Eisenstein polynomials over function fields
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Author(s)
Dotti, Edoardo
Micheli, Giacomo
Date Issued
October 2015
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
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).
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1007/s00200-015-0275-2
