Number theory deals with properties of the integers, rings of algebraic integers, and a variety of arithmetic objects such as elliptic curves. Many crowning achievements of the human intellect can be found in this beautiful branch of mathematics, with the tradition dating back to the ancient Greeks. The number theory community in the Pure Mathematics department at the University of Waterloo includes seven regular faculty members:
Andrés Chirre, Pontifical Catholic University of Peru
In this talk, we will discuss a well-known formula of Ramanujan and its relationship with the partial sums of the Möbius function. Under some conjectures, we analyze a finer structure of the involved terms. It is a joint work with Steven M. Gonek.