On certain factors of automorphy for the modular group of degree \(n\) (Q772831)
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scientific article; zbMATH DE number 3154973
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On certain factors of automorphy for the modular group of degree \(n\) |
scientific article; zbMATH DE number 3154973 |
Statements
On certain factors of automorphy for the modular group of degree \(n\) (English)
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1961
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Verf. betrachtet für den Siegelschen Halbraum der \(n\)-reihigen symmetrischen Matri\-zen \(Z\) mit positiv definitem Imaginärteil und Modulsubstitutionen \(n\)-ten Grades die Funktionen \(I_t(M; Z) = (\det (C Z + D))^t\), \(M = \begin{pmatrix} * & * \\ c & D \end{pmatrix}\), \(t\) komplex, und zeigt, daß für \(n\ge 2\) dann und nur dann \(I_t\) ein automorpher Faktor der Modulgruppe \(n\)-ten Grades ist, wenn \(I_t\) ganz-rational ist.
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factors of automorphy
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modular group of degree n
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