Effective counting in sphere packings

MaRDI QIDQ6601491

Christopher Lutsko, Alex Kontorovich

Publication date: 10 September 2024

Published in: Journal of the Association for Mathematical Research (Search for Journal in Brave)

zbMATH Keywords

spectral theoryautomorphic representationsorbital counting

Mathematics Subject Classification ID

Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Primes represented by polynomials; other multiplicative structures of polynomial values (11N32)

Cites Work

• Title not available (Why is that?)
• Sector estimates for hyperbolic isometries
• Entropy, Hausdorff measures old and new, and limit sets of geometrically finite Kleinian groups
• The asymptotic distribution of lattice points in Euclidean and non-Euclidean spaces
• The limit set of a Fuchsian group
• Effective equidistribution of circles in the limit sets of Kleinian groups
• Spectral gap and exponential mixing on geometrically finite hyperbolic manifolds
• Matrix coefficients, counting and primes for orbits of geometrically finite groups
• Counting, mixing and equidistribution of horospheres in geometrically finite rank one locally symmetric manifolds
• Effective circle count for Apollonian packings and closed horospheres
• Representation theory of semisimple groups. An overview based on examples. With a new preface by the author.
• Almost prime Pythagorean triples in thin orbits
• Apollonian circle packings and closed horospheres on hyperbolic 3-manifolds
• The residual set dimension of the Apollonian packing
• From Apollonius to Zaremba: Local-global phenomena in thin orbits
• Geometry and arithmetic of crystallographic sphere packings
• On superintegral Kleinian sphere packings, bugs, and arithmetic groups
• Sarnak's spectral gap question

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