Weighted sum formula for multiple harmonic sums modulo primes

Minoru Hirose, Hideki Murahara, Shingo Saito

Research output: Contribution to journalArticle

Abstract

In this paper we prove a weighted sum formula for multiple harmonic sums modulo primes, thereby proving a weighted sum formula for finite multiple zeta values. Our proof utilizes difference equations for the generating series of multiple harmonic sums. We also conjecture several weighted sum formulas of similar flavor for finite multiple zeta values.

Original languageEnglish
Pages (from-to)3357-3366
Number of pages10
JournalProceedings of the American Mathematical Society
Volume147
Issue number8
DOIs
Publication statusPublished - Jan 1 2019

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All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

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