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

页码：159 / 168

页数：10

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