+0

# what do I do!?

-1
126
3
+9

$$\boxed{ζ(s)=\sum_{k=1}^{∞}\frac{1}{k^s}}$$
Applying the analytic continuation of $$ζ(s)$$ over all complex numbers, define $$n$$ as all values of $$ζ(s)$$ that equal $$0$$

All values of $$n$$ that exhibit the property $$Im(n)≠0$$ are such that $$Re(n)=\frac{1}{2}$$. Is this claim true? If so, prove it, and if not, present a counter-example.

Sep 6, 2022

#1
+33343
+1

This is the Riemann hypothesis and no mathematician has yet either proven or disproved it!

Sep 6, 2022
#2
+9
0

My friend said I would get a million dollars if I solved it.

SundriedFrog  Sep 6, 2022
#3
+33343
0

Correct!  Search for the Clay Institute Millenium problems for the details.

Alan  Sep 7, 2022