The Bowman-Bradley theorem for multiple zeta-star values

Hiroki Kondo, Shingo Saito, Tatsushi Tanaka

Published 2010-03-31Version 1

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.