Asymptotics of Multiple Trigonometric Series with Monotone Coefficients / A. Zh. Ydyrys. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2015. № 6. P. 14-22 [Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 253-260].

The paper describes a general method of determination of the asymptotic behavior near zero of multiple trigonometric series whose coefficients possess certain monotonicity properties.

Key words: multiple series, sum of multiple series with monotone coefficients.