Zeta stars

Yasuo Ohno, Wadim Zudilin

Research output: Contribution to journalArticle

47 Citations (Scopus)

Abstract

We present two new families of identities for the multiple zeta (star) values: The first one generalizes the formula ζ*({2}n, 1) = 2ζ(2n + 1), where {2}n denotes the n-tuple (2, 2,..., 2), while the second family is a weighted analogue of Euler's formula Σl=2n-1 ζ(l, n - l) = ζ(n) (n ≥ 3).

Original languageEnglish
Pages (from-to)325-347
Number of pages23
JournalCommunications in Number Theory and Physics
Volume2
Issue number2
DOIs
Publication statusPublished - 2008 Jun
Externally publishedYes

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Mathematical Physics
  • Physics and Astronomy(all)

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