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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

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
16.pdf 16.pdf (385.7 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 Sum formulas for double polylogarithms with a shifting parameter and their derivatives
著者 Matsumoto, Kohji

× Matsumoto, Kohji

WEKO 53353

Matsumoto, Kohji

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Tsumura, Hirofumi

× Tsumura, Hirofumi

WEKO 53354

Tsumura, Hirofumi

Search repository
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
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
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