Chebyshev representation for rational functions

被引：15

作者：

Bogatyrev, A. B. ^{[1
,2
]}

机构：

[1] RAS, Inst Numer Math, Moscow, Russia

[2] State Univ, Moscow Inst Phys & Technol, Moscow, Russia

来源：

SBORNIK MATHEMATICS | 2010年 / 201卷 / 11期

基金：

俄罗斯基础研究基金会;

关键词：

rational approximation; Zolotarev fraction; Riemann surfaces; Abelian integrals;

D O I：

10.1070/SM2010v201n11ABEH004123

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An effective representation is obtained for rational functions all of whose critical points, apart from g-1, are simple and their corresponding critical values lie in a four-element set. Such functions are described using hyperelliptic curves of genus g >= 1. The classical Zolotarev fraction arises in this framework for g = 1.

引用

页码：1579 / 1598

页数：20

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