Hardy–Ramanujan asymptotic formula
GPTKB entity
Statements (15)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
partition function
|
| gptkbp:describes |
asymptotic behavior of the partition function p(n)
|
| gptkbp:field |
number theory
|
| gptkbp:form |
p(n) ~ (1/(4n√3)) exp(π√(2n/3))
|
| https://www.w3.org/2000/01/rdf-schema#label |
Hardy–Ramanujan asymptotic formula
|
| gptkbp:influenced |
Rademacher's exact formula for p(n)
|
| gptkbp:namedAfter |
gptkb:G._H._Hardy
gptkb:Srinivasa_Ramanujan |
| gptkbp:publicationYear |
1918
|
| gptkbp:publishedIn |
gptkb:Proceedings_of_the_London_Mathematical_Society
|
| gptkbp:significance |
first precise asymptotic for partition numbers
|
| gptkbp:usedIn |
analytic number theory
|
| gptkbp:bfsParent |
gptkb:G._H._Hardy
|
| gptkbp:bfsLayer |
5
|