On functional equations of finite multiple polylogarithms

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• 作者：Kenji Sakugawa up>k-sakugawa@cr.math.sci.osaka-u.ac.jp" class="auth_mail" title="E-mail the corresponding authorup> ; Shin-ichiro Sekiup> ; up>up>shinchan.prime@gmail.com" class="auth_mail" title="E-mail the corresponding authorup>
• 关键词：11M32 ; 11B68
• 刊名：Journal of Algebra
• 出版年：2017
• 出版时间：1 January 2017
• 年：2017
• 卷：469
• 期：Complete
• 页码：323-357
• 全文大小：576 K

文摘

Recently, several people study finite multiple zeta values (FMZVs) and finite polylogarithms (FPs). In this paper, we introduce finite multiple polylogarithms (FMPs), which are natural generalizations of FMZVs and FPs, and we establish functional equations of FMPs. As applications of these functional equations, we calculate special values of FMPs containing generalizations of congruences obtained by Meštrović, Z.W. Sun, L.L. Zhao, Tauraso, and J. Zhao.