Statements (51)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:field |
number theory
|
| gptkbp:hasApplication |
gptkb:Birch_and_Swinnerton-Dyer_conjecture
gptkb:generalized_Riemann_hypothesis gptkb:modularity_theorem distribution of prime numbers Galois representations automorphic representations class number formula arithmetic of elliptic curves special values and residues |
| gptkbp:hasProperty |
analytic continuation
complex analytic function meromorphic function satisfies functional equation can be associated to Galois representations can be associated to algebraic varieties can be associated to automorphic forms can be associated to modular forms can be associated to motives can be associated to number fields often defined by Dirichlet series often has Euler product poles encode arithmetic information special values at integers zeros encode arithmetic information |
| https://www.w3.org/2000/01/rdf-schema#label |
L-Funktionen
|
| gptkbp:relatedTo |
gptkb:lion
gptkb:Artin_L-function gptkb:Hecke_L-function gptkb:Selberg_class gptkb:Hasse–Weil_L-function gptkb:Dedekind_zeta_function gptkb:Langlands_program gptkb:Riemann_zeta_function gptkb:Tate's_thesis gptkb:motivic_L-function modular forms automorphic forms |
| gptkbp:studiedBy |
gptkb:André_Weil
gptkb:Robert_Langlands gptkb:John_Tate gptkb:Bernhard_Riemann gptkb:Peter_Gustav_Lejeune_Dirichlet |
| gptkbp:usedIn |
algebraic number theory
analytic number theory arithmetic geometry |
| gptkbp:bfsParent |
gptkb:Analytische_Zahlentheorie
gptkb:Algebraische_Zahlentheorie gptkb:Satz_von_Dirichlet |
| gptkbp:bfsLayer |
6
|