# News & Events

## Seminar

Date/Time:
Friday, June 3, 2016 - 11:00 to 12:00
Venue:
Seminar Room, SMS
Speaker:
Dr. Prem Prakash Pandey
Affiliation:
Title:
Square free values of polynomials

It is conjectured that all separable polynomials with integers coefficients, under some local conditions, take infinitely many (in fact positive density of) square free values on integer arguments. But not a single polynomial of degree greater than $3$ is proven to exhibit this property. We report on some progress towards showing that cyclotomic polynomial$\Phi_{\ell}(X)$ take square free values with positive proportion".