Michael Neururer, Thomas Oliver
Published 2018-09-18Version 1
We first prove a new converse theorem for Dirichlet series of Maass type which does not assume an Euler product. The underlying idea is a geometric generalisation of Weil's classical argument. By studying the asymptotics of hypergeometric functions, we then show that the theorem remains valid if we allow twists to have arbitrary poles.
A GL(3) converse theorem via a "beyond endoscopy'' approach
A converse theorem for $Γ_0(13)$
On the distribution of eigenvalues of Maass forms on certain moonshine groups
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