A short proof of a near-optimal cardinality estimate for the product of a sum set

DOI10.4230/LIPIcs.SOCG.2015.74zbMath1378.11020arXiv1502.05560OpenAlexW2963222519MaRDI QIDQ5368677

Oliver Roche-Newton

Publication date: 10 October 2017

Full work available at URL: https://arxiv.org/abs/1502.05560

zbMATH Keywords

Szemerédi-Trotter theoremsum-product estimatespinned distances

Mathematics Subject Classification ID

Arithmetic combinatorics; higher degree uniformity (11B30)

Related Items (7)

If \(A + A\) is small then \(AAA\) is superquadratic ⋮ Expanders with superquadratic growth ⋮ Convexity, superquadratic growth, and dot products ⋮ Some remarks on sets with small quotient set ⋮ NEW RESULTS ON SUM‐PRODUCT TYPE GROWTH OVER FIELDS ⋮ Differences of subgroups in subgroups ⋮ On the Use of the Klein Quadric for Geometric Incidence Problems in Two Dimensions

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