On the zeros of sum from n=1 to 00 of lambda_P(n)/n^s
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2018
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866917650531090432 |
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| author | Hilberdink, T. Saias, E. |
| author_facet | Hilberdink, T. Saias, E. |
| contents | Our main result is to answer a question of Michel Balazard by giving a Dirichlet series with only one zero in its half-plane of convergence. At the end of the paper we also give several sufficient conditions for the Generalized Riemann Hypothesis and ask if any of them are true. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1812_11880 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | On the zeros of sum from n=1 to 00 of lambda_P(n)/n^s Hilberdink, T. Saias, E. Number Theory 11M41, 11M06, 11M26 Our main result is to answer a question of Michel Balazard by giving a Dirichlet series with only one zero in its half-plane of convergence. At the end of the paper we also give several sufficient conditions for the Generalized Riemann Hypothesis and ask if any of them are true. |
| title | On the zeros of sum from n=1 to 00 of lambda_P(n)/n^s |
| topic | Number Theory 11M41, 11M06, 11M26 |
| url | https://arxiv.org/abs/1812.11880 |