Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:category |
L-functions
|
| gptkbp:definedIn |
gptkb:lion
|
| gptkbp:field |
number theory
|
| gptkbp:generalizes |
gptkb:Riemann_zeta_function
|
| gptkbp:hasAnalyticContinuation |
yes
|
| gptkbp:hasEquation |
yes
|
| gptkbp:hasSeriesRepresentation |
L(s, χ) = Σ_{n=1}^∞ χ(n)/n^s
|
| gptkbp:hasSpecialCase |
gptkb:Riemann_zeta_function
|
| https://www.w3.org/2000/01/rdf-schema#label |
Dirichlet L-series
|
| gptkbp:namedAfter |
gptkb:Peter_Gustav_Lejeune_Dirichlet
|
| gptkbp:relatedTo |
modular forms
automorphic forms |
| gptkbp:studiedIn |
19th century
|
| gptkbp:usedIn |
analytic number theory
proof of Dirichlet's theorem on arithmetic progressions |
| gptkbp:variant |
complex variable s
|
| gptkbp:bfsParent |
gptkb:lion
|
| gptkbp:bfsLayer |
4
|