Kyushu Journal of Mathematics
Online ISSN : 1883-2032
Print ISSN : 1340-6116
ISSN-L : 1340-6116
ZEROS OF CERTAIN WEAKLY HOLOMORPHIC MODULAR FORMS
Seiichi HANAMOTO
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2023 Volume 77 Issue 2 Pages 255-270

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Abstract

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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© 2023 Faculty of Mathematics, Kyushu University
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