Analytic continuation of multiple Hurwitz zeta functions

Jay Mehta; G. K. Viswanadham

doi:10.2969/jmsj/06941431

Journal of the Mathematical Society of Japan

Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645

Analytic continuation of multiple Hurwitz zeta functions

Jay Mehta, G. K. Viswanadham

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Keywords: multiple Hurwitz zeta functions, analytic continuation

JOURNAL FREE ACCESS

2017 Volume 69 Issue 4 Pages 1431-1442

DOI https://doi.org/10.2969/jmsj/06941431

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Abstract

We obtain the analytic continuation of multiple Hurwitz zeta functions by using a simple and elementary translation formula. We also locate the polar hyperplanes for these functions and express the residues, along these hyperplanes, as coefficients of certain infinite matrices.

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