Finite multiple zeta values associated with 2-colored rooted trees

研究成果: Article査読

4 被引用数 (Scopus)

抄録

We define finite multiple zeta values (FMZVs) associated with some combinatorial objects, which we call 2-colored rooted trees, and prove that FMZVs associated with 2-colored rooted trees satisfying certain mild assumptions can be written explicitly as Z-linear combinations of the usual FMZVs. Our result can be regarded as a generalization of Kamano's recent work on finite Mordell–Tornheim multiple zeta values. As an application, we will give a new proof of the shuffle relation of FMZVs, which was first proved by Kaneko and Zagier.

本文言語English
ページ(範囲)99-116
ページ数18
ジャーナルJournal of Number Theory
181
DOI
出版ステータスPublished - 2017 12月
外部発表はい

ASJC Scopus subject areas

  • 代数と数論

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