MATH 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: MSC W201 |
| Download Flyer |
| 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. |
See All Seminars