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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 SEMI-SIMPLE LIE ALGEBRAS IV

http://hdl.handle.net/2237/20064
http://hdl.handle.net/2237/20064
48bebe2e-d33c-48ff-aacd-587fc608854b
名前 / ファイル ライセンス アクション
14.pdf 14.pdf (188.0 kB)
Item type 学術雑誌論文 / Journal Article(1)
公開日 2014-06-02
タイトル
タイトル ON WITTEN MULTIPLE ZETA-FUNCTIONS ASSOCIATED WITH SEMI-SIMPLE LIE ALGEBRAS IV
言語 en
著者 KOMORI, YASUSHI

× KOMORI, YASUSHI

WEKO 52446

en KOMORI, YASUSHI

Search repository
MATSUMOTO, KOHJI

× MATSUMOTO, KOHJI

WEKO 52447

en MATSUMOTO, KOHJI

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
抄録
内容記述 In our previous work, we established the theory of multi-variable Witten zeta-functions, which are called the zeta-functions of root systems. We have already considered the cases of types A2, A3, B2, B3 and C3. In this paper, we consider the case of G2-type. We define certain analogues of Bernoulli polynomials of G2-type and study the generating functions of them to determine the coefficients of Witten’s volume formulas of G2-type. Next, we consider the meromorphic continuation of the zeta-function of G2-type and determine its possible singularities. Finally, by using our previous method, we give explicit functional relations for them which include Witten’s volume formulas.
言語 en
内容記述タイプ Abstract
出版者
言語 en
出版者 Cambridge University Press
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/10.1017/S0017089510000613
ISSN
収録物識別子タイプ PISSN
収録物識別子 0017-0895
書誌情報 Glasgow Mathematical Journal

巻 53, 号 1, p. 185-206, 発行日 2011-01
著者版フラグ
値 publisher
URI
識別子 http://dx.doi.org/10.1017/S0017089510000613
識別子タイプ DOI
URI
識別子 http://hdl.handle.net/2237/20064
識別子タイプ HDL
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