The Lindelöf Hypothesis for Zeta Zero Ordinates
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866909000340078592 |
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| author | Garunkštis, Ramūnas Sourmelidis, Athanasios Steuding, Jörn |
| author_facet | Garunkštis, Ramūnas Sourmelidis, Athanasios Steuding, Jörn |
| contents | We provide conditional and unconditional asymptotic formulae for the exponential sums $\sum_γ\,γ^{-iτ}$, where the summation is over the ordinates of the nontrivial zeros $ρ=β+iγ$ of the Riemann zeta-function. In particular, the obtained results are related to the Lindelöf Hypothesis for these ordinates (in the sense of Gonek et al. [10]). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_14228 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Lindelöf Hypothesis for Zeta Zero Ordinates Garunkštis, Ramūnas Sourmelidis, Athanasios Steuding, Jörn Number Theory We provide conditional and unconditional asymptotic formulae for the exponential sums $\sum_γ\,γ^{-iτ}$, where the summation is over the ordinates of the nontrivial zeros $ρ=β+iγ$ of the Riemann zeta-function. In particular, the obtained results are related to the Lindelöf Hypothesis for these ordinates (in the sense of Gonek et al. [10]). |
| title | The Lindelöf Hypothesis for Zeta Zero Ordinates |
| topic | Number Theory |
| url | https://arxiv.org/abs/2505.14228 |