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. 72, N 2, 2017. P. 0].

We prove that the product of n complex variables can be represented as a sum of m=2n-1 n-powers of linear forms of n variables and for any m < 2n-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.

№ 2/2014