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タイトル: | Shuffle-type product formulae of desingularized values of multiple zeta-functions (Algebraic Number Theory and Related Topics 2017) |
著者: | Komiyama, Nao |
著者名の別形: | 小見山, 尚 |
キーワード: | 11M32 multiple zeta-function desingularization |
発行日: | Oct-2020 |
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: | B83 |
開始ページ: | 83 |
終了ページ: | 104 |
抄録: | It is known that there are infinitely many singularities of multiple zeta functions and the special values at non-positive integer points are indeterminate. In order to give a suitable rigorous meaning of the special values there, Furusho, Komori, Matsumoto and Tsumura introduced desingularized values by using their desingularization method to resolve all singularities. On the other hand, Ebrahimi-Fard, Manchon and Singer introduced renormalized values by the renormalization method á la Connes and Kreimer and they showed that the values fulfill the shuffle-type product formula. In this paper, we show the shuffle-type product formulae for desingularized values. |
記述: | Algebraic Number Theory and Related Topics 2017. December 4-8, 2017. edited by Hiroshi Tsunogai, Takao Yamazaki and Yasushi Mizusawa. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed. |
著作権等: | © 2020 by the Research Institute for Mathematical Sciences, Kyoto University. All rights reserved. |
URI: | http://hdl.handle.net/2433/260690 |
出現コレクション: | B83 Algebraic Number Theory and Related Topics 2017 |
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