Constellations in P^d

Details Constellations in P^d Constellations in P^d

2010-10-27

arxiv.org/abs/1010.5805v2

Mathematics

Number Theory

14 pages

Scientific paper

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 in general position in the sense that it has at most
one point on every coordinate hyperplane.

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