About the value of the two dimensional Levy's constant
Number Theory
2021-07-06 v1 Dynamical Systems
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}.
Cite
@article{arxiv.2107.01907,
title = {About the value of the two dimensional Levy's constant},
author = {Yitwah Cheung and Nicolas Chevallier},
journal= {arXiv preprint arXiv:2107.01907},
year = {2021}
}
Comments
13 pages, 4 figures