Bowman-Bradley type theorem for finite multiple zeta values

Shingo Saito, Noriko Wakabayashi

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2 Citations (Scopus)

Abstract

The multiple zeta values are multivariate generalizations of the values of the Riemann zeta function at positive integers. 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 show that an analogous theorem holds in a very strong sense for finite multiple zeta values, which have been investigated by Hoffman and Zhao among others and recently recast by Zagier.

Original languageEnglish
Pages (from-to)241-251
Number of pages11
JournalTohoku Mathematical Journal
Volume68
Issue number2
DOIs
Publication statusPublished - Jan 1 2016

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All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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