Descriptions of areas/courses in number theory


The ABC Conjecture

Arithmetical Geometry

Fermat's Last Theorem

Irregular primes

Pell equations

Primes and factoring

Prime number theorem

Prime gaps

Sums of integer cubes

Twin primes

Elliptic Curves

Algebraic Number Theory

L-functions, Modular Forms, Automorphic Forms

Mahler measure

Analytic Number Theory

Computational Number Theory

Congruent Numbers

Well-known constants

Diophantine Approximation, Diophantine equations, Geometry of Numbers, Irrationality

Quadratic reciprocity

Squarefree numbers

Abundant numbers

Aliquot sequences, Perfect, Amicable numbers

Bell Numbers

Bernoulli Numbers

Congruences

Continued Fractions

3x+1

Primitive roots and Artin's conjecture

Fibonacci numbers

Function fields

Goldbach's Conjecture

Hall's Conjecture

Kurepa's Conjecture

The Riemann Hypothesis

Distribution Modulo 1

Number Theory and Cryptography

Introductory Number Theory

Extremal Functions in Fourier Analysis

Lehmer's Problem

Markov numbers

Practical numbers

PV numbers (Pisot-Vijayaraghavan and Salem numbers)

Quadratic forms

Binomial Coefficients

Equal Sums of Like Powers/Tarry Escott Problem

Integer Sequences, Well-known Functions

Eigenvalue conjecture

Number Theory Bibliography

Exponential sums

p-adic numbers

Partitions

Problems

Combinatorial number theory

Sieve theory

Carmichael numbers

Carmichael's conjecture

Catalan's conjecture

Class number

Various other numbers

Recreations in Number Theory

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Last modified 2nd December 2016