Applying the Resonance Method to $\textrm{Re}\left(e^{-iθ}\logζ(σ+it)\right)$
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866913255480360960 |
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| author | Jaskari, Mikko |
| author_facet | Jaskari, Mikko |
| contents | We apply the resonance method to Montgomery's convolution formula for $\textrm{Re}\left(e^{-iθ}\logζ(σ+it)\right)$ in the strip $1/2 < σ< 1$. This gives new insight into maximal values of $\textrm{Re}\left(e^{-iθ}\logζ(σ+it)\right)$ for $t \in [T^β,T]$ for all $β\in (0,1)$ and real $θ$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_02344 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Applying the Resonance Method to $\textrm{Re}\left(e^{-iθ}\logζ(σ+it)\right)$ Jaskari, Mikko Number Theory We apply the resonance method to Montgomery's convolution formula for $\textrm{Re}\left(e^{-iθ}\logζ(σ+it)\right)$ in the strip $1/2 < σ< 1$. This gives new insight into maximal values of $\textrm{Re}\left(e^{-iθ}\logζ(σ+it)\right)$ for $t \in [T^β,T]$ for all $β\in (0,1)$ and real $θ$. |
| title | Applying the Resonance Method to $\textrm{Re}\left(e^{-iθ}\logζ(σ+it)\right)$ |
| topic | Number Theory |
| url | https://arxiv.org/abs/2307.02344 |