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Sum formulas for double polylogarithms with a shifting parameter and their derivatives
http://hdl.handle.net/2237/20428
ba3e803c-a6a1-4f27-ae54-18a14de4ba83
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 | 2014-06-27 | |||||
タイトル | ||||||
タイトル | Sum formulas for double polylogarithms with a shifting parameter and their derivatives | |||||
著者 |
Matsumoto, Kohji
× Matsumoto, Kohji× Tsumura, Hirofumi |
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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 | double polylogarithms | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | double L-values | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | sum formulas | |||||
抄録 | ||||||
内容記述 | We prove sum formulas for double polylogarithms of Hurwitz type, that is, involving a shifting parameter b in the denominator. These formulas especially imply well-known sum formulas for double zeta values, and sum formulas for double L-values. Further, differentiating in b, we obtain a kind of weighted sum formula for double polylogarithms and double L-values. We also give sum formulas for partial double zeta values with some congruence conditions. Our proofs of those sum formulas are based on certain functional relations for double polylogarithms of Hurwitz type. | |||||
内容記述タイプ | Abstract | |||||
出版者 | ||||||
出版者 | Moscow Institute of Physics and Technology | |||||
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 | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 2220–5438 | |||||
書誌情報 |
Moscow Journal of Combinatorics and Number Theory 巻 1, 号 4, p. 58-79, 発行日 2011-12-29 |
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著者版フラグ | ||||||
値 | publisher | |||||
URI | ||||||
識別子 | http://hdl.handle.net/2237/20428 | |||||
識別子タイプ | HDL | |||||
URI | ||||||
識別子 | http://mjcnt.phystech.edu/en/article.php?id=35 | |||||
識別子タイプ | URI |