Definition:Riemann Zeta Function/Historical Note
Historical Note on Riemann Zeta Function
The Riemann zeta function was discussed by Bernhard Riemann in his $1859$ article Ueber die Anzahl der Primzahlen under einer gegebenen Grösse.
In that paper he made several statements about that function.
All of the statements made in that paper have now been proved except for one.
The last remaining statement which has not been resolved is the Riemann Hypothesis.