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