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gptkbp:instanceOf
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gptkb:mathematical_concept
modular group
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gptkbp:appearsIn
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elliptic functions
L-functions
modular forms theory
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gptkbp:definedIn
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upper half-plane
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gptkbp:field
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gptkb:mathematics
complex analysis
number theory
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gptkbp:firstDefined
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gptkb:Gotthold_Eisenstein
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gptkbp:generalizes
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gptkb:Hilbert_Eisenstein_series
gptkb:Maass_forms
gptkb:Siegel_Eisenstein_series
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gptkbp:hasApplication
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partition function
zeta functions
automorphic representations
modular forms classification
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gptkbp:hasEquation
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yes
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gptkbp:hasFourierExpansion
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yes
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gptkbp:hasSpecialCase
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classical Eisenstein series
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gptkbp:heldBy
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eigenfunction of Hecke operators
holomorphic for k > 2
non-cuspidal modular form
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|
https://www.w3.org/2000/01/rdf-schema#label
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Eisenstein series
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gptkbp:namedAfter
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gptkb:Gotthold_Eisenstein
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gptkbp:relatedTo
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Fourier series
automorphic forms
modular group
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gptkbp:satisfies
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modular invariance
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gptkbp:usedIn
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gptkb:Langlands_program
representation theory
theory of modular forms
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gptkbp:weight
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even integer k > 2
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gptkbp:bfsParent
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gptkb:lion
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gptkbp:bfsLayer
|
4
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