The Bowman-Bradley theorem for multiple zeta-star values
Number Theory
2012-11-09 v1 Combinatorics
Abstract
The Bowman-Bradley theorem asserts that the multiple zeta values at the sequences obtained by inserting a fixed number of twos between 3,1,...,3,1 add up to a rational multiple of a power of pi. We establish its counterpart for multiple zeta-star values by showing an identity in a non-commutative polynomial algebra introduced by Hoffman.
Cite
@article{arxiv.1003.5973,
title = {The Bowman-Bradley theorem for multiple zeta-star values},
author = {Hiroki Kondo and Shingo Saito and Tatsushi Tanaka},
journal= {arXiv preprint arXiv:1003.5973},
year = {2012}
}
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17 pages