阶乘的一个余数定理
A Remainder Theorem of Factorials
对新发现的阶乘余数定理给出了证明，同时给出了四个推论及其相应证明，通过实例介绍了这个阶乘定理及其推论的应用方法，并列举了这个定理在二次剩余的使用案例。
数学
数论阶乘排列二次剩余高次剩余
苏发旺.阶乘的一个余数定理[EB/OL].(2025-09-18)[2025-09-18].https://sinoxiv.napstic.cn/article/25173892.点此复制
This paper provides a proof for the newly discovered factorial remainder theorem, along with four corollaries and their respective proofs. It introduces the application methods of this factorial theorem and its corollaries through examples, and lists the application cases of this theorem in quadratic residues.This theorem has promising application prospects in quadratic residues and higher-order residues.
Number TheoryFactorialPermutationQuadratic ResidueHigher-Order Residue
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