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Hausdorff dimension of the set of real numbers of Lagrange value three

Published 19 Jan 2012 in math.NT | (1201.4161v1)

Abstract: We show that the set of real numbers of Lagrange value 3 has Hausdorff dimension zero by showing the appropriate generalization for each element of the Teichmueller space of the appropriate subgroup of the classical modular group.

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