On a construction for the representation of a positive integer as the sum of four squares (Q1098873)
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scientific article; zbMATH DE number 4037920
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a construction for the representation of a positive integer as the sum of four squares |
scientific article; zbMATH DE number 4037920 |
Statements
On a construction for the representation of a positive integer as the sum of four squares (English)
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1987
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The author gives an explicit representative of a given position integer as the sum of 4 squares via a continued fraction construction, generalizing a similar construction of Hermite for representations of primes \(\equiv 1 mod 4\) as sum of two squares. In the case under consideration continued fractions in the domain of Gaussian integers are used as well as results of A. Auric (1902) about them.
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sum of four squares
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sums of squares
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explicit representative
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sum of two squares
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continued fractions
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Gaussian integers
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