A CONGRUENCE PROPERTY OF IRREDUCIBLE LAGUERRE POLYNOMIALS IN TWO VARIABLES

摘要

In this paper we introduce a version of multivariable Laguerre polynomials irreducible over the rationals. We also prove, for such polynomials in two variables, a congruence property, which is similar to the one obtained by Carlitz for the classical Laguerre polynomials in one variable.