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Geometry of Diophantine exponents
Oleg N. German
Diophantine exponents are ones of the simplest quantitative characteristics responsible for the approximation properties of linear subspaces of a Euclidean space. This survey is ai…
math.NT2022
Diophantine exponents of lattices and growth of multidimensional analogues of partial quotients
Elmir R. Bigushev, Oleg N. German
In this paper we study the three-dimensional analogue of the relation between the irrationality exponent of a real number and the growth of its regular continued fraction partial q…