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).
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页码：1020 / 1034
页数：15
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