[seqfan] Re: In the vein of 103314

israel at math.ubc.ca israel at math.ubc.ca
Wed Dec 20 19:06:44 CET 2017

But the primitive roots are zeros of a polynomial of degree phi(n), namely 
the n'th cyclotomic polynomial. So they are not all distinct.


On Dec 20 2017, Max Alekseyev wrote:

>They all must be distinct as otherwise the n-th primitive root would be a
>zero of a polynomial of degree n-1.
>Hence, there are binomial(k+n-1,n-1) distinct values of k-term sums of nth
>roots of 1, for any k>=1.
>On Tue, Dec 19, 2017 at 4:24 PM, David Wilson <davidwwilson at comcast.net>
>> How many distinct values are taken on by a sum of n nth roots of 1?
>> --
>> Seqfan Mailing list - http://list.seqfan.eu/
>Seqfan Mailing list - http://list.seqfan.eu/

More information about the SeqFan mailing list