The Bowman-Bradley theorem for multiple zeta-star values

Details The Bowman-Bradley theorem for multiple zeta-star values The Bowman-Bradley theorem for multiple zeta-star values

2010-03-31

arxiv.org/abs/1003.5973v1

Mathematics

Number Theory

17 pages

Scientific paper

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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