Vinogradov's three primes theorem in the intersection of multiple Piatetski-Shapiro sets
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915609750536192 |
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| author | Li, Xiaotian Li, Jinjiang Zhang, Min |
| author_facet | Li, Xiaotian Li, Jinjiang Zhang, Min |
| contents | Vinogradov's three primes theorem indicates that, for every sufficiently large odd integer $N$, the equation $N=p_1+p_2+p_3$ is solvable in prime variables $p_1,p_2,p_3$. In this paper, it is proved that Vinogradov's three primes theorem still holds with three prime variables constrained in the intersection of multiple Piatetski-Shapiro sequences. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_07154 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Vinogradov's three primes theorem in the intersection of multiple Piatetski-Shapiro sets Li, Xiaotian Li, Jinjiang Zhang, Min Number Theory Vinogradov's three primes theorem indicates that, for every sufficiently large odd integer $N$, the equation $N=p_1+p_2+p_3$ is solvable in prime variables $p_1,p_2,p_3$. In this paper, it is proved that Vinogradov's three primes theorem still holds with three prime variables constrained in the intersection of multiple Piatetski-Shapiro sequences. |
| title | Vinogradov's three primes theorem in the intersection of multiple Piatetski-Shapiro sets |
| topic | Number Theory |
| url | https://arxiv.org/abs/2511.07154 |