Effective hybrid joint universality for Dirichlet $L$-functions and its application
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866908687095824384 |
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| author | Nakai, Keita |
| author_facet | Nakai, Keita |
| contents | In 2003, Garunkštis provided a lower bound for the lower density of the universality theorem for the Riemann zeta-function. In this paper, we generalize this result for the hybrid joint universality theorem for Dirichlet $L$-functions whose moduli are prime numbers. Furthermore, by its application, we estimate a lower bound of the lower density of the universality theorem for Hurwitz zeta-functions with rational parameters. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_02428 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Effective hybrid joint universality for Dirichlet $L$-functions and its application Nakai, Keita Number Theory 11M06, 11M35 In 2003, Garunkštis provided a lower bound for the lower density of the universality theorem for the Riemann zeta-function. In this paper, we generalize this result for the hybrid joint universality theorem for Dirichlet $L$-functions whose moduli are prime numbers. Furthermore, by its application, we estimate a lower bound of the lower density of the universality theorem for Hurwitz zeta-functions with rational parameters. |
| title | Effective hybrid joint universality for Dirichlet $L$-functions and its application |
| topic | Number Theory 11M06, 11M35 |
| url | https://arxiv.org/abs/2512.02428 |