Is a bivariate polynomial with ±1 coefficients irreducible? Very likely

被引：4

作者：

Bary-Soroker, Lior ^{[1
]}

Kozma, Gady ^{[2
]}

机构：

[1] Tel Aviv Univ, Sch Math Sci, IL-6997801 Tel Aviv, Israel

[2] Weizmann Inst Sci, IL-76100 Rehovot, Israel

来源：

INTERNATIONAL JOURNAL OF NUMBER THEORY | 2017年 / 13卷 / 04期

基金：

以色列科学基金会;

关键词：

Irreducible polynomials; restricted coefficients; bivariate polynomials; probability;

D O I：

10.1142/S1793042117500488

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that the probability of a random polynomial in two variables of degree n and with +/- 1 coefficients to be irreducible tends to 1 as n -> infinity.

引用

页码：933 / 936

页数：4