Statements (15)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:discoveredIn |
1829
|
| gptkbp:field |
gptkb:mathematics
complex analysis number theory |
| https://www.w3.org/2000/01/rdf-schema#label |
Jacobi triple product
|
| gptkbp:namedAfter |
gptkb:Carl_Gustav_Jacob_Jacobi
|
| gptkbp:publishedIn |
gptkb:Fundamenta_nova_theoriae_functionum_ellipticarum
|
| gptkbp:sentence |
For |q|<1 and z≠0, ∏_{n=1}^∞ (1 - q^{2n})(1 + zq^{2n-1})(1 + z^{-1}q^{2n-1}) = ∑_{n=-∞}^∞ z^n q^{n^2}
|
| gptkbp:usedIn |
partition theory
q-series theory of theta functions |
| gptkbp:bfsParent |
gptkb:Ramanujan_theta_function
gptkb:Q_series |
| gptkbp:bfsLayer |
6
|