On explicit estimates for $S(t)$, $S_1(t)$, and $\zeta(1/2+\mathrm{i}t)$ under the Riemann Hypothesis
| Autor: | Simonič, Aleksander |
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| Rok vydání: | 2020 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1016/j.jnt.2021.05.014 |
| Popis: | Assuming the Riemann Hypothesis, we provide explicit upper bounds for moduli of $S(t)$, $S_1(t)$, and $\zeta\left(1/2+\mathrm{i}t\right)$ while comparing them with recently proven unconditional ones. As a corollary we obtain a conditional explicit bound on gaps between consecutive zeros of the Riemann zeta-function. Comment: 21 pages |
| Databáze: | arXiv |
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