An elementary proof of a theorem of Bremner (Q1191279)
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scientific article; zbMATH DE number 59717
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An elementary proof of a theorem of Bremner |
scientific article; zbMATH DE number 59717 |
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An elementary proof of a theorem of Bremner (English)
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27 September 1992
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\textit{A. Bremner} proved [Osaka J. Math. 16, 353-356 (1979; Zbl 0417.05008)] that the Diophantine equation \[ 3x^ 4-4y^ 4-2x^ 2+12y^ 2-9=0 \] has only two positive integer solutions \((x,y)=(1,1)\) and \((3,3)\). His proof is somewhat difficult. The author gives an elementary proof in this paper.
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quartic Diophantine equation
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quadratic reciprocity
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Pell's equation
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