On Prime Divisors of Polynomials

Abstract:

We use small Latin letters to denote the natural numbers which are also called numbers for simplicity, and p, q, s, t the prime numbers. Let

be an integral-valued and primitive polynomial which is a product of r (l ≤r ≤n) integral-valued, primitive and irreducible polynomials. The fixed divisor of (1) is assumed to be .