|
gptkbp:instanceOf
|
gptkb:mathematical_concept
|
|
gptkbp:field
|
gptkb:mathematics
complex analysis
elliptic functions
number theory
|
|
gptkbp:hasApplication
|
gptkb:quantum_field_theory
gptkb:signal_processing
gptkb:statistical_mechanics
gptkb:string_theory
gptkb:Abelian_varieties
cryptography
crystallography
heat conduction
integrable systems
mathematical physics
modular forms
quantum mechanics
soliton theory
partition theory
q-series
theory of partitions
modular equations
elliptic curve theory
lattice sums
solving heat equation
theta constants
theta identities
|
|
gptkbp:hasFourStandardForms
|
θ₁
θ₂
θ₃
θ₄
|
|
gptkbp:hasProductExpansion
|
infinite product
|
|
gptkbp:hasSeriesExpansion
|
Fourier series
|
|
gptkbp:hasTransformationProperty
|
modular transformation
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Jacobi theta function
|
|
gptkbp:namedAfter
|
gptkb:Carl_Gustav_Jacob_Jacobi
|
|
gptkbp:parameter
|
q
z
τ
|
|
gptkbp:periodicIn
|
z
|
|
gptkbp:quasiPeriodicIn
|
τ
|
|
gptkbp:relatedTo
|
gptkb:Riemann_theta_function
gptkb:Weierstrass_elliptic_function
modular group
|
|
gptkbp:satisfies
|
gptkb:heat_equation
|
|
gptkbp:usedIn
|
gptkb:statistical_mechanics
gptkb:string_theory
modular forms
partition theory
|
|
gptkbp:bfsParent
|
gptkb:Dedekind_eta_function
|
|
gptkbp:bfsLayer
|
5
|