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Mathematics > Number Theory
Title: About the value of the two dimensional Levy's constant
(Submitted on 5 Jul 2021)
Abstract: We give a numerical approximation of the L\'evy constant on the growth of the denominators of the best Diophantine approximations in dimension 2 with respect to the euclidean norm. This constant is expressed as an integral on a surface of dimension 7. We reduce the computation of this integral to a triple integral, whose numerical evaluation was carried out in \cite{Xieu}.
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