Estimates for the number of zeros of shifted combinations of completed Dirichlet series
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910287906471936 |
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| author | Ribeiro, Pedro |
| author_facet | Ribeiro, Pedro |
| contents | In a previous paper, Yakubovich and the author of this article proved that certain shifted combinations of completed Dirichlet series have infinitely many zeros on the critical line. Here we provide some lower bounds for the number of critical zeros of a subclass of shifted combinations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_02813 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Estimates for the number of zeros of shifted combinations of completed Dirichlet series Ribeiro, Pedro Number Theory Complex Variables In a previous paper, Yakubovich and the author of this article proved that certain shifted combinations of completed Dirichlet series have infinitely many zeros on the critical line. Here we provide some lower bounds for the number of critical zeros of a subclass of shifted combinations. |
| title | Estimates for the number of zeros of shifted combinations of completed Dirichlet series |
| topic | Number Theory Complex Variables |
| url | https://arxiv.org/abs/2401.02813 |