FAMILIES OF ELLIPTIC FUNCTIONS AND UNIFORMIZATION OF COMPLEX TORI WITH A UNIQUE POINT OVER INFINITY

被引：3

作者：

Nasyrov, S. R. ^{[1
]}

机构：

[1] Kazan Fed Univ, 35 Kremlevskaya Str, Kazan 420008, Russia

来源：

PROBLEMY ANALIZA-ISSUES OF ANALYSIS | 2018年 / 7卷 / 02期

基金：

俄罗斯基础研究基金会;

关键词：

Riemann surface; complex torus; elliptic function; uniformization;

D O I：

10.15393/j3.art.2018.5290

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate the problem of describing a one-parametric family of elliptic functions which uniformizes a given family of ramified coverings of the Riemann sphere with maximal possible ramification over infinity. We find a PDE for the family of functions and use it to deduce a system of ODEs for their critical points.

引用

页码：98 / 111

页数：14

共 4 条

[1] Uniformization of one-parametric families of complex tori
Nasyrov S.R.
Russian Mathematics, 2017, 61 (8) : 36 - 45
[2] Optimal test functions for detecting central point vanishing over families of L-functions
Freeman, Jesse
JOURNAL OF NUMBER THEORY, 2022, 240 : 1 - 30
[3] Low-lying zeros in families of elliptic curve L-functions over function fields
Meisner, Patrick
Sodergren, Anders
FINITE FIELDS AND THEIR APPLICATIONS, 2022, 84
[4] Unique normal forms near a degenerate elliptic fixed point in two-parametric families of area-preserving maps
Gelfreich, Vassili
Gelfreikh, Natalia
NONLINEARITY, 2014, 27 (07) : 1645 - 1667

← 1 →