Nikolay Moshchevitin

activity

20182022

collaborators

3 papers

math.NT2022

Einige Bemerkungen über inhomogene diophantische Approximationen

Nikolay Moshchevitin

We discuss some easy statements dealing with linear inhomogeneous Diophantine approximation. Surprisingly, we did not find some of them in the literature.

math.NT2019

Über die Winkel zwischen Unterräumen

Nikolay Moshchevitin

We prove a metric statement about approximation of a $n$ -dimensional linear subspace $A$ in $R^{d}$ by $n$ -dimensional rational subspaces. We consider the problem of finding…

math.NT2018

Über die Funktionen des Irrationalitätsmaßes für zwei irrationalen Zahlen

Nikolay G. Moshchevitin

For real $ξ$ we consider irrationality measure function $ψ_{ξ} (t) = min_{1 \leq q \leq t, q \in Z} ∣∣ q ξ ∣∣$ . We prove that in the case $α \pm β \neq \in Z$ there exist…