On theta functions associated to indefinite quadratic forms (Q1072586)
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scientific article; zbMATH DE number 3941621
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On theta functions associated to indefinite quadratic forms |
scientific article; zbMATH DE number 3941621 |
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On theta functions associated to indefinite quadratic forms (English)
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1986
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The object of this paper is to determine the precise behaviour of a family of theta-functions on the upper-half plane which are associated with indefinite quadratic forms and have ''spherical functions'' as coefficients. The factor of automorphy is determined on a ''large'' group, and the result is probably optimal in this respect.
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modular transformation formulas
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eighth root of unity
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theta-functions
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indefinite quadratic forms
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spherical functions
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factor of automorphy
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