Prime Numbers Irrational Numbers Modular Forms Pi Algebraic Geometry Zeta Functions L-functions Discrete Geometry Elliptic Functions Integer Solutions Diophantine Equations Puzzles Valuation Theory Quadratic Fields Conway's Theories Frobenius Traces Elliptic Curves Field Theory Theoretical Physics Divisor Theory Motivic L-functions Arithmetic Geometry Arithmetic Statistics Integer Factorization Riemann Hypothesis Perfect Squares Pythagorean Theorem Hecke Theory Conjectures Hecke Algebras Primes Prime Number Theorem G-functions Class Numbers Ergodic Theory k-Full Numbers Sequences Functional Equations Erdős Contributions Research Methods Erdős Problems Enumerative Combinatorics Character Theory Galois Theory Partition Theory Mock Theta Functions Factoring Langlands Program Concept of Zero Mersenne Primes Hecke Forms