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Functional Relations and Special Values of Mordell-tornheim Triple Zeta and L-functions
http://hdl.handle.net/2237/13842
http://hdl.handle.net/2237/1384281d867b3-bfcd-49e9-b251-ae8b1af8b15b
名前 / ファイル | ライセンス | アクション |
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MNT-PAMS.pdf (203.1 kB)
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2010-07-09 | |||||
タイトル | ||||||
タイトル | Functional Relations and Special Values of Mordell-tornheim Triple Zeta and L-functions | |||||
言語 | en | |||||
著者 |
MATSUMOTO, KOHJI
× MATSUMOTO, KOHJI× NAKAMURA, TAKASHI× TSUMURA, HIROFUMI |
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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 | |||||
権利 | ||||||
言語 | en | |||||
権利情報 | First published in "Proceedings of the American Mathematical Society" in v.136, n.6, 2008 published by the American Mathematical Society | |||||
抄録 | ||||||
内容記述 | In this paper, we prove the existence of meromorphic continuation of certain triple zeta-functions of Lerch's type. Based on this result, we prove some functional relations for triple zeta and L-functions of the Mordell-Tornheim type. Using these functional relations, we prove new explicit evaluation formulas for special values of these functions. These can be regarded as triple analogues of known results for double zeta and L-functions. | |||||
言語 | en | |||||
内容記述タイプ | Abstract | |||||
出版者 | ||||||
言語 | en | |||||
出版者 | American 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 | AM | |||||
出版タイプResource | http://purl.org/coar/version/c_ab4af688f83e57aa | |||||
ISSN(print) | ||||||
収録物識別子タイプ | PISSN | |||||
収録物識別子 | 0002-9939 | |||||
ISSN(Online) | ||||||
収録物識別子タイプ | EISSN | |||||
収録物識別子 | 1088-6826 | |||||
書誌情報 |
Proceedings of the American Mathematical Society 巻 136, 号 6, p. 2136-2145, 発行日 2008-06 |
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フォーマット | ||||||
application/pdf | ||||||
著者版フラグ | ||||||
値 | author | |||||
URI | ||||||
識別子 | http://hdl.handle.net/2237/13842 | |||||
識別子タイプ | HDL |