Course Information
Name:: Introduction to Number Theory
Course Type:: Regular
Professor:: Keith Conrad
Term:: Fall 2024
Credits:: 3
Content
- Norm (Quadratic Integers)
- Legendre Symbol
- Norm (Quadratic Integers)
- Note - Modified Division Algorithm
- Factoring into Primes in Quadratic Integers
- Theorem - Sum of Squares in the Integers
- Note - Quadratic Reciprocity Law and the Legendre Symbol
- Proof of Theorem about Primes as Sums of Squares
- Proof that the Field of Gaussian Integers has a Division Algorithm
- Proof of the Main Law of Quadratic Reciprocity
- Note - Proving Existence of Integral Solutions to General Pell’s Equation