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Number Theory Seminar

Wednesday, August 9th, 2023

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

Speaker: Dominic Austria (³ÉÈË´óƬ)

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.