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

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

2012-03-06

arxiv.org/abs/1203.1115v1

Mathematics

Number Theory

12 pages

Scientific paper

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 \zeta(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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