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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

On Witten multiple zeta-functions associated with semisimple Lie algebras I

http://hdl.handle.net/2237/20336
http://hdl.handle.net/2237/20336
1afeb4e7-b71f-4f26-8698-83bfcf4a0785
名前 / ファイル ライセンス アクション
40.pdf 40.pdf (565.9 kB)
Item type 学術雑誌論文 / Journal Article(1)
公開日 2014-06-17
タイトル
タイトル On Witten multiple zeta-functions associated with semisimple Lie algebras I
言語 en
その他のタイトル
その他のタイトル Sur les fonctions zeta multiples de Witten associées aux algèbres de Lie semi-simples
言語 fr
著者 Matsumoto, Kohji

× Matsumoto, Kohji

WEKO 52459

en Matsumoto, Kohji

Search repository
Tsumura, Hirofumi

× Tsumura, Hirofumi

WEKO 52460

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 Witten multiple zeta-functions
キーワード
主題Scheme Other
主題 Mordell-Tornheim zeta-functions
キーワード
主題Scheme Other
主題 Riemann zeta-function
キーワード
主題Scheme Other
主題 analytic continuation
キーワード
主題Scheme Other
主題 semisimple Lie algebra
抄録
内容記述 We define Witten multiple zeta-functions associated with semisimple Lie algebras sl(n), (n=2,3,...) of several complex variables, and prove the analytic continuation of them. These can be regarded as several variable generalizations of Witten zeta-functions defined by Zagier. In the case sl(4), we determine the singularities of this function. Furthermore we prove certain functional relations among this function, the Mordell-Tornheim double zeta-functions and the Riemann zeta-function. Using these relations, we prove new and non-trivial evaluation formulas for special values of this function at positive integers.
言語 en
内容記述タイプ Abstract
出版者
言語 fr
出版者 Annales de L'Institut Fourier
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
DOI
関連タイプ isVersionOf
識別子タイプ DOI
関連識別子 https://doi.org/10.5802/aif.2218
ISSN
収録物識別子タイプ PISSN
収録物識別子 1777-5310
書誌情報 Annales de l'institut Fourier

巻 56, 号 5, p. 1457-1504, 発行日 2006
著者版フラグ
値 publisher
URI
識別子 http://dx.doi.org/10.5802/aif.2218
識別子タイプ DOI
URI
識別子 http://hdl.handle.net/2237/20336
識別子タイプ HDL
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