Double Lerch Value Relations and Functional Relations for Witten Zeta Functions

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13 Citations (Scopus)

Abstract

In this paper, we obtain functional relations for Witten zeta functions by using relations of double Lerch values. By these functional relations, we obtain new proofs of known results on the Tornheim double zeta values, the Euler-Zagier double zeta values, and their alternating and character analogues.

Original languageEnglish
Pages (from-to)551-574
Number of pages24
JournalTokyo Journal of Mathematics
Volume31
Issue number2
DOIs
Publication statusPublished - 1 Jan 2008

Keywords

  • Double zeta
  • Functional relation
  • L and Lerch values
  • Witten zeta function

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