Journal of the Ramanujan Mathematical Society

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Simultaneous Nonvanishing of Dirichlet L-Functions and Twists of Hecke-Maass L-Functions


Affiliations
1 Department of Mathematics, Indian Institute of Science, Bangalore, India
2 Science Program, Texas A&M University, Doha, Qatar
     

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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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  • Simultaneous Nonvanishing of Dirichlet L-Functions and Twists of Hecke-Maass L-Functions

Abstract Views: 226  |  PDF Views: 0

Authors

Soumya Das
Department of Mathematics, Indian Institute of Science, Bangalore, India
Rizwanur Khan
Science Program, Texas A&M University, Doha, Qatar

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 χ of conductor q such that the L-values L(1/2, f ⊗ χ) and L(1/2, χ) do not vanish.