Abstract
Let y = y(x) be a function defined by a continued fraction. A lower bound for |Λ| = |β 1 y 1 + β 2 y 2 + α| is given, where y 1 = y(x 1), y 2 = y(x 2), x 1 and x 2 are positive integers, α, β 1 and β 2 are algebraic irrational numbers.
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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)
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Yu, X.Y., Shen, Z.H. A lower bound for linear forms in values of a continued fraction. Acta. Math. Sin.-English Ser. 27, 2033–2038 (2011). https://doi.org/10.1007/s10114-011-8679-9
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DOI: https://doi.org/10.1007/s10114-011-8679-9