Simultaneous nonvanishing of Dirichlet L-functions and twists of Hecke-Maass L-functions

Das, Soumya and Khan, Rizwanur (2015) Simultaneous nonvanishing of Dirichlet L-functions and twists of Hecke-Maass L-functions. In: JOURNAL OF THE RAMANUJAN MATHEMATICAL SOCIETY, 30 (3). pp. 237-250.

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Abstract

We prove that given a Hecke-Maass form f for SL(2, Z) and a sufficiently large prime q, there exists a primitive Dirichlet character chi of conductor q such that the L-values L(1/2, f circle times chi) and L(1/2, chi) do not vanish.

Item Type:	Journal Article
Publication:	JOURNAL OF THE RAMANUJAN MATHEMATICAL SOCIETY
Publisher:	RAMANUJAN MATHEMATICAL SOC
Additional Information:	Copy right for this article belongs to the RAMANUJAN MATHEMATICAL SOC, C/O MNG ED, UNIV MYSORE, DEPT MATHEMATICS, MYSORE, 570 006, INDIA
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	30 Oct 2015 07:25
Last Modified:	30 Oct 2015 07:25
URI:	http://eprints.iisc.ac.in/id/eprint/52609

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