Eisenstein polynomials over function fields

被引：2
|
作者：
Dotti, Edoardo [2 ]
Micheli, Giacomo [1 ]
机构：
[1] MIT, Dept Math, 77 Massachusetts Ave, Cambridge, MA 02139 USA
[2] Univ Zurich, Inst Math, Winterthurerstr 190, CH-8057 Zurich, Switzerland
来源：
APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING | 2016年 / 27卷 / 02期
基金：
瑞士国家科学基金会;
关键词：
Function fields; Density; Polynomials; Riemann-Roch spaces;
D O I：
10.1007/s00200-015-0275-2
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
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).
引用
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页码：159 / 168
页数：10
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