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arXiv · 1601.05160

On the rational approximations to the real numbers corresponding to the differences of the Fibonacci sequence

Ying-jun Guo·Zhi-xiong Wen·Jie-meng Zhang
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Abstract

Based on the structure of Fibonacci sequence, we give a new proof for the irrationality exponents of the Fibonacci real numbers. Moreover, we obtain all the irrationality exponents of the real numbers corresponding to the differences of Fibonacci sequence.

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Ying-jun Guo, Zhi-xiong Wen, Jie-meng Zhang. 2016-01-30. On the rational approximations to the real numbers corresponding to the differences of the Fibonacci sequence. https://arxiv.org/abs/1601.05160

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