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Eisenstein Series and Modular Differential Equations

Published online by Cambridge University Press:  20 November 2018

Abdellah Sebbar  and
Ahmed Sebbar
Abdellah Sebbar
Affiliation:
Department of Mathematics and Statistics, University of Ottawa, Ottawa, ON K1N 6N5e-mail: asebbar@uottawa.ca
Ahmed Sebbar
Affiliation:
Institut de Mathématiques de Bordeaux, Université Bordeaux 1 351, cours de la Libération F-33405 Talence cedexe-mail: ahmed.sebbar@math.u-bordeaux1.fr
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Abstract

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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

11F1134M05differential equationsmodular formsSchwarz derivativeequivariant forms
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 55 , Issue 2 , 01 June 2012 , pp. 400 - 409
Copyright
Copyright © Canadian Mathematical Society 2012

References

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