Statements (30)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:associatedWith |
automorphic forms
Galois representations |
| gptkbp:conjecturedProperty |
analytic continuation
functional equation special values related to arithmetic invariants |
| gptkbp:definedIn |
gptkb:Euler_product
|
| gptkbp:field |
number theory
|
| gptkbp:generalizes |
gptkb:Artin_L-functions
gptkb:Dirichlet_L-functions gptkb:Hasse–Weil_L-functions |
| https://www.w3.org/2000/01/rdf-schema#label |
motivic L-functions
|
| gptkbp:importantFor |
gptkb:Birch_and_Swinnerton-Dyer_conjecture
gptkb:Langlands_program gptkb:Tate_conjecture gptkb:Bloch–Kato_conjecture gptkb:Beilinson_conjectures arithmetic of algebraic varieties |
| gptkbp:introduced |
gptkb:Alexander_Grothendieck
|
| gptkbp:relatedTo |
gptkb:Hodge_theory
gptkb:Weil_conjectures gptkb:Lefschetz_trace_formula modular forms L-functions algebraic cycles motives zeta functions of varieties |
| gptkbp:studiedIn |
arithmetic geometry
|
| gptkbp:bfsParent |
gptkb:Langlands_correspondence
|
| gptkbp:bfsLayer |
5
|