Statements (26)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
Delta function
|
| gptkbp:appearsIn |
j-invariant formula
|
| gptkbp:builtBy |
gptkb:Dedekind_eta_function
|
| gptkbp:definedIn |
gptkb:Upper_half-plane
|
| gptkbp:field |
gptkb:Number_theory
gptkb:Modular_forms |
| gptkbp:FourierExpansionBegins |
q - 24q^2 + 252q^3 - 1472q^4 + ...
|
| gptkbp:hasInvariant |
gptkb:SL(2,ℤ)
|
| gptkbp:heldBy |
A cusp form
A holomorphic function on upper half-plane A modular form of weight 12 |
| https://www.w3.org/2000/01/rdf-schema#label |
Modular discriminant
|
| gptkbp:level |
1
|
| gptkbp:nonzeroOn |
gptkb:Upper_half-plane
|
| gptkbp:q-expansion |
q∏_{n=1}^∞ (1-q^n)^{24}
|
| gptkbp:relatedTo |
gptkb:Dedekind_eta_function
|
| gptkbp:studiedBy |
gptkb:Richard_Dedekind
|
| gptkbp:symbol |
Δ
|
| gptkbp:usedIn |
gptkb:Theory_of_elliptic_curves
Theory of modular forms |
| gptkbp:vanishesOnlyAt |
Cusp at infinity
|
| gptkbp:weight |
12
|
| gptkbp:zeroAt |
Cusp at infinity
|
| gptkbp:bfsParent |
gptkb:Dedekind_eta_function
|
| gptkbp:bfsLayer |
5
|