Bounded gaps between primes in number fields and function fields
Number Theory
2014-03-25 v1
Abstract
The Hardy--Littlewood prime -tuples conjecture has long been thought to be completely unapproachable with current methods. While this sadly remains true, startling breakthroughs of Zhang, Maynard, and Tao have nevertheless made significant progress toward this problem. In this work, we extend the Maynard-Tao method to both number fields and the function field .
Keywords
Cite
@article{arxiv.1403.5808,
title = {Bounded gaps between primes in number fields and function fields},
author = {Abel Castillo and Chris Hall and Robert J. Lemke Oliver and Paul Pollack and Lola Thompson},
journal= {arXiv preprint arXiv:1403.5808},
year = {2014}
}