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Abstract
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For a given irrational number
one can define an irrationality measure function related to the second-best approximations
to
and consider the corresponding Diophantine constant and the corresponding
spectrum consisting of these constants. In particular, two largest elements of the
spectrum are already known. We calculate the value for the third element of the
spectrum.
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Keywords
Diophantine approximations
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Mathematical Subject Classification
Primary: 11J06
Secondary: 11J70
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Milestones
Received: 22 March 2023
Revised: 18 April 2023
Accepted: 2 May 2023
Published: 4 June 2023
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| © 2023 MSP (Mathematical Sciences
Publishers). |
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