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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.".
- Siegel_modular_form wikiPageExternalLink 0605346.pdf.
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- Siegel_modular_form subject Category:Modular_forms.
- Siegel_modular_form type Abstraction100002137.
- Siegel_modular_form type Form106290637.
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- Siegel_modular_form type ModularForms.
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- 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 label "Siegel-modulaire vorm".
- Siegel_modular_form label "西格爾模形式".
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- Siegel_modular_form sameAs Siegel_modular_form.
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