Euler's pentagonal number theorem
GPTKB entity
Statements (15)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:describes |
generating function for partition function
|
| gptkbp:field |
number theory
|
| gptkbp:formedBy |
gptkb:Leonhard_Euler
1741 |
| https://www.w3.org/2000/01/rdf-schema#label |
Euler's pentagonal number theorem
|
| gptkbp:publishedIn |
gptkb:Commentarii_academiae_scientiarum_Petropolitanae
|
| gptkbp:relatedTo |
partition function
q-series pentagonal numbers |
| gptkbp:state |
the infinite product (1-x)(1-x^2)(1-x^3)... equals the sum over all integers k of (-1)^k x^{k(3k-1)/2}
|
| gptkbp:bfsParent |
gptkb:Euler,_Leonhard
gptkb:Euler gptkb:Leonard_Euler |
| gptkbp:bfsLayer |
7
|