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 A new estimate of the function $\zeta(1+it)$I. M. Vinogradov 161 Proof of the rigidity of piece-wise regular closed convex surfaces of non-negative curvatureB. Bojarski, I. N. Vekua 165 Exact solution of the problem of the motion of a vortex under the surface of a liquidA. M. Ter-Krikorov 177 On sequences of linear aggregates formed from solutions of differential equationsA. F. Leont'ev 201 On uniqueness of functions of best approximation in the metric of the space $L_1$S. Ya. Havinson 243 Mixed problems for a system of partial differential equations of first orderV. N. Maslennikova 271 Spectral analysis of operators of the form $Kf=\displaystyle\int_0^xf(t)k(x-t) dt$L. A. Sakhnovich 299 An example of two Toeplitz matrices not boundedly contradictory and not boundedly coverableA. L. Brudno 309