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The following are the current most viewed articles on Wikipedia within Wikipedia's Zeta and L-functions category. Think of it as a What's Hot list for Zeta and L-functions. More info »

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Rank Topic Wikipedia views
1 Riemann hypothesis 2,515 Sparkline of topic views for 2 weeks
2 Riemann zeta function 1,347 Sparkline of topic views for 2 weeks
3 Birch and Swinnerton-Dyer conjecture 382 Sparkline of topic views for 2 weeks
4 Basel problem 281 Sparkline of topic views for 2 weeks
5 Langlands program 223 Sparkline of topic views for 2 weeks
6 Polylogarithm 166 Sparkline of topic views for 2 weeks
7 L-function 110 Sparkline of topic views for 2 weeks
8 Apéry's constant 107 Sparkline of topic views for 2 weeks
9 Dirichlet series 93 Sparkline of topic views for 2 weeks
10 Weil conjectures 89 Sparkline of topic views for 2 weeks
11 Zeta function 88 Sparkline of topic views for 2 weeks
12 Dirichlet's theorem on arithmetic progressions 88 Sparkline of topic views for 2 weeks
13 Generalized Riemann hypothesis 86 Sparkline of topic views for 2 weeks
14 Dirichlet character 82 Sparkline of topic views for 2 weeks
15 Proof of the Euler product formula for the Riemann zeta function 77 Sparkline of topic views for 2 weeks
16 Explicit formula 76 Sparkline of topic views for 2 weeks
17 Dirichlet L-function 70 Sparkline of topic views for 2 weeks
18 Dirichlet eta function 66 Sparkline of topic views for 2 weeks
19 Euler product 58 Sparkline of topic views for 2 weeks
20 Ramanujan–Petersson conjecture 50 Sparkline of topic views for 2 weeks
21 Dirichlet beta function 50 Sparkline of topic views for 2 weeks
22 Hurwitz zeta function 49 Sparkline of topic views for 2 weeks
23 Zeta function regularization 48 Sparkline of topic views for 2 weeks
24 Hasse–Weil zeta function 43 Sparkline of topic views for 2 weeks
25 Multiplication theorem 37 Sparkline of topic views for 2 weeks
26 Riemann–Siegel formula 36 Sparkline of topic views for 2 weeks
27 Siegel zero 35 Sparkline of topic views for 2 weeks
28 Zeta constant 34 Sparkline of topic views for 2 weeks
29 Odlyzko–Schönhage algorithm 32 Sparkline of topic views for 2 weeks
30 Local zeta-function 31 Sparkline of topic views for 2 weeks
31 Hilbert–Pólya conjecture 30 Sparkline of topic views for 2 weeks
32 Zeta function universality 27 Sparkline of topic views for 2 weeks
33 Selberg zeta function 26 Sparkline of topic views for 2 weeks
34 Hecke character 25 Sparkline of topic views for 2 weeks
35 Lerch zeta function 24 Sparkline of topic views for 2 weeks
36 Eichler–Shimura congruence relation 24 Sparkline of topic views for 2 weeks
37 Artin L-function 23 Sparkline of topic views for 2 weeks
38 Special values of L-functions 23 Sparkline of topic views for 2 weeks
39 Equivariant L-function 22 Sparkline of topic views for 2 weeks
40 Functional equation (L-function) 21 Sparkline of topic views for 2 weeks
41 Riemann–Siegel theta function 20 Sparkline of topic views for 2 weeks
42 Dedekind zeta function 18 Sparkline of topic views for 2 weeks
43 Shimura variety 18 Sparkline of topic views for 2 weeks
44 Prime zeta function 17 Sparkline of topic views for 2 weeks
45 Lindelöf hypothesis 16 Sparkline of topic views for 2 weeks
46 Apéry's theorem 15 Sparkline of topic views for 2 weeks
47 Subgroup growth 14 Sparkline of topic views for 2 weeks
48 Ihara zeta function 13 Sparkline of topic views for 2 weeks
49 Li's criterion 13 Sparkline of topic views for 2 weeks
50 Riemann Xi function 12 Sparkline of topic views for 2 weeks
51 Brumer–Stark conjecture 12 Sparkline of topic views for 2 weeks
52 Riesz mean 11 Sparkline of topic views for 2 weeks
53 Clausen function 10 Sparkline of topic views for 2 weeks
54 Zeta function (operator) 10 Sparkline of topic views for 2 weeks
55 Stieltjes constants 9 Sparkline of topic views for 2 weeks
56 Multiple zeta function 9 Sparkline of topic views for 2 weeks
57 Shintani zeta function 9 Sparkline of topic views for 2 weeks
58 Rankin–Selberg method 9 Sparkline of topic views for 2 weeks
59 Riesz function 8 Sparkline of topic views for 2 weeks
60 P-adic L-function 8 Sparkline of topic views for 2 weeks
61 Rational zeta series 7 Sparkline of topic views for 2 weeks
62 ZetaGrid 7 Sparkline of topic views for 2 weeks
63 Montgomery's pair correlation conjecture 7 Sparkline of topic views for 2 weeks
64 Selberg class 6 Sparkline of topic views for 2 weeks
65 Goss zeta function 6 Sparkline of topic views for 2 weeks
66 Grand Riemann hypothesis less than 5 views
67 Artin–Mazur zeta function less than 5 views
68 Minakshisundaram-Pleijel zeta function less than 5 views
69 Airy zeta function less than 5 views
70 Chowla–Mordell theorem less than 5 views
71 Lefschetz zeta function less than 5 views
72 Fekete polynomial less than 5 views
73 Stark conjectures less than 5 views
74 Weil's criterion less than 5 views
75 Hadjicostas's formula less than 5 views
76 Barnes zeta function less than 5 views
77 Witten zeta function less than 5 views
78 Matsumoto zeta function less than 5 views

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Encyclopedia

From Wikipedia, the free encyclopedia

Zeta-functions and L-functions express important relations between the geometry of Riemann surfaces, number theory and dynamical systems. Zeta-functions, and their generalizations such as the Selberg class S, are conjectured to have various important properties, including generalizations of the Riemann hypothesis and various relationships with automorphic forms as well as to the representations of groups. The pursuit of the relationships comprises the Langlands program.

This category corresponds roughly to MSC 11M Zeta and L-functions: analytic theory in the American Mathematical Society's Mathematics Subject Classification.

Pages in category "Zeta and L-functions"

The following 72 pages are in this category, out of 72 total. This list may not reflect recent changes (learn more).

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