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Zeta and L-functions
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Zeta functions and L-functions are important concepts in number theory and have applications across various branches of mathematics, particularly in analytic number theory and algebraic geometry. ### Zeta Functions 1.
Table of contents
5k
87
Airy zeta function
Zeta and L-functions
59
Apéry's theorem
Zeta and L-functions
72
ArakawaâKaneko zeta function
Zeta and L-functions
75
Arithmetic zeta function
Zeta and L-functions
69
Artin L-function
Zeta and L-functions
62
Artin conductor
Zeta and L-functions
46
ArtinâMazur zeta function
Zeta and L-functions
58
Automorphic L-function
Zeta and L-functions
76
Barnes zeta function
Zeta and L-functions
71
Basel problem
Zeta and L-functions
60
Beurling zeta function
Zeta and L-functions
57
Birch and Swinnerton-Dyer conjecture
Zeta and L-functions
45
BrumerâStark conjecture
Zeta and L-functions
66
ChowlaâMordell theorem
Zeta and L-functions
34
Clausen function
Zeta and L-functions
22
Dedekind zeta function
Zeta and L-functions
17
Dirichlet's theorem on arithmetic progressions
Zeta and L-functions
54
Dirichlet L-function
Zeta and L-functions
72
Dirichlet beta function
Zeta and L-functions
22
Dirichlet character
Zeta and L-functions
34
Dirichlet eta function
Zeta and L-functions
20
Divisor function
Zeta and L-functions
56
Dwork conjecture
Zeta and L-functions
51
EichlerâShimura congruence relation
Zeta and L-functions
48
Equivariant L-function
Zeta and L-functions
63
Euler product
Zeta and L-functions
54
Explicit formulae for L-functions
Zeta and L-functions
56
FellerâTornier constant
Zeta and L-functions
45
Functional equation (L-function)
Zeta and L-functions
70
GanâGrossâPrasad conjecture
Zeta and L-functions
66
Generalized Riemann hypothesis
Zeta and L-functions
31
Goss zeta function
Zeta and L-functions
61
Grand Riemann hypothesis
Zeta and L-functions
29
Hadjicostas's formula
Zeta and L-functions
36
HardyâLittlewood zeta-function conjectures
Zeta and L-functions
32
HasseâWeil zeta function
Zeta and L-functions
54
Hecke character
Zeta and L-functions
38
Hideo Shimizu
Zeta and L-functions
44
HilbertâPĂłlya conjecture
Zeta and L-functions
28
Hurwitz zeta function
Zeta and L-functions
47
Igusa zeta function
Zeta and L-functions
66
L-function
Zeta and L-functions
56
Langlands program
Zeta and L-functions
75
LanglandsâDeligne local constant
Zeta and L-functions
44
Lefschetz zeta function
Zeta and L-functions
74
Lerch zeta function
Zeta and L-functions
23
Li's criterion
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69
Lindelöf hypothesis
Zeta and L-functions
63
List of zeta functions
Zeta and L-functions
32
Local Langlands conjectures
Zeta and L-functions
34
Local zeta function
Zeta and L-functions
51
Matsumoto zeta function
Zeta and L-functions
51
Montgomery's pair correlation conjecture
Zeta and L-functions
51
Motivic L-function
Zeta and L-functions
41
Multiple zeta function
Zeta and L-functions
60
P-adic L-function
Zeta and L-functions
39
Prime zeta function
Zeta and L-functions
47
Proof of the Euler product formula for the Riemann zeta function
Zeta and L-functions
43
Ramanujan tau function
Zeta and L-functions
67
RamanujanâPetersson conjecture
Zeta and L-functions
45
RankinâSelberg method
Zeta and L-functions
55
Riemann Xi function
Zeta and L-functions
41
Riemann hypothesis
Zeta and L-functions
22
Riemann zeta function
Zeta and L-functions
27
RiemannâSiegel formula
Zeta and L-functions
60
RiemannâSiegel theta function
Zeta and L-functions
70
Riesz function
Zeta and L-functions
32
Ruelle zeta function
Zeta and L-functions
71
Selberg's zeta function conjecture
Zeta and L-functions
44
Selberg class
Zeta and L-functions
43
Shimizu L-function
Zeta and L-functions
55
Shimura variety
Zeta and L-functions
79
Shintani zeta function
Zeta and L-functions
71
Siegel zero
Zeta and L-functions
57
Special values of L-functions
Zeta and L-functions
44
Standard L-function
Zeta and L-functions
72
Stieltjes constants
Zeta and L-functions
42
Subgroup growth
Zeta and L-functions
40
Tate's thesis
Zeta and L-functions
46
Turing's method
Zeta and L-functions
59
Waldspurger's theorem
Zeta and L-functions
56
Weil's criterion
Zeta and L-functions
67
Weil conjectures
Zeta and L-functions
76
Z function
Zeta and L-functions
46
ZetaGrid
Zeta and L-functions
64
Zeta function (operator)
Zeta and L-functions
45
Zeta function universality
Zeta and L-functions
57
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Special functions
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