Diophantine approximation in 𝑅ⁿ

Vulakh, L. Ya.

doi:10.1090/S0002-9947-1995-1276937-3

Diophantine approximation in $\textbf {R}^ n$
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Trans. Amer. Math. Soc. 347 (1995), 573-585 Request permission

Abstract:

A modification of the Ford geometric approach to the problem of approximation of irrational real numbers by rational fractions is developed. It is applied to find an upper bound for the Hurwitz constant for a discrete group acting in a hyperbolic space. A generalized Khinchine’s approximation theorem is also given.

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