Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:affiliatedWith |
p-series
|
| gptkbp:alsoKnownAs |
gptkb:harmonic_series
|
| gptkbp:diverges |
true
|
| gptkbp:first_terms |
1
1/3 1/2 |
| gptkbp:hasGeneralTerm |
1/n
|
| https://www.w3.org/2000/01/rdf-schema#label |
harmonic series (p=1)
|
| gptkbp:namedAfter |
harmonics
|
| gptkbp:partialSumGrowth |
logarithmic
|
| gptkbp:pValue |
1
|
| gptkbp:relatedTo |
gptkb:Riemann_zeta_function
|
| gptkbp:sumExpression |
Σ_{n=1}^∞ 1/n
|
| gptkbp:testForDivergence |
comparison test
integral test |
| gptkbp:usedIn |
gptkb:probability_theory
analysis number theory |
| gptkbp:zetaFunctionValue |
diverges
ζ(1) |
| gptkbp:bfsParent |
gptkb:P-series
|
| gptkbp:bfsLayer |
8
|