Fourier optimization, the least quadratic non-residue, and the least prime in an arithmetic progression
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
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| _version_ | 1866913986004385792 |
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| author | Carneiro, Emanuel Milinovich, Micah B. Quesada-Herrera, Emily Ramos, Antonio Pedro |
| author_facet | Carneiro, Emanuel Milinovich, Micah B. Quesada-Herrera, Emily Ramos, Antonio Pedro |
| contents | By means of a Fourier optimization framework, we improve the current asymptotic bounds under GRH for two classical problems in number theory: the problem of estimating the least quadratic non-residue modulo a prime, and the problem of estimating the least prime in an arithmetic progression. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_08380 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Fourier optimization, the least quadratic non-residue, and the least prime in an arithmetic progression Carneiro, Emanuel Milinovich, Micah B. Quesada-Herrera, Emily Ramos, Antonio Pedro Number Theory Classical Analysis and ODEs 11M06, 11M26, 11N13, 42A38, 65K05 By means of a Fourier optimization framework, we improve the current asymptotic bounds under GRH for two classical problems in number theory: the problem of estimating the least quadratic non-residue modulo a prime, and the problem of estimating the least prime in an arithmetic progression. |
| title | Fourier optimization, the least quadratic non-residue, and the least prime in an arithmetic progression |
| topic | Number Theory Classical Analysis and ODEs 11M06, 11M26, 11N13, 42A38, 65K05 |
| url | https://arxiv.org/abs/2404.08380 |