If A + A is small then AAA is superquadratic

Oliver Roche‐Newton, Ilya D. Shkredov

Type: Article

Publication Date: 2019-04-01

Citations: 5

DOI: https://doi.org/10.1016/j.jnt.2019.02.026

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Locations

Journal of Number Theory - View
arXiv (Cornell University) - View - PDF

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Works That Cite This (5)

Action	Title	Year	Authors
+	Higher convexity and iterated sum sets	2020	Brandon Hanson Oliver Roche‐Newton Misha Rudnev
+	New Expander Bounds from Affine Group Energy	2019	Oliver Roche‐Newton Audie Warren
+ PDF Chat	Higher Convexity and Iterated Sum Sets	2021	Brandon Hanson Oliver Roche‐Newton Misha Rudnev
+ PDF Chat	New Expander Bounds from Affine Group Energy	2020	Oliver Roche‐Newton Audie Warren
+ PDF Chat	Convexity, superquadratic growth, and dot products	2023	Brandon Hanson Oliver Roche‐Newton Steven Senger

Works Cited by This (13)

Action	Title	Year	Authors
+ PDF Chat	On the number of sums and products	1997	György Elekes
+	A short proof of a near-optimal cardinality estimate for the product of a sum set	2015	Oliver Roche‐Newton
+ PDF Chat	On the Minkowski distances and products of sum sets	2015	Oliver Roche‐Newton Misha Rudnev
+ PDF Chat	New Sum-Product Estimates for Real and Complex Numbers	2015	Antal Balog Oliver Roche‐Newton
+ PDF Chat	New proofs of Plünnecke-type estimates for product sets in groups	2012	Giorgis Petridis
+ PDF Chat	A sum-division estimate of reals	2010	Liangpan Li Jian Shen
+	Few sums, many products	2003	György Elekes Gy. Imre Z. Ruzsa
+	Bounding multiplicative energy by the sumset	2009	József Solymosi
+ PDF Chat	New Results for the Growth of Sets of Real Numbers	2015	Timothy G. F. Jones
+	Expanders with Superquadratic Growth	2017	Antal Balog Oliver Roche‐Newton Dmitry Zhelezov