Tokyo Journal of Mathematics

The Multiple Hurwitz Zeta Function and a Generalization of Lerch's Formula

Ken Kamano

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Abstract

We investigate the multiple Hurwitz zeta function $\zeta_n(s_1, \ldots, s_n;a)$, in particular those values at non-positive integers. Then, as an application, we give a generalization of Lerch's formula.

Article information

Source
Tokyo J. of Math. Volume 29, Number 1 (2006), 61-73.

Dates
First available in Project Euclid: 20 December 2006

Permanent link to this document
https://projecteuclid.org/euclid.tjm/1166661867

Digital Object Identifier
doi:10.3836/tjm/1166661867

Mathematical Reviews number (MathSciNet)
MR2258272

Zentralblatt MATH identifier
1103.11026

Citation

Kamano, Ken. The Multiple Hurwitz Zeta Function and a Generalization of Lerch's Formula. Tokyo J. of Math. 29 (2006), no. 1, 61--73. doi:10.3836/tjm/1166661867. https://projecteuclid.org/euclid.tjm/1166661867.


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