多项式的函数复合：不可分解性、丢番图方程和缺项多项式
Functional composition of polynomials: indecomposability, Diophantine equations and lacunary polynomials
摘要：
本文从Ritt的经典定理出发，综述了多项式泛函分解的结果及其在丢番图方程中的应用。这包括多项式不可分解的充分条件、缺项多项式分解的研究和f（x）= g（y）型方程的有限性准则。
英文摘要：
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).
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
