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  1. D200 大学院多元数理科学研究科
  2. D200a 雑誌掲載論文
  3. 学術雑誌

Zeta and L-functions and Bernoulli polynomials of root systems

http://hdl.handle.net/2237/13843
http://hdl.handle.net/2237/13843
754169f4-5acf-4d07-8605-503f471827f3
名前 / ファイル ライセンス アクション
proc_japan_acad_84.pdf proc_japan_acad_84.pdf (131.9 kB)
Item type 学術雑誌論文 / Journal Article(1)
公開日 2010-07-09
タイトル
タイトル Zeta and L-functions and Bernoulli polynomials of root systems
言語 en
著者 Komori, Yasushi

× Komori, Yasushi

WEKO 37918

en Komori, Yasushi

Search repository
Matsumoto, Kohji

× Matsumoto, Kohji

WEKO 37919

en Matsumoto, Kohji

Search repository
Tsumura, Hirofumi

× Tsumura, Hirofumi

WEKO 37920

en Tsumura, Hirofumi

Search repository
アクセス権
アクセス権 open access
アクセス権URI http://purl.org/coar/access_right/c_abf2
キーワード
主題Scheme Other
主題 Multiple zeta-function
キーワード
主題Scheme Other
主題 Witten zeta-function
キーワード
主題Scheme Other
主題 root systems
キーワード
主題Scheme Other
主題 simple Lie
キーワード
主題Scheme Other
主題 algerasanalytic continuation
キーワード
主題Scheme Other
主題 functional relation
抄録
内容記述 This article is essentially an announcement of the papers [7,8,9,10] of the authors, though some of the examples are not included in those papers. We consider what is called zeta and L-functions of root systems which can be regarded as a multi-variable version of Witten multiple zeta and L-functions. Furthermore, corresponding to these functions, Bernoulli polynomials of root systems are defined. First we state several analytic properties, such as analytic continuation and location of singularities of these functions. Secondly we generalize the Bernoulli polynomials and give some expressions of values of zeta and L-functions of root systems in terms of these polynomials. Finally we give some functional relations among them by our previous method. These relations include the known formulas for their special values formulated by Zagier based on Witten’s work.
言語 en
内容記述タイプ Abstract
出版者
言語 en
出版者 Japan Academy
言語
言語 eng
資源タイプ
資源タイプresource http://purl.org/coar/resource_type/c_6501
タイプ journal article
出版タイプ
出版タイプ VoR
出版タイプResource http://purl.org/coar/version/c_970fb48d4fbd8a85
書誌情報 Proceedings of the Japan Academy, Ser. A Mathematical Sciences

巻 84, 号 5, p. 57-62, 発行日 2008
フォーマット
application/pdf
著者版フラグ
値 publisher
URI
識別子 http://hdl.handle.net/2237/13843
識別子タイプ HDL
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