The Bowman-Bradley theorem for multiple zeta-star values

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.

17 pages

References in corpus (1)

• On some combinations of multiple zeta-star values

Cited by in corpus (5)

• Identity Families of Multiple Harmonic Sums and Multiple Zeta (Star) Values
• On some combinations of multiple zeta-star values
• Explicit evaluation of certain sums of multiple zeta-star values
• Bowman-Bradley type theorem for finite multiple zeta values
• Bowman-Bradley type theorem for finite multiple zeta values in ${\mathcal{A}}_2$