Effective Weak Universality in Short Intervals
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866915116668157952 |
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| author | Wananiyakul, Saeree Steuding, Jörn Rungtanapirom, Nithi |
| author_facet | Wananiyakul, Saeree Steuding, Jörn Rungtanapirom, Nithi |
| contents | We prove an effective universality theorem of the Riemann zeta-function in short intervals $[T,T+H]$ with $T^{\frac{27}{82}}\le H\le T$ by following an effective multidimensional $Ω$-result of Voronin. Furthermore, we also prove the results in short intervals $[T,T+H]$ with $T^ε\le H\le T$ (for any fixed $ε>0$) under the assumption of the Riemann Hypothesis. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_01787 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Effective Weak Universality in Short Intervals Wananiyakul, Saeree Steuding, Jörn Rungtanapirom, Nithi Number Theory Complex Variables 11M06 (Primary), 11M26, 30E10 (Secondary) We prove an effective universality theorem of the Riemann zeta-function in short intervals $[T,T+H]$ with $T^{\frac{27}{82}}\le H\le T$ by following an effective multidimensional $Ω$-result of Voronin. Furthermore, we also prove the results in short intervals $[T,T+H]$ with $T^ε\le H\le T$ (for any fixed $ε>0$) under the assumption of the Riemann Hypothesis. |
| title | Effective Weak Universality in Short Intervals |
| topic | Number Theory Complex Variables 11M06 (Primary), 11M26, 30E10 (Secondary) |
| url | https://arxiv.org/abs/2403.01787 |