Convergence Exponent of a Singular Series for a Multi-Dimensional Problem / L. G. Arkhipova and V. N. Chubarikov. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2018. № 5. P. 68-71 [Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 207-209].

The exponent of convergence of a singular series in the asymptotic formula for the number of solutions to a multidimensional problem is obtained.

Key words: multivariate additive problem, asymptotics of the number of solutions to Diophantine equations system, singular series, exponent of convergence.