Forbidden conductors and sequences of $\pm 1$s
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866908365913849856 |
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| author | Radziejewski, Maciej |
| author_facet | Radziejewski, Maciej |
| contents | We study "forbidden" conductors, i.e. numbers q > 0 satisfying algebraic criteria introduced by J. Kaczorowski, A. Perelli and M. Radziejewski [Acta Arith. 210 (2023), 1-21], that cannot be conductors of L-functions of degree 2 from the extended Selberg class. We show that the set of forbidden q is dense in the interval (0,4), solving a problem posed in [Acta Arith. 210 (2023), 1-21]. We also find positive points of accumulation of rational forbidden q. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_10385 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Forbidden conductors and sequences of $\pm 1$s Radziejewski, Maciej Number Theory 11M41, 11A55 We study "forbidden" conductors, i.e. numbers q > 0 satisfying algebraic criteria introduced by J. Kaczorowski, A. Perelli and M. Radziejewski [Acta Arith. 210 (2023), 1-21], that cannot be conductors of L-functions of degree 2 from the extended Selberg class. We show that the set of forbidden q is dense in the interval (0,4), solving a problem posed in [Acta Arith. 210 (2023), 1-21]. We also find positive points of accumulation of rational forbidden q. |
| title | Forbidden conductors and sequences of $\pm 1$s |
| topic | Number Theory 11M41, 11A55 |
| url | https://arxiv.org/abs/2408.10385 |