Prime Gaps In The Gaussian Integers
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866910693257641984 |
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| author | Bradford, Kyle Taylor, James Volz, George |
| author_facet | Bradford, Kyle Taylor, James Volz, George |
| contents | 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}|). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_06783 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Prime Gaps In The Gaussian Integers Bradford, Kyle Taylor, James Volz, George Number Theory 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}|). |
| title | Prime Gaps In The Gaussian Integers |
| topic | Number Theory |
| url | https://arxiv.org/abs/2411.06783 |