中国剩余定理在多项式理论中的应用

Application of the Chinese remainder theorem in polynomials

推导出中国剩余定理的多项式形式,利用中国剩余定理的多项式形式证明了拉格朗日插值公式的存在性和唯一性,并通过举例阐述了中国剩余定理在多项式理论中的部分应用。

In this paper,the polynomial form of the Chinese remainder theorem is derived,then the Lagrange interpolation formula is verified by the polynomial form of the Chinese remainder theorem,and the application of the Chinese remainder theorem in polynomials is illustrated by examples.