Generalized Ramanujan conjecture
GPTKB entity
Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:field |
number theory
|
| gptkbp:generalizes |
gptkb:Ramanujan–Petersson_conjecture
|
| https://www.w3.org/2000/01/rdf-schema#label |
Generalized Ramanujan conjecture
|
| gptkbp:implies |
bounds on Fourier coefficients of modular forms
bounds on eigenvalues of Hecke operators |
| gptkbp:namedAfter |
gptkb:Srinivasa_Ramanujan
|
| gptkbp:proposedBy |
gptkb:Atle_Selberg
gptkb:Robert_Langlands |
| gptkbp:provenBy |
GL(2) over function fields
GL(2) over number fields GL(n) over function fields (Lafforgue) |
| gptkbp:relatedTo |
gptkb:Langlands_program
modular forms representation theory automorphic forms |
| gptkbp:status |
open (in general)
|
| gptkbp:bfsParent |
gptkb:Automorphic_L-functions
|
| gptkbp:bfsLayer |
6
|