Multiple Lerch zeta functions and an idea of Ramanujan

Abstract

In this article, we derive meromorphic continuation of multiple Lerch zeta functions by generalising an elegant identity of Ramanujan. Further, we describe the set of all possible singularities of these functions. Finally, for the multiple Hurwitz zeta functions, we list the exact set of singularities.

arXiv commentA few changes in the introduction. To appear in Michigan Mathematical Journal

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