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Mahler型函数值的代数无关度量
引用本文:王天芹.Mahler型函数值的代数无关度量[J].数学年刊A辑(中文版),2006(5).
作者姓名:王天芹
作者单位:河南大学数据与知识工程研究所 河南
摘    要:利用初等的结式方法研究满足多项式形式的函数方程组的Mahler型函数的零点估计,给出了满足非线性函数方程组的Mahler型函数在代数点值的代效无关度量.

关 键 词:代数无关度量  零点估计  Mahler型函数

Algebraic Independence Measure for the Values of Mahler Type Functions
WANG Tianqin Institute of Data and Knowledge Engineering,Henan University,Kaifeng ,China,Academy of Mathematics and System Sciences,Chinese Academy of Sciences,Beijing ,China..Algebraic Independence Measure for the Values of Mahler Type Functions[J].Chinese Annals of Mathematics,2006(5).
Authors:WANG Tianqin Institute of Data and Knowledge Engineering  Henan University  Kaifeng  China  Academy of Mathematics and System Sciences  Chinese Academy of Sciences  Beijing  China
Institution:WANG Tianqin~* *Institute of Data and Knowledge Engineering,Henan University,Kaifeng 475001,China,Academy of Mathematics and System Sciences,Chinese Academy of Sciences,Beijing 100080,China.
Abstract:The paper gives an algebraic independence measure for the values of Mahler func- tions satisfying non-linear functional equations,where the arguments are algebraic numbers.
Keywords:Algebraic independence measure  Zero order estimate  Mahler type function
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