Lifting, restricting and sifting integral points on affine homogeneous varieties

DOI10.1112/S0010437X12000516zbMath1307.11078arXiv1009.5217MaRDI QIDQ4911982

Alexander Gorodnik, Amos Nevo

Publication date: 20 March 2013

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.5217

zbMATH Keywords

liftinghomogeneous varietieseffective boundsrestrictingsifting

Mathematics Subject Classification ID

Congruences in many variables (11D79) Applications of sieve methods (11N36) Varieties over global fields (11G35) Primes represented by polynomials; other multiplicative structures of polynomial values (11N32)

Related Items (5)

Optimal strong approximation for quadrics over \(\mathbb{F}_q [t\)] ⋮ Quantitative ergodic theorems and their number-theoretic applications ⋮ Diophantine approximation with restricted numerators and denominators on semisimple groups ⋮ Apollonian circle packings: dynamics and number theory ⋮ Matrix coefficients, counting and primes for orbits of geometrically finite groups

Cites Work

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• On the construction of division chains in algebraic number rings,with applications to SL₂
• Number of Points of Varieties in Finite Fields

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