Geodesic
On~the number of solutions of the equation $x_1^2+\dots+x_n^2=nx_1\dots x_n$, not exceeding a~given limit
Matematičeskie zametki, Tome 57 (1995) no. 2, pp. 297-300.

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     title = {On~the number of solutions of the equation $x_1^2+\dots+x_n^2=nx_1\dots x_n$, not exceeding a~given limit},
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Yu. N. Baulina. On~the number of solutions of the equation $x_1^2+\dots+x_n^2=nx_1\dots x_n$, not exceeding a~given limit. Matematičeskie zametki, Tome 57 (1995) no. 2, pp. 297-300. http://geodesic.mathdoc.fr/item/MZM_1995_57_2_a12/

[1] Hurwitz A., Archiv der Math. und Phys. (3), 11 (1907), 185–195

[2] Zagier D., Math. Comput., 39:160 (1982), 709–723 | DOI | MR | Zbl