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arXiv · 1003.5973

The Bowman-Bradley theorem for multiple zeta-star values

Hiroki Kondo·Shingo Saito·Tatsushi Tanaka
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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.

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Hiroki Kondo, Shingo Saito, Tatsushi Tanaka. 2010-03-31. The Bowman-Bradley theorem for multiple zeta-star values. https://doi.org/10.1016/j.jnt.2012.03.012

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