On some multiple zeta-star values of one-two-three indices

Koji Tasaka, Shuji Yamamoto

研究成果: Article査読

6 被引用数 (Scopus)

抄録

In this paper, we present some identities for multiple zeta-star values with indices obtained by inserting 3 or 1 into the string 2,.., 2. Our identities give analogues of Zagier's evaluation of ζ(2,.., 2, 3, 2,.., 2) and examples of a kind of duality of multiple zeta-star values. Moreover, their generalizations give partial solutions of conjectures proposed by Imatomi, Tanaka, Wakabayashi and the first author.

本文言語English
ページ(範囲)1171-1184
ページ数14
ジャーナルInternational Journal of Number Theory
9
5
DOI
出版ステータスPublished - 2013 8

ASJC Scopus subject areas

  • 代数と数論

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