On transfer inequalities in Diophantine approximation, II

Details On transfer inequalities in Diophantine approximation, II On transfer inequalities in Diophantine approximation, II

Publishing date

2008-11-13

URL

arxiv.org/abs/0811.2102v1

Science

Mathematics

Field

Number Theory

Type

Scientific paper

Abstract

We refine Khintchine Transference Principle which relates the measure of
simultaneous rational approximation of an $n$ real numbers with the measure of
linear independence of these $n$ numbers. Khintchine's inequalities are known
to be optimal. However, they may be sharpened by taking into account two
further uniform exponents.

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