Euler Product Asymptotics for Dirichlet $L$-Functions
Fuente:
arXiv
Salvato in:
| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2019
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866916542127538176 |
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| author | Kaneko, Ikuya |
| author_facet | Kaneko, Ikuya |
| contents | Via the work of Ramanujan, we establish the asymptotic behaviour of partial Euler products for Dirichlet $L$-functions under the Generalised Riemann Hypothesis (GRH). Understanding the behaviour of Euler products on the critical line is called the Deep Riemann Hypothesis (DRH). This work manifests the relation between GRH and DRH. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1902_04203 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Euler Product Asymptotics for Dirichlet $L$-Functions Kaneko, Ikuya Number Theory 11M06 (primary), 11M26 (secondary) Via the work of Ramanujan, we establish the asymptotic behaviour of partial Euler products for Dirichlet $L$-functions under the Generalised Riemann Hypothesis (GRH). Understanding the behaviour of Euler products on the critical line is called the Deep Riemann Hypothesis (DRH). This work manifests the relation between GRH and DRH. |
| title | Euler Product Asymptotics for Dirichlet $L$-Functions |
| topic | Number Theory 11M06 (primary), 11M26 (secondary) |
| url | https://arxiv.org/abs/1902.04203 |