28 citations · 42 across the 21 of their papers we have counts for
Showing 2016 · math.NTShow all
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math.NT2016
A short proof of Minkowski's second theorem and its application to some open questions
Oleg N. German
In this paper we present a surprisingly short proof of Minkowski's second theorem. The author hopes there is no mistake in it, though the argument seems to be too plain to contain…
math.NT2016
Diophantine exponents of lattices
Oleg N. German
In this paper we define Diophantine exponents of lattices and investigate some of their properties. We prove transference inequalities and construct some examples with the help of…
math.NT2016
Palindromes and periodic continued fractions
Oleg N. German, Ibragim A. Tlyustangelov
This paper is devoted to a detailed exposition of geometry of continued fractions. We pay particular interest to the case of quadratic irrationalities and use the technique describ…