Leonhard Hochfilzer, Thomas Oliver
Published 2019-10-07Version 1
We show that certain quotients of Artin L-functions have infinitely many poles. Our result follows from a converse theorem for Maass forms of Laplace eigenvalue 1/4 in which the twisted L-functions are not assumed to be entire. We do not need the automorphy of Artin L-functions, only their meromorphic continuation.
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A converse theorem for $Γ_0(13)$
Two converse theorems for Maass forms
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