most citedNewton polygons of higher order in algebraic number theory

8 citations · 14 across the 2 of their papers we have counts for

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math.NT2008★ 6 cited

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

Jordi Guardia, Jesus Montes, Enric Nart

We 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 p…

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…