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| ファイル | 記述 | サイズ | フォーマット | |
|---|---|---|---|---|
| B87-03.pdf | 262.23 kB | Adobe PDF | 見る/開く |
| タイトル: | 多重ゼータ値の関係式と母関数 (可積分系数理の深化と展開) |
| その他のタイトル: | Relations among multiple zeta values and related generating functions (Mathematical structures of integrable systems, its deepening and expansion) |
| 著者: | OHNO, Yasuo |
| 著者名の別形: | 大野, 泰生 |
| キーワード: | 11M32 33C05 33C20 multiple zeta values multiple zeta-star values hypergeometric functions |
| 発行日: | Aug-2021 |
| 出版者: | Research Institute for Mathematical Sciences, Kyoto University |
| 誌名: | 数理解析研究所講究録別冊 |
| 巻: | B87 |
| 開始ページ: | 27 |
| 終了ページ: | 37 |
| 抄録: | Several known families of relations among the multiple zeta values proved by using the generating functions are introduced to focus on the connection between the generating functions of relations among multiple zeta values and the hypergeometric functions. The infinite product expansion of the sine function and the gamma function representation of the Aomoto-Drinfel'd generating function are appeared in two of such results. It is also pointed out that the restricted sum formula due to Eie-Liaw-Ong in 2009 is able to obtain as a simple rewrite of a formula which had been proved by the author in 1999. |
| 記述: | Mathematical structures of integrable systems, its deepening and expansion. September 9-11, 2019. edited by Takao Suzuki. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed. |
| 著作権等: | © 2021 by the Research Institute for Mathematical Sciences, an International Joint Usage/Research Center located in Kyoto University. All rights reserved. |
| URI: | http://hdl.handle.net/2433/265826 |
| 出現コレクション: | B87 Mathematical structures of integrable systems, its deepening and expansion |
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