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20112023
most citedComputation on Elliptic Curves with Complex Multiplication

19 citations · 37 across the 20 of their papers we have counts for

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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.

math.NT2011

Polynomial Differences in the Primes

Neil Lyall, Alex Rice

We establish, utilizing the Hardy-Littlewood Circle Method, an asymptotic formula for the number of pairs of primes whose differences lie in the image of a fixed polynomial. We als…