| IAS/PU NUMBER THEORY | |
| Topic: | Rankin-Selberg Without Unfolding and Gelfand Pairs |
| Speaker: | A. Reznikov |
| Affiliation: | Bar Ilan University |
| Date: | Thursday, February 8 |
| Time/Room: | 4:30pm - 5:30pm/Fine Hall 322, Princeton University |
I describe a new simple way to obtain Rankin-Selberg type spectral identities. These include the classical Rankin-Selberg identity, the Motohashi identity for the forth moment of the zeta function and many new identities between various L-functions. I discuss an analytic application of some of these identities towards nontrivial bounds for various Fourier coefficients of cusp forms.
(Joint work with J. Bernstein.)