Siegel Zeros and the Hardy-Littlewood Conjecture
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866914697044819968 |
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| author | Wang, Yunan |
| author_facet | Wang, Yunan |
| contents | In 2016, Fei \cite{fei2016application} established a bound on the Siegel zeros for real primitive Dirichlet characters modulo $q$, assuming the weak Hardy-Littlewood conjecture. Building on Fei's work, Jia \cite{jia2022conditional} demonstrated the same bound using a stronger version of the Hardy-Littlewood conjecture. In this paper, we present a slightly simplified approach to reprove their results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_19332 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Siegel Zeros and the Hardy-Littlewood Conjecture Wang, Yunan Number Theory In 2016, Fei \cite{fei2016application} established a bound on the Siegel zeros for real primitive Dirichlet characters modulo $q$, assuming the weak Hardy-Littlewood conjecture. Building on Fei's work, Jia \cite{jia2022conditional} demonstrated the same bound using a stronger version of the Hardy-Littlewood conjecture. In this paper, we present a slightly simplified approach to reprove their results. |
| title | Siegel Zeros and the Hardy-Littlewood Conjecture |
| topic | Number Theory |
| url | https://arxiv.org/abs/2402.19332 |