Statements (55)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
L-function
|
| gptkbp:appliesTo |
Galois representations
|
| gptkbp:developedBy |
gptkb:Emil_Artin
|
| gptkbp:hasAwards |
complex numbers
|
| gptkbp:hasRelatedPatent |
cryptography
|
| gptkbp:hasSpecialty |
analytic continuation
functional equation |
| https://www.w3.org/2000/01/rdf-schema#label |
Artin's L-functions
|
| gptkbp:isAssociatedWith |
Galois groups
|
| gptkbp:isCitedBy |
Artin_reciprocity_law
|
| gptkbp:isConnectedTo |
p-adic numbers
local fields modular forms Elliptic curves zeta functions automorphic forms cohomology theories modular forms and elliptic curves modular forms theory non-abelian class field theory |
| gptkbp:isRelatedTo |
gptkb:Langlands_program
gptkb:Riemann_Hypothesis gptkb:Fermat's_Last_Theorem Galois cohomology class number formula Hecke_L-functions Langlands_correspondence Mordell-Weil_theorem Taniyama-Shimura_conjecture |
| gptkbp:isStudiedIn |
field theory
representation theory mathematical logic algebraic number theory analytic number theory arithmetic topology modular representation theory |
| gptkbp:isUsedBy |
prove theorems in number theory
|
| gptkbp:isUsedIn |
modular arithmetic
algebraic topology class field theory arithmetic geometry computational number theory theory of motives analytic continuation techniques number-theoretic algorithms |
| gptkbp:isValuedFor |
abelian varieties
finite fields number fields Galois representations of number fields abelian extensions characters of Galois groups characters of finite groups |
| gptkbp:relatedTo |
number theory
|
| gptkbp:standardFeatures |
Dirichlet L-functions
|
| gptkbp:theory |
Artin_conjecture
|