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

作　　者：Xiu Yuan YU Zhong Hua SHEN 

机构地区：[1]Department of Mathematics, Hangzhou Normal University, Hangzhou 310036, P. R. China [2]Department of Computer Science, Taizhou Vocational and Technical College, Taizhou 318000, P. R. China

出　　处：《Acta Mathematica Sinica,English Series》2011年第10期2033-2038,共6页数学学报（英文版）

基　　金：Supported by National Natural Science Foundation of China （Grant No. 10671051）, Natural Science Foundation of Zhejiang Province （Grant No. 103060） and Foundation of Zhejiang Educational Committee （Grant No. 20061069）

摘　　要：Let y = y（x） be a function defined by a continued fraction. A lower bound for │A│ =│β1y1 ＋β2y2 ＋α│ is given, where y1 = y（x1）, y2 = y（x2）, x1 and x2 are positive integers, α,β and β2 are algebraic irrational numbers.Let y = y（x） be a function defined by a continued fraction. A lower bound for │A│ =│β1y1 ＋β2y2 ＋α│ is given, where y1 = y（x1）, y2 = y（x2）, x1 and x2 are positive integers, α,β and β2 are algebraic irrational numbers.

关 键 词：Continued fraction linear form lower bound 

分 类 号：O156.7[理学—数学] TN914.2[理学—基础数学]