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math.NT2004
On the correlations of directions in the Euclidean plane
Florin P. Boca, Alexandru Zaharescu
We study the correlations of directions in the Euclidean plane, where is a point in a fixed disc, is an integer lattice point in the square , and $Q\to…
math.NT2004★ 1 cited
The correlations of Farey fractions
Florin P. Boca, Alexandru Zaharescu
We prove that all correlations of the sequence of Farey fractions exist and provide formulas for the correlation measures.