Real zeros and size of Rankin-Selberg L-functions in the level aspect
| dc.creator | Ricotta, Guillaume | |
| dc.date | 2005-02-23 | |
| dc.date.accessioned | 2026-07-07T05:17:23Z | |
| dc.date.available | 2026-07-07T05:17:23Z | |
| dc.description | In this paper, some asymptotic formulas are proved for the harmonic mollified second moment of a family of Rankin-Selberg L-functions. One of the main new input is a substantial improvement of the admissible length of the mollifier which is done by solving a shifted convolution problem by a spectral method on average. A first consequence is a new subconvexity bound for Rankin-Selberg L-functions in the level aspect. Moreover, infinitely many Rankin-Selberg L-functions having at most eight non-trivial real zeros are produced and some new non-trivial estimates for the analytic rank of the family studied are obtained. | |
| dc.identifier | https://arxiv.org/abs/math/0502470 | |
| dc.identifier | http://arxiv.org/abs/math/0502470 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/74282 | |
| dc.subject | Number Theory | |
| dc.subject | 11M41 | |
| dc.title | Real zeros and size of Rankin-Selberg L-functions in the level aspect | |
| dc.type | text |