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math.CA2011
Sarkozy's Theorem for P-Intersective Polynomials
Alex Rice
We define a necessary and sufficient condition on a polynomial to guarantee that every set of natural numbers of positive upper density contains a nonzero diff…
math.CA2011
Improved Bounds on Sarkozy's Theorem for Quadratic Polynomials
Mariah Hamel, Neil Lyall, Alex Rice
We extend the best known bound on the largest subset of {1,2,...,N} with no square differences to the largest possible class of quadratic polynomials.