On the greatest common divisor of the value of two polynomials
Number Theory
2017-05-30 v1 Commutative Algebra
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.
Keywords
Cite
@article{arxiv.1608.07936,
title = {On the greatest common divisor of the value of two polynomials},
author = {Péter E. Frenkel and József Pelikán},
journal= {arXiv preprint arXiv:1608.07936},
year = {2017}
}
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6 pages