Freitag, E;
Hill, RM;
(2023)
Modular forms on SU(2,1) with weight 1/3.
Research in Number Theory
, 9
(2)
, Article 26. 10.1007/s40993-022-00361-6.
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Abstract
In this note, we describe several new examples of holomorphic modular forms on the group SU(2,1). These forms are distinguished by having weight 13. We also describe a method for determining the levels at which one should expect to find such fractional weight forms.
| Type: | Article |
|---|---|
| Title: | Modular forms on SU(2,1) with weight 1/3 |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1007/s40993-022-00361-6 |
| Publisher version: | https://doi.org/10.1007/s40993-022-00361-6 |
| Language: | English |
| Additional information: | © 2023 Springer Nature Switzerland AG. This article is licensed under a Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/). |
| Keywords: | Fractional weight modular forms, Picard modular forms, Presentations of arithmetic groups, Borcherds products |
| 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/10168629 |
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