On the lowest zero of Dedekind zeta function
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909707075059712 |
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| author | Kala, Sushant |
| author_facet | Kala, Sushant |
| contents | Let $ζ_K(s)$ denote the Dedekind zeta-function associated to a number field $K$. In this paper, we give an effective upper bound for the height of first non-trivial zero other than $1/2$ of $ζ_K(s)$ under the generalized Riemann hypothesis. This is a refinement of the earlier bound obtained by Omar Sami. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_10936 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the lowest zero of Dedekind zeta function Kala, Sushant Number Theory 11R42, 11M26 Let $ζ_K(s)$ denote the Dedekind zeta-function associated to a number field $K$. In this paper, we give an effective upper bound for the height of first non-trivial zero other than $1/2$ of $ζ_K(s)$ under the generalized Riemann hypothesis. This is a refinement of the earlier bound obtained by Omar Sami. |
| title | On the lowest zero of Dedekind zeta function |
| topic | Number Theory 11R42, 11M26 |
| url | https://arxiv.org/abs/2401.10936 |