Newton polygons of higher order in algebraic number theory
| dc.creator | Guardia, Jordi | |
| dc.creator | Montes, Jesus | |
| dc.creator | Nart, Enric | |
| dc.date | 2008-07-16 | |
| dc.date | 2008-10-31 | |
| dc.date.accessioned | 2026-07-07T10:14:01Z | |
| dc.date.available | 2026-07-07T10:14:01Z | |
| dc.description | We develop a theory of arithmetic Newton polygons of higher order, that provides the factorization of a separable polynomial over a $p$-adic field, together with relevant arithmetic information about the fields generated by the irreducible factors. This carries out a program suggested by Ø. Ore. As an application, we obtain fast algorithms to compute discriminants, prime ideal decomposition and integral bases of number fields. | |
| dc.description | In this version we correct some minor mistakes | |
| dc.identifier | https://arxiv.org/abs/0807.2620 | |
| dc.identifier | http://arxiv.org/abs/0807.2620 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/172737 | |
| dc.subject | Number Theory | |
| dc.subject | 11S15; 11R04; 11R29 | |
| dc.title | Newton polygons of higher order in algebraic number theory | |
| dc.type | text |