12 citations · 12 across the 3 of their papers we have counts for
3 papers
math.AC2022
Factorization of skew polynomials over k((u))
Jérémy Le Borgne
Let be a perfect field of characteristic , and let be the field of Laurent series over . We study the skew polynomial ring , where is an end…
math.NT2012★ 12 cited
Some algorithms for skew polynomials over finite fields
Xavier Caruso, Jérémy Le Borgne
In this paper, we study the arithmetics of skew polynomial rings over finite fields, mostly from an algorithmic point of view. We give various algorithms for fast multiplication, d…
math.RT2011
Semi-characteristic polynomials, ϕ-modules and skew polynomials
Jérémy Le Borgne
We introduce the notion of semi-characteristic polynomial for a semi-linear map of a finite- dimensional vector space over a field of characteristic p. This polynomial has some pro…