Strong approximation in the Apollonian group
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Publication:640861
DOI10.1016/j.jnt.2011.05.010zbMath1259.11066OpenAlexW2063205914MaRDI QIDQ640861
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
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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- Representation of integers by positive ternary quadratic forms and equidistribution of lattice points on ellipsoids
- Apollonian circle packings: Geometry and group theory. I: The Apollonian group
- Affine linear sieve, expanders, and sum-product
- Strong approximation for Zariski-dense subgroups of semi-simple algebraic groups
- Explicit constructions of graphs without short cycles and low density codes
- Apollonian circle packings: Number theory
- On sums of three squares.
- On the spectral gap for infinite index ``congruence subgroups of SL\(_2(\mathbb{Z})\)
- Apollonian circle packings and closed horospheres on hyperbolic 3-manifolds
- A proof of the positive density conjecture for integer Apollonian circle packings
- Hausdorff dimension and conformal dynamics, III: Computation of dimension
- Some Experiments with Integral Apollonian Circle Packings
- Endliche Gruppen I
- The Apollonian Packing of Circles
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