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On the critical points of modular forms
Journal article   Open access  Peer reviewed

On the critical points of modular forms

Hicham Saber and Abdellah Sebbar
Journal of number theory, Vol.132(8), pp.1780-1787
01/08/2012
DOI: https://doi.org/10.1016/j.jnt.2012.03.004

Abstract

Mathematics Physical Sciences Science & Technology
In this paper, we study the critical points of classical modular forms. In particular, we prove that for each modular form f for a subgroup of SL2(Z), its derivative f' has infinitely many inequivalent zeros and all, but a finite number, are simple. (C) 2012 Elsevier Inc. All rights reserved.
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https://doi.org/10.1016/j.jnt.2012.03.004View
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