Geodesic
Representation of monomials as a sum of powers of linear forms
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2014), pp. 9-14

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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 $n$th powers of linear forms. 
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     author = {S. B. Gashkov and E. T. Shavgulidze},
     title = {Representation of monomials as a sum of powers of linear forms},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {9--14},
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     url = {http://geodesic.mathdoc.fr/item/VMUMM_2014_2_a1/}
}
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S. B. Gashkov; E. T. Shavgulidze. Representation of monomials as a sum of powers of linear forms. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2014), pp. 9-14. http://geodesic.mathdoc.fr/item/VMUMM_2014_2_a1/