- #1

Jhenrique

- 685

- 4

## Homework Statement

[tex]\sum_{x} x^k[/tex]

for k ∈ Q

## Homework Equations

[tex]\sum_{x} x=\frac{1}{2}x^2-\frac{1}{2}x[/tex][tex]\sum_{x} x^2=\frac{1}{3}x^3-\frac{1}{2}x^2+\frac{1}{6}x[/tex][tex]\sum_{x} x^{-1}=\Psi (x)[/tex]

## The Attempt at a Solution

I don't know. There isn't way to compute the antiderivative of any function and I haven't theoretical knowledge about discrete calculus.