Exploració per autor "Nart, Enric"
Ara es mostren els items 1-3 de 3
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Higher Newton polygons in the computation of discriminants and prime ideal decomposition in number fields
Guàrdia Rubies, Jordi; Montes Peral, Jesús; Nart, Enric (2011-12-01)
Article
Accés obertWe present an algorithm for computing discriminants and prime ideal decomposition in number fields. The algorithm is a refinement of a p-adic factorization method based on Newton polygons of higher order. The running-time ... -
Newton polygons of higher order in algebraic number theory
Guàrdia Rubies, Jordi; Montes Peral, Jesús; Nart, Enric (2012-01-10)
Article
Accés obertWe develop a theory of arithmetic Newton polygons of higher order, that provides the factorization of a separable polynomial over a p-adic eld, together with relevant arithmetic information about the elds generated by ... -
Single-factor lifting and factorization of polynomials over local fields
Guàrdia Rubies, Jordi; Nart, Enric; Pauli, S. (2012-11)
Article
Accés obertLet f (x) be a separable polynomial over a local field. The Montes algorithm computes certain approximations to the different irreducible factors of f (x), with strong arithmetic properties. In this paper, we develop an ...