On the sum formula for the q-analogue of non-strict multiple zeta values

Yasuo Ohno, Jun Ichi Okuda

Research output: Contribution to journalArticlepeer-review

21 Citations (Scopus)

Abstract

In this article, the q-analogues of the linear relations of non-strict multiple zeta values called "the sum formula" and "the cyclic sum formula" are established.

Original languageEnglish
Pages (from-to)3029-3037
Number of pages9
JournalProceedings of the American Mathematical Society
Volume135
Issue number10
DOIs
Publication statusPublished - 2007 Oct
Externally publishedYes

Keywords

  • Basic hypergeometric function
  • Multiple zeta star values
  • Multiple zeta values
  • Non-strict multiple zeta values
  • Q-analogue
  • Q-series
  • Sum formula

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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