Integral apollonian packings

Peter Sarnak

doi:10.4169/amer.math.monthly.118.04.291

Integral apollonian packings

Peter Sarnak

Mathematics

Research output: Contribution to journal › Review article › peer-review

23 Scopus citations

Abstract

We 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.

Original language	English (US)
Pages (from-to)	291-306
Number of pages	16
Journal	American Mathematical Monthly
Volume	118
Issue number	4
DOIs	https://doi.org/10.4169/amer.math.monthly.118.04.291
State	Published - Apr 2011

All Science Journal Classification (ASJC) codes

Mathematics(all)

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10.4169/amer.math.monthly.118.04.291

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Integral apollonian packings

Abstract

All Science Journal Classification (ASJC) codes

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