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2010 Fiscal Year Self-evaluation Report

Analytic structures and arithmetic properties of multiple zeta-functions

Research Project

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Project/Area Number 20340003
Research Category

Grant-in-Aid for Scientific Research (B)

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

Principal Investigator

MATSUMOTO Kohji  Nagoya University, 多元数理科学研究科, 教授 (60192754)

Project Period (FY) 2008 – 2012
Keywords多重ゼータ関数 / 多重L関数
Research Abstract

近年急速に進展しつつある多重ゼータ関数の理論に対して、解析的な手法やルート系の理論などの幅広い方法論を援用し、多重ゼータ関数の族が持つ基本的な構造を解明すると共に、整数論的な問題への応用をはかる。

  • Research Products

    (4 results)

All 2010

All Journal Article (3 results) (of which Peer Reviewed: 3 results) Presentation (1 results)

  • [Journal Article] On Witten multiple zeta-functions associated with semisimple Lie algebras II2010

    • Author(s)
      Y. Komori, K. Matsumoto, H. Tsumura
    • Journal Title

      J.Math.Soc.Japan 62

      Pages: 355-394

    • Peer Reviewed
  • [Journal Article] On multiple Bernoulli polynomials and multiple L-functions of root systems2010

    • Author(s)
      Y. Komori, K. Matsumoto, H. Tsumura
    • Journal Title

      Proc.London Math.Soc. 100

      Pages: 303-347

    • Peer Reviewed
  • [Journal Article] Functional equations and functional relations for the Euler double zeta-function and its generalization of Eisenstein type2010

    • Author(s)
      Y. Komori, K. Matsumoto, H. Tsumura
    • Journal Title

      Publ.Math. Debrecen 77

      Pages: 15-31

    • Peer Reviewed
  • [Presentation] Barnes multiple zeta-functions, Ramanujan's formula, and relevant series involving hyperbolic functions2010

    • Author(s)
      K. Matsumoto
    • Organizer
      POSTECH BSRI-PMI Special Year Program : Special Lectures on Number Theory
    • Place of Presentation
      POSTECH, Pohang, Korea
    • Year and Date
      2010-06-08

URL: 

Published: 2012-02-13   Modified: 2016-04-21  

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