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).
Citation
Nobushige Kurokawa. "The central value of the triple sine function." Kodai Math. J. 32 (1) 159 - 171, March 2009. https://doi.org/10.2996/kmj/1238594553
Information
Published: March 2009
First available in Project Euclid: 1 April 2009
zbMATH: 1191.11024
MathSciNet: MR2518561
Digital Object Identifier: 10.2996/kmj/1238594553
Rights: Copyright © 2009 Tokyo Institute of Technology, Department of Mathematics