Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
binary operation
|
| gptkbp:appliesTo |
arithmetic functions
|
| gptkbp:category |
convolution
|
| gptkbp:defines |
(f * g)(n) = sum_{d|n} f(d)g(n/d)
|
| gptkbp:field |
number theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
Dirichlet convolution
|
| gptkbp:identityElement |
gptkb:Möbius_function_(for_constant_1_function)
delta function (where delta(1)=1, delta(n)=0 for n>1) |
| gptkbp:introduced |
gptkb:Peter_Gustav_Lejeune_Dirichlet
|
| gptkbp:notation |
(f * g)(n)
|
| gptkbp:property |
associative
commutative distributes over addition forms a commutative ring with unity on arithmetic functions |
| gptkbp:relatedTo |
gptkb:lion
gptkb:Möbius_inversion_formula multiplicative functions |
| gptkbp:usedIn |
algebraic number theory
analytic number theory |
| gptkbp:bfsParent |
gptkb:Peter_Gustav_Lejeune_Dirichlet
|
| gptkbp:bfsLayer |
5
|