关于二次剩余理论的注记
Notes on Theory of Quadratic Residues
摘要：
二次互易定律是由欧拉和勒让德提出的，他们都发现了一个不完整的证明。高斯称这一法律“Theorma Fundamentale”，他是第一个谁给了一个完整的证明，他还强调了他的提法与欧拉和Legrendre的等价性。在此笔记给出了一个概述的理论二次剩余使用经典的方法与一些应用丢番图方程，如两个平方定理和勾股四联体。
英文摘要：
The Law of Quadratic Reciprocity was conjectured by Euler and Legendre who both found an incomplete proof. Gauss called this law "Theorema Fundamentale", and he was the first who gave a complete proof, he also highlighted the equivalence of his formulation with those of Euler and Legrendre. Hereby notes gives a overview of the Theory of Quadratic Residues using a classical approach with some application to Diophantine Equations, such as Two Square Theorem and Pythagorean Quadruplets.
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