Note on the spectrum of classical and uniform exponents of Diophantine approximation
Tom 185 / 2018
Acta Arithmetica 185 (2018), 1-8
MSC: 11J13, 11K60.
DOI: 10.4064/aa170106-23-3
Opublikowany online: 25 June 2018
Streszczenie
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.
