Kevin Ford

activity

19992023

most citedExplicit constructions of RIP matrices and related problems

180 citations · 357 across the 58 of their papers we have counts for

collaborators

Showing 2015 · math.NTShow all

3 papers · 2 filters

math.NT2015

On the smallest simultaneous power nonresidue modulo a prime

Kevin Ford, Moubariz Garaev, Sergei Konyagin

Let $p$ be a prime and $p_{1}, \dots, p_{r}$ be distinct prime divisors of $p - 1$ . We prove that the smallest positive integer $n$ which is a simultaneous $p_{1}, \dots, p_{r}$ -power nonresi…

math.NT2015

Chains of large gaps between primes

Kevin Ford, James Maynard, Terence Tao

Let $p_{n}$ denote the $n$ -th prime, and for any $k \geq 1$ and sufficiently large $X$ , define the quantity $$ G_k(X) := \max_{p_{n+k} \leq X} \min( p_{n+1}-p_n, \dots, p_{n+k}-p_{n+…

math.NT2015★ 2 cited

Simultaneous distribution of fractional parts of Riemann zeta zeros

Kevin Ford, Xianchang Meng, Alexandru Zaharescu

We investigate the simultaneous distribution of the fractional parts of ${α_{1} γ, α_{2} γ, \dots, α_{n} γ}$ , where $n \geq 2$ , $α_{1}$ , $α_{2}$ , $\dots$ , $α_{n}$ are fixed, distinct positive…