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*=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.