Values of binary quadratic forms at integer points and Schmidt games

preprint2013arXivOpen access

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

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Values of binary quadratic forms at integer points and Schmidt games

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