How to split Dyson's transference inequality with the help of Wolfgang Schmidt's parametric geometry of numbers

Details How to split Dyson's transference inequality with the help of Wolfgang Schmidt's parametric geometry of numbers How to split Dyson's transference inequality with the help of Wolfgang Schmidt's parametric geometry of numbers

2011-05-08

arxiv.org/abs/1105.1554v1

Mathematics

Number Theory

Scientific paper

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.

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