Squarefrees (and B-frees) in short intervals
Document Type
Lecture
Publication Date
2-28-2023
Abstract
In this talk I will discuss joint work with Ofir Gorodetsky and Sacha Mangerel in which we prove a central limit theorem for counts of squarefree integers in random short intervals. In fact closely related ideas allow one to prove a functional limit theorem — we show that a path formed by counting squarefrees in a random short interval tends to a fractional Brownian motion, a concept I’ll explain in the talk. I hope to also discuss the generalization of squarefrees to B-frees which was first introduced by Erdos and analogous limit theorems for B-frees.
Relational Format
presentation
Recommended Citation
Rogers, Brad, "Squarefrees (and B-frees) in short intervals" (2023). Algebra/Number Theory Seminar. 6.
https://egrove.olemiss.edu/math_algebra_number_theory/6
