M. Monge

activity

20092023

most citedTheseus: A Library for Differentiable Nonlinear Optimization

47 citations · 62 across the 14 of their papers we have counts for

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Showing 2011 · math.NTShow all

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math.NT2011

A family of Eisenstein polynomials generating totally ramified extensions, identification of extensions and construction of class fields

Maurizio Monge

Let $K$ be a local field with finite residue field, we define a normal form for Eisenstein polynomials depending on the choice of a uniformizer $π_{K}$ and of residue representatives…

math.NT2011

A characterization of Eisenstein polynomials generating cyclic extensions of degree $p^{2}$ and $p^{3}$ over an unramified $\kp$-adic field

Maurizio Monge

Let $p \neq = 2$ be a prime. We show a technique based on local class field theory and on the expansions of certain resultants which allows to recover very easily Lbekkouri's character…

A family of Eisenstein polynomials generating totally ramified extensions, identification of extensions and construction of class fields

A characterization of Eisenstein polynomials generating cyclic extensions of degree p2 and p3 over an unramified $\kp$-adic field

A characterization of Eisenstein polynomials generating cyclic extensions of degree $p^{2}$ and $p^{3}$ over an unramified $\kp$-adic field