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gptkbp:instanceOf
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gptkb:mathematical_concept
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gptkbp:category
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special functions
functions of a complex variable
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gptkbp:defines
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A function invariant under the action of a discrete group of Möbius transformations
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gptkbp:example
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gptkb:Eisenstein_series
modular function
theta function
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gptkbp:field
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gptkb:mathematics
complex analysis
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gptkbp:generalizes
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elliptic functions
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gptkbp:hasInvariant
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discrete group of Möbius transformations
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https://www.w3.org/2000/01/rdf-schema#label
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automorphic functions
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gptkbp:introduced
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gptkb:Henri_Poincaré
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gptkbp:introducedIn
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1881
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gptkbp:property
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invariant under group action
meromorphic on the upper half-plane
periodic with respect to a group of transformations
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gptkbp:relatedTo
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gptkb:Riemann_surfaces
gptkb:Fuchsian_groups
modular forms
automorphic forms
modular functions
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gptkbp:studiedBy
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gptkb:Erich_Hecke
gptkb:Felix_Klein
gptkb:Henri_Poincaré
gptkb:Robert_Fricke
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gptkbp:usedIn
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gptkb:algebraic_geometry
differential geometry
number theory
representation theory
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gptkbp:bfsParent
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gptkb:Leçons_sur_les_fonctions_automorphes
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gptkbp:bfsLayer
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6
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