Nic Fellini


Wednesday August 9, 2023
4:00 pm - 5:00 pm


Jeffery Hall, Room 222

Number Theory Seminar

Wednesday, August 9th, 2023

Time: 4:00 p.m.  Place: Jeffery Hall, Room 222

Speaker: Dominic Austria (Queen's University)

Title: Evaluating sums of arithmetic functions

Abstract: In the course of an ongoing research project I came across the curious sum: $\sum_{n\leq x} \frac{\lambda(n)}{\phi(d)}$ where $\lambda(n)$ is the Liouville lambda function and $\phi(n)$ is the usual Euler Totient function. I will discuss some of the various techniques used to study sums of such arithmetic functions using this example as the guiding tool.