Prime Gaps In The Gaussian Integers
Number Theory
2024-11-12 v1
Abstract
In this paper we create a definition for prime gaps in the Gaussian integers using a boxcar metric. From this we used numerical methods to derive an asymptotic upper bound for the gaps in this scenario, namely O(log^2|p_{n}|).
Keywords
Cite
@article{arxiv.2411.06783,
title = {Prime Gaps In The Gaussian Integers},
author = {Kyle Bradford and James Taylor and George Volz},
journal= {arXiv preprint arXiv:2411.06783},
year = {2024}
}