Constellations in P^d
Number Theory
2010-11-16 v2 Classical Analysis and ODEs
Abstract
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.
Cite
@article{arxiv.1010.5805,
title = {Constellations in P^d},
author = {Brian Cook and Akos Magyar},
journal= {arXiv preprint arXiv:1010.5805},
year = {2010}
}
Comments
14 pages