On Ramanujan's modular equations and Hecke groups

被引：0
|
作者：
Alam, Shafiul [1 ,2 ]
机构：
[1] Univ Barishal, Dept Math, Barishal 8254, Bangladesh
[2] Tohoku Univ, Grad Sch Informat Sci, Aoba Ku, Sendai 9808579, Japan
来源：
ANNALES FENNICI MATHEMATICI | 2024年 / 49卷 / 02期
关键词：
Modular equation; hypergeometric function; Hecke group; congruence subgroup;
D O I：
10.54330/afm.146802
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Inspired by the work of Ramanujan, many people have studied generalized modular equations and the numerous identities found by Ramanujan. These identities known as modular equations can be transformed into polynomial equations. There is no developed theory about how to find the degrees of these polynomial modular equations explicitly. In this paper, we determine the degrees of the polynomial modular equations explicitly and study the relation between Hecke groups and modular equations in Ramanujan's theories of signatures 2, 3, and 4.
引用
收藏
页码：461 / 471
页数：11
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