Shuffle product of finite multiple polylogarithms

Masataka Ono, Shuji Yamamoto

研究成果: Article査読

3 被引用数 (Scopus)

抄録

In this paper, we define a finite sum analogue of multiple polylogarithms inspired by the work of Kaneko and Zagier (in the article “Finite multiple zeta values” in preparation) and prove that they satisfy a certain analogue of the shuffle relation. Our result is obtained by using a certain partial fraction decomposition which is an idea due to Komori et al. (Math Z 268:993–1011, 2011). As a corollary, we give an algebraic interpretation of our shuffle product.

本文言語English
ページ(範囲)153-166
ページ数14
ジャーナルManuscripta Mathematica
152
1-2
DOI
出版ステータスPublished - 2017 1月 1

ASJC Scopus subject areas

  • 数学一般

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