Representation of products as sums of linear form powers / S. B. Gashkov, E. T. Shavgulidze. //Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2014. ? 2. P. 9-14 [Moscow Univ. Math. Bulletin. Vol. 69, N 2, 2014.].

We prove that the product of n complex variables can be represented as a sum of m=2^n-1 n-powers of linear forms of n variables and for any m < 2^n-1 there is no such identity with m summands being nth powers of linear forms.

Key words: linear forms, monomials, representation as sum of powers, low bounds.

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