28 citations · 42 across the 21 of their papers we have counts for
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math.NT2010★ 2 cited
Transference inequalities for multiplicative Diophantine exponents
Oleg N. German
In this paper we prove inequalities for multiplicative analogues of Diophantine exponents, similar to the ones known in the classical case. Particularly, we show that a matrix is b…
math.NT2010
An inequality for Diophantine exponents in the case of simultaneous approximation
Oleg N. German
In this paper we prove an inequality for individual and uniform Diophantine exponents in the case of simultaneous approximation. This inequality is better than Jarnik's for small v…
math.NT2010★ 28 cited
On Diophantine exponents and Khintchine's transference principle
Oleg N. German
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…