Student Number Theory Seminar

Sourabh Das, University of Waterloo

Tools in Analytic Number Theory

Analytic number theory provides several classical tools to explore the distribution of arithmetic functions, including the rearrangement of sums, generating series, and counting arguments. In this talk, we will use these techniques to investigate the distribution of h-free and h-full numbers, which play an important role in understanding the structure of integers. If time allows, we will extend our discussion to prove results about the distribution of the prime-counting ω-function over these subsets of integers. Designed as an introductory talk, this presentation will be accessible to anyone with a basic background in number theory.

MC 5403