A sum formula of multiple L-values

Shuji Yamamoto

Research output: Contribution to journalArticle

Abstract

We prove an alternating sum formula of certain multiple L-values conjectured by Essouabri, Matsumoto and Tsumura, which generalizes the sum formula of multiple zeta values. The proof relies on the method of partial fraction decomposition.

Original languageEnglish
Pages (from-to)127-137
Number of pages11
JournalInternational Journal of Number Theory
Volume11
Issue number1
DOIs
Publication statusPublished - 2015 Feb 25

Keywords

  • Multiple L-values
  • Multiple polylogarithms
  • Multiple zeta values

ASJC Scopus subject areas

  • Algebra and Number Theory

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