Functional composition of polynomials: indecomposability, Diophantine equations and lacunary polynomials
arXiv:1503.05401
Abstract
Starting from Ritt's classical theorems, we give a survey of results in functional decomposition of polynomials and of applications in Diophantine equations. This includes sufficient conditions for the indecomposability of polynomials, the study of decompositions of lacunary polynomials and the finiteness criterion for the equations of type f(x) = g(y).
24 pages