Kodai Mathematical Journal

Zeta functions and normalized multiple sine functions

Shin-ya Koyama and Nobushige Kurokawa

Full-text: Open access

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.

Article information

Source
Kodai Math. J., Volume 28, Number 3 (2005), 534-550.

Dates
First available in Project Euclid: 12 December 2005

Permanent link to this document
https://projecteuclid.org/euclid.kmj/1134397767

Digital Object Identifier
doi:10.2996/kmj/1134397767

Mathematical Reviews number (MathSciNet)
MR2194544

Zentralblatt MATH identifier
1091.11030

Citation

Koyama, Shin-ya; Kurokawa, Nobushige. Zeta functions and normalized multiple sine functions. Kodai Math. J. 28 (2005), no. 3, 534--550. doi:10.2996/kmj/1134397767. https://projecteuclid.org/euclid.kmj/1134397767


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