How to split Dyson's transference inequality with the help of Wolfgang Schmidt's parametric geometry of numbers
Number Theory
2011-05-10 v1
Abstract
In this paper we develop some of the ideas belonging to W.Schmidt and L.Summerer to define intermediate Diophantine exponents and split Dyson's transference inequality into a chain of inequalities for intermediate exponents. This splitting generalizes the analogous result of M.Laurent and Y.Bugeaud for Khintchine's transference inequalities.
Keywords
Cite
@article{arxiv.1105.1554,
title = {How to split Dyson's transference inequality with the help of Wolfgang Schmidt's parametric geometry of numbers},
author = {Oleg N. German},
journal= {arXiv preprint arXiv:1105.1554},
year = {2011}
}