Note on the spectrum of classical and uniform exponents of Diophantine approximation

Antoine Marnat

doi:10.4064/aa170106-23-3

Note on the spectrum of classical and uniform exponents of Diophantine approximation

Antoine Marnat

Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Journal	Acta Arithmetica
DOIs	https://doi.org/10.4064/aa170106-23-3
Publication status	E-pub ahead of print - 25 Jun 2018

Bibliographical note

This is an author-produced version of the published paper. Uploaded in accordance with the publisher’s self-archiving policy. Further copying may not be permitted; contact the publisher for details

Keywords

math.NT
11J13

Access to Document

10.4064/aa170106-23-3

1701.01584v2
This is an author-produced version of the published paper. Uploaded in accordance with the publisher’s self-archiving policy. Further copying may not be permitted; contact the publisher for details
Accepted author manuscript, 112 KB

https://arxiv.org/abs/1701.01584

Cite this

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