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On the rational approximations to the real numbers corresponding to the differences of the Fibonacci sequence. (English) Zbl 1349.11025
Summary: 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.

MSC:
11B39 Fibonacci and Lucas numbers and polynomials and generalizations
11J82 Measures of irrationality and of transcendence
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