A. Walker

activity

20152024

most citedThe primes are not metric Poissonian

22 citations · 53 across the 11 of their papers we have counts for

collaborators

Showing 2017Show all

3 papers · 1 filter

math.NT2017★ 18 cited

Additive energy and the metric Poissonian property

Thomas F. Bloom, Sam Chow, Ayla Gafni +1

Let $A$ be a set of natural numbers. Recent work has suggested a strong link between the additive energy of $A$ (the number of solutions to $a_{1} + a_{2} = a_{3} + a_{4}$ with $a_{i} \in A$ …

math.NT2017★ 22 cited

The primes are not metric Poissonian

Aled Walker

It has been known since Vinogradov that, for irrational $α$ , the sequence of fractional parts ${α p}$ is equidistributed in $R / Z$ as $p$ ranges over primes. Ther…

math.NT2017★ 2 cited

Gowers norms control diophantine inequalities

Aled Walker

A central tool in the study of systems of linear equations with integer coefficients is the Generalised von Neumann Theorem of Green and Tao. This theorem reduces the task of count…