The Local-Global Principle for Integral Soddy Sphere Packings

Alex Kontorovich

Type: Preprint

Publication Date: 2012-08-27

Citations: 9

Locations

arXiv (Cornell University) - View

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Action	Title	Year	Authors
+ PDF Chat	Radial Density in Apollonian Packings	2014	Jayadev S. Athreya Cristian Cobeli Alexandru Zaharescu
+	Quaternion orders and sphere packings	2019	Arseniy Sheydvasser
+	The Local-Global Principle for Integral Generalized Apollonian Sphere Packings	2014	Dimitri Dias
+	The local-global principle for integral bends in orthoplicial Apollonian sphere packings	2014	K. Nakamura
+	Radial Density in Apollonian Packings	2014	Jayadev S. Athreya Cristian Cobeli Alexandru Zaharescu
+	Apollonian Circle Packings and the Riemann Hypothesis	2015	J. Hempstead
+	The Apollonian structure of Bianchi groups	2016	Katherine E. Stange
+ PDF Chat	Geometry and arithmetic of crystallographic sphere packings	2018	Alex Kontorovich Kei Nakamura
+	The Apollonian structure of Bianchi groups	2015	Katherine E. Stange

Works Cited by This (12)

Action	Title	Year	Authors
+	Rational Quadratic Forms	1982	J. W. S. Cassels
+	Counting, Mixing and Equidistribution of horospheres in geometrically finite rank one locally symmetric manifolds	2011	Инканг Ким
+ PDF Chat	The Osculatory Packing of a Three Dimensional Sphere	1973	David W. Boyd
+	A proof of the positive density conjecture for integer Apollonian circle packings	2011	Jean Bourgain Elena Fuchs
+ PDF Chat	The Bowl of Integers and the Hexlet	1937	Frederick Soddy
+	On the Local-Global Principle for Integral Apollonian-3 Circle Packings	2013	Xin Zhang
+ PDF Chat	Apollonian Circle Packings: Geometry and Group Theory III. Higher Dimensions	2005	Ronald Graham Jeffrey C. Lagarias Colin L. Mallows Allan R. Wilks Catherine H. Yan
+	XV. On systems of circles and spheres	1886	R. Lachlan
+	THE FRACTAL DIMENSION OF THE APOLLONIAN SPHERE PACKING	1994	Michal Borkovec W. DE PARIS Ronald Peikert
+ PDF Chat	Apollonian circle packings: number theory	2003	Ronald Graham Jeffrey C. Lagarias Colin L. Mallows Allan R. Wilks Catherine H. Yan