47 citations · 62 across the 14 of their papers we have counts for
6 papers · 1 filter
On wild extensions of a p-adic field
I. Del Corso, R. Dvornicich, M. Monge
In this paper we consider the problem of classifying the isomorphism classes of extensions of degree pk of a p-adic field, restricting to the case of extensions without intermediat…
A family of Eisenstein polynomials generating totally ramified extensions, identification of extensions and construction of class fields
Maurizio Monge
Let be a local field with finite residue field, we define a normal form for Eisenstein polynomials depending on the choice of a uniformizer and of residue representatives…
A characterization of Eisenstein polynomials generating cyclic extensions of degree and over an unramified $\kp$-adic field
Maurizio Monge
Let 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…
Determination of the number of isomorphism classes of extensions of a $\kp$-adic field
Maurizio Monge
We deduce a formula enumerating the isomorphism classes of extensions of a $\kp$-adic field with given ramification and inertia . The formula follows from a simple group…
On perfect hashing of numbers with sparse digit representation via multiplication by a constant
Maurizio Monge
Consider the set of vectors over a field having non-zero coefficients only in a fixed sparse set and multiplication defined by convolution, or the set of integers having non-zero d…
An equivalent of Kronecker's Theorem for powers of an Algebraic Number and Structure of Linear Recurrences of fixed length
Nevio Dubbini, Maurizio Monge
After defining a notion of -density, we provide for any real algebraic number an estimate of the smallest such that for each the set of vectors of the form $(t,tα,…