Statements (24)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:category |
infinite series
|
| gptkbp:concerns |
sum of reciprocals of squares
|
| gptkbp:difficulty |
unsolved for decades before Euler
|
| gptkbp:EulerMethod |
use of infinite product for sine
|
| gptkbp:field |
mathematical analysis
number theory |
| gptkbp:firstPosedBy |
gptkb:Pietro_Mengoli
|
| gptkbp:form |
sum_{n=1}^∞ 1/n^2 = ?
|
| gptkbp:historicalSignificance |
early result in analytic number theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
Basel problem
|
| gptkbp:influenced |
development of zeta function theory
study of special values of zeta function |
| gptkbp:involves |
convergence of series
|
| gptkbp:namedAfter |
Basel
|
| gptkbp:relatedTo |
gptkb:Riemann_zeta_function
|
| gptkbp:solvedBy |
gptkb:Leonhard_Euler
π^2/6 |
| gptkbp:yearProposed |
1650
|
| gptkbp:yearSolved |
1734
|
| gptkbp:zetaFunctionValue |
ζ(2) = π^2/6
|
| gptkbp:bfsParent |
gptkb:Apéry's_constant
gptkb:Madhava-Leibniz_series |
| gptkbp:bfsLayer |
6
|