%0 Journal Article %T The Bowman-Bradley theorem for multiple zeta-star values %A Hiroki Kondo %A Shingo Saito %A Tatsushi Tanaka %J Mathematics %D 2010 %I arXiv %R 10.1016/j.jnt.2012.03.012 %X 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. %U http://arxiv.org/abs/1003.5973v1