Chennai Mathematical Institute


3.30 p.m.
Irreducibility of polynomials via Newton Polygons

N. Saradha
TIFR, Mumbai.


In this talk we show how Newton Polygons can be used to prove the irreducibility of several classical orthogonal polynomials. Besides the Newton Polygons, another important ingredient used is the extensions of Sylvester's theorem on the greatest prime factor of a product of consecutive integers. Some of the recent results will also be given.