Speaker : | Dr. Hector Pasten (Queen's University, Canada) |
Title : | Squarefree values of polynomials and the ABC conjecture |
Time : | 2014-05-20 (Tue) 10:30 - 11:30 |
Place : | Seminar Room 617, Institute of Mathematics (NTU Campus) |
Abstract: | After the work of Granville, one knows that the ABC conjecture allows one to count asymptotically the number of squarefree values of polynomials on the integers. I will discuss some recent developments on this problem, such as obtaining an error term for this counting problem, and counting squarefree values of polynomials attained at prime numbers. |