A Diophantine equation arising from tight 4-designs (Q754872)
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scientific article; zbMATH DE number 3648715
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A Diophantine equation arising from tight 4-designs |
scientific article; zbMATH DE number 3648715 |
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A Diophantine equation arising from tight 4-designs (English)
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1979
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The author proves, algebraically, that the Diophantine equation \[ (2y^2-3)^2=x^2(3x^2-2) \] has only the solutions \((\pm x,\pm y)=(1,1),(3,3)\). This implies that the only tight 4-designs are the Witt designs.
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quartic Diophantine equation
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tight 4-designs
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Witt designs
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