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Weil's converse theorem for Maass forms and cancellation of zeros
- Source :
- Acta Arithmetica 196 (2020) 387-422
- Publication Year :
- 2018
-
Abstract
- 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.<br />Comment: Updated introduction
- Subjects :
- Mathematics - Number Theory
Subjects
Details
- Database :
- arXiv
- Journal :
- Acta Arithmetica 196 (2020) 387-422
- Publication Type :
- Report
- Accession number :
- edsarx.1809.06586
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.4064/aa190811-3-2