On the number of rational points on a strictly convex curve

Fedor Petrov

Type: Article

Publication Date: 2006-01-01

Citations: 6

DOI: https://doi.org/10.1007/s10688-006-0003-6

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Functional Analysis and Its Applications - View

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+ PDF Chat	Random variables associated with the Farey tree	2013	E. P. Golubeva
+ PDF Chat	Boundary slopes for the Markov ordering on relatively prime pairs	2022	Jonah Gaster
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+ PDF Chat	CONVEX CURVES AND A POISSON IMITATION OF LATTICES	2014	Nick Gravin Fedor Petrov Sinai Robins Dmitry Shiryaev
+	Rational points on analytic varieties	2014	Alexey Beshenov Margaret Bilu Yuri Bilu Purusottam Rath
+	Lattice points close to families of surfaces, non-isotropic dilations and regularity of generalized Radon transforms	2011	Alex Iosevich Krystal Taylor

Works Cited by This (8)

Action	Title	Year	Authors
+ PDF Chat	A uniform version of Jarník's theorem	1999	Alain Plagne
+	�ber die Gitterpunkte auf konvexen Kurven	1926	Vojtěch Jarník
+	The limit shape of convex lattice polygons and related topics	1994	A. M. Vershik
+	The number of integral points on arcs and ovals	1989	Enrico Bombieri Jonathan Pila
+	The number of lattice points on a convex curve	1974	H. P. F. Swinnerton-Dyer
+ PDF Chat	The limit shape of convex lattice polygons	1995	Imre Bárány
+ PDF Chat	Mixing, counting, and equidistribution in Lie groups	1993	Alex Eskin Curt McMullen
+	Continued fractions	1963	Aleksandr I︠A︡kovlevich Khinchin