Eisenstein polynomials over function fields

Author(s)
Dotti, Edoardo; Micheli, Giacomo
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Abstract
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).
Date issued
2015-10
URI
http://hdl.handle.net/1721.1/103176
Department
Massachusetts Institute of Technology. Department of Mathematics
Journal
Applicable Algebra in Engineering, Communication and Computing
Publisher
Springer-Verlag
Citation
Dotti, Edoardo, and Giacomo Micheli. "Eisenstein polynomials over function fields." Applicable Algebra in Engineering, Communication and Computing (March 2016) 27:2, pp 159-168.
Version: Author's final manuscript
ISSN
0938-1279
1432-0622
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