Nikolay Moshchevitin

activity

20132022

most citedÜber die Funktionen des Irrationalitätsmaßes

1 citations · 1 across the 6 of their papers we have counts for

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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…

math.NT2016★ 1 cited

Über die Funktionen des Irrationalitätsmaßes

Nikolay G. Moshchevitin

We study two irrationality measure functions $ψ_{α}^{[2]} (t)$ and $ψ_{α}^{[2] *} (t)$ related to the "second best" approximations to a real numbers and prove some results on the struc…

math.NT2015

Eine Bemerkung über positiv definite quadratische Formen und rationale Punkte

Nikolay Moshchevitin

We give an elementary proof of a recent result by Fishman, Kleinbock, Merrill and Simmons about rational points on quadratic surfaces.

math.NT2014

Über die rationalen Punkte auf der Sphäre

Nikolay Moshchevitin

We give a simple proof of a recent result by Kleinbock and Merrill concerning intrinsic approximations on sphere, in the simplest case of two-dimensional sphere in $R^{3}$ .

math.NT2013

Über eine Ungleichung von Schmidt und Summerer für diophantische Exponenten von Linearenformen in drei Variablen

Nikolay Moshchevitin

We give a simple proof of a recent inequality by W.M. Schmidt and L. Summerer concerning Diophantine exponents for a linear form in three real variables.