When the sieve works. II

DOI10.1515/crelle-2018-0034zbMath1458.11139arXiv1509.02371OpenAlexW2962853200MaRDI QIDQ2187300

Kaisa Matomäki, Xuancheng Shao

Publication date: 2 June 2020

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.02371

zbMATH Keywords

sieve methodarithmetic removal lemmaBleichenbacher's theorem

Mathematics Subject Classification ID

Applications of sieve methods (11N36) Distribution of primes (11N05) Sieves (11N35)

Related Items (2)

Quadratic fields admitting elliptic curves with rational \(j\)-invariant and good reduction everywhere ⋮ ON THE MINIMAL NUMBER OF SMALL ELEMENTS GENERATING FINITE PRIME FIELDS

Cites Work

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• When the sieve works
• The structure of popular difference sets
• John-type theorems for generalized arithmetic progressions and iterated sumsets
• A combinatorial proof of the removal lemma for groups
• Estimates related to sumfree subsets of sets of integers
• The Brunn-Minkowski inequality and nonconvex sets
• Finite and infinite arithmetic progressions in sumsets
• A Szemerédi-type regularity lemma in abelian groups, with applications
• A proof of Green's conjecture regarding the removal properties of sets of linear equations
• Measures of the non-convexity of sets and the Shapley–Folkman–Starr theorem
• The symmetry preserving removal lemma
• Freiman's theorem in an arbitrary abelian group

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