14 citations · 73 across the 17 of their papers we have counts for
4 papers · 1 filter
On the construction of irreducible polynomials over finite fields via prime degree endomorphisms of elliptic curves
Simone Ugolini
In this paper we present an iterative construction of irreducible polynomials over finite fields based upon repeated applications of transforms induced by endomorphisms of odd prim…
Functional graphs of rational maps induced by endomorphisms of ordinary elliptic curves over finite fields
Simone Ugolini
In this paper we study the dynamics of rational maps induced by endomorphisms of ordinary elliptic curves defined over finite fields.
Multiplicative subsemigroups of the positive integers closed with respect to the number of digits
Simone Ugolini
In this paper we present an alternative approach to a problem dealt with by Rosales et al. In particular, once a base for the representation of the integers is fixed, we descri…
On numerical semigroups closed with respect to the action of affine maps
Simone Ugolini
In this paper we study numerical semigroups containing a given positive integer and closed with respect to the action of an affine map. For such semigroups we find a minimal set of…