Nic Fellini
Date
Wednesday August 9, 20234:00 pm - 5:00 pm
Location
Jeffery Hall, Room 222Event Category
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.