w_{n} is primitive root of unity of order n, w_{m} is primitive root of unity of order m,(adsbygoogle = window.adsbygoogle || []).push({});

all primitve roots of unity of order n are roots of Cyclotomic polynomials

phi_{n}(x) which is a minimal polynomial of all primitive roots of unity of order n ,

similarly, phi_{m}(y) is a minimal polynomial of all primitive roots of unity of order m ,

then, what is the minimal polynomial of (W_{n},w_{m}), if exists or no????

Thank you very much!! what book I can find some subject about primitve roots of unity.

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# Cyclotomic polynomials and primitive roots of unity

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