A proof of a sumset conjecture of Erdős

DOI10.4007/annals.2019.189.2.4zbMath1407.05236arXiv1803.00498OpenAlexW2919772532WikidataQ63044133 ScholiaQ63044133MaRDI QIDQ1732988

Donald Robertson, Joel Moreira, Florian Karl Richter

Publication date: 26 March 2019

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.00498

zbMATH Keywords

almost periodic functionsultrafilterssum sets

Mathematics Subject Classification ID

Ramsey theory (05D10) Ergodic theory (37A99) Inner product spaces and their generalizations, Hilbert spaces (46C99) Inverse problems of additive number theory, including sumsets (11P70)

Related Items (13)

Interpolation sets and nilsequences ⋮ A dynamical proof of the van der Corput inequality ⋮ Partial word and equality problems and Banach densities ⋮ Subsets of virtually nilpotent groups with the SBM property ⋮ Almost all sets of nonnegative integers and their small perturbations are not sumsets ⋮ A NOTE ON AN ASYMPTOTIC VERSION OF A PROBLEM OF MAHLER ⋮ A generalization of van der Corput's difference theorem with applications to recurrence and multiple ergodic averages ⋮ Metric decomposability theorems on sets of integers ⋮ On Supra-SIM Sets of Natural Numbers ⋮ Notions of size in a semigroup: an update from a historical perspective ⋮ Stability in a group ⋮ The largest $(k,\ell )$-sum-free subsets ⋮ Pointwise ergodic theorems for higher levels of mixing

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Algebra in the Stone-Čech compactification. Theory and applications
• Ergodentheorie und fastperiodische Funktionen auf Halbgruppen
• Applications of almost periodic compactifications
• Multiple correlation sequences and nilsequences
• Uniformity seminorms on \(\ell^{\infty}\) and applications
• Sumset phenomenon in countable amenable groups
• Ergodic theorems. With a supplement by Antoine Brunel
• Sumsets contained in infinite sets of integers
• On density, translates, and pairwise sums of integers
• Compact right topological semigroups and generalizations of almost periodicity
• Pointwise theorems for amenable groups.
• Definable sets containing productsets in expansions of groups
• An ultrafilter approach to Jin's theorem
• The primes contain arbitrarily long arithmetic progressions
• On some types of functional spaces. A contribution to the theory of almost periodic functions
• The Banach–Tarski Paradox
• A Note on Sums of Primes
• Nil–Bohr sets of integers
• An arithmetic regularity lemma, associated counting lemma, and applications
• Sets of Recurrence of Z^m -Actions and Properties of Sets of Differences in Z^m
• The Weighted Pointwise Ergodic Theorem and the Individual Ergodic Theorem Along Subsequences
• A Survey of Problems in Combinatorial Number Theory
• Shorter Notes: Convergence of Averages of Point Transformations
• Pointwise convergence of ergodic averages for polynomial sequences of translations on a nilmanifold
• Dynamical Systems of Continuous Spectra
• Operator Theoretic Aspects of Ergodic Theory
• On a Sumset Conjecture of Erdős

This page was built for publication: A proof of a sumset conjecture of Erdős