The length of \(x_1^4+x_2^4+x_3^4+x_4^4\) as a sum of squares (Q5928864)
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scientific article; zbMATH DE number 1584461
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The length of \(x_1^4+x_2^4+x_3^4+x_4^4\) as a sum of squares |
scientific article; zbMATH DE number 1584461 |
Statements
The length of \(x_1^4+x_2^4+x_3^4+x_4^4\) as a sum of squares (English)
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4 April 2001
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It is shown that the quartic form \(x_1^4+ x_2^4+ x_3^4+ x_4^4\) cannot be written as a sum of three squares of homogeneous real quadratic forms. This settles a conjecture of B. Reznick for \(k=2\).
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quartic form
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sum of three squares of homogeneous real quadratic forms
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