On some multiple zeta-star values of one-two-three indices
Number Theory
2014-06-06 v1
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 \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.
Keywords
Cite
@article{arxiv.1203.1115,
title = {On some multiple zeta-star values of one-two-three indices},
author = {Koji Tasaka and Shuji Yamamoto},
journal= {arXiv preprint arXiv:1203.1115},
year = {2014}
}
Comments
12 pages