English

Values of binary quadratic forms at integer points and Schmidt games

Number Theory 2013-11-08 v1

Abstract

We prove that for any countable set AA of real numbers, the set of binary indefinite quadratic forms QQ such that the closure of Q(Z2)Q(\mathbb{Z}^2) is disjoint from AA has full Hausdorff dimension.

Keywords

Cite

@article{arxiv.1311.1560,
  title  = {Values of binary quadratic forms at integer points and Schmidt games},
  author = {Dmitry Kleinbock and Barak Weiss},
  journal= {arXiv preprint arXiv:1311.1560},
  year   = {2013}
}

Comments

13 pages

R2 v1 2026-06-22T02:02:42.663Z