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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

Barnes multiple zeta-functions, Ramanujan’s formula, and relevant series involving hyperbolic functions

http://hdl.handle.net/2237/20427
http://hdl.handle.net/2237/20427
6d171de7-9b5e-4a3a-b956-944c8767408b
名前 / ファイル ライセンス アクション
2.pdf 2.pdf (182.3 kB)
Item type 学術雑誌論文 / Journal Article(1)
公開日 2014-06-27
タイトル
タイトル Barnes multiple zeta-functions, Ramanujan’s formula, and relevant series involving hyperbolic functions
言語 en
著者 Komori, Yasushi

× Komori, Yasushi

WEKO 53350

en Komori, Yasushi

Search repository
Matsumoto, Kohji

× Matsumoto, Kohji

WEKO 53351

en Matsumoto, Kohji

Search repository
Tsumura, Hirofumi

× Tsumura, Hirofumi

WEKO 53352

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
抄録
内容記述 In the former part of this paper, we give functional equations for Barnes multiple zeta-functions and consider some relevant results. In particular, we show that Ramanujan’s classical formula for the Riemann zeta values can be derived from functional equations for Barnes zetafunctions. In the latter half part, we generalize some evaluation formulas for certain series involving hyperbolic functions in terms of Bernoulli polynomials. The original formulas were classically given by Cauchy, Mellin, Ramanujan, and later recovered and reformulated by Berndt. From our consideration, we give multiple versions of these known formulas.
言語 en
内容記述タイプ Abstract
出版者
言語 en
出版者 Ramanujan Mathematical Society
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
ISSN
収録物識別子タイプ PISSN
収録物識別子 0970-1249
書誌情報 Journal of the Ramanujan Mathematical Society

巻 28, 号 1, p. 49–69-49–69, 発行日 2013-03
著者版フラグ
値 publisher
URI
識別子 http://hdl.handle.net/2237/20427
識別子タイプ HDL
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