The Subconvexity Bounds for L-Functions
| JOINT PU/IAS NUMBER THEORY SEMINAR | |
| Topic: | The Subconvexity Bounds for L-Functions |
| Speaker: | Xiaoqing Li |
| Affiliation: | SUNY, Buffalo |
| Date: | Thursday, February 7 |
| Time/Room: | 4:30pm - 5:30pm/Fine Hall -- 214 |
For a general L-function, the bound on its critical line obtained by applying the Phragmen-Lindeloff interpolation method is called the convexity bound. Any bounds with a power saving of the convexitybound are called subconvexity bounds. In this talk we will give the first subconvexity bounds for GL(3) L-functions as well as for GL(3) x GL(2) L-functions. Our methods also recover the subconvexity bounds for GL(2) L-functions in the eigenvalue aspect.