On the Greatest Common Divisor of the Value of Two Polynomials

被引：5

作者：

Frenkel, Peter E. ^{[1
,2
]}

Pelikan, Jozsef ^{[1
]}

机构：

[1] Eotvos Unnvets, Dept Algebra & Number Theory, Pazmany Peter Setany 1-C, H-1117 Budapest, Hungary

[2] Hungarian Acad Sci, Renyi Inst Math, 13-15 Realtanodu Utca, H-1053 Budapest, Hungary

来源：

AMERICAN MATHEMATICAL MONTHLY | 2017年 / 124卷 / 05期

关键词：

D O I：

10.4169/amer.math.monthly.124.5.446

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that if two monic polynomials with integer coefficients have a square-free resultant, then all positive divisors of the resultant arise as the greatest common divisor of the values of the two polynomials at a suitable integer.

引用

页码：446 / 450

页数：5

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