Sum of primitive roots of unity
- Tolaso J Kos
- Administrator
- Posts: 867
- Joined: Sat Nov 07, 2015 6:12 pm
- Location: Larisa
- Contact:
Sum of primitive roots of unity
Let $\zeta_n$ be a primitive root of unity. Evaluate the sum:
$$\mathcal{S}= \sum_{\begin{subarray}{c} 1 \leq k \leq n \\
\gcd(k,n)=1\end{subarray}} \zeta^k_n$$
$$\mathcal{S}= \sum_{\begin{subarray}{c} 1 \leq k \leq n \\
\gcd(k,n)=1\end{subarray}} \zeta^k_n$$
Imagination is much more important than knowledge.
Create an account or sign in to join the discussion
You need to be a member in order to post a reply
Create an account
Not a member? register to join our community
Members can start their own topics & subscribe to topics
It’s free and only takes a minute
Sign in
Who is online
Users browsing this forum: No registered users and 3 guests