The conversation between human and AI assistant.
What is Riemann zeta function and why is it a big deal?
Can you elaborate on that connection between the zeros of the Riemann zeta function and prime numbers?
Sure, the Riemann Hypothesis states that all nontrivial zeros of the Riemann zeta function lie on the critical line, which is a vertical line in the complex plane that cuts the horizontal axis at 1/2. This hypothesis is intimately related to the distribution of prime numbers and there is currently no proof of it.