Ein Beispiel positiv definiter quadratischer Formen der Dimension 4 mit gleichen Darstellungszahlen. (An example of positive definite quadratic forms of dimension 4 with the same representation numbers) (Q911626)
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scientific article; zbMATH DE number 4142117
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Ein Beispiel positiv definiter quadratischer Formen der Dimension 4 mit gleichen Darstellungszahlen. (An example of positive definite quadratic forms of dimension 4 with the same representation numbers) |
scientific article; zbMATH DE number 4142117 |
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Ein Beispiel positiv definiter quadratischer Formen der Dimension 4 mit gleichen Darstellungszahlen. (An example of positive definite quadratic forms of dimension 4 with the same representation numbers) (English)
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1990
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The author explicitly writes down two inequivalent quaternary quadratic forms with discriminant 1729, which have the same representation numbers for all integers. Up to discriminant 3000 this is the only example of this type. An interpretation of the interesting phenomenon seems to be open.
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theta-series
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quaternary quadratic forms
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representation numbers
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