Metric Diophantine Approximation: The Khintchine—Groshev Theorem for Nondegenerate Manifolds

200290 citationsJournal Article

Authors

Victor Beresnevich · Institute of Mathematics

В. И. Берник · National Academy of Sciences of Belarus

Dmitry Kleinbock · Institute of Mathematics

Abstract

The main objective of this paper is to prove a Khintchine type theorem for divergence for linear Diophantine approximation on non-degenerate manifolds, which completes earlier results for convergence.

Topics & Keywords

Mathematical Dynamics and Fractals Advanced Differential Equations and Dynamical Systems Functional Equations Stability Results

UN Sustainable Development Goals

Reduced inequalities

Publication Details

Published in: Moscow Mathematical Journal

Volume 2, Issue 2, pp. 203-225

DOI: 10.17323/1609-4514-2002-2-2-203-225

Field-Weighted Citation Impact: 4.30