Journal article
Weil's converse theorem for Maass forms and cancellation of zeros
- 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.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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Authors
Bibliographic Details
- Publisher:
- Polskiej Akademii Nauk, Instytut Matematyczny Publisher's website
- Journal:
- Acta Arithmetica Journal website
- Volume:
- 196
- Issue:
- 4
- Pages:
- 387-422
- Publication date:
- 2020-07-11
- Acceptance date:
- 2020-01-31
- DOI:
- EISSN:
-
1730-6264
- ISSN:
-
0065-1036
Item Description
- Keywords:
- Pubs id:
-
1084456
- Local pid:
- pubs:1084456
- Deposit date:
- 2020-02-03
Terms of use
- Copyright holder:
- Polskiej Akademii Nauk, Instytut Matematyczny
- Copyright date:
- 2020
- Rights statement:
- Copyright 2020 Polskiej Akademii Nauk, Instytut Matematyczny
- Notes:
-
This is the accepted manuscript version of the article. The final version is available from Polskiej Akademii Nauk, Instytut Matematyczny at https://doi.org/10.4064/aa190811-3-2
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