On the local-global principle for integral Apollonian 3-circle packings

DOI10.1515/crelle-2015-0042zbMath1477.11122arXiv1312.4650OpenAlexW2963947586MaRDI QIDQ1707508

Xin Zhang

Publication date: 3 April 2018

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.4650

zbMATH Keywords

uniform spectral gapApollonian 3-circle packingscongruence towers

Mathematics Subject Classification ID

Lattice packing and covering (number-theoretic aspects) (11H31) Circle packings and discrete conformal geometry (52C26)

Related Items (2)

Local-global principles in circle packings ⋮ Logarithmic diameter bounds for some Cayley graphs

Cites Work

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• Apollonian circle packings and closed horospheres on hyperbolic 3-manifolds
• A proof of the positive density conjecture for integer Apollonian circle packings
• On the Besicovitch Dimension of the Residual Set of Arbitrarily Packed Disks in the Plane
• The Bowl of Integers and the Hexlet

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