Question

To pre-algebra:
\[ \zeta(s) = \sum^\infty_{n=1} \frac{1}{n^s} \]
is the Riemann zeta function.

Answer 1

The analytic continuation of this function is the subject of the all famous Riemann hypothesis, which you may have heard of.

Answer 2

The exact formulation is to prove that every non-trivial zero of this function has real part 1/2.