Petrow, I;
Young, MP;
(2019)
A generalized cubic moment and the Petersson formula for newforms.
Mathematische Annalen
, 373
(1-2)
pp. 287-353.
10.1007/s00208-018-1745-1.
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Abstract
Using a cubic moment, we prove a Weyl-type subconvexity bound for the quadratic twists of a holomorphic newform of square-free level, trivial nebentypus, and arbitrary even weight. This generalizes work of Conrey and Iwaniec in that the newform that is being twisted may have arbitrary square-free level, and also that the quadratic character may have even conductor. One of the new tools developed in this paper is a more general Petersson formula for newforms of square-free level.
| Type: | Article |
|---|---|
| Title: | A generalized cubic moment and the Petersson formula for newforms |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1007/s00208-018-1745-1 |
| Publisher version: | https://doi.org/10.11908/10.1007/s00208-018-1745-1 |
| 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/10084823 |
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