Integral points on quadrics in three variables whose coordinates have few prime factors

DOI10.1007/s11856-010-0069-yzbMath1230.11045OpenAlexW2009895529MaRDI QIDQ607841

Liu, Jianya, Peter C. Sarnak

Publication date: 6 December 2010

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

Full work available at URL: https://doi.org/10.1007/s11856-010-0069-y

zbMATH Keywords

lattice pointsternary quadratic formaffine sieveuniform spectral gap

Mathematics Subject Classification ID

General ternary and quaternary quadratic forms; forms of more than two variables (11E20) Applications of sieve methods (11N36) Automorphic forms, one variable (11F12)

Related Items

Diophantine equations in semiprimes, Prime and almost prime integral points on principal homogeneous spaces, Almost prime coordinates for anisotropic and thin Pythagorean orbits, On forms in prime variables, On the saturation number for singular cubic surfaces, Integral points on quadrics with prime coordinates, Diophantine equations in the primes, Effective equidistribution of shears and applications, Lifting, restricting and sifting integral points on affine homogeneous varieties, Quantitative ergodic theorems and their number-theoretic applications, PRIME SOLUTIONS TO POLYNOMIAL EQUATIONS IN MANY VARIABLES AND DIFFERING DEGREES, Arithmetic purity of the Hardy-Littlewood property and geometric sieve for affine quadrics, Finite Saturation for Unirational Varieties, Levels of distribution and the affine sieve, The Möbius function and statistical mechanics, On the saturation number for cubic surfaces

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