• Newton polygons of higher order in algebraic number theory 

      Guàrdia Rubies, Jordi; Montes Peral, Jesús; Nart, Enric (2012-01-10)
      Article
      Accés obert
      We 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 obert
      Let 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 ...