Author(s)
      若槻 聡
    • Organizer
      日本数学会企画特別講演
    • Place of Presentation
      筑波大学(茨城県・つくば市)
    • Year and Date
      2016-03-19
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] 保型形式の周期と合同およびそれに関連する話題2016

    • Author(s)
      桂田英典
    • Organizer
      日本数学会代数分科会特別講演
    • Place of Presentation
      筑波大学(茨城県・つくば市)
    • Year and Date
      2016-03-18
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] ある2変数概均質ベクトル空間から構成される実解析的保型形式について2016

    • Author(s)
      佐藤文広、杉山和成、上野隆彦
    • Organizer
      日本数学会年会
    • Place of Presentation
      筑波大学(茨城県・つくば市)
    • Year and Date
      2016-03-18
    • Related Report
      2015 Annual Research Report
  • [Presentation] Higher spherical polynomials motivated by differential operators on Siegl modular forms2016

    • Author(s)
      Tomoyoshi Ibukiyama
    • Organizer
      Academia Sinica: Colloquium of Institute of Mathemacis
    • Place of Presentation
      中央研究院(台北・台湾)
    • Year and Date
      2016-02-25
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] Quaternion hermitian forms and supersingular geometry(II)2016

    • Author(s)
      Tomoyoshi Ibukiyama
    • Organizer
      Academia Sinica NCTS Number Theory Seminar
    • Place of Presentation
      中央研究院(台北・台湾)
    • Year and Date
      2016-02-24
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] Quaternion hermitian forms and supersingular geometry(I)2016

    • Author(s)
      Tomoyoshi Ibukiyama
    • Organizer
      Academia Sinica NCTS Number Theory Seminar
    • Place of Presentation
      中央研究院 (台北・台湾)
    • Year and Date
      2016-02-22
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] Gluing prehomogeneous vector spaces2016

    • Author(s)
      Fumihiro Sato
    • Organizer
      Geometry, Reopresentation theory and Differential Equations
    • Place of Presentation
      九州大学マス・フォア・インダストリー研究所(福岡県・福岡市)
    • Year and Date
      2016-02-17
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Explicit formula for the Siegel series of a quadratic form over a non-archimedian local field2016

    • Author(s)
      池田保,桂田英典
    • Organizer
      Automorphic Forms, Automorphic L functions and Related Topics
    • Place of Presentation
      京都大学数理解析研究所(京都府・京都市)
    • Year and Date
      2016-02-05
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] The universal differential operators on Siegel modular forms2016

    • Author(s)
      Tomoyoshi Ibukiyama
    • Organizer
      Automorphic Forms, Automorphic L functions and Related Topics
    • Place of Presentation
      京都大学数理解析研究所(京都府・京都市)
    • Year and Date
      2016-02-03
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] The dimensions of spaces of Siegel cusp forms of general degree2016

    • Author(s)
      若槻 聡
    • Organizer
      日韓整数論セミナー(浦項工科大学)
    • Place of Presentation
      浦項工科大学(Pohang, 韓国)
    • Year and Date
      2016-02-02
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] The vanishing criterion of automorphic forms2016

    • Author(s)
      Tomoyoshi Ibukiyama
    • Organizer
      MFO: Lattices and Applications in Number Theory
    • Place of Presentation
      オーベルヴォルファッハ数学研究所 (Oberwolfach, ドイツ)
    • Year and Date
      2016-01-21
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] The universal higher spherical series associated with differential operators on Siegel modular forms2016

    • Author(s)
      Tomoyoshi Ibukiyama
    • Organizer
      ASARC Workshop on Coding theory and Number theory at Haeundae Riviera Hotel
    • Place of Presentation
      海雲台リベラホテル(Pusan, 韓国)
    • Year and Date
      2016-01-13
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] The dimensions of spaces of Siegel cusp forms of general degree, Part I, Part II2015

    • Author(s)
      若槻 聡
    • Organizer
      Moduli spaces of abelian varieties and curves, and related analysis
    • Place of Presentation
      東京大学大学院数理科学研究科(東京都・目黒区)
    • Year and Date
      2015-12-17
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] Universal differential operators on Siegel modular forms2015

    • Author(s)
      伊吹山知義
    • Organizer
      早稲田大学整数論セミナー
    • Place of Presentation
      早稲田大学(東京都・新宿区)
    • Year and Date
      2015-11-27
    • Related Report
      2015 Annual Research Report
  • [Presentation] Zeta functions in several variables associated with prehomogeneous vector spaces2015

    • Author(s)
      Fumihiro Sato
    • Organizer
      Zeta functions of several variables and applications
    • Place of Presentation
      名古屋大学(愛知県・名古屋市)
    • Year and Date
      2015-11-13
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] The universal differential operators on Siegel modular forms2015

    • Author(s)
      Tomoyoshi Ibukiyama
    • Organizer
      Max Planck Instutute: Number Theory Lunch seminar
    • Place of Presentation
      マックスプランク研究所(Bonn, ドイツ)
    • Year and Date
      2015-08-19
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] The universal differential operators on Siegel modular forms2015

    • Author(s)
      Tomoyoshi Ibukiyama
    • Organizer
      Mannheim University Seminar
    • Place of Presentation
      マンハイム大学(Mannheim, ドイツ)
    • Year and Date
      2015-07-24
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] The dimensions of spaces of Siegel cusp forms of general degree2015

    • Author(s)
      若槻 聡
    • Organizer
      3rd Kyoto conference on automorphic forms
    • Place of Presentation
      京都大学大学院理学研究科(京都府・京都市)
    • Year and Date
      2015-06-26
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] Zeta functions of Clifford quartic forms and Eisenstein series of orthogonal groups2015

    • Author(s)
      Fumihiro Sato
    • Organizer
      3rd Kyoto conference on automorphic forms
    • Place of Presentation
      京都大学大学院理学研究科(京都府・京都市)
    • Year and Date
      2015-06-26
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] New theorems on Jacobi forms of general degree2015

    • Author(s)
      Tomoyoshi Ibukiyama
    • Organizer
      CIRM: Automorphic forms, Advances and Applications
    • Place of Presentation
      国際数学集会センター(Luminy, フランス)
    • Year and Date
      2015-05-25
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 一般次数のジーゲルカスプ形式の空間の次元について2015

    • Author(s)
      若槻 聡
    • Organizer
      早稲田大学整数論セミナー
    • Place of Presentation
      早稲田大学(東京都・新宿区)
    • Year and Date
      2015-05-22
    • Related Report
      2015 Annual Research Report
  • [Presentation] Siegel modular forms and computer calculations: personal experience, results, and open problems2015

    • Author(s)
      伊吹山知義
    • Organizer
      計算機数論ワークショップ
    • Place of Presentation
      九州大学(福岡県・福岡市)
    • Year and Date
      2015-02-22
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] 二次形式の Gross-Keating 不変量とその応用2015

    • Author(s)
      池田保、桂田英典
    • Organizer
      京都大学数理解析研究所研究集会「Modular形式と保型表現」
    • Place of Presentation
      京都大学(京都府・京都市)
    • Year and Date
      2015-02-06
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Three theorems on Jacobi forms of general degree2015

    • Author(s)
      Tomoyoshi Ibukiyama
    • Organizer
      京都大学数理解析研究所研究集会「モジュラー形式と保型表現」
    • Place of Presentation
      京都大学(京都府・京都市)
    • Year and Date
      2015-02-02
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Correspondence between symplectic automorphic forms2015

    • Author(s)
      Tomoyoshi Ibukiyama
    • Organizer
      Workshop on automorphic forms at Kumamoto
    • Place of Presentation
      熊本大学(熊本県・熊本市)
    • Year and Date
      2015-01-08
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Periods and congruences of various lifts of modular forms2015

    • Author(s)
      Hidenori Katsurada
    • Organizer
      Workshop on automorphic forms at Kumamoto
    • Place of Presentation
      熊本大学(熊本県.・熊本市)
    • Year and Date
      2015-01-07
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Integrals of Wishart-Siegel type and local functional equations2014

    • Author(s)
      Fumihiro Sato
    • Organizer
      Analysis, Geometry and Representations on Lie groups and Homogeneous Spaces
    • Place of Presentation
      Ryad Mogador Opera Hotel、マラケシュ(モロッコ)
    • Year and Date
      2014-12-09
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Rationality problem for purely monomial group actions2014

    • Author(s)
      北山秀隆
    • Organizer
      大阪大学整数論・保型形式セミナー
    • Place of Presentation
      大阪大学(大阪府・豊中市)
    • Year and Date
      2014-11-28
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Higher Spherical Polynomials2014

    • Author(s)
      Tomoyoshi Ibukiyama
    • Organizer
      Algebraic Combinatorics Workshop
    • Place of Presentation
      中国科学技術大学、合肥市(中国)
    • Year and Date
      2014-11-27
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Congruences modulo 2 for dimensions of spaces of cusp forms2014

    • Author(s)
      Satoshi Wakatsuki
    • Organizer
      ライプチッヒ大学セミナー
    • Place of Presentation
      ライプチッヒ大学、ライプチッヒ(ドイツ)
    • Year and Date
      2014-11-17
    • Related Report
      2014 Annual Research Report
  • [Presentation] Jacobi forms of general degree2014

    • Author(s)
      Tomoyoshi Ibukiyama
    • Organizer
      第17回整数論オータムワークショップ
    • Place of Presentation
      白馬ハイマウントホテル(長野県・白馬村)
    • Year and Date
      2014-11-09
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Differential operators on Siegel modular forms and applications2014

    • Author(s)
      Tomoyoshi Ibukiyama
    • Organizer
      清華大学セミナー
    • Place of Presentation
      清華大学、北京市(中国)
    • Year and Date
      2014-10-28
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Rationality problem for quasi-monomial group actions2014

    • Author(s)
      Hidetaka Kitayama
    • Organizer
      New Developments in Algebraic Geometry
    • Place of Presentation
      国立台湾大学、台北 (台湾)
    • Year and Date
      2014-09-05
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Automorphic pairs of distributions on prehomogeneous vector spaces and zeta functions2014

    • Author(s)
      Fumihiro Sato
    • Organizer
      Prehomogeneous Vector Spaces and Related Topics --JSPS-CNRS joint seminar--
    • Place of Presentation
      立教大学(東京都・豊島区)
    • Year and Date
      2014-09-04
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Construction of liftings to vector valued Siegel modular forms2014

    • Author(s)
      Tomoyoshi Ibukiyama
    • Organizer
      Workshop in Oberwolfach "Modular forms"
    • Place of Presentation
      オーベルヴォルファッハ数学研究所、オーベルヴォルファッハ(ドイツ)
    • Year and Date
      2014-04-29
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Construction of liftings to vector valued Siegel modular forms

    • Author(s)
      伊吹山知義
    • Organizer
      早稲田大学整数論研究集会
    • Place of Presentation
      早稲田大学
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Higher Spherical Polynomials (joint work with Don Zagier)

    • Author(s)
      Tomoyoshi Ibukiyama
    • Organizer
      京大数理解析研究所研究集会「保型形式および関連するゼータ関数の研究」
    • Place of Presentation
      京都大学
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] 2次整環の清水 L 関数、2次形式の合成と種の理論、および跡公式

    • Author(s)
      伊吹山知義
    • Organizer
      早稲田大学整数論セミナー
    • Place of Presentation
      早稲田大学
    • Related Report
      2013 Annual Research Report
  • [Presentation] Jacobi forms of degree two

    • Author(s)
      Tomoyoshi Ibukiyama
    • Organizer
      The 41st Seminar Aachen-Koeln-Lille-Siegen on Automorphic Forms
    • Place of Presentation
      Max Planck Institute for Mathematics, Bonn, Germany
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Differential operators on Siegel modular forms and applications

    • Author(s)
      Tomoyoshi Ibukiyama
    • Organizer
      Oberseminar Zahlentheorie
    • Place of Presentation
      Universtaet Koeln, Germany
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Differential operators on Siegel modular forms and various applications

    • Author(s)
      Tomoyoshi Ibukiyama
    • Organizer
      Number Theory Seminars
    • Place of Presentation
      ETH Zuerich, Switzerland
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] A half-integral weight version of Harder's conjecture on congruences

    • Author(s)
      Tomoyshi Ibukiyama
    • Organizer
      Number Theory Lunch
    • Place of Presentation
      Max Planck Institute for Mathematics, Bonn, Germany
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Differential operators on Siegel modular forms and its various applications

    • Author(s)
      Tomoyoshi Ibukiyama
    • Organizer
      Colloquium of Department of Mathematical Sciences
    • Place of Presentation
      Durham University, Durham, UK
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Vector valued Jacobi forms of degree two of index one

    • Author(s)
      Tomoyoshi Ibukiyama
    • Organizer
      Workshop on Modular Forms and Jacobi Forms
    • Place of Presentation
      上越教育大学
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] 2次ベクトル値ヤコービ形式の構造と次元公式

    • Author(s)
      伊吹山知義
    • Organizer
      代数セミナー
    • Place of Presentation
      愛媛大学
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Zeta functions of quadratic mappings

    • Author(s)
      Fumihiro Sato
    • Organizer
      Modular functions and quadratic forms --Number theoretic delights--
    • Place of Presentation
      大阪大学中之島センター
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] 局所関数等式、超関数の保型対、ゼータ関数

    • Author(s)
      佐藤文広
    • Organizer
      表現論シンポジウム
    • Place of Presentation
      マホロバ・マインズ三浦
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Spherical homogeneous spaces --Definition, Classification, Weyl group --

    • Author(s)
      Fumihiro Sato
    • Organizer
      The 16-th autumn workshop in number theory
    • Place of Presentation
      白馬ハイマウントホテル
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Refined version of Ikeda's conjecture on the period of the Hermitian Ikeda lift, and its application

    • Author(s)
      Hidenori Katsurada
    • Organizer
      Explicit Theory of Automorphic Forms
    • Place of Presentation
      Tongji University, Shanghai, China
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] On coefficients of unipotent orbital integrals for the symplectic group of rank 2, I, II

    • Author(s)
      若槻 聡
    • Organizer
      ミニ集会「跡公式と、関連する話題につい て」
    • Place of Presentation
      東京大学
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] 階数2のシンプレクティック群に関するユニポテント軌道積分の係数に ついて

    • Author(s)
      若槻 聡
    • Organizer
      第58回代数学シンポジウム
    • Place of Presentation
      広島大学
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] 2元2次形式の空間に関するL関数とエンドスコピー

    • Author(s)
      若槻 聡
    • Organizer
      大阪大学整数論保 型形式セミナー
    • Place of Presentation
      大阪大学
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] A relation for dimensions of spaces of Siegel cusp forms of degree two, Workshop on modular forms and Jacobi forms

    • Author(s)
      Satoshi Wakatsuki
    • Organizer
      Workshop on modular forms and Jacobi forms
    • Place of Presentation
      上越教育大学
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Rationality problem for quasi-monomial actions

    • Author(s)
      Hidetaka Kitayama
    • Organizer
      One-day workshop of algebra
    • Place of Presentation
      National Taiwan University (Taiwan)
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] ネーター問題入門

    • Author(s)
      北山秀隆
    • Organizer
      西早稲田数論セミナー「ネーター問題をめぐって」
    • Place of Presentation
      早稲田大学
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] The rationality problem for purely monomial group actions

    • Author(s)
      北山秀隆
    • Organizer
      早稲田整数論セミナー
    • Place of Presentation
      早稲田大学
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] On Siegel modular forms with respect to non-split symplectic groups

    • Author(s)
      Hidetaka Kitayama
    • Organizer
      Explicit theory of automorphic forms
    • Place of Presentation
      Tongji University, Shanghai, China
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Book] 保型形式特論2018

    • Author(s)
      伊吹山知義
    • Total Pages
      477
    • Publisher
      共立出版
    • Related Report
      2017 Annual Research Report
  • [Book] Bernoulli Numbers and Zeta Functions2014

    • Author(s)
      Tsuneo Arakawa, Tomoyoshi Ibukiyama and Masanobu Kaneko
    • Total Pages
      274
    • Publisher
      Springer Verlag
    • Related Report
      2014 Annual Research Report
  • [Remarks] 伊吹山知義 オフィシャルサイト

    • URL

      http://www.math.sci.osaka-u.ac.jp/~ibukiyam

    • Related Report
      2017 Annual Research Report
  • [Remarks] 伊吹山知義オフィシャルサイト

    • URL

      http://www.math.sci.osaka-u.ac.jp/~ibukiyam

    • Related Report
      2016 Annual Research Report 2015 Annual Research Report 2014 Annual Research Report
  • [Remarks] 伊吹山知義オフィシャルページ

    • URL

      http://www.math.sci.osaka-u.ac.jp/~ibukiyam

    • Related Report
      2013 Annual Research Report
  • [Funded Workshop] Analytic and Arithmetic Theory of Automorphic Forms, RIMS Kyoto2018

    • Related Report
      2017 Annual Research Report
  • [Funded Workshop] JAMI2017, Local zeta functions and arithmetic of moduli spaces2017

    • Place of Presentation
      Johns Hopkins 大学(アメリカ、ボルチモア)
    • Year and Date
      2017-03-22
    • Related Report
      2016 Annual Research Report
  • [Funded Workshop] RIMS workshop, Automorphic forms and related topics2017

    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2017-02-06
    • Related Report
      2016 Annual Research Report
  • [Funded Workshop] Automorphic differential operators on Siegel modular forms, Hotel Abest Happo Aldea2017

    • Related Report
      2017 Annual Research Report
  • [Funded Workshop] School on Mock Modular Forms and Related Topics2016

    • Place of Presentation
      九州大学産学官イノベーションプラザ
    • Year and Date
      2016-11-21
    • Related Report
      2016 Annual Research Report
  • [Funded Workshop] Automorphic forms, Automorphic L functions and Related Topics2016

    • Place of Presentation
      京都大学数理解析研究所(京都府・京都市)
    • Year and Date
      2016-02-02
    • Related Report
      2015 Annual Research Report

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Published: 2013-05-15   Modified: 2019-07-29  

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