Integral Apollonian Packings

Peter Sarnak

Type: Article

Publication Date: 2011-01-01

Citations: 53

DOI: https://doi.org/10.4169/amer.math.monthly.118.04.291

Abstract

AbstractWe review the construction of integral Apollonian circle packings. There are a number of Diophantine problems that arise in the context of such packings. We discuss some of them and describe some recent advances. Additional informationNotes on contributorsPeter SarnakPETER SARNAK is a professor at the Institute for Advanced Study in Princeton and at Princeton University.

Locations

American Mathematical Monthly - View
CiteSeer X (The Pennsylvania State University) - View - PDF
American Mathematical Monthly - View
CiteSeer X (The Pennsylvania State University) - View - PDF

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+ PDF	Primes represented by quadratic polynomials in two variables	1974	Henryk Iwaniec
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+	Congruence Properties of Zariski-Dense Subgroups I	1984	Christopher R. Matthews L. N. Vaserstein Boris Weisfeiler