So I'm a amateur mathematician and I was working with the Riemann Zeta Function and I was able to proof this identity. So I'm just wondering if this has already been proven before.
For S>0
So I realize my use of a sum might be kind of ambiguous, its trying to illustrate the polynomial that represents the sum of each consecutive power. For example the sum of m^2=n*(n+1)*(2*n+1)/2