On a question of Erdős and Moser

  title={On a question of Erdős and Moser},
  author={Benny Sudakov and Endre Szemer{\'e}di and Van H. Vu},
  journal={Duke Mathematical Journal},
For two finite sets of real numbers A and B, one says that B is sum-free with respect to A if the sum set {b + b | b, b ∈ B, b 6= b} is disjoint from A. Forty years ago, Erdős and Moser posed the following question. Let A be a set of n real numbers. What is the size of the largest subset B of A which is sum-free with respect to A? In this paper, we show that any set A of n real numbers contains a set B of cardinality at least g(n) ln n which is sum-free with respect to A, where g(n) tends to… 

Sumfree sets in groups: a survey

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  • Jehanne Dousse
  • Mathematics
    Mathematical Proceedings of the Cambridge Philosophical Society
  • 2013
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The Erdős–Moser Sum-free Set Problem

  • T. Sanders
  • Mathematics
    Canadian Journal of Mathematics
  • 2019
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Quadratic Goldreich-Levin Theorems

  • Madhur TulsianiJ. Wolf
  • Computer Science, Mathematics
    2011 IEEE 52nd Annual Symposium on Foundations of Computer Science
  • 2011
Algorithmic versions of results from additive combinatorics used in Samorodnitsky's proof and a refined version of the inverse theorem for the Gowers $U^3$ norm over $\F_2^n$ or a function at distance 1/2 -- episilon from a codeword are given.



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