h-Fold Sums from a Set with Few Products

DOI10.1137/090756041zbMath1221.11202arXiv0904.0718OpenAlexW2082893139MaRDI QIDQ5392906

Ernie Croot, Derrick N. Hart

Publication date: 15 April 2011

Published in: SIAM Journal on Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0904.0718

zbMATH Keywords

additive combinatoricsTarry-Escott problemErdős-Szemerédi conjecturesum-product inequalities

Mathematics Subject Classification ID

Other combinatorial number theory (11B75) Distribution functions associated with additive and positive multiplicative functions (11N60) Arithmetic combinatorics; higher degree uniformity (11B30)

Related Items (8)

Higher convexity and iterated sum sets ⋮ Few products, many h-fold sums ⋮ Pseudo-Boolean functions and the multiplicity of the zeros of polynomials ⋮ Vinogradov's mean value theorem via efficient congruencing ⋮ Vinogradov's mean value theorem via efficient congruencing. II ⋮ On the Multiplicity of the Zeros of Polynomials with Constrained Coefficients ⋮ POLYNOMIALS WITH MULTIPLE ROOTS AT 1 ⋮ On higher energy decompositions and the sum–product phenomenon

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