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math.NT2017★ 5 cited
Estimating the greatest common divisor of the value of two polynomials
Péter E. Frenkel, Gergely Zábrádi
Let be a fixed prime, and let stand for the exponent of in the prime factorization of the integer . Let and be two monic polynomials with integer coeffici…
math.NT2016★ 1 cited
On the greatest common divisor of the value of two polynomials
Péter E. Frenkel, József Pelikán
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…