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Abstract
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Based on M. Hall’s theorem, we prove a simple result about real numbers that admit
exact approximations by rationals.
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Keywords
Diophantine approximations, Lagrange spectrum, exact
approximations
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Mathematical Subject Classification
Primary: 11J04, 11J06
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Milestones
Received: 1 April 2026
Revised: 10 July 2026
Accepted: 24 July 2026
Published: 7 September 2026
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