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

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 24 Oct 2023Embargo end date: 01 Jan 2022 United Kingdom English Publisher:American Mathematical Society (AMS)Journal:Proceedings of the American Mathematical Society, volume 152, pages 37-51 (issn: 0002-9939, eissn: 1088-6826, Copyright policy )Funded by:UKRI | Modular symbols and appli...
Authors: Diamantis, Nikolaos; Lee, M; Rolen, Larry;

doi: 10.1090/proc/16435 , 10.48550/arxiv.2207.07057

arXiv: 2207.07057

handle: 21.11116/0000-000F-0F21-C , 21.11116/0000-000F-0F1B-4 , 21.11116/0000-000F-0F1D-2 , 1983/8fe58620-8508-4d1e-a6ad-d25b3edf223c

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

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.

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United Kingdom
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Keywords

Mathematics - Number Theory, half-integral weight weakly holomorphic modular forms, modular forms, 510, Bol operator, FOS: Mathematics, Hecke-Petersson operators, differential operators (one variable), Theta series; Weil representation; theta correspondences, Number Theory (math.NT), 11F37, 11F25, 11F03, Forms of half-integer weight; nonholomorphic modular forms

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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