Long arithmetic progressions in sum-sets and the number x-sum-free sets

DOI10.1112/S0024611504015059zbMath1073.11008OpenAlexW2046580399MaRDI QIDQ4673045

Endre Szemerédi, Van H. Vu

Publication date: 29 April 2005

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

Full work available at URL: https://doi.org/10.1112/s0024611504015059

zbMATH Keywords

sum-setsum-free setlong arithmetic progressionFreiman inverse theorem

Mathematics Subject Classification ID

Goldbach-type theorems; other additive questions involving primes (11P32) Asymptotic enumeration (05A16) Arithmetic progressions (11B25) Inverse problems of additive number theory, including sumsets (11P70)

Related Items (8)

Approximate groups and doubling metrics ⋮ On a conjecture of Alon ⋮ A bipartite version of the Erdős–McKay conjecture ⋮ Long arithmetic progressions in sumsets: Thresholds and bounds ⋮ Structural approach to subset sum problems ⋮ Near optimal bounds in Freiman's theorem ⋮ Classification theorems for sumsets modulo a prime ⋮ Additive Combinatorics: With a View Towards Computer Science and Cryptography—An Exposition

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