English

Extremal numbers and multi-parametric geometry of numbers

Number Theory 2026-02-03 v1

Abstract

We study weighted simultaneous rational approximation to points of the form (1,ξ,ξ2)(1,\xi,\xi^2), for a class of extremal real numbers ξ\xi, within the framework of multi-parametric geometry of numbers.

Keywords

Cite

@article{arxiv.2602.01488,
  title  = {Extremal numbers and multi-parametric geometry of numbers},
  author = {Damien Roy},
  journal= {arXiv preprint arXiv:2602.01488},
  year   = {2026}
}

Comments

52 pages, 10 figures

R2 v1 2026-07-01T09:30:38.537Z