On functions satisfying modular equations for infinitely many primes

被引：2

作者：

Kozlov, DN ^{[1
]}

机构：

[1] MIT, Dept Math, Cambridge, MA 02139 USA

来源：

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES | 1999年 / 51卷 / 05期

关键词：

D O I：

10.4153/CJM-1999-045-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study properties of the functions which satisfy modular equations for infinitely many primes. The two main results are: 1) every such function is analytic in the upper half plane; 2) if such function takes the same value in two different points z(1) and z(2) then there exists an f-preserving analytic bijection between neighbourhoods of z(1) and z(2).

引用

页码：1020 / 1034

页数：15

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