Almost prime coordinates for anisotropic and thin Pythagorean orbits

DOI10.1007/s11856-015-1223-3zbMath1331.11084arXiv1401.4701OpenAlexW2253569706WikidataQ114221639 ScholiaQ114221639MaRDI QIDQ891162

Jiuzu Hong, Alex V. Kontorovich

Publication date: 16 November 2015

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.4701

zbMATH Keywords

upper boundquadratic formcritical exponentsaturation numberlinear groupalmost prime numberthin groupaffine sieveuniform spectral gapPythagorean orbitSelberg's eigenvalue conjectureZariski's closure

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) Discrete subgroups of Lie groups (22E40) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Applications of sieve methods (11N36) Generalized primes and integers (11N80)

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