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

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{IM2_2019_83_5_a4,
     author = {M. A. Korolev and A. V. Ustinov},
     title = {Distribution of rational points on the circle of unit radius},
     journal = {Izvestiya. Mathematics },
     pages = {1008--1049},
     publisher = {mathdoc},
     volume = {83},
     number = {5},
     year = {2019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2019_83_5_a4/}
}
TY  - JOUR
AU  - M. A. Korolev
AU  - A. V. Ustinov
TI  - Distribution of rational points on the circle of unit radius
JO  - Izvestiya. Mathematics 
PY  - 2019
SP  - 1008
EP  - 1049
VL  - 83
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IM2_2019_83_5_a4/
LA  - en
ID  - IM2_2019_83_5_a4
ER  - 
%0 Journal Article
%A M. A. Korolev
%A A. V. Ustinov
%T Distribution of rational points on the circle of unit radius
%J Izvestiya. Mathematics 
%D 2019
%P 1008-1049
%V 83
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IM2_2019_83_5_a4/
%G en
%F IM2_2019_83_5_a4
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/