Splitting transference inequalities with the help of Wolfgang Schmidt's parametric geometry of numbers
Number Theory
2011-05-31 v1
Abstract
This paper is a sequel to our previous paper arXiv:1105.1554, where we defined two types of intermediate Diophantine exponents, connected them to Schmidt exponents and split Dyson's transference inequality into a chain of inequalities for intermediate exponents. Here we present splitting of some other transference inequalities involving both regular and uniform Diophantine exponents.
Keywords
Cite
@article{arxiv.1105.5823,
title = {Splitting transference inequalities with the help of Wolfgang Schmidt's parametric geometry of numbers},
author = {Oleg N. German},
journal= {arXiv preprint arXiv:1105.5823},
year = {2011}
}