A New Computational Approach to Ideal Theory in Number Fields

A construction for absolute values in polynomial rings

Saunders MacLane · Transactions of the American Mathematical Society · 1936 · 189 citations

Absolute Values, Ring Theory, Saunders Maclane +4

Computing Riemann–Roch Spaces in Algebraic Function Fields and Related Topics

Journal of Symbolic Computation · 2002 · 143 citations

Finite Field, Algebraic Function Fields, Algebraic Analysis +2

Newton polygons of higher order in algebraic number theory

Jordi Guàrdia, Jesús Sanz Montes, Enric Nart · Transactions of the American Mathematical Society · 2011 · 137 citations · Full text

Theory Of Computing, Geometry Of Number, Engineering +13

A construction for prime ideals as absolute values of an algebraic field

Saunders Mac Lane · Duke Mathematical Journal · 1936 · 69 citations

Absolute Values, Modern Algebra, Ring Theory +4

Higher Newton polygons in the computation of discriminants and prime ideal decomposition in number fields

Jordi Guàrdia, Jesús Sanz Montes, Enric Nart · Journal de Théorie des Nombres de Bordeaux · 2011 · 43 citations · Full text