WEKO3
アイテム
Zeta and L-functions and Bernoulli polynomials of root systems
http://hdl.handle.net/2237/13843
http://hdl.handle.net/2237/13843754169f4-5acf-4d07-8605-503f471827f3
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
proc_japan_acad_84.pdf (131.9 kB)
|
|
| Item type | 学術雑誌論文 / Journal Article(1) | |||||
|---|---|---|---|---|---|---|
| 公開日 | 2010-07-09 | |||||
| タイトル | ||||||
| タイトル | Zeta and L-functions and Bernoulli polynomials of root systems | |||||
| 言語 | en | |||||
| 著者 |
Komori, Yasushi
× Komori, Yasushi× Matsumoto, Kohji× Tsumura, Hirofumi |
|||||
| 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 | Multiple zeta-function | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | Witten zeta-function | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | root systems | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | simple Lie | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | algerasanalytic continuation | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | functional relation | |||||
| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | This article is essentially an announcement of the papers [7,8,9,10] of the authors, though some of the examples are not included in those papers. We consider what is called zeta and L-functions of root systems which can be regarded as a multi-variable version of Witten multiple zeta and L-functions. Furthermore, corresponding to these functions, Bernoulli polynomials of root systems are defined. First we state several analytic properties, such as analytic continuation and location of singularities of these functions. Secondly we generalize the Bernoulli polynomials and give some expressions of values of zeta and L-functions of root systems in terms of these polynomials. Finally we give some functional relations among them by our previous method. These relations include the known formulas for their special values formulated by Zagier based on Witten’s work. | |||||
| 言語 | en | |||||
| 出版者 | ||||||
| 出版者 | Japan Academy | |||||
| 言語 | en | |||||
| 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 | |||||
| 書誌情報 |
Proceedings of the Japan Academy, Ser. A Mathematical Sciences 巻 84, 号 5, p. 57-62, 発行日 2008 |
|||||
| フォーマット | ||||||
| 値 | application/pdf | |||||
| 著者版フラグ | ||||||
| 値 | publisher | |||||
| URI | ||||||
| 識別子 | http://hdl.handle.net/2237/13843 | |||||
| 識別子タイプ | HDL | |||||
