I have problem with these two exercise:
1. Assume, that is a nth root of unity. Show: if , then is the root of the syclotomic polynomial .
( )
2. Show: if , then , where .
I have no idea how to begin with these, so any help would be nice.
I have problem with these two exercise:
1. Assume, that is a nth root of unity. Show: if , then is the root of the syclotomic polynomial .
( )
2. Show: if , then , where .
I have no idea how to begin with these, so any help would be nice.
Hints:
1. .
2. Clearly, is a root of . Prove that is also a root for every
Fernando Revilla