Strong approximation in the Apollonian group

DOI10.1016/j.jnt.2011.05.010zbMath1259.11066OpenAlexW2063205914MaRDI QIDQ640861

Elena Fuchs

Publication date: 21 October 2011

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2011.05.010

zbMATH Keywords

Apollonian circle packingaffine sieve, congruence obstructionslocal to global

Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09) Discontinuous groups and automorphic forms (11F99) Lattice packing and covering (number-theoretic aspects) (11H31) Sequences (mod (m)) (11B50) Quadratic forms (reduction theory, extreme forms, etc.) (11H55) Circle packings and discrete conformal geometry (52C26) Arithmetic combinatorics; higher degree uniformity (11B30)

Related Items (7)

The Apollonian structure of Bianchi groups ⋮ Working session: Thin groups and super-approximation. Abstracts from the working session held October 10--15, 2021 (hybrid meeting) ⋮ Local-global principles in circle packings ⋮ Some Experiments with Integral Apollonian Circle Packings ⋮ From Apollonius to Zaremba: Local-global phenomena in thin orbits ⋮ Counting problems in Apollonian packings ⋮ Apollonian circle packings: dynamics and number theory

Cites Work

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