On a decomposition of polynomials in several variables. II (Q2773358)
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scientific article; zbMATH DE number 1709948
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a decomposition of polynomials in several variables. II |
scientific article; zbMATH DE number 1709948 |
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21 February 2002
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cubic polynomials in several variables
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univariate polynomials
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On a decomposition of polynomials in several variables. II (English)
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One considers the representation of cubic polynomials in several variables as the sum of values of univariate polynomials taken at linear combinations of the variables. One is interested in the smallest number \(M\) of the summands depending on the coefficient field and the number of variables \(n.\) When the characteristic of the field is not 2 or 3, an upper bound, \(M \leq n(n+1)/2\) is proved. When \(n=3\), \(M=5.\)
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