Number Theory Topics

Important Notice: The Number Theory section is one of the first sections ever to be developed on Math Online and unfortunately is not up to par with the quality that the rest of the site provides. Regardless, most of the material posted is still readable but be on the look out for many mistakes. The pages in this hub will slowly be reviewed and edited for quality.

1. The Integers, Integer Division, Primes and Composites, and Linear Diophantine Equations

2. Modular Arithmetic, Congruences, Linear Congruences, Fermat's and Wilson's Theorem

3. The d, σ, and ϕ Functions

4. Quadratic Reciprocity

5. Binary Quadratic Forms

6. Arithmetic Functions and Dirichlet Convolutions

7. Approximation

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* Examples of Finding Remainders using Wilson's Theorem

Binary Quadratic Forms

Sums of Two Squares

Equivalence and Reduction of Binary Quadratic Forms

Arithmetic Functions

Dirichlet's Approximation of Real Numbers by Rational Numbers

Irrational Number Approximation

Algebraic Number Approximation

Irrational Numbers

Minkowski's Convex Body Theorem

Continued Fractions


  • 1. Underwood Dudley, "Elementary Number Theory Second Edition".
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