Petrow, IN;
(2015)
A twisted Motohashi formula and Weyl-subconvexity for L-functions of weight two cusp forms.
Mathematische Annalen
, 363
(1-2)
pp. 175-216.
10.1007/s00208-014-1166-8.
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Abstract
We derive a Motohashi-type formula for the cubic moment of central values of L -functions of level q cusp forms twisted by quadratic characters of conductor q , previously studied by Conrey and Iwaniec and Young. Corollaries of this formula include Weyl-subconvex bounds for L -functions of weight two cusp forms twisted by quadratic characters, and estimates towards the Ramanujan–Petersson conjecture for Fourier coefficients of weight 3/2 cusp forms.
| Type: | Article |
|---|---|
| Title: | A twisted Motohashi formula and Weyl-subconvexity for L-functions of weight two cusp forms |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1007/s00208-014-1166-8 |
| Publisher version: | https://doi.org/10.1007/s00208-014-1166-8 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10084826 |
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