Prime Gaps In The Gaussian Integers

2024/11/11 by Bradford, Kyle, Taylor, James, Volz, George
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2411.06783

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(log²|p_n|).

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