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gptkbp:instanceOf
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gptkb:mathematical_concept
|
|
gptkbp:alsoKnownAs
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gptkb:Jacobi_theta_function
|
|
gptkbp:field
|
gptkb:Mathematics
|
|
gptkbp:generalizes
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gptkb:Riemann_theta_function
Siegel theta function
Theta series
|
|
gptkbp:hasApplication
|
gptkb:Statistical_mechanics
gptkb:signal_processing
gptkb:string_theory
gptkb:Quantum_mechanics
Cryptography
Mathematical physics
Combinatorics
|
|
gptkbp:hasEquation
|
Yes
|
|
gptkbp:hasFourierSeries
|
Yes
|
|
gptkbp:hasInfiniteProductRepresentation
|
Yes
|
|
gptkbp:hasModularTransformationProperty
|
Yes
|
|
gptkbp:hasSeriesRepresentation
|
Yes
|
|
gptkbp:hasSpecialCase
|
gptkb:Heaviside_step_function
gptkb:Riemann_theta_function
gptkb:Jacobi_theta_function
Modular theta function
|
|
gptkbp:hasSpecialValueAtZero
|
1
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Theta function
|
|
gptkbp:introduced
|
gptkb:Carl_Gustav_Jacobi
|
|
gptkbp:isEntireFunction
|
Yes
|
|
gptkbp:isEvenFunction
|
Yes
|
|
gptkbp:isQuasiPeriodic
|
Yes
|
|
gptkbp:namedAfter
|
Greek letter theta
|
|
gptkbp:parameter
|
z (complex variable)
q (nome)
tau (modular parameter)
|
|
gptkbp:periodicIn
|
Complex variable
|
|
gptkbp:relatedTo
|
gptkb:Modular_forms
Elliptic functions
Partition function
|
|
gptkbp:satisfies
|
Heat equation
|
|
gptkbp:usedIn
|
gptkb:Number_theory
gptkb:Algebraic_geometry
Complex analysis
|
|
gptkbp:bfsParent
|
gptkb:Automorphic_form
|
|
gptkbp:bfsLayer
|
5
|