Multidimensional System of Diophantine Equations / R. V. Pocherevin. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2017. № 1. P. 68-71 [Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 41-43].

An asymptotics for the number of solutions to a system of three Diophantine equations of additive type in six variables is found. Each additive summand of these equations is a simplest form whose degree in each variable does not exceed 1.

Key words: additive problems of the number theory, asymptotics for the number of solutions to a system of Diophantine equations.

№ 1/2017