Waring's problem for binary forms
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.
decomposition of binary forms of higher degree
scientific article; zbMATH DE number 89571
scientific article