Large values of derivatives of the Riemann zeta function on vertical homogeneous progressions
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866914105270468608 |
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| author | Yang, Qiyu Zhao, Shengbo |
| author_facet | Yang, Qiyu Zhao, Shengbo |
| contents | In this paper, we establish lower bounds for the maximum of derivatives of the Riemann zeta function on vertical homogeneous progressions. When the real part $σ$ lies within a suitable range, we show that the discrete case has a similar order of magnitude to the continuous case, using the resonance method. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_18576 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Large values of derivatives of the Riemann zeta function on vertical homogeneous progressions Yang, Qiyu Zhao, Shengbo Number Theory 11M06, 11N37 In this paper, we establish lower bounds for the maximum of derivatives of the Riemann zeta function on vertical homogeneous progressions. When the real part $σ$ lies within a suitable range, we show that the discrete case has a similar order of magnitude to the continuous case, using the resonance method. |
| title | Large values of derivatives of the Riemann zeta function on vertical homogeneous progressions |
| topic | Number Theory 11M06, 11N37 |
| url | https://arxiv.org/abs/2510.18576 |