On a generalization of Waring's formula (Q1384028)
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scientific article; zbMATH DE number 1139869
| Language | Label | Description | Also known as |
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| English | On a generalization of Waring's formula |
scientific article; zbMATH DE number 1139869 |
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On a generalization of Waring's formula (English)
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8 November 1998
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Waring's formula expresses a power sum symmetric function as a sum of elementary symmetric functions, see \textit{M. P. MacMahon} [Combinatory analysis, Chelsea, New York (1960; Zbl 0101.25102)]. Konvalina has extended this formula to expand an elementary symmetric function in variables \(x^n_1,\dots, x^n_m\) instead of expanding a power sum symmetric function, see \textit{J. Konvalina} [A generalization of Waring's formula, J. Comb. Theory, Ser. A 75, No. 2, 281-294, Art. No. 0078 (1996; Zbl 0857.05094)]. The paper under review shows how, using a simple transformation, Konvalina's result follows directly from Waring's formula. This paper also lists some corrections to Konvalina's paper.
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Waring's formula
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power sum symmetric function
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elementary symmetric functions
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0.9796445
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0.9068015
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