San Antonio, Texas

Fall 2020 - Number Theory

Resources

Handouts
Assignment Template (LaTeX)
GCDs
(Z/2nZ)x
Index Plot
A Combinatorial Interpretation of (a/p)
Gauss' Lemma Visualizer

Lectures
Divisibility
GCDs
Bezout's Lemma
Linear Diophantine
Equations
The FTA
Canonical Forms and Divisibility
Distribution of the Primes
Congruences
Base b Representations
The Chinese Remainder Theorem
Groups and Fermat's Little Theorem
Pseudoprimes and Wilson's Theorem
Euler's Theorem
The Totient Function
Primitive Roots Modulo p
Primitive Roots Modulo Prime Powers
Indices and Power Residues
The Legendre Symbol
Quadratic Reciprocity
Polynomial Congruences
Intro. to Cryptography
The Knapsack Cryptosystem
The ElGamal Cryptosystem
Pythagorean Triples
Fermat's Last Theorem
Sums of Squares
Lagrange's Theorem
Base b Expansions of Rationals
Finite Continued Fractions
Infinite Continued Fractions

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