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arXiv · 1608.07936

On the greatest common divisor of the value of two polynomials

Péter E. Frenkel·József Pelikán
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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.

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Péter E. Frenkel, József Pelikán. 2016-08-29. On the greatest common divisor of the value of two polynomials. https://arxiv.org/abs/1608.07936

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