Petrow, Ian;
Young, Matthew P;
(2023)
The fourth moment of Dirichlet L-functions along a coset and the Weyl bound.
Duke Mathematical Journal
, 172
(10)
pp. 1879-1960.
10.1215/00127094-2022-0069.
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Abstract
We prove a Lindelöf-on-average upper bound for the fourth moment of Dirichlet L-functions of conductor q along a coset of the subgroup of characters modulo d when q ∗ ∣ d , where q ∗ is the least positive integer such that q 2 ∣ ( q ∗ ) 3 . As a consequence, we finish the previous work of the authors and establish a Weyl-strength subconvex bound for all Dirichlet L-functions with no restrictions on the conductor.
| Type: | Article |
|---|---|
| Title: | The fourth moment of Dirichlet L-functions along a coset and the Weyl bound |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1215/00127094-2022-0069 |
| Publisher version: | http://doi.org/10.1215/00127094-2022-0069 |
| 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: | character sums, Dirichlet L-functions, moments of L-functions, subconvexity |
| UCL classification: | 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 UCL > Provost and Vice Provost Offices > UCL BEAMS UCL |
| URI: | https://discovery-pp.ucl.ac.uk/id/eprint/10158522 |
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