On the greatest common divisor of the value of two polynomials

Autor:	Frenkel, Péter E., Pelikán, József
Rok vydání:	2016
Předmět:	Mathematics - Number Theory Mathematics - Commutative Algebra 11N32 11C08 11C20 11A05 13P15 12E05 15A03 15A21
Zdroj:	Amer. Math. Monthly 124 (2017), no. 5, 446--450
Druh dokumentu:	Working Paper
Popis:	We show that if two monic polynomials with integer coefficients have 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. Comment: 6 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1608.07936 Zobrazit plný text záznamu View this record from Arxiv