Values of binary quadratic forms at integer points and Schmidt games

2013/11/07 by Kleinbock, Dmitry, Weiss, Barak · 1 citation
#11E16 #37A45 #37D40 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1311.1560

Abstract

We prove that for any countable set A of real numbers, the set of binary indefinite quadratic forms Q such that the closure of Q(ℤ²) is disjoint from A has full Hausdorff dimension.

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• A survey and a result on inhomogeneous quadratic forms

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