+91-674-249-4082

Submitted by brundaban.sahu on 24 May, 2016 - 14:46

Date/Time:

Friday, June 3, 2016 - 11:00 to 12:00

Venue:

Seminar Room, SMS

Speaker:

Dr. Prem Prakash Pandey

Affiliation:

HRI, Allahabad

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".

**School of Mathematical Sciences**

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Tel: +91-674-249-4081

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