When the sieve works

DOI10.1215/00127094-3120891zbMath1326.11055arXiv1205.0413OpenAlexW3100178051MaRDI QIDQ498664

Kaisa Matomäki, Dimitris Koukoulopoulos, Andrew Granville

Publication date: 29 September 2015

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.0413

zbMATH Keywords

upper boundlower boundsieve methodadditive combinatoricsRankin's methodBalog-Szemeredi-Gowers theoremBleichenbacher's theoremcontinuous postage stamp problemRuzsa-Chang theorem

Mathematics Subject Classification ID

Sieves (11N35) Arithmetic combinatorics; higher degree uniformity (11B30)

Related Items (11)

On an almost all version of the Balog-Szemeredi-Gowers theorem ⋮ Real zeros of holomorphic Hecke cusp forms and sieving short intervals ⋮ When the sieve works. II ⋮ On signs of Fourier coefficients of Hecke-Maass cusp forms on 𝐺𝐿₃ ⋮ Sign changes of Hecke eigenvalues ⋮ Quadratic fields admitting elliptic curves with rational \(j\)-invariant and good reduction everywhere ⋮ ON THE MINIMAL NUMBER OF SMALL ELEMENTS GENERATING FINITE PRIME FIELDS ⋮ Joint equidistribution of CM points ⋮ Primality testing with Gaussian periods ⋮ The Duffin-Schaeffer conjecture with extra divergence ⋮ Variants of Khintchine's theorem in metric Diophantine approximation

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