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| Main Author: | |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2212.04421 |
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| _version_ | 1866916085775728640 |
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| author | Smith, Kevin |
| author_facet | Smith, Kevin |
| contents | It is well-known that upper bounds for moments of the Riemann zeta function $ζ(s)$ have implications for subconvexity bounds. In this paper we explore some implications in the opposite direction using functional analysis in the right-half of the critical strip. The main results characterise potential transitions in the behaviour of the moments. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_04421 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Implications of subconvexity bounds for the moments of zeta Smith, Kevin Number Theory It is well-known that upper bounds for moments of the Riemann zeta function $ζ(s)$ have implications for subconvexity bounds. In this paper we explore some implications in the opposite direction using functional analysis in the right-half of the critical strip. The main results characterise potential transitions in the behaviour of the moments. |
| title | Implications of subconvexity bounds for the moments of zeta |
| topic | Number Theory |
| url | https://arxiv.org/abs/2212.04421 |