Interpolation of multiple zeta and zeta-star values

Shuji Yamamoto

Research output: Contribution to journalArticlepeer-review

30 Citations (Scopus)


We define polynomials of one variable t whose values at t = 0 and 1 are the multiple zeta values and the multiple zeta-star values, respectively. We give an application to the two-one conjecture of Ohno-Zudilin, and also prove the sum formula and the cyclic sum formula for these polynomials.

Original languageEnglish
Pages (from-to)102-114
Number of pages13
JournalJournal of Algebra
Publication statusPublished - 2013 Jul 1
Externally publishedYes


  • Cyclic sum formula
  • Multiple zeta values
  • Multiple zeta-star values
  • Sum formula
  • Two-one conjecture

ASJC Scopus subject areas

  • Algebra and Number Theory


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