Shifted moments of the Riemann zeta function
Fuente:
arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866910704563388416 |
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| author | Ng, Nathan Shen, Quanli Wong, Peng-Jie |
| author_facet | Ng, Nathan Shen, Quanli Wong, Peng-Jie |
| contents | In this article, we prove that the Riemann hypothesis implies a conjecture of Chandee on shifted moments of the Riemann zeta function. The proof is based on ideas of Harper concerning sharp upper bounds for the $2k$-th moments of the Riemann zeta function on the critical line. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2206_03350 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Shifted moments of the Riemann zeta function Ng, Nathan Shen, Quanli Wong, Peng-Jie Number Theory 11M06, 11M41 In this article, we prove that the Riemann hypothesis implies a conjecture of Chandee on shifted moments of the Riemann zeta function. The proof is based on ideas of Harper concerning sharp upper bounds for the $2k$-th moments of the Riemann zeta function on the critical line. |
| title | Shifted moments of the Riemann zeta function |
| topic | Number Theory 11M06, 11M41 |
| url | https://arxiv.org/abs/2206.03350 |