The Bowman-Bradley theorem for multiple zeta-star values

Hiroki Kondo, Shingo Saito, Tatsushi Tanaka

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)

Abstract

Text: 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 π. We establish its counterpart for multiple zeta-star values by showing an identity in a non-commutative polynomial algebra introduced by Hoffman. Video: For a video summary of this paper, please click here or visit http://www.youtube.com/watch?v=LpqA2OJ6vP8.

Original languageEnglish
Pages (from-to)1984-2002
Number of pages19
JournalJournal of Number Theory
Volume132
Issue number9
DOIs
Publication statusPublished - Sep 2012

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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