Joint Student Colloquium

Ertan Elma, Department of Pure Mathematics, University of Waterloo

"Perron's Formula"

The aim of this talk is to observe some connections between the Riemann zeta function and the prime numbers. While doing this, we will naturally touch Perron's formula which relates an arithmetical object to an analytic one. On one side of this formula, we will see a sum over natural numbers, on the other side, we will see an integral in the complex plane of a meromorphic function.

MC 5501