Regularized pairings of meromorphic modular forms and theta lifts

Shaul Zemel

doi:10.1016/j.jnt.2015.10.016

Regularized pairings of meromorphic modular forms and theta lifts

Shaul Zemel^*

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

We show that the meromorphic modular forms recently considered by Bringmann and Kane can be obtained as images of regularized theta lifts of Poincaré series under weight raising operators. We use this fact in order to simplify the evaluation of the regularized pairing, also defined by Bringmann and Kane, of these functions with other meromorphic modular forms.

Original language	English
Pages (from-to)	275-311
Number of pages	37
Journal	Journal of Number Theory
Volume	162
DOIs	https://doi.org/10.1016/j.jnt.2015.10.016
State	Published - 1 May 2016

Bibliographical note

Publisher Copyright:
© 2015 Elsevier Inc.

Keywords

Generalized pairings of modular forms
Meromorphic modular forms
Theta lifts

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10.1016/j.jnt.2015.10.016

Cite this

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abstract = "We show that the meromorphic modular forms recently considered by Bringmann and Kane can be obtained as images of regularized theta lifts of Poincar{\'e} series under weight raising operators. We use this fact in order to simplify the evaluation of the regularized pairing, also defined by Bringmann and Kane, of these functions with other meromorphic modular forms.",

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AB - We show that the meromorphic modular forms recently considered by Bringmann and Kane can be obtained as images of regularized theta lifts of Poincaré series under weight raising operators. We use this fact in order to simplify the evaluation of the regularized pairing, also defined by Bringmann and Kane, of these functions with other meromorphic modular forms.

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KW - Meromorphic modular forms

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Regularized pairings of meromorphic modular forms and theta lifts

Abstract

Bibliographical note

Keywords

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