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

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Showing 2015Show all

3 papers · 1 filter

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.CA2015

Simplices and sets of positive upper density in $R^{d}$

Lauren Huckaba, Neil Lyall, Akos Magyar

We prove an extension of Bourgain's theorem on pinned distances in measurable subset of $R^{2}$ of positive upper density, namely Theorem $1^{'}$ in [Bourgain, 1986], to…

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

Simplices and sets of positive upper density in Rd

Difference Sets and Polynomials

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

Simplices and sets of positive upper density in $R^{d}$