UCLA Olga Radko Endowed Math Circle

10/16/2022 -- Advanced 3: The Question of Abundance, a guest lecture by Prof. Paul Zeitz

There are many ways to characterize integers: primes versus composite, abundant versus deficient, even naughty versus nice. We will focus on the second of these, trying to make sense of the question, “what’s the probability an integer is abundant?” Exploring this question will compel us to think deeply about primes, and a menagerie of Greek letters, and even the question of naughty versus nice.