Euler's Criterion

Gauss Sum

Jacobi Prop 1

Jacobi Prop 2

Jacobi Symbol

Legendre Prop 3

Legendre Symbol

Legendre Symbol Properties

Lemma 3.1

Lemma 3.2

Quadratic Reciprocity of Jacobi

Quadratic Reciprocity of Legendre

Quadratic Residue

Square of Gauss Sum

Theorem 3.1