Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:application |
Used in analytic number theory
|
| gptkbp:category |
Infinite products
Prime numbers |
| gptkbp:defines |
An infinite product expansion of certain Dirichlet series over prime numbers
|
| gptkbp:describedYear |
18th century
|
| gptkbp:example |
The Euler product for the Riemann zeta function: ζ(s) = ∏_{p prime} (1 - p^{-s})^{-1}
|
| gptkbp:field |
gptkb:Number_theory
gptkb:Mathematical_analysis |
| gptkbp:firstDescribed |
gptkb:Leonhard_Euler
|
| https://www.w3.org/2000/01/rdf-schema#label |
Euler Products
|
| gptkbp:namedAfter |
gptkb:Leonhard_Euler
|
| gptkbp:property |
Expresses functions as products indexed by prime numbers
|
| gptkbp:relatedTo |
gptkb:Dirichlet_L-functions
gptkb:Riemann_zeta_function |
| gptkbp:bfsParent |
gptkb:Robert_Langlands
|
| gptkbp:bfsLayer |
4
|