On the rational approximations to the real numbers corresponding to the differences of the Fibonacci sequence
classification
🧮 math.NT
keywords
fibonaccinumbersrealsequencecorrespondingdifferencesexponentsirrationality
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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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