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普遍性理論と多重ゼータ関数

Research Project

Project/Area Number 14F04317
Research Category

Grant-in-Aid for JSPS Fellows

Allocation TypeSingle-year Grants
Section外国
Research Field Algebra
Research InstitutionNagoya University

Principal Investigator

松本 耕二  名古屋大学, 多元数理科学研究科, 教授 (60192754)

Co-Investigator(Kenkyū-buntansha) PANKOWSKI LUKASZ  名古屋大学, 多元数理科学研究科, 外国人特別研究員
PANKOWSKI Lukasz  名古屋大学, 多元数理科学研究科, 外国人特別研究員
Project Period (FY) 2014-04-25 – 2016-03-31
Project Status Completed (Fiscal Year 2015)
Budget Amount *help
¥1,200,000 (Direct Cost: ¥1,200,000)
Fiscal Year 2015: ¥1,000,000 (Direct Cost: ¥1,000,000)
Fiscal Year 2014: ¥200,000 (Direct Cost: ¥200,000)
Keywordsゼータ関数 / 普遍性 / 強回帰性 / L 関数 / 値分布 / Selberg クラス
Outline of Annual Research Achievements

種々のゼータ関数、L 関数について、Hybrid type の普遍性、strong recurrence, Lerch ゼータの同時普遍性、また必ずしも独立でない場合の普遍性などについて研究を行い、従来の結果を前進させる成果を得た。また Selberg class という広いクラスで扱うことによって統一的な理論展開ができた。

Research Progress Status

27年度が最終年度であるため、記入しない。

Strategy for Future Research Activity

27年度が最終年度であるため、記入しない。

Report

(2 results)
  • 2015 Annual Research Report
  • 2014 Annual Research Report
  • Research Products

    (13 results)

All 2016 2015 Other

All Int'l Joint Research (2 results) Journal Article (6 results) (of which Int'l Joint Research: 4 results,  Peer Reviewed: 6 results) Presentation (5 results) (of which Int'l Joint Research: 1 results)

  • [Int'l Joint Research] Adam Mickiewicz University(ポーランド)

    • Related Report
      2015 Annual Research Report
  • [Int'l Joint Research] Graz Univ of technology(オーストリア)

    • Related Report
      2015 Annual Research Report
  • [Journal Article] On complex zeros off the critical line for non-monomial polynomial of zeta-functions2016

    • Author(s)
      T. Nakamura and L. Pankowski
    • Journal Title

      Math. Z.

      Volume: ?

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Effective version of self-approximation for the Riemann zeta function2016

    • Author(s)
      T. Nakamura and L. Pankowski
    • Journal Title

      Math. Nachr.

      Volume: ?

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Joint universality and generalized strong recurrence for the Riemann zeta function with rational parameter2016

    • Author(s)
      L. Pankowski
    • Journal Title

      J. Number Theory

      Volume: 163 Pages: 61-74

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Value distribution for the derivatives of the logarithm of L functions from the Selberg class in the half-plane of absolute convergence2016

    • Author(s)
      T. Nakamura and L. Pankowski
    • Journal Title

      J. Math. Anal. Appl.

      Volume: 433 Pages: 566-577

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Joint universality for Lerch zeta-functions2016

    • Author(s)
      Y. Lee, T. Nakamura and L. Pankowski
    • Journal Title

      J. Math. Soc. Japan

      Volume: ?

    • NAID

      130005310383

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] A survey on the theory of universality for zeta and L-functions2015

    • Author(s)
      Kohji Matsumoto
    • Journal Title

      Number Theory: Plowing and Starring through High Wave Forms, Series on Number Theory

      Volume: 11 Pages: 95-144

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Presentation] Joint universality for dependent L-functions2016

    • Author(s)
      L. Pankowski
    • Organizer
      第九回ゼータ若手研究集会
    • Place of Presentation
      沖縄船員会館、那覇
    • Year and Date
      2016-02-08
    • Related Report
      2015 Annual Research Report
  • [Presentation] Generalized strong recurrence of the Riemann zeta function with rational parameter2015

    • Author(s)
      L. Pankowski
    • Organizer
      明治学院数論セミナー
    • Place of Presentation
      明治学院大学
    • Year and Date
      2015-11-14
    • Related Report
      2015 Annual Research Report
  • [Presentation] Large values of L-functions from the Selberg class2015

    • Author(s)
      L. Pankowski
    • Organizer
      Zeta functions of Several variables and Applications
    • Place of Presentation
      名古屋大学
    • Year and Date
      2015-11-09
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Generalized strong recurrence of the Riemann zeta function with rational parameter2015

    • Author(s)
      L. Pankowski
    • Organizer
      Seminar
    • Place of Presentation
      Australian National University, Canbella, Australia
    • Year and Date
      2015-09-23
    • Related Report
      2015 Annual Research Report
  • [Presentation] Large values of L-functions from the Selberg class2015

    • Author(s)
      L. Pankowski
    • Organizer
      Analytic Number Theory Seminar
    • Place of Presentation
      KIAS, Korea
    • Year and Date
      2015-08-12
    • Related Report
      2015 Annual Research Report

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Published: 2015-01-22   Modified: 2024-03-26  

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