Generalized Lindelöf Hypothesis
GPTKB entity
Statements (15)
Predicate | Object |
---|---|
gptkbp:instanceOf |
gptkb:mathematical_concept
|
gptkbp:concerns |
gptkb:Dirichlet_L-functions
|
gptkbp:field |
analytic number theory
|
https://www.w3.org/2000/01/rdf-schema#label |
Generalized Lindelöf Hypothesis
|
gptkbp:implies |
Lindelöf Hypothesis
subconvexity bound for L-functions subconvexity estimates for Dirichlet L-functions |
gptkbp:namedAfter |
gptkb:Ernst_Lindelöf
|
gptkbp:proposedBy |
early 20th century
|
gptkbp:relatedTo |
gptkb:Riemann_Hypothesis
Lindelöf Hypothesis |
gptkbp:statedIn |
For any Dirichlet L-function L(s,χ), L(1/2+it,χ) = o(t^ε) for any ε>0 as t→∞
|
gptkbp:status |
unproven
|
gptkbp:bfsParent |
gptkb:Generalized_Riemann_Hypothesis
|
gptkbp:bfsLayer |
5
|