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Simultaneous nonvanishing of automorphic L-functions

Authors
Journal
Journal of Number Theory
0022-314X
Publisher
Elsevier
Identifiers
DOI: 10.1016/j.jnt.2014.08.005
Keywords
  • Nonvanishing
  • L-Functions

Abstract

Abstract Let π be a unitary cuspidal automorphic representation of GL2(AQ). We show that there are infinitely many primitive Dirichlet characters χ(modq) such thatL(12,π×χ)L(12,χ)≠0.

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