A lower bound for linear forms in values of a continued fraction |
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| Authors: | Xiu Yuan Yu Zhong Hua Shen |
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| Institution: | (1) Institute of Mathematics, Wrocław University, Plac Grunwaldzki 2-4, 50-384 Wrocław, Poland;; |
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| 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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| Keywords: | Continued fraction linear form lower bound |
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