L-functions
- Riemann zeta function
- Basel problem on ζ(2)
- Hurwitz zeta function
- Bernoulli number
- Agoh–Giuga conjecture
- Von Staudt–Clausen theorem
- Dirichlet series
- Euler product
- Prime number theorem
- Prime-counting function
- Offset logarithmic integral
- Legendre's constant
- Skewes' number
- Bertrand's postulate
- Proof of Bertrand's postulate
- Proof that the sum of the reciprocals of the primes diverges
- Cramér's conjecture
- Riemann hypothesis
- Critical line theorem
- Hilbert–Pólya conjecture
- Generalized Riemann hypothesis
- Mertens function, Mertens conjecture, Meissel–Mertens constant
- De Bruijn–Newman constant
- Dirichlet character
- Dirichlet L-series
- Siegel zero
- Dirichlet's theorem on arithmetic progressions
- Linnik's theorem
- Elliott–Halberstam conjecture
- Functional equation (L-function)
- Chebotarev's density theorem
- Local zeta function
- Weil conjectures
- Modular form
- modular group
- Congruence subgroup
- Hecke operator
- Cusp form
- Eisenstein series
- Modular curve
- Ramanujan–Petersson conjecture
- Birch and Swinnerton-Dyer conjecture
- Automorphic form
- Selberg trace formula
- Artin conjecture
- Sato–Tate conjecture
- Langlands program
- modularity theorem
Read more about this topic: List Of Number Theory Topics