Journal of the Ramanujan Mathematical Society
Volume 30, Issue 3, September 2015 pp. 237–250.
Simultaneous nonvanishing of Dirichlet L-functions and twists of Hecke-Maass L-functions
Authors:
Soumya Das and Rizwanur Khan
Author institution:Department of Mathematics, Indian Institute of Science, Bangalore, India
Summary:
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 χ of conductor q such that the L-values
L(1/2, f ⊗ χ) and L(1/2, χ) do not vanish.
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