On the Farey fractions with denominators in arithmetic progression

Cristian Cobeli, Alexandru Zaharescu

Type: Preprint

Publication Date: 2005-01-01

Citations: 8

DOI: https://doi.org/10.48550/arxiv.math/0511358

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+	Ducci iterates and similar ordering of visible points in convex regions	2019	Junxian Li Albert Tamazyan Alexandru Zaharescu
+ PDF Chat	A note on Farey fractions with denominators in arithmetic progressions	2011	Dzmitry Badziahin Alan Haynes
+ PDF Chat	A growth model based on the arithmetic Z-game	2016	Cristian Cobeli Mihai Prunescu Alexandru Zaharescu
+	A bias parity question for Sturmian words	2018	Cristian Cobeli Alexandru Zaharescu
+	DOI$^2$.	2019	Cristian Cobeli
+	A note on Farey fractions with denominators in arithmetic progressions	2009	Dzmitry Badziahin Alan Haynes
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Works Cited by This (11)

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+	The average length of a trajectory in a certain billiard in a flat two-torus	2003	Florin P. Boca Radu N. Gologan Alexandru Zaharescu
+ PDF Chat	On the distribution of the Farey sequence with odd denominators	2003	Florian P. Boca Christian Cobeli Alexandru Zaharescu
+ PDF Chat	The index of a Farey sequence	2003	R. R. Hall Peter Shiu
+ PDF Chat	A parity problem on the free path length of a billiard in the unit square with pockets	2006	Emre Alkan Andrew Ledoan Alexandru Zaharescu
+ PDF Chat	A note on Farey fractions with odd denominators	2002	Alan Haynes
+ PDF Chat	The Statistics of the Trajectory of a Certain Billiard in a Flat Two-Torus	2003	Florin P. Boca Radu N. Gologan Alexandru Zaharescu
+	On the Distribution of Free Path Lengths¶for the Periodic Lorentz Gas	1998	Jean Bourgain François Golse Bernt Wennberg
+	Sur le modele du gaz de Lorentz periodique	2003	Florin P. Boca Radu N. Gologan Alexandru Zaharescu
+	The relative size of consecutive odd denominators in Farey series.	2003	Cristian Cobeli Adrian Iordache Alexandru Zaharescu
+	A density theorem on even Farey fractions	2005	Cristian Cobeli Alexandru Zaharescu