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Functional relations among certain double polylogarithms and their character analogues
http://hdl.handle.net/2237/20444
http://hdl.handle.net/2237/204440ad7ce02-e64a-4316-8c29-665153d08800
名前 / ファイル | ライセンス | アクション |
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2014-07-07 | |||||
タイトル | ||||||
タイトル | Functional relations among certain double polylogarithms and their character analogues | |||||
言語 | en | |||||
著者 |
MATSUMOTO, Kohji
× MATSUMOTO, Kohji× 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 | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Dirichlet L-functions | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | double L-series | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | double zeta values | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Mordell-Tornheim double 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 | polylogarithms | |||||
抄録 | ||||||
内容記述 | In this paper, we consider certain double polylogarithms and the ordinary polylogarithm of complex variables, and introduce a method of producing functional relations among them. Furthermore we consider Â-analogues of them. These functional relations can be regarded as polylogarithmic generalizations of the known relations between the Mordell- Tornheim double zeta-function and the Riemann zeta-function, and their character analogues, which were studied by the authors. | |||||
言語 | en | |||||
内容記述タイプ | Abstract | |||||
出版者 | ||||||
言語 | en | |||||
出版者 | Šiauliai University | |||||
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 | 1822-511X | |||||
書誌情報 |
Šiauliai Mathematical Seminar 巻 3, 号 11, p. 189-205, 発行日 2008 |
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著者版フラグ | ||||||
値 | publisher | |||||
URI | ||||||
識別子 | http://hdl.handle.net/2237/20444 | |||||
識別子タイプ | HDL |