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Abstract
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For real
we consider the irrationality measure function
.
We prove that in the case
there
exist arbitrary large values of
with
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The constant on the right-hand side is optimal.
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Keywords
irrationality measure function, diophantine approximation,
continued fractions
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Mathematical Subject Classification
Primary: 11J06, 11J70
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Milestones
Received: 7 April 2021
Revised: 9 June 2021
Accepted: 25 June 2021
Published: 30 March 2022
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