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Analytic continuation of multiple Hurwitz zeta functions

Published online by Cambridge University Press:  01 November 2008

JAMES P. KELLIHER  and
RIAD MASRI
JAMES P. KELLIHER
Affiliation:
Brown University, Department of Mathematics, 151 Thayer Street, Providence, RI 02912, U.S.A. e-mail: kelliher@math.brown.edu
RIAD MASRI
Affiliation:
I. H. É. S., Le Bois-Marie, 35, Route De Chartres F-91440, Bures-Sur-Yvette, France. e-mail: masri@ihes.fr
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Abstract

We use a variant of a method of Goncharov, Kontsevich and Zhao [5, 16] to meromorphically continue the multiple Hurwitz zeta function to , to locate the hyperplanes containing its possible poles and to compute the residues at the poles. We explain how to use the residues to locate trivial zeros of .

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 145 , Issue 3 , November 2008 , pp. 605 - 617
Copyright
Copyright © Cambridge Philosophical Society 2008

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References

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