Analogues of the Bol operator for half-integral weight weakly holomorphic modular forms
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- by Nikolaos Diamantis, Min Lee and Larry Rolen;
- Proc. Amer. Math. Soc. 152 (2024), 37-51
- DOI: https://doi.org/10.1090/proc/16435
- Published electronically: October 24, 2023
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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.References
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Bibliographic Information
- Nikolaos Diamantis
- Affiliation: School of Mathematical Sciences, University of Nottingham, University Park, Nottingham. NG7 2RD, United Kingdom
- MR Author ID: 646563
- ORCID: 0000-0002-3670-278X
- Email: nikolaos.diamantis@nottingham.ac.uk
- Min Lee
- Affiliation: School of Mathematics, University of Bristol, Fry Building, Woodland Road, BS8 1UG, United Kingdom
- Email: min.lee@bristol.ac.uk
- Larry Rolen
- Affiliation: Department of Mathematics, 1420 Stevenson Center, Vanderbilt University, Nashville, Tennessee 37240
- MR Author ID: 923990
- ORCID: 0000-0001-8671-8117
- Email: larry.rolen@vanderbilt.edu
- Received by editor(s): July 24, 2022
- Received by editor(s) in revised form: November 17, 2022, and January 18, 2023
- Published electronically: October 24, 2023
- Additional Notes: The first author was partially supported by EPSRC grant EP/S032460/1. The second author was supported by Royal Society University Research Fellowship âAutomorphic forms, L-functions and trace formulasâ. This work was supported by a grant from the Simons Foundation (853830, LR). The third author is also grateful for support from a 2021-2023 Deanâs Faculty Fellowship from Vanderbilt University.
- Communicated by: Amanda Folsom
- © Copyright 2023 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 152 (2024), 37-51
- MSC (2020): Primary 11F37, 11F25, 11F27
- DOI: https://doi.org/10.1090/proc/16435
- MathSciNet review: 4661061