<human>:  I have a question about the history of mathematical analysis. How did the idea of a Riemann zeta function come about?
<bot>: The Riemann hypothesis is a hypothesis about the distribution of prime numbers. It was first proposed by Bernhard Riemann in 1859. The Riemann hypothesis is a statement about the distribution of prime numbers. It states that all non-trivial zeros of the Riemann zeta function lie on the critical line.