Preprint: Weil's Converse Theorem for Maass Forms and Cancellation of Zeros

Neururer, M. and Oliver, T. 2018. Preprint: Weil's Converse Theorem for Maass Forms and Cancellation of Zeros. arXiv. https://doi.org/10.48550/arxiv.1809.06586

TitlePreprint: Weil's Converse Theorem for Maass Forms and Cancellation of Zeros
AuthorsNeururer, M. and Oliver, T.
Description

We prove two principal results. Firstly, we characterise Maass forms in terms of functional equations for Dirichlet series twisted by primitive characters. The key point is that the twists are allowed to be meromorphic. This weakened analytic assumption applies in the context of our second theorem, which shows that the quotient of the symmetric square L-function of a Maass newform and the Riemann zeta function has infinitely many poles.

Year2018
Output mediaarXiv preprint
PublisherarXiv
Publication dates
Published18 Sep 2018
ISSN2331-8422
Digital Object Identifier (DOI)https://doi.org/10.48550/arxiv.1809.06586
JournalARXIV

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