On a generalization of Waring's formula
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.
scientific article; zbMATH DE number 1139869