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SPECIAL VALUES OF MULTIPLE SINE FUNCTIONS

Authors :
Tanaka, Hidekazu
Source :
Kyushu Journal of Mathematics. 62(1):123-137
Publication Year :
2008
Publisher :
Faculty of Mathematics, Kyushu University, 2008.

Abstract

We investigate values of the multiple sine function of period $ (1, ldots ,1) $ at rational numbers. We show explicit formulas using special values of Dirichlet $ L $-functions. We also study the case of the multiple gamma function

Subjects

Subjects :
Dirichlet $ L $-function
multiple gamma function
Stirling number
multiple sine function

Details

Language :
English
ISSN :
13406116
Volume :
62
Issue :
1
Database :
OpenAIRE
Journal :
Kyushu Journal of Mathematics
Accession number :
edsair.jairo.........0c8f502db4545c6553ca871e6e626913

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