Note on the spectrum of classical and uniform exponents of Diophantine approximation
Volume 185 / 2018
Acta Arithmetica 185 (2018), 1-8
MSC: 11J13, 11K60.
DOI: 10.4064/aa170106-23-3
Published online: 25 June 2018
Abstract
Using the parametric geometry of numbers introduced recently by W. M. Schmidt and L. Summerer (2009, 2013) and results by D. Roy (2015, 2016), we establish that the $2n$ exponents of Diophantine approximation in dimension $n\geq 3$ are algebraically independent.
