A generalization of a method of Mordell to ternary quadratic forms (Q2833082)
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scientific article; zbMATH DE number 6653572
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A generalization of a method of Mordell to ternary quadratic forms |
scientific article; zbMATH DE number 6653572 |
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A generalization of a method of Mordell to ternary quadratic forms (English)
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16 November 2016
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ternary quadratic forms
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representation by special quadratic forms
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elementary methods of Mordell
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If an integral quadratic form is alone in its genus, it is easy to determine all integers that are represented by the form. The paper under review does not use this information, but determines from scratch by elementary considerations all integers that are represented by ten special ternary quadratic forms, including seven which were handled already by Ramanujan. The elementary techniques were introduced by \textit{L. J. Mordell} [Acad. Republ. Popul. Roum., Rev. Math. Pur. Appl. 3, 25--27 (1958; Zbl 0089.02702)] for the case of three squares.
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