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Fri
10/20/2017
4:00pm
Colloquium
The density of squarefree values taken by a polynomial
Manjul Bhargava, Princeton
Contact: John Duncan, john.duncan@emory.edu
Venue: Mathematics and Science Center, Room W201
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.