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Kyushu Journal of Mathematics
Article . 2023 . Peer-reviewed
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ZEROS OF CERTAIN WEAKLY HOLOMORPHIC MODULAR FORMS

Zeros of certain weakly holomorphic modular forms
descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2023 English Publisher:Faculty of Mathematics, Kyushu UniversityJournal:Kyushu Journal of Mathematics, volume 77, pages 255-270 (issn: 1340-6116, eissn: 1883-2032, Copyright policy )
Authors: Hanamoto, Seiichi;

doi: 10.2206/kyushujm.77.255

ZEROS OF CERTAIN WEAKLY HOLOMORPHIC MODULAR FORMS

Abstract

Summary: Weakly holomorphic modular forms for modular groups are holomorphic away from the cusp. We study a certain family of weakly holomorphic modular forms and the locations of their zeros. We prove that all of the zeros in the standard fundamental domain for the modular group lie on a lower boundary arc, providing conditions.

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Keywords

Modular and automorphic functions, modular group, weakly holomorphic modular forms, Holomorphic modular forms of integral weight

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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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