On zeros of quasi-modular forms

Balasubramanian, R. ; Gun, Sanoli (2012) On zeros of quasi-modular forms Journal of Number Theory, 132 (10). pp. 2228-2241. ISSN 0022-314X

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Official URL: http://doi.org/10.1016/j.jnt.2012.04.013

Related URL: http://dx.doi.org/10.1016/j.jnt.2012.04.013

Abstract

Several authors have studied the nature and location of zeros of modular forms for the full modular group Γ and other congruence subgroups. In this paper, we investigate the zeros of certain quasi-modular forms for Γ. In particular, we study the transcendence and existence of infinitely many Γ-inequivalent zeros of these quasi-modular forms. We also estimate the number of such zeros in Siegel sets, motivated by a recent work of Ghosh and Sarnak.

Item Type:Article
Source:Copyright of this article belongs to Elsevier B.V..
Keywords:Quasi-modular Forms; Eisenstein Series; Derivatives Of Modular Forms.
ID Code:117997
Deposited On:10 May 2021 14:17
Last Modified:10 May 2021 14:17

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