Extremal numbers and multi-parametric geometry of numbers

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Damien Roy
Cited by: 0

Abstract

We study weighted simultaneous rational approximation to points of the form $(1,ξ,ξ^2)$, for a class of extremal real numbers $ξ$, within the framework of multi-parametric geometry of numbers.

Fields of Study & Subjects

Analytic Number Theory Research Algebraic Geometry and Number Theory Mathematical Dynamics and Fractals

Publication details

Journal / source
arXiv (Cornell University)
Publication date
1 February 2026
Document type
Preprint