On the irreducibility of a class of generalized Schur-type polynomials

Abstract:

Schur proved the irreducible of a class of polynomials over Q, which is re-proved by Coleman by using the method of p-adic Newton polygon. In this paper, also by using the tool of p-adic Newton polygon, and applying the local-global principle, we prove the irreducible of a class of generalized Schur-type polynomials over Q.