The Affine Sieve Beyond Expansion I: Thin Hypotenuses: Fig. 1.

Jean Bourgain, Alex Kontorovich

Type: Article

Publication Date: 2014-12-01

Citations: 10

DOI: https://doi.org/10.1093/imrn/rnu222

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International Mathematics Research Notices - View

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Works Cited by This (19)

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+ PDF Chat	On the local-global conjecture for integral Apollonian gaskets	2013	Jean Bourgain Alex Kontorovich
+ PDF Chat	The limit set of a Fuchsian group	1976	S. J. Patterson
+	On the spectral gap for infinite index “congruence” subgroups of SL2(Z)	2002	Alex Gamburd
+ PDF Chat	The hyperbolic lattice point count in infinite volume with applications to sieves	2009	Alex Kontorovich
+	Fields of large transcendence degree generated by values of elliptic functions	1983	David Masser G. Wüstholz
+	On Zarembaʼs conjecture	2011	Jean Bourgain Alex Kontorovich
+	On Representations of Integers in Thin Subgroups of $${{\rm SL}_2({\mathbb {Z}})}$$	2010	Jean Bourgain Alex Kontorovich
+ PDF Chat	Affine linear sieve, expanders, and sum-product	2009	Jean Bourgain Alex Gamburd Peter Sarnak
+ PDF Chat	Entropy, Hausdorff measures old and new, and limit sets of geometrically finite Kleinian groups	1984	Dennis Sullivan
+	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