Note on the spectrum of classical and uniform exponents of Diophantine approximation
Marnat, Antoine
(2018)
Note on the spectrum of classical and uniform exponents of Diophantine approximation.
Acta Arithmetica.
ISSN: 1730-6264
Abstract
Using the Parametric Geometry of Numbers introduced recently by W.M. Schmidt and L. Summerer and results by D. Roy, we establish that the spectrum of the 2n exponents of Diophantine approximation in dimension n≥3 is a subset of R2n with non empty interior.
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Article
Authors/Creators:
Marnat, Antoine (am2276@york.ac.uk)
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