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Special values of multiple sine function

Authors :
Hidekazu Tanaka
Source :
Kyushu J. Math.. 62(No. 1):123-137
Publication Year :
2008

Abstract

We investigate values of the multiple sine function of period (1,...,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 :
Error function
symbols.namesake
General Mathematics
Mathematical analysis
Dirichlet L-function
symbols
Trigonometric number
Sine
Multiple gamma function
Rectangular function
Dirichlet series
Mathematics
Riemann zeta function

Details

Language :
English
Volume :
62
Issue :
No. 1
Database :
OpenAIRE
Journal :
Kyushu J. Math.
Accession number :
edsair.doi.dedup.....b20459d3024537f6c4bf1277afb8615d

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