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v
t
e
L
-functions
in
number theory
Analytic examples
Riemann zeta function
Dirichlet
L
-functions
L
-functions of Hecke characters
Automorphic
L
-functions
Selberg class
Algebraic examples
Dedekind zeta functions
Artin
L
-functions
Hasse–Weil
L
-functions
Motivic
L
-functions
Theorems
Analytic class number formula
Riemann–von Mangoldt formula
Weil conjectures
Analytic conjectures
Riemann hypothesis
Generalized Riemann hypothesis
Lindelöf hypothesis
Ramanujan–Petersson conjecture
Artin conjecture
Algebraic conjectures
Birch and Swinnerton-Dyer conjecture
Deligne's conjecture
Beilinson conjectures
Bloch–Kato conjecture
Langlands conjecture
p
-adic
L
-functions
Main conjecture of Iwasawa theory
Selmer group
Euler system