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math.NT2026
A note on exact approximations
Dmitry Gayfulin, Sergei Pitcyn
Based on M. Hall's theorem we prove a simple result dealing with real numbers which admit exact approximations by rationals.
math.NT2025
A note on general isolation result in Diophantine Approximation
Sergei Pitcyn, Nikolay Moshchevitin
In the present paper we give very simple general statements which deal with approximation of a real number by rationals and are related to isolation phenomenon. In particular we st…