Gamma and sine functions for Lie groups and period integrals

Nobushige Kurokawa, Masato Wakayama

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

We study gamma and sine functions attached to a finite dimensional linear representation of a Lie group including their multiple versions via zeta regularizations. These definitions allow us to understand several multiple gamma and sine functions known so far, such as Barnes' gamma functions, Shintani's sine functions, and their q-analogues, in a unified way. Further, we discuss period integrals for such gamma functions.

Original languageEnglish
Pages (from-to)585-607
Number of pages23
JournalIndagationes Mathematicae
Volume16
Issue number3-4
DOIs
Publication statusPublished - Dec 19 2005

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Gamma function
Multiple Sine Function
Multiple gamma Function
Linear Representation
Q-analogue
Regularization

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Gamma and sine functions for Lie groups and period integrals. / Kurokawa, Nobushige; Wakayama, Masato.

In: Indagationes Mathematicae, Vol. 16, No. 3-4, 19.12.2005, p. 585-607.

Research output: Contribution to journalArticle

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