activity
20052022
most citedOn higher energy decompositions and the sum-product phenomenon

29 citations · 64 across the 16 of their papers we have counts for

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Showing 2021Show all

3 papers · 1 filter

math.CO2021

Explicit RIP matrices: an update

Kevin Ford, Denka Kutzarova, George Shakan

Leveraging recent advances in additive combinatorics, we exhibit explicit matrices satisfying the Restricted Isometry Property with better parameters. Namely, for $\varepsilon=3.26…

math.NT2021★ 10 cited

Quantitative Hilbert irreducibility and almost prime values of polynomial discriminants

Theresa C. Anderson, Ayla Gafni, Robert J. Lemke Oliver +3

We study two polynomial counting questions in arithmetic statistics via a combination of Fourier analytic and arithmetic methods. First, we obtain new quantitative forms of Hilbert…

math.CO2021

Effective results on the size and structure of sumsets

Andrew Granville, George Shakan, Aled Walker

Let be a finite set. It is known that has a particular size ( for some ) and structure (all of the l…