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papers

Publications (16)

math.NT2016

Difference Sets and Polynomials

Neil Lyall, Alex Rice

math.CA2017

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

Lauren Huckaba, Neil Lyall, Akos Magyar

math.NT2014

A Quantitative Result on Diophantine Approximation for Intersective Polynomials

Neil Lyall, Alex Rice

math.CA2017

Product of simplices and sets of positive upper density in $\mathbb{R}^d$

Neil Lyall, Akos Magyar

math.CA2012

Improved Bounds on Sarkozy's Theorem for Quadratic Polynomials

Mariah Hamel, Neil Lyall, Alex Rice

math.CA2010

Polynomial Configurations in Difference Sets (Revised Version)

Neil Lyall, Akos Magyar

math.CA2010

Simultaneous Polynomial Recurrence

Neil Lyall, Akos Magyar

math.NT2013

A Purely Combinatorial Approach to Simultaneous Polynomial Recurrence Modulo 1

Ernie Croot, Neil Lyall, Alex Rice

math.NT2011

Polynomial Differences in the Primes

Neil Lyall, Alex Rice

math.NT2010

Arithmetic Structure in Sparse Difference Sets

Mariah Hamel, Neil Lyall, Katherine Thompson +1

math.NT2015

Polynomials and Primes in Generalized Arithmetic Progressions (Revised Version)

Ernie Croot, Neil Lyall, Alex Rice

math.NT2012

A new proof of Sarkozy's theorem

Neil Lyall

math.CA2006

Strongly singular Radon transforms on the Heisenberg group and folding singularities

Norberto Laghi, Neil Lyall

math.CA2006

Strongly singular integral operators associated to different quasi-norms on the Heisenberg group

Norberto Laghi, Neil Lyall

math.CA2010

An optimal version of Sarkozy's theorem

Neil Lyall, Akos Magyar

math.NT2019

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

Neil Lyall, Akos Magyar