Statements (24)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
j-function
|
| gptkbp:field |
gptkb:mathematics
complex analysis modular forms number theory |
| gptkbp:hasFourierExpansion |
q-series
|
| gptkbp:hasInvariant |
gptkb:modular_group_SL(2,_Z)
|
| gptkbp:hasLaurentExpansionAtInfinity |
q^{-1} + 744 + 196884q + ...
|
| gptkbp:hasSingularityAt |
infinity
|
| https://www.w3.org/2000/01/rdf-schema#label |
modular j-invariant
|
| gptkbp:isGeneratorOf |
field of modular functions for SL(2, Z)
|
| gptkbp:isHolomorphicExceptAt |
infinity
|
| gptkbp:isMeromorphicOn |
upper half-plane
|
| gptkbp:mapType |
upper half-plane to complex numbers
|
| gptkbp:namedAfter |
gptkb:Carl_Gustav_Jacobi
|
| gptkbp:relatedTo |
gptkb:monstrous_moonshine
|
| gptkbp:usedIn |
modular functions
classification of elliptic curves complex multiplication theory |
| gptkbp:valueAt |
e^{2πi/3} equals 0
i equals 1728 |
| gptkbp:bfsParent |
gptkb:Creature
|
| gptkbp:bfsLayer |
5
|