Approximation de sous-espaces vectoriels de $\mathbb{R}^n$ par des sous-espaces rationnels
Number Theory
2024-06-25 v2
Abstract
This PhD thesis elaborates on a problem raised by Schmidt in 1967. We study Diophantine exponents for subspaces, which generalize the irrationality measure for real numbers. We construct subspaces with prescribed exponents and demonstrate properties of algebraic independence among certain exponents.
Keywords
Cite
@article{arxiv.2403.02717,
title = {Approximation de sous-espaces vectoriels de $\mathbb{R}^n$ par des sous-espaces rationnels},
author = {Gaétan Guillot},
journal= {arXiv preprint arXiv:2403.02717},
year = {2024}
}
Comments
PhD thesis, in French