Geodesic
Distribution of rational points on the circle of unit radius
Izvestiya. Mathematics , Tome 83 (2019) no. 5, pp. 1008-1049.

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We obtain an expression for the density of the distribution of the lengths of arcs connecting neighbouring rational points on the unit circle with denominators not exceeding a given bound.
Keywords: Farey fractions, Pythagorean triples, unit circle, density of a distribution. 
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M. A. Korolev; A. V. Ustinov. Distribution of rational points on the circle of unit radius. Izvestiya. Mathematics , Tome 83 (2019) no. 5, pp. 1008-1049. http://geodesic.mathdoc.fr/item/IM2_2019_83_5_a4/

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