Weighted sum formula for multiple harmonic sums modulo primes

Minoru Hirose, Hideki Murahara, Shingo Saito

研究成果: ジャーナルへの寄稿記事

抜粋

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.

元の言語英語
ページ(範囲)3357-3366
ページ数10
ジャーナルProceedings of the American Mathematical Society
147
発行部数8
DOI
出版物ステータス出版済み - 1 1 2019

    フィンガープリント

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

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