Generalization of Bertrand's Postulate for Gaussian Primes
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2019
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| _version_ | 1866914938843299840 |
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| author | Das, Madhuparna |
| author_facet | Das, Madhuparna |
| contents | Bertrand's Postulate states about the prime distribution for the real numbers. The generalization of Bertrand's Postulate was proved by Das et al. [Arxiv 2018]. In this paper, we have formalized this idea for the Gaussian primes (or the primes on the complex plane). This result gives information about the prime distribution on the complex plane. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1901_07086 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Generalization of Bertrand's Postulate for Gaussian Primes Das, Madhuparna Number Theory 11A41, 11N05 Bertrand's Postulate states about the prime distribution for the real numbers. The generalization of Bertrand's Postulate was proved by Das et al. [Arxiv 2018]. In this paper, we have formalized this idea for the Gaussian primes (or the primes on the complex plane). This result gives information about the prime distribution on the complex plane. |
| title | Generalization of Bertrand's Postulate for Gaussian Primes |
| topic | Number Theory 11A41, 11N05 |
| url | https://arxiv.org/abs/1901.07086 |