Analogues of the Bol operator for half-integral weight weakly holomorphic modular forms

Diamantis, Nikolaos; Lee, Min; Rolen, Larry

Abstract

We define an analogue of the Bol operator on spaces of weakly holomorphic modular forms of half-integral weight. We establish its main properties and relation with other objects.

Citation

Diamantis, N., Lee, M., & Rolen, L. (2023). Analogues of the Bol operator for half-integral weight weakly holomorphic modular forms. Proceedings of the American Mathematical Society, 152, 37-51. https://doi.org/10.1090/proc/16435

• Journal Article Type: Article
• Acceptance Date: Feb 2, 2023
• Online Publication Date: Oct 24, 2023
• Publication Date: Oct 24, 2023
• Deposit Date: Mar 27, 2023
• Publicly Available Date: Oct 24, 2023
• Journal: Proceedings of the American Mathematical Society
• Print ISSN: 0002-9939
• Electronic ISSN: 1088-6826
• Publisher: American Mathematical Society
• Peer Reviewed: Peer Reviewed
• Volume: 152
• Pages: 37-51
• DOI: https://doi.org/10.1090/proc/16435
• Keywords: Applied Mathematics; General Mathematics
• Public URL: https://nottingham-repository.worktribe.com/output/18995912
• Publisher URL: https://www.ams.org/journals/proc/2024-152-01/S0002-9939-2023-16435-7/home.html