On Diophantine exponents and Khintchine's transference principle

Details On Diophantine exponents and Khintchine's transference principle On Diophantine exponents and Khintchine's transference principle

2010-04-28

arxiv.org/abs/1004.4933v1

Mathematics

Number Theory

19 pages, 19 references

Scientific paper

In this paper we improve estimates of Jarnik and Apfelbeck for uniform
Diophantine exponents of transposed systems of linear forms and generalize to
the case of an arbitrary system the estimates of Laurent and Bugeaud for
individual exponents. The method proposed also gives a better constant in
Mahler's transference theorem.

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