@inproceedings{Schinzel2010AnEO, title={An Extension of the Theorem on Primitive Divisors in Algebraic Number Fields}, author={Andrzej Schinzel}, year={2010} }

- Published 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

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