The central value of the Rankin-Selberg $L$-functions
| dc.creator | Li, Xiaoqing | |
| dc.date | 2008-11-29 | |
| dc.date.accessioned | 2026-07-07T12:08:05Z | |
| dc.date.available | 2026-07-07T12:08:05Z | |
| dc.description | Let $f$ be a Maass form for $SL(3, \mathbb{Z})$ which is fixed and $u_j$ be an orthonormal basis of even Maass forms for $SL(2, \mathbb{Z}),$ we prove an asymptotic formula for the average of the product of the Rankin-Selberg $L$-function of $f$ and $u_j$ and the $L$-function of $u_j$ at the central value 1/2. This implies simultaneous nonvanishing results of these $L$-functions at $1/2.$ | |
| dc.identifier | https://arxiv.org/abs/0812.0035 | |
| dc.identifier | http://arxiv.org/abs/0812.0035 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/209195 | |
| dc.subject | Number Theory | |
| dc.title | The central value of the Rankin-Selberg $L$-functions | |
| dc.type | text |