N. Lyall

activity

20062023

most citedDistance Graphs and sets of positive upper density in

R^{d}

13 citations · 43 across the 19 of their papers we have counts for

collaborators

Showing 2015 · math.NTShow all

2 papers · 2 filters

math.NT2015★ 1 cited

Distances and Trees in Dense Subsets of $Z^{d}$

Neil Lyall, Akos Magyar

In \cite{FKW} Katznelson and Weiss establish that all sufficiently large distances can always be attained between pairs of points from any given measurable subset of $R^{2}$ …

math.NT2015

Difference Sets and Polynomials

Neil Lyall, Alex Rice

We provide upper bounds on the largest subsets of ${1, 2, \dots, N}$ with no differences of the form $h_{1} (n_{1}) + \dots + h_{ℓ} (n_{ℓ})$ with $n_{i} \in N$ or $h_1(p_1)+\cdot…

Distances and Trees in Dense Subsets of Zd

Difference Sets and Polynomials

Distances and Trees in Dense Subsets of $Z^{d}$