On the greatest common divisor of the value of two polynomials

Abstract

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.

arXiv comment6 pages

Cited by in corpus (1)

• Estimating the greatest common divisor of the value of two polynomials