Eisenstein series and modular differential equations
Abdellah Sebbar, Ahmed Sebbar
TL;DR
This paper explores solving differential equations with Eisenstein series coefficients, providing solutions expressed through modular forms, functions, and equivariant forms, advancing understanding in the field of modular differential equations.
Contribution
It introduces new methods for solving differential equations with Eisenstein series coefficients using modular and equivariant forms.
Findings
Solutions expressed in terms of modular forms and functions
Development of techniques for differential equations with Eisenstein series
Enhanced understanding of modular differential equations
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.
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Taxonomy
TopicsAdvanced Mathematical Identities · Advanced Algebra and Geometry · Advanced Mathematical Theories and Applications