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Eisenstein Series and Modular Differential Equations

  Published:2011-05-15
 Printed: Jun 2012
  • Abdellah Sebbar,
    Department of Mathematics and Statistics, University of Ottawa, Ottawa, ON K1N 6N5
  • Ahmed Sebbar,
    Institut de Mathématiques de Bordeaux, Université Bordeaux 1 351, cours de la Libération F-33405 Talence cedex
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Abstract

The purpose of this paper is to solve various differential equations having Eisenstein series as coefficients using various tools and techniques. The solutions are given in terms of modular forms, modular functions, and equivariant forms.
Keywords: differential equations, modular forms, Schwarz derivative, equivariant forms differential equations, modular forms, Schwarz derivative, equivariant forms
MSC Classifications: 11F11, 34M05 show english descriptions Holomorphic modular forms of integral weight
Entire and meromorphic solutions
11F11 - Holomorphic modular forms of integral weight
34M05 - Entire and meromorphic solutions
 

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