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- Siegel_modular_form abstract "In mathematics, Siegel modular forms are a major type of automorphic form. These stand in relation to the conventional elliptic modular forms as abelian varieties do in relation to elliptic curves; the complex manifolds constructed as in the theory are basic models for what a moduli space for abelian varieties (with some extra level structure) should be, as quotients of the Siegel upper half-space rather than the upper half-plane by discrete groups.The modular forms of the theory are holomorphic functions on the set of symmetric n × n matrices with positive definite imaginary part; the forms must satisfy an automorphy condition. Siegel modular forms can be thought of as multivariable modular forms, i.e. as special functions of several complex variables.Siegel modular forms were first investigated by Carl Ludwig Siegel in the 1930s for the purpose of studying quadratic forms analytically. These primarily arise in various branches of number theory, such as arithmetic geometry and elliptic cohomology. Siegel modular forms have also been used in some areas of physics, such as conformal field theory.".
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- Siegel_modular_form wikiPageRevisionID "673023059".
- Siegel_modular_form wikiPageWikiLink Abelian_varieties.
- Siegel_modular_form wikiPageWikiLink Abelian_variety.
- Siegel_modular_form wikiPageWikiLink Arithmetic_geometry.
- Siegel_modular_form wikiPageWikiLink Automorphic_form.
- Siegel_modular_form wikiPageWikiLink Carl_Ludwig_Siegel.
- Siegel_modular_form wikiPageWikiLink Category:Modular_forms.
- Siegel_modular_form wikiPageWikiLink Conformal_field_theory.
- Siegel_modular_form wikiPageWikiLink Discrete_group.
- Siegel_modular_form wikiPageWikiLink Elliptic_cohomology.
- Siegel_modular_form wikiPageWikiLink Elliptic_curve.
- Siegel_modular_form wikiPageWikiLink Fourier_expansion.
- Siegel_modular_form wikiPageWikiLink Fourier_series.
- Siegel_modular_form wikiPageWikiLink Glossary_of_arithmetic_and_Diophantine_geometry.
- Siegel_modular_form wikiPageWikiLink Holomorphic_function.
- Siegel_modular_form wikiPageWikiLink Identity_matrix.
- Siegel_modular_form wikiPageWikiLink Ikeda_lift.
- Siegel_modular_form wikiPageWikiLink Mathematics.
- Siegel_modular_form wikiPageWikiLink Modular_form.
- Siegel_modular_form wikiPageWikiLink Moduli_space.
- Siegel_modular_form wikiPageWikiLink Number_theory.
- Siegel_modular_form wikiPageWikiLink Physics.
- Siegel_modular_form wikiPageWikiLink Positive_definite.
- Siegel_modular_form wikiPageWikiLink Positive_definiteness.
- Siegel_modular_form wikiPageWikiLink Quadratic_form.
- Siegel_modular_form wikiPageWikiLink Rational_representation.
- Siegel_modular_form wikiPageWikiLink Saito–Kurokawa_lift.
- Siegel_modular_form wikiPageWikiLink Schottky_form.
- Siegel_modular_form wikiPageWikiLink Several_complex_variables.
- Siegel_modular_form wikiPageWikiLink Siegel_upper_half-space.
- Siegel_modular_form wikiPageWikiLink Special_function.
- Siegel_modular_form wikiPageWikiLink Special_functions.
- Siegel_modular_form wikiPageWikiLink Symmetric_matrix.
- Siegel_modular_form wikiPageWikiLink Symplectic_group.
- Siegel_modular_form wikiPageWikiLink Upper_half-plane.
- Siegel_modular_form wikiPageWikiLink Vector_space.
- Siegel_modular_form wikiPageWikiLinkText "Overconvergent Siegel Modular Symbols".
- Siegel_modular_form wikiPageWikiLinkText "Siegel modular form".
- Siegel_modular_form wikiPageWikiLinkText "Siegel modular form#Koecher principle".
- Siegel_modular_form wikiPageWikiLinkText "Siegel modular varieties".
- Siegel_modular_form hasPhotoCollection Siegel_modular_form.
- Siegel_modular_form wikiPageUsesTemplate Template:Citation.
- Siegel_modular_form wikiPageUsesTemplate Template:Harv.
- Siegel_modular_form wikiPageUsesTemplate Template:Harvs.
- Siegel_modular_form wikiPageUsesTemplate Template:Harvtxt.
- Siegel_modular_form subject Category:Modular_forms.
- Siegel_modular_form hypernym Type.
- Siegel_modular_form comment "In mathematics, Siegel modular forms are a major type of automorphic form.".
- Siegel_modular_form label "Siegel modular form".
- Siegel_modular_form sameAs 지겔_모듈러_형식.
- Siegel_modular_form sameAs Siegel-modulaire_vorm.
- Siegel_modular_form sameAs m.0269y9b.
- Siegel_modular_form sameAs Q7510567.
- Siegel_modular_form sameAs Q7510567.
- Siegel_modular_form sameAs 西格爾模形式.
- Siegel_modular_form wasDerivedFrom Siegel_modular_form?oldid=673023059.
- Siegel_modular_form isPrimaryTopicOf Siegel_modular_form.