Equidistribution of sequences associated with a-points of the derivatives of the Riemann zeta function
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866911199761793024 |
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| author | Murahara, Hideki Onozuka, Tomokazu |
| author_facet | Murahara, Hideki Onozuka, Tomokazu |
| contents | Fujii investigated the uniform distribution of various sequences associated with the non-trivial zeros of the Riemann zeta function by evaluating certain exponential sums over these zeros. In this paper, we present analogous results for a broader class of functions, establishing the uniform distribution of sequences arising from the $a$-points of the derivatives of the Riemann zeta function. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_07710 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Equidistribution of sequences associated with a-points of the derivatives of the Riemann zeta function Murahara, Hideki Onozuka, Tomokazu Number Theory 11M41 Fujii investigated the uniform distribution of various sequences associated with the non-trivial zeros of the Riemann zeta function by evaluating certain exponential sums over these zeros. In this paper, we present analogous results for a broader class of functions, establishing the uniform distribution of sequences arising from the $a$-points of the derivatives of the Riemann zeta function. |
| title | Equidistribution of sequences associated with a-points of the derivatives of the Riemann zeta function |
| topic | Number Theory 11M41 |
| url | https://arxiv.org/abs/2510.07710 |