Nordentoft, AC;
Petridis, YN;
Risager, MS;
(2022)
Bounds on shifted convolution sums for Hecke eigenforms.
Research in Number Theory
, 8
, Article 26. 10.1007/s40993-022-00320-1.
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Abstract
Shifted convolution sums play a prominent rôle in analytic number theory. Here these sums are considered in the context of holomorphic Hecke eigenforms. We investigate pointwise bounds, mean-square bounds consistent with the optimal conjectural bound, and find asymptotics on average for their variance.
| Type: | Article |
|---|---|
| Title: | Bounds on shifted convolution sums for Hecke eigenforms |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1007/s40993-022-00320-1 |
| Publisher version: | https://doi.org/10.1007/s40993-022-00320-1 |
| Language: | English |
| Additional information: | Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/. |
| 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-pp.ucl.ac.uk/id/eprint/10141012 |
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