Dualities for absolute zeta functions and multiple gamma functions

Nobushige Kurokawa, Hiroyuki Ochiai

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

We study absolute zeta functions from the view point of a canonical normalization. We introduce the absolute Hurwitz zeta function for the normalization. In particular, we show that the theory of multiple gamma and sine functions gives good normalizations in cases related to the Kurokawa tensor product. In these cases, the functional equation of the absolute zeta function turns out to be equivalent to the simplicity of the associated non-classical multiple sine function of negative degree.

Original languageEnglish
Pages (from-to)75-79
Number of pages5
JournalProceedings of the Japan Academy Series A: Mathematical Sciences
Volume89
Issue number7
DOIs
Publication statusPublished - Jul 1 2013

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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