Statements (29)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:analyticContinuation |
yes
|
| gptkbp:definedIn |
gptkb:Euler_product
infinite series |
| gptkbp:field |
number theory
|
| gptkbp:generalizes |
gptkb:Riemann_zeta_function
|
| gptkbp:hasConjecture |
gptkb:Generalized_Riemann_Hypothesis
|
| gptkbp:hasEquation |
yes
|
| gptkbp:hasEulerProduct |
yes
|
| gptkbp:hasNontrivialZeros |
yes
|
| gptkbp:hasSpecialCase |
gptkb:Riemann_zeta_function
L-function of trivial character |
| gptkbp:hasZeros |
yes
|
| https://www.w3.org/2000/01/rdf-schema#label |
Dirichlet-L-Funktionen
|
| gptkbp:input |
gptkb:lion
complex variable |
| gptkbp:namedAfter |
gptkb:Peter_Gustav_Lejeune_Dirichlet
|
| gptkbp:output |
complex number
|
| gptkbp:relatedTo |
gptkb:L-series
modular forms automorphic forms |
| gptkbp:studiedBy |
gptkb:Ernst_Eduard_Kummer
gptkb:Harold_Davenport gptkb:Bernhard_Riemann gptkb:Peter_Gustav_Lejeune_Dirichlet |
| gptkbp:usedIn |
analytic number theory
proof of Dirichlet's theorem on arithmetic progressions |
| gptkbp:bfsParent |
gptkb:Riemannsche_Vermutung
|
| gptkbp:bfsLayer |
7
|