Statements (15)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:Riemann_zeta_function
L-functions |
| gptkbp:describes |
Infinite product expansion of Dirichlet series
|
| gptkbp:expressedIn |
∑_{n=1}^∞ a_n n^{-s} = ∏_{p} (1 - a_p p^{-s})^{-1}
|
| gptkbp:field |
gptkb:Number_theory
|
| gptkbp:firstPublished |
1737
|
| https://www.w3.org/2000/01/rdf-schema#label |
Euler product
|
| gptkbp:namedAfter |
gptkb:Leonhard_Euler
|
| gptkbp:property |
Converges for Re(s) > 1 for Riemann zeta function
|
| gptkbp:relatedTo |
Prime numbers
|
| gptkbp:shows |
Connection between primes and zeta function
|
| gptkbp:usedIn |
gptkb:Analytic_number_theory
|
| gptkbp:bfsParent |
gptkb:lion
|
| gptkbp:bfsLayer |
4
|