Explicit evaluation of certain sums of multiple zeta-star values
Number Theory
2012-03-07 v1
Abstract
Bowman and Bradley proved an explicit formula for the sum of multiple zeta values whose indices are the sequence (3,1,3,1,...,3,1) with a number of 2's inserted. Kondo, Saito and Tanaka considered the similar sum of multiple zeta-star values and showed that this value is a rational multiple of a power of \pi. In this paper, we give an explicit formula for the rational part. In addition, we interpret the result as an identity in the harmonic algebra.
Keywords
Cite
@article{arxiv.1203.1111,
title = {Explicit evaluation of certain sums of multiple zeta-star values},
author = {Shuji Yamamoto},
journal= {arXiv preprint arXiv:1203.1111},
year = {2012}
}
Comments
6 pages