An Extension of the Theorem on Primitive Divisors in Algebraic Number Fields

@inproceedings{Schinzel2010AnEO,
  title={An Extension of the Theorem on Primitive Divisors in Algebraic Number Fields},
  author={Andrzej Schinzel},
  year={2010}
}
The theorem about primitive divisors in algebraic number fields is generalized in the following manner. Let A, B be algebraic integers, (A, B) = 1 , AB ^ 0, A/B not a root of unity, and Çk a primitive root of unity of order k . For all sufficiently large n , the number A" C,kB" has a prime ideal factor that does not divide Am £,'kBm for arbitrary m < n and… CONTINUE READING