On The Meromorphic Continuation Of The Multiple Lerch Zeta Functions And An Idea Of Ramanujan

Gun, Sanoli ; Saha, Biswajyoti (2015) On The Meromorphic Continuation Of The Multiple Lerch Zeta Functions And An Idea Of Ramanujan arXiv preprint arXiv:1510.05835 .

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Official URL: http://de.arxiv.org/abs/1510.05835v1

Abstract

In this note, we obtain the meromorphic continuation of the multiple Lerch zeta functions. We also determine the location of their polar hyperplanes. An idea of Ramanujan and its subsequent generalisation by Ecalle constitutes the nucleus of this work.

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Deposited On:11 May 2021 11:24
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