Chennai Mathematical Institute


12:00 noon
Irreducibility of generalised Schur Polynomials

Shanta Laishram



Schur's irreducibility result of 1929 has been generalized by many authors by using p-adic methods of Coleman and Filaseta. In this talk, I will give a survey of some of these results and prove some results on the irreducibility of family of generalised Hermite-Laguerre polynomials, combining p-adic methods with results from prime number theory and the greatest prime factor of the product of consecutive terms of an arithmetic progression.