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Genetics of polynomials over local fields
dc.contributor.author | Guàrdia Rubies, Jordi |
dc.contributor.author | Nart Vinyals, Enric |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada IV |
dc.date.accessioned | 2015-06-05T15:29:48Z |
dc.date.available | 2015-06-05T15:29:48Z |
dc.date.created | 2015 |
dc.date.issued | 2015 |
dc.identifier.citation | Guàrdia, J.; Nart, E. Genetics of polynomials over local fields. "Contemporary mathematics", 2015, vol. 637, p. 207-241. |
dc.identifier.issn | 0271-4132 |
dc.identifier.uri | http://hdl.handle.net/2117/28206 |
dc.description.abstract | Let (K, v) be a discrete valued field with valuation ring O, and let Ov be the completion of O with respect to the v-adic topology. In this paper we discuss the advantages of manipulating polynomials in Ov[x] on a computer by means of OM representations of prime (monic and irreducible) polynomials. An OM representation supports discrete data characterizing the Okutsu equivalence class of the prime polynomial. These discrete parameters are a kind of DNA sequence common to all individuals in the same Okutsu class, and they contain relevant arithmetic information about the polynomial and the extension of Kv that it determines |
dc.format.extent | 35 p. |
dc.language.iso | eng |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra |
dc.subject.lcsh | Polynomials |
dc.subject.lcsh | Algorithms |
dc.title | Genetics of polynomials over local fields |
dc.type | Article |
dc.subject.lemac | Polinomis |
dc.subject.lemac | Algorismes |
dc.contributor.group | Universitat Politècnica de Catalunya. TN - Grup de Recerca en Teoria de Nombres |
dc.identifier.doi | 10.1090/conm/637 |
dc.rights.access | Open Access |
local.identifier.drac | 15831694 |
dc.description.version | Postprint (author’s final draft) |
local.citation.author | Guàrdia, J.; Nart, E. |
local.citation.publicationName | Contemporary mathematics |
local.citation.volume | 637 |
local.citation.startingPage | 207 |
local.citation.endingPage | 241 |
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