On representations of integers in thin subgroups of SL(2,Z)

Jean Bourgain, Alex Kontorovich

Type: Preprint

Publication Date: 2010-01-01

Citations: 6

DOI: https://doi.org/10.48550/arxiv.1001.4534

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Works That Cite This (6)

Action	Title	Year	Authors
+ PDF Chat	Different Approaches to the Distribution of Primes	2010	Andrew Granville
+ PDF Chat	Expander graphs in pure and applied mathematics	2011	Alexander Lubotzky
+ PDF Chat	Beyond Expansion IV: Traces of Thin Semigroups	2018	Jean Bourgain Alex Kontorovich
+	On Zarembaʼs conjecture	2011	Jean Bourgain Alex Kontorovich
+ PDF Chat	Matrix coefficients, counting and primes for orbits of geometrically finite groups	2015	Amir Mohammadi Hee Oh
+	Sieve in expansion	2010	Emmanuel Kowalski

Works Cited by This (8)

Action	Title	Year	Authors
+	Apollonian circle packings and closed horospheres on hyperbolic 3-manifolds	2008	Alex Kontorovich Hee Oh
+	Almost prime Pythagorean triples in thin orbits	2010	Alex Kontorovich Hee Oh
+ PDF Chat	Affine linear sieve, expanders, and sum-product	2009	Jean Bourgain Alex Gamburd Peter Sarnak
+	Sector estimates for hyperbolic isometries	2010	Jean Bourgain Alex Kontorovich Peter Sarnak
+	Sieving and expanders⁎⁎The first author was supported in part by NSF grant DMS-0322370. The second author was supported in part by NSF grant DMS-0111298 and DMS-0501245. The third author was supported in part by Oscar Veblen Fund (IAS) and the NSF.	2006	Jean Bourgain Alex Gamburd Peter Sarnak
+	The Asymptotic Distribution of Lattice Points in Euclidean and Non-Euclidean Spaces	1982	Peter D. Lax Ralph S. Phillips
+ PDF Chat	Apollonian circle packings: number theory	2003	Ronald Graham Jeffrey C. Lagarias Colin L. Mallows Allan R. Wilks Catherine H. Yan
+	Prime and almost prime integral points on principal homogeneous spaces	2009	Amos Nevo Peter Sarnak