Brian Cook

most citedTorsion points on elliptic curves with complex multiplication

8 citations · 9 across the 2 of their papers we have counts for

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math.NT2010★ 1 cited

On restricted arithmetic progressions over finite fields

Brian Cook, Akos Magyar

Let A be a subset of $\F_p^n$, the $n$ -dimensional linear space over the prime field $\F_p$ of size at least $\de N$ $(N = p^{n})$ , and let $S_{v} = P^{- 1} (v)$ be the level set of a homoge…

math.NT2010

Constellations in P^d

Brian Cook, Akos Magyar

Let A be a subset of positive relative upper density of P^d, the d-tuples of primes. We prove that A contains an affine copy of any finite set of lattice points E, as long as E is…

math.NT2009★ 8 cited

Torsion points on elliptic curves with complex multiplication

Pete L. Clark, Brian Cook, James Stankewicz

We present seven theorems on the structure of prime order torsion points on CM elliptic curves defined over number fields. The first three results refine bounds of Silverberg and P…