New developments toward the Gonek Conjecture on the Hurwitz zeta-function
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866913545789112320 |
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| author | Mine, Masahiro |
| author_facet | Mine, Masahiro |
| contents | In this paper, we prove a version of the universality theorem for the Hurwitz zeta-function in the case where the parameter is algebraic and irrational. Then we apply the result to show that many of such Hurwitz zeta-functions have infinitely many zeros in the right half of the critical strip. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_01262 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | New developments toward the Gonek Conjecture on the Hurwitz zeta-function Mine, Masahiro Number Theory Primary 11M35, Secondary 41A30 In this paper, we prove a version of the universality theorem for the Hurwitz zeta-function in the case where the parameter is algebraic and irrational. Then we apply the result to show that many of such Hurwitz zeta-functions have infinitely many zeros in the right half of the critical strip. |
| title | New developments toward the Gonek Conjecture on the Hurwitz zeta-function |
| topic | Number Theory Primary 11M35, Secondary 41A30 |
| url | https://arxiv.org/abs/2305.01262 |