Chennai Mathematical Institute

Seminars




12:00 noon
Irreducibility of generalised Schur Polynomials

Shanta Laishram

18-12-09


Abstract

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.





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