A lower bound for linear forms in values of a continued fraction

被引：0
|
作者：
Xiu Yuan Yu
Zhong Hua Shen
机构：
[1] Hangzhou Normal University,Department of Mathematics
[2] Taizhou Vocational and Technical College,Department of Computer Science
来源：
Acta Mathematica Sinica, English Series | 2011年 / 27卷
关键词：
Continued fraction; linear form; lower bound; 11J68; 11J85;
D O I：
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学科分类号：
摘要：
Let y = y(x) be a function defined by a continued fraction. A lower bound for |Λ| = |β1y1 + β2y2 + α| is given, where y1 = y(x1), y2 = y(x2), x1 and x2 are positive integers, α, β1 and β2 are algebraic irrational numbers.
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页码：2033 / 2038
页数：5
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