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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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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

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 “Automorphic forms, L-functions and trace formulas”. 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 Dean’s 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