The best Diophantine approximations: the phenomenon of degenerate dimension
Number Theory
2007-05-23 v1
Abstract
This brief survey deals with multi-dimensional Diophantine approximations in sense of linear form and with simultaneous Diophantine approximations. We discuss the phenomenon of degenerate dimension of linear subspaces generated by the best Diophantine approximations. Originally most of these results have been established by the author in few years ago. Here we collect all of them together and give some new formulations.
Keywords
Cite
@article{arxiv.math/0411293,
title = {The best Diophantine approximations: the phenomenon of degenerate dimension},
author = {Nikolai G Moshchevitin},
journal= {arXiv preprint arXiv:math/0411293},
year = {2007}
}
Comments
27 pages