30 citations · 95 across the 25 of their papers we have counts for
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math.NT2013★ 30 cited
Diophantine equations in the primes
Brian Cook, Ákos Magyar
Let be a system of polynomials with integer coefficients of degree in variables . For a giv…
math.NT2013★ 1 cited
Corners in dense subsets of P^d
Ákos Magyar, Tatchai Titichetrakun
Let $\PP^d$ be the -fold direct product of the set of primes. We prove that if is a subset of $\PP^d$ of positive relative upper density then contains infinitely many "c…
math.NT2013★ 5 cited
A Multidimensional Szemerédi Theorem in the primes
Brian Cook, Ákos Magyar, Tatchai Titichetrakun
Let be a subset of positive relative upper density of $\PP^d$, the -tuples of primes. We prove that contains an affine copy of any finite set $F\subs\Z^d$, which provide…