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Waring’s problem for binary forms. (English) Zbl 0791.11020

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.

MSC:

11E76 Forms of degree higher than two
11P05 Waring’s problem and variants
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References:

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