D. H. J. Polymath

most citedThe "bounded gaps between primes" Polymath project - a retrospective

13 citations · 15 across the 3 of their papers we have counts for

collaborators

3 papers

math.HO2014★ 13 cited

The "bounded gaps between primes" Polymath project - a retrospective

D. H. J. Polymath

For any $m \geq 1$ , let $H_{m}$ denote the quantity $H_{m} := lim inf_{n \to \infty} (p_{n + m} - p_{n})$ , where $p_{n}$ denotes the $n^{th}$ prime; thus for instance the twin p…

math.NT2014★ 2 cited

Variants of the Selberg sieve, and bounded intervals containing many primes

D. H. J. Polymath

For any $m \geq 1$ , let $H_{m}$ denote the quantity $lim inf_{n \to \infty} (p_{n + m} - p_{n})$ . A celebrated recent result of Zhang showed the finiteness of $H_{1}$ , with the explicit boun…

math.CO2010

Density Hales-Jewett and Moser numbers

D. H. J. Polymath

For any $n \geq 0$ and $k \geq 1$ , the \emph{density Hales-Jewett number} $c_{n, k}$ is defined as the size of the largest subset of the cube $[k]^{n}$ := ${1, ..., k}^{n}$ which contai…