MathCS Seminar

Title: The density of squarefree values taken by a polynomial
Colloquium: N/A
Speaker: Manjul Bhargava of Princeton
Contact: John Duncan, john.duncan@emory.edu
Date: 2017-10-20 at 4:00PM
Venue: W201
Abstract:
It is well known that the density of integers that are squarefree is $6/\pi^2$, giving one of the more intriguing occurrences of $\pi$ where one might not a priori expect it! A natural next problem that has played an important role in number theory is that of understanding the density of squarefree values taken by an integer polynomial. We survey a number of recent results on this problem for various types of polynomials - some of which use the ABC Conjecture'' and some of which do not.