Prime Hasse principles via Diophantine second moments
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866917901086228480 |
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| author | Wang, Victor Y. |
| author_facet | Wang, Victor Y. |
| contents | We show that almost all primes $p\not\equiv \pm 4 \bmod{9}$ are sums of three cubes, assuming a conjecture due to Hooley, Manin, et al. on cubic fourfolds. This conjecture is approachable under standard statistical hypotheses on geometric families of $L$-functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_08674 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Prime Hasse principles via Diophantine second moments Wang, Victor Y. Number Theory Algebraic Geometry We show that almost all primes $p\not\equiv \pm 4 \bmod{9}$ are sums of three cubes, assuming a conjecture due to Hooley, Manin, et al. on cubic fourfolds. This conjecture is approachable under standard statistical hypotheses on geometric families of $L$-functions. |
| title | Prime Hasse principles via Diophantine second moments |
| topic | Number Theory Algebraic Geometry |
| url | https://arxiv.org/abs/2304.08674 |