On the error term and zeros of the Dedekind zeta function
On the error term and zeros of the Dedekind zeta function
| dc.contributor.author | Paul, Biplab | |
| dc.contributor.author | Sankaranarayanan, Ayyadurai | |
| dc.date.accessioned | 2022-03-27T04:08:43Z | |
| dc.date.available | 2022-03-27T04:08:43Z | |
| dc.date.issued | 2020-10-01 | |
| dc.description.abstract | Let K be a number field of degree k≥8. In this article, we investigate a certain density theorem for zeros of the Dedekind zeta function attached to K. In this context, our theorem strengthens a result of Heath-Brown. Further, we investigate an upper-bound of the error term for an ideal counting function attached to K. When K is a cyclotomic field, we prove a stronger upper-bound for this error term. | |
| dc.identifier.citation | Journal of Number Theory. v.215 | |
| dc.identifier.issn | 0022314X | |
| dc.identifier.uri | 10.1016/j.jnt.2020.02.006 | |
| dc.identifier.uri | https://www.sciencedirect.com/science/article/abs/pii/S0022314X20300652 | |
| dc.identifier.uri | https://dspace.uohyd.ac.in/handle/1/6515 | |
| dc.subject | Dedekind zeta function | |
| dc.subject | Error term | |
| dc.subject | Zero-density estimates | |
| dc.title | On the error term and zeros of the Dedekind zeta function | |
| dc.type | Journal. Article | |
| dspace.entity.type |
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