Polynomial Differences in the Primes
Number Theory
2011-08-01 v2
Abstract
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 also include a generalization of this result where differences are replaced with any integer linear combination of two primes.
Cite
@article{arxiv.1103.5030,
title = {Polynomial Differences in the Primes},
author = {Neil Lyall and Alex Rice},
journal= {arXiv preprint arXiv:1103.5030},
year = {2011}
}
Comments
References added, some typos corrected