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arXiv · 1203.1115

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

Koji Tasaka·Shuji Yamamoto
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Abstract

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.

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Koji Tasaka, Shuji Yamamoto. 2012-03-06. On some multiple zeta-star values of one-two-three indices. https://doi.org/10.1142/s1793042113500188

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