Eisenstein polynomials over function fields
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)...
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| Format: | Article |
| Language: | English |
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Springer-Verlag
2016
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| Online Access: | http://hdl.handle.net/1721.1/103176 |
| _version_ | 1811075472093609984 |
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| author | Dotti, Edoardo Micheli, Giacomo |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Dotti, Edoardo Micheli, Giacomo |
| author_sort | Dotti, Edoardo |
| collection | MIT |
| description | 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). |
| first_indexed | 2024-09-23T10:06:33Z |
| format | Article |
| id | mit-1721.1/103176 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T10:06:33Z |
| publishDate | 2016 |
| publisher | Springer-Verlag |
| record_format | dspace |
| spelling | mit-1721.1/1031762022-09-26T15:48:31Z Eisenstein polynomials over function fields Dotti, Edoardo Micheli, Giacomo Massachusetts Institute of Technology. Department of Mathematics Micheli, Giacomo 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) 2016-06-21T20:00:36Z 2017-03-01T16:14:49Z 2015-10 2015-10 2016-05-23T12:09:02Z Article http://purl.org/eprint/type/JournalArticle 0938-1279 1432-0622 http://hdl.handle.net/1721.1/103176 Dotti, Edoardo, and Giacomo Micheli. "Eisenstein polynomials over function fields." Applicable Algebra in Engineering, Communication and Computing (March 2016) 27:2, pp 159-168. en http://dx.doi.org/10.1007/s00200-015-0275-2 Applicable Algebra in Engineering, Communication and Computing 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. Springer-Verlag Berlin Heidelberg application/pdf Springer-Verlag Springer Berlin Heidelberg |
| spellingShingle | Dotti, Edoardo Micheli, Giacomo Eisenstein polynomials over function fields |
| title | Eisenstein polynomials over function fields |
| title_full | Eisenstein polynomials over function fields |
| title_fullStr | Eisenstein polynomials over function fields |
| title_full_unstemmed | Eisenstein polynomials over function fields |
| title_short | Eisenstein polynomials over function fields |
| title_sort | eisenstein polynomials over function fields |
| url | http://hdl.handle.net/1721.1/103176 |
| work_keys_str_mv | AT dottiedoardo eisensteinpolynomialsoverfunctionfields AT micheligiacomo eisensteinpolynomialsoverfunctionfields |