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

Nikolaos Diamantis; M Lee; Larry Rolen

doi:10.1090/proc/16435

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

Nikolaos Diamantis, M Lee, Larry Rolen

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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.

Original language	English
Pages (from-to)	37-51
Number of pages	15
Journal	Proceedings of the American Mathematical Society
Volume	152
Early online date	24 Oct 2023
DOIs	https://doi.org/10.1090/proc/16435
Publication status	E-pub ahead of print - 24 Oct 2023

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© 2023 American Mathematical Society.

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https://www.ams.org/journals/proc/2024-152-01/S0002-9939-2023-16435-7/S0002-9939-2023-16435-7.pdf

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title = "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.",

author = "Nikolaos Diamantis and M Lee and Larry Rolen",

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T1 - Analogues of the Bol operator for half-integral weight weakly holomorphic modular forms

AU - Diamantis, Nikolaos

AU - Lee, M

AU - Rolen, Larry

PY - 2023/10/24

Y1 - 2023/10/24

N2 - 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.

AB - 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.

U2 - 10.1090/proc/16435

DO - 10.1090/proc/16435

M3 - Article (Academic Journal)

SN - 0002-9939

VL - 152

SP - 37

EP - 51

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

ER -

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

Abstract

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