The local-global principle for integral bends in orthoplicial Apollonian sphere packings

K. Nakamura

Type: Preprint

Publication Date: 2014-01-01

Citations: 5

DOI: https://doi.org/10.48550/arxiv.1401.2980

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+	The Apollonian structure of Bianchi groups	2016	Katherine E. Stange
+	Asymptotic Density of Apollonian-Type Packings	2021	Matthew Litman Arseniy Sheydvasser
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Works Cited by This (12)

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+	The Local-Global Principle for Integral Soddy Sphere Packings	2012	Alex Kontorovich
+ PDF Chat	The Osculatory Packing of a Three Dimensional Sphere	1973	David W. Boyd
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+	The Apollonian Packing of Circles	1967	Keith Hirst
+ PDF Chat	The Bowl of Integers and the Hexlet	1937	Frederick Soddy
+	Local densities and explicit bounds for representability by a quadratic form	2004	Jonathan Hanke
+ PDF Chat	Apollonian circle packings: number theory	2003	Ronald Graham Jeffrey C. Lagarias Colin L. Mallows Allan R. Wilks Catherine H. Yan
+ PDF Chat	A generalization of Apollonian packing of circles	2010	Gerhard Guettler Colin L. Mallows
+ PDF Chat	Integral Apollonian circle packings and prime curvatures	2012	Jean Bourgain
+	On the Local-Global Conjecture for integral Apollonian gaskets	2012	Jean Bourgain Alex Kontorovich