Petrow, I;
Young, MP;
(2020)
The Weyl bound for Dirichlet L-functions of cube-free conductor.
Annals of Mathematics
, 192
(2)
pp. 437-486.
10.4007/annals.2020.192.2.3.
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Abstract
We prove a Weyl-exponent subconvex bound for any Dirichlet L-function of cube-free conductor. We also show a bound of the same strength for certain L-functions of self-dual GL2 automorphic forms that arise as twists of forms of smaller conductor.
| Type: | Article |
|---|---|
| Title: | The Weyl bound for Dirichlet L-functions of cube-free conductor |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.4007/annals.2020.192.2.3 |
| Publisher version: | https://doi.org/10.4007/annals.2020.192.2.3 |
| 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. |
| Keywords: | L-functions, subconvexity, moments, Kuznetsov formula, l-adic trace functions |
| 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/10101145 |
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