Congruence Subgroups of Hecke Groups

作     者：Bo CHEN Ping Zhi YUAN 

作者机构：School of Science Chongqing Jiaotong University Chongqing 400074 P. R. China School of Mathematics South China Normal University Guangzhou 510631 P. R. China 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2009年第25卷第6期

页      面：931-944页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：NSF of China(No.10571180) the Guangdong Provincial Natural Science Foundation(No.04009801) 

主　　题：Hecke group principal congruence subgroup congruence subgroup 

摘      要：Hecke groups are an important tool in subgroups of Hecke groups play an important rule investigating functional equations, and congruence in research of the solutions of the Dirichlet series. When q, m are two primes, congruence subgroups and the principal congruence subgroups of level m of the Hecke group H（√q） have been investigated in many papers. In this paper, we generalize these results to the case where q is a positive integer with q ≥ 5, √q ￠ Z and m is a power of an odd prime.