Multiple Lerch Zeta Functions and an Idea of Ramanujan

Gun, Sanoli ; Saha, Biswajyoti (2018) Multiple Lerch Zeta Functions and an Idea of Ramanujan Michigan Mathematical Journal, 67 (2). pp. 267-287. ISSN 0026-2285

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Official URL: http://doi.org/10.1307/mmj/1516330974

Related URL: http://dx.doi.org/10.1307/mmj/1516330974

Abstract

In this article, we derive meromorphic continuation of multiple Lerch zeta functions by generalizing 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.

Item Type:Article
Source:Copyright of this article belongs to The University of Michigan.
ID Code:118019
Deposited On:11 May 2021 06:36
Last Modified:11 May 2021 06:36

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