A simple method to extract zeros of certain Eisenstein series of small level

Chattopadhyaya, A (2020) A simple method to extract zeros of certain Eisenstein series of small level. In: Proceedings of the Indian Academy of Sciences: Mathematical Sciences, 130 (1).

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Abstract

This paper provides a simple method to extract the zeros of some weight two Eisenstein series of level N where N= 2 , 3 , 5 and 7. The method is based on the observation that these Eisenstein series are integral over the graded algebra of modular forms on SL(2, Z) and their zeros are �controlled� by those of E4 and E6 in the fundamental domain of � (N). .

Item Type:	Journal Article
Publication:	Proceedings of the Indian Academy of Sciences: Mathematical Sciences
Publisher:	Springer
Additional Information:	Copyright of this article belongs to Springer
Keywords:	Fundamental domain; Graded algebras; Modular forms; SIMPLE method; Zeros of Eisenstein series, Mathematical techniques
Department/Centre:	Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Date Deposited:	30 Jan 2020 06:56
Last Modified:	30 Jan 2020 06:56
URI:	http://eprints.iisc.ac.in/id/eprint/64351

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