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On the greatest common divisor of the value of two polynomials

Published 29 Aug 2016 in math.NT and math.AC | (1608.07936v1)

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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