The affine sieve

DOI10.1090/S0894-0347-2013-00764-XzbMath1283.20055arXiv1109.6432WikidataQ110907681 ScholiaQ110907681MaRDI QIDQ5326491

Alireza Salehi Golsefidy, Peter C. Sarnak

Publication date: 6 August 2013

Published in: Journal of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.6432

zbMATH Keywords

Zariski closuresexpander graphssum-product theoremsBrun sievesaffine linear sievesorbits of groups of transformations

Mathematics Subject Classification ID

Linear algebraic groups over adèles and other rings and schemes (20G35) Sieves (11N35)

Related Items

Schubert calculus and torsion explosion, Beyond expansion. II: Low-lying fundamental geodesics., Growth in finite simple groups of Lie type, Almost prime coordinates for anisotropic and thin Pythagorean orbits, Expansion in perfect groups., Arithmetic and dynamics on varieties of Markoff type, Composite values of shifted exponentials, Diophantine equations in the primes, Markoff triples and strong approximation, From Apollonius to Zaremba: Local-global phenomena in thin orbits, Counting problems in Apollonian packings, Super-approximation. II: The \(p\)-adic case and the case of bounded powers of square-free integers, Quantitative ergodic theorems and their number-theoretic applications, Apollonian circle packings: dynamics and number theory, On Toric Orbits in the Affine Sieve, Beyond expansion. III: reciprocal geodesics, Expander graphs in pure and applied mathematics, Logarithmic diameter bounds for some Cayley graphs

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