3 papers
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.