Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:application |
gptkb:prime_number_theorem
multiplicative functions |
| gptkbp:coefficient |
a_n
|
| gptkbp:domainOfConvergence |
complex numbers
|
| gptkbp:example |
gptkb:lion
gptkb:Riemann_zeta_function |
| gptkbp:field |
gptkb:mathematics
analytic number theory |
| gptkbp:hasGeneralForm |
∑ a_n n^{-s}
|
| gptkbp:hasSpecialCase |
gptkb:general_Dirichlet_series
|
| https://www.w3.org/2000/01/rdf-schema#label |
ordinary Dirichlet series
|
| gptkbp:namedAfter |
gptkb:Peter_Gustav_Lejeune_Dirichlet
|
| gptkbp:property |
analytic continuation
absolute convergence conditional convergence abscissa of convergence |
| gptkbp:relatedIndex |
n
|
| gptkbp:usedIn |
study of L-functions
study of zeta functions |
| gptkbp:variant |
s
|
| gptkbp:bfsParent |
gptkb:lion
|
| gptkbp:bfsLayer |
4
|