Eisenstein polynomials over function fields

• Main Authors: Dotti, Edoardo (Author), Micheli, Giacomo (Contributor)
• Other Authors: Massachusetts Institute of Technology. Department of Mathematics (Contributor)
• Format: Article
• Language: English
• Published: Springer-Verlag, 2016-06-21T20:00:36Z.
• Subjects: Article
• Online Access: Get fulltext

In this paper we compute the density of monic and non-monic Eisenstein polynomials of fixed degree having entries in an integrally closed subring of a function field over a finite field. This gives a function field analogue of results by Dubickas (Appl Algebra Eng Commun Comput 14(2):127-132, 2003) and by Heyman and Shparlinski (Appl Algebra Eng Commun Comput 24(2):149-156, 2013).
Swiss National Science Foundation (Grant Number 149716)
Swiss National Science Foundation (Grant Number 161757)
Armasuisse (Agency)