Abstract
We study a period defined for three automorphic functions on GL(2). We give a lower bound on the average size of such a period which is essentially sharp. We deduce from this bound a non-vanishing result for this period. As an application we obtain non-vanishing of certain L-functions at 1/2.
| Original language | English |
|---|---|
| Pages (from-to) | 485-493 |
| Number of pages | 9 |
| Journal | Forum Mathematicum |
| Volume | 13 |
| Issue number | 4 |
| DOIs | |
| State | Published - 2001 |
| Externally published | Yes |
Bibliographical note
Funding Information:This work was supported in part by BSF grant No. 94-00312/2 and by the ECTMR network ``Algebraic Lie Representations'' – ERB FMRX-CT97-0100.
Funding
This work was supported in part by BSF grant No. 94-00312/2 and by the ECTMR network ``Algebraic Lie Representations'' – ERB FMRX-CT97-0100.
| Funders | Funder number |
|---|---|
| United States-Israel Binational Science Foundation | ERB FMRX-CT97-0100, 94-00312/2 |