Euler Product Sieve
Fuente:
arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866916270733000704 |
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| author | Liu, Di Matiyasevich, Yuri Oesterlé, Joseph Zaharescu, Alexandru |
| author_facet | Liu, Di Matiyasevich, Yuri Oesterlé, Joseph Zaharescu, Alexandru |
| contents | We study a class of approximations to the Riemann zeta function introduced earlier by the second author on the basis of Euler product. This allows us to justify Euler Product Sieve for generation of prime numbers.
Also we show that Bounded Riemann Hypothesis (stated in a paper by the fourth author) is equivalent to conjunction the Riemann Hypothesis + the simplicity of zeros.
16 pages. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_00786 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Euler Product Sieve Liu, Di Matiyasevich, Yuri Oesterlé, Joseph Zaharescu, Alexandru Number Theory 11M06, 11M26, 11N35 We study a class of approximations to the Riemann zeta function introduced earlier by the second author on the basis of Euler product. This allows us to justify Euler Product Sieve for generation of prime numbers. Also we show that Bounded Riemann Hypothesis (stated in a paper by the fourth author) is equivalent to conjunction the Riemann Hypothesis + the simplicity of zeros. 16 pages. |
| title | Euler Product Sieve |
| topic | Number Theory 11M06, 11M26, 11N35 |
| url | https://arxiv.org/abs/2406.00786 |