On the algebraic independence of functions of a certain class

被引：1

作者：

Kozlov, P. Yu. ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Dept Mech & Math, Moscow, Russia

来源：

IZVESTIYA MATHEMATICS | 2013年 / 77卷 / 01期

基金：

俄罗斯基础研究基金会;

关键词：

algebraic independence; Ramanujan functions; bound for the multiplicity of the zeros of polynomials;

D O I：

10.1070/IM2013v077n01ABEH002627

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider Ramanujan functions and a family of functions whose properties are close to those of Ramanujan functions. We prove the algebraic independence of these functions over the field of rational functions with complex coefficients. We also prove a bound for the multiplicity of the zeros of polynomials in these functions.

引用

页码：20 / 29

页数：10

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