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math.NT2026
On the spectrum of Diophantine exponents of lattices
Oleg N. German
In this paper we describe the spectrum of values of weak uniform Diophantine exponents of lattices in arbitrary dimension.
math.NT2025
On the weak uniform Diophantine exponent of a real number
Oleg N. German
In this paper we introduce the notion of a weak uniform Diophantine exponent of a real number and obtain the complete description of the spectrum of its values.
math.NT2025
On uniform Diophantine exponents of lattices
Oleg N. German
In this paper we study the spectrum of weak uniform Diophantine exponents of lattices and obtain its complete description in the two-dimensional case.
math.NT2021
On transference principle and Nesterenko's linear independence criterion
Oleg N. German, Nikolay G. Moshchevitin
We consider the problem of simultaneous approximation of real numbers with rationals and the dual problem of approximating zero with the values of the linear form…