Kodai Mathematical Journal

The central value of the triple sine function

Nobushige Kurokawa

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Abstract

We study the central value of the triple sine function for a general period. We give an explicit integral expression and an inequality. As an application we obtain an expression for ζ(3).

Article information

Source
Kodai Math. J., Volume 32, Number 1 (2009), 159-171.

Dates
First available in Project Euclid: 1 April 2009

Permanent link to this document
https://projecteuclid.org/euclid.kmj/1238594553

Digital Object Identifier
doi:10.2996/kmj/1238594553

Mathematical Reviews number (MathSciNet)
MR2518561

Zentralblatt MATH identifier
1191.11024

Citation

Kurokawa, Nobushige. The central value of the triple sine function. Kodai Math. J. 32 (2009), no. 1, 159--171. doi:10.2996/kmj/1238594553. https://projecteuclid.org/euclid.kmj/1238594553


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