Notes on Universality in Short Intervals and Exponential Shifts
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866929692772139008 |
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| author | Andersson, Johan Garunkštis, Ramūnas Kačinskaitė, Roma Nakai, Keita Pańkowski, Łukasz Sourmelidis, Athanasios Steuding, Rasa Steuding, Jörn Wananiyakul, Saeree |
| author_facet | Andersson, Johan Garunkštis, Ramūnas Kačinskaitė, Roma Nakai, Keita Pańkowski, Łukasz Sourmelidis, Athanasios Steuding, Rasa Steuding, Jörn Wananiyakul, Saeree |
| contents | We improve a recent universality theorem for the Riemann zeta-function in short intervals due to Antanas Laurinčikas with respect to the length of these intervals. Moreover, we prove that the shifts can even have exponential growth. This research was initiated by two questions proposed by Laurin\v cikas in a problem session of a recent workshop on universality. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_04255 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Notes on Universality in Short Intervals and Exponential Shifts Andersson, Johan Garunkštis, Ramūnas Kačinskaitė, Roma Nakai, Keita Pańkowski, Łukasz Sourmelidis, Athanasios Steuding, Rasa Steuding, Jörn Wananiyakul, Saeree Number Theory 11M06 We improve a recent universality theorem for the Riemann zeta-function in short intervals due to Antanas Laurinčikas with respect to the length of these intervals. Moreover, we prove that the shifts can even have exponential growth. This research was initiated by two questions proposed by Laurin\v cikas in a problem session of a recent workshop on universality. |
| title | Notes on Universality in Short Intervals and Exponential Shifts |
| topic | Number Theory 11M06 |
| url | https://arxiv.org/abs/2312.04255 |