Metric Diophantine approximation: The Khintchine--Groshev theorem for non-degenerate manifolds
Number Theory
2007-05-23 v1
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.
Keywords
Cite
@article{arxiv.math/0210349,
title = {Metric Diophantine approximation: The Khintchine--Groshev theorem for non-degenerate manifolds},
author = {V. Beresnevich and V. Bernik and D. Kleinbock and G. A. Margulis},
journal= {arXiv preprint arXiv:math/0210349},
year = {2007}
}
Comments
LaTeX, 24 pages