[seqfan] Re: In the vein of 103314

[israel at math.ubc.ca]

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.

Cheers,
Robert

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.
>
>Regards,
>Max
>
>On Tue, Dec 19, 2017 at 4:24 PM, David Wilson <davidwwilson at comcast.net>
>wrote:
>
>> How many distinct values are taken on by a sum of n nth roots of 1?
>>
>>
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