Year: 2021
Type: preprint
Abstract: We give a numerical approximation of the Lévy 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}.
Source: arXiv (Cornell University)
Authors: Cheung, Yitwah, Chevallier, Nicolas
Institutions: Tsinghua University, Université de Haute-Alsace
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W3177948596