Primes in almost all short intervals
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866909805450362880 |
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| author | Li, Runbo |
| author_facet | Li, Runbo |
| contents | The author sharpens a result of Jia (1996), showing that the interval $[n, n+n^{\frac{1}{21.5}+\varepsilon}]$ contains prime numbers for almost all $n$. Watt's mean value bound, a delicate sieve decomposition and more accurate estimates for integrals are used to good effect. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_05651 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Primes in almost all short intervals Li, Runbo Number Theory The author sharpens a result of Jia (1996), showing that the interval $[n, n+n^{\frac{1}{21.5}+\varepsilon}]$ contains prime numbers for almost all $n$. Watt's mean value bound, a delicate sieve decomposition and more accurate estimates for integrals are used to good effect. |
| title | Primes in almost all short intervals |
| topic | Number Theory |
| url | https://arxiv.org/abs/2407.05651 |