用逼近方法建立代数无关性

朱尧辰

数学学报 ›› 1998, Vol. 41 ›› Issue (2)

PDF(353 KB)
PDF(353 KB)
数学学报 ›› 1998, Vol. 41 ›› Issue (2) DOI: 10.12386/A1998sxxb0079
论文

用逼近方法建立代数无关性

    朱尧辰
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Algebraic Independence by Approximation Method

    YaoChen Zhu
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文章历史 +

摘要

应用逼近方法建立了一个关于复数代数无关性的一般性判别法则,并用来研究某些缺项级数在代数点和超越点上值的代数无关性.

Abstract

By the use of approximation method a general criterion of algebraic independence of complex numbers is established. As its application algebraic independence of values of certain gap series at algebraic and transcendental points is given.

关键词

代数无关性 / 逼近方法 / 缺项级数

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导出引用
朱尧辰. 用逼近方法建立代数无关性. 数学学报, 1998, 41(2) https://doi.org/10.12386/A1998sxxb0079
YaoChen Zhu. Algebraic Independence by Approximation Method. Acta Mathematica Sinica, Chinese Series, 1998, 41(2) https://doi.org/10.12386/A1998sxxb0079
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