Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:Dirichlet_convolution
|
| gptkbp:field |
number theory
|
| gptkbp:firstPublished |
1832
|
| gptkbp:hasApplication |
gptkb:algebra
mathematical analysis combinatorics |
| https://www.w3.org/2000/01/rdf-schema#label |
Möbius inversion formula
|
| gptkbp:namedAfter |
gptkb:August_Ferdinand_Möbius
|
| gptkbp:relatedTo |
gptkb:Riemann_zeta_function
arithmetic functions multiplicative functions inclusion-exclusion principle |
| gptkbp:statedIn |
If g(n) = sum_{d|n} f(d), then f(n) = sum_{d|n} μ(d) g(n/d)
|
| gptkbp:usedFor |
inverting summatory functions
|
| gptkbp:uses |
gptkb:Möbius_function
|
| gptkbp:bfsParent |
gptkb:Möbius_function
gptkb:Dirichlet_convolution |
| gptkbp:bfsLayer |
6
|