Eisenstein Series and Modular Differential Equations

被引：12

作者：

Sebbar, Abdellah ^{[1
]}

Sebbar, Ahmed ^{[2
]}

机构：

[1] Univ Ottawa, Dept Math & Stat, Ottawa, ON K1N 6N5, Canada

[2] Univ Bordeaux 1, Inst Math Bordeaux, F-33405 Talence, France

来源：

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 2012年 / 55卷 / 02期

关键词：

differential equations; modular forms; Schwarz derivative; equivariant forms;

D O I：

10.4153/CMB-2011-091-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：400 / 409

页数：10

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