0
Take$$ \sum_{n=1}^{N} \mu(n)\mu(k-n)$$
where $\mu(n)$ is the Mobius function.
I'd like the answers to include a plot of the function for $k=1,2,...,N$ all on the same plot to see how different they are.
Why does a little change in $k$ create such a big change in the overall behavior of the fu...