Nikolay G. Moshchevitin

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20212026

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math.NT2026

Weak approximations, Diophantine exponents and two-dimensional lattices

Nikolay Moshchevitin

We study properties of Diophantine exponents of lattices and so-called related "weak" uniform approximations introduced in recent papers by Oleg German, in the simplest two-dimensi…

math.NT2025

On Diophantine exponents of lattices

Nikolay Moshchevitin

We describe the spectrum of ordinary Diophantine exponents for $d$ -dimensional lattices. The result reduces the problem to two-dimensional case and uses argument of metric theory.

math.NT2021

On transference principle and Nesterenko's linear independence criterion

Oleg N. German, Nikolay G. Moshchevitin

We consider the problem of simultaneous approximation of real numbers $θ_{1}, \dots, θ_{n}$ with rationals and the dual problem of approximating zero with the values of the linear form…