A note on general isolation result in Diophantine Approximation
Number Theory
2025-10-16 v3
Abstract
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 study functions such that existence of solutions of Diophantine inequality leads to the existence of solutions of inequality .
Cite
@article{arxiv.2509.25628,
title = {A note on general isolation result in Diophantine Approximation},
author = {Sergei Pitcyn and Nikolay Moshchevitin},
journal= {arXiv preprint arXiv:2509.25628},
year = {2025}
}