A Lower Bound for Linear Forms in Values of a Continued Fraction

被引：0
|
作者：
Yu, Xiu Yuan [1 ,2 ]
Shen, Zhong Hua [1 ]
机构：
[1] Hangzhou Normal Univ, Dept Math, Hangzhou 310036, Zhejiang, Peoples R China
[2] Taizhou Vocat & Tech Coll, Dept Comp Sci, Taizhou 318000, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2011年 / 27卷 / 10期
基金：
中国国家自然科学基金;
关键词：
Continued fraction; linear form; lower bound; UNIFORM DOMAINS; FREE QUASICONFORMALITY; BANACH-SPACES;
D O I：
10.1007/s10114-011-8679-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let y = y(x) be a function defined by a continued fraction. A lower bound for |Lambda| = |beta(1)y(1) + beta(2)y(2) + alpha| is given, where y(1) = y(x(1)), y(2) = y(x(2)), x(1) and x(2) are positive integers, alpha, beta(1) and beta(2) are algebraic irrational numbers.
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页码：2033 / 2050
页数：18
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