9 citations · 35 across the 6 of their papers we have counts for
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math.NT2009
Okutsu invariants and Newton polygons
Jordi Guardia, Jesus Montes, Enric Nart
Let K be a local field of characteristic zero, O its ring of integers and F(x) a monic irreducible polynomial with coefficients in O. K. Okutsu attached to F(x) certain primitive d…
math.NT2009★ 2 cited
Newton polygons and p-integral bases
Lhoussain El fadil, Jesus Montes, Enric Nart
Let p be a prime number. In this paper we use an old technique of Ore, based on Newton polygons, to construct in an efficient way p-integral bases of number fields defined by a p-r…
math.NT2009★ 9 cited
Higher Newton polygons and integral bases
J. Guardia, J. Montes, E. Nart
Let be a Dedekind domain, the fraction field, $\p$ a non-zero prime ideal of , and $K_\pp$ the completion of with respect to the $\p$-adic topology. At the input of…