Waring's problem for binary forms (Q1196806)
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scientific article; zbMATH DE number 89571
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Waring's problem for binary forms |
scientific article; zbMATH DE number 89571 |
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Waring's problem for binary forms (English)
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16 January 1993
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The author considers the classical problem of decomposing a binary form of degree \(d\) into a sum of \(d\)th powers of linear forms. The problem is solved for arbitrary binary forms with coefficients in a real or algebraically closed field. The analysis is based on continued fractions and Padé approximation theory. A connection with partial realizations in control theory is made.
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decomposition of binary forms of higher degree
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sums of higher powers of linear forms
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