most citedNewton polygons of higher order in algebraic number theory

8 citations

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2 papers

math.NT2010★ 6 cited

A new computational approach to ideal theory in number fields

Jordi Guardia, Jesus Montes, Enric Nart

Let be the number field determined by a monic irreducible polynomial with integer coefficients. In previous papers we parameterized the prime ideals of in terms of c…

math.NT2008★ 8 cited

Newton polygons of higher order in algebraic number theory

Jordi Guardia, Jesus Montes, Enric Nart

We develop a theory of arithmetic Newton polygons of higher order, that provides the factorization of a separable polynomial over a -adic field, together with relevant arithmeti…