Open Access
October 2005 Zeta functions and normalized multiple sine functions
Shin-ya Koyama, Nobushige Kurokawa
Kodai Math. J. 28(3): 534-550 (October 2005). DOI: 10.2996/kmj/1134397767

Abstract

By using normalized multiple sine functions we show expressions for special values of zeta functions and L-functions containing ζ(3), ζ(5), etc. Our result reveals the importance of division values of normalized multiple sine functions. Properties of multiple Hurwitz zeta functions are crucial for the proof.

Citation

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Shin-ya Koyama. Nobushige Kurokawa. "Zeta functions and normalized multiple sine functions." Kodai Math. J. 28 (3) 534 - 550, October 2005. https://doi.org/10.2996/kmj/1134397767

Information

Published: October 2005
First available in Project Euclid: 12 December 2005

zbMATH: 1091.11030
MathSciNet: MR2194544
Digital Object Identifier: 10.2996/kmj/1134397767

Rights: Copyright © 2005 Tokyo Institute of Technology, Department of Mathematics

Vol.28 • No. 3 • October 2005
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