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 Problems in the Approximation of $2\pi$-Periodic Functions by Fourier Sums in the Space $L_2(2\pi)$V. A. Abilov, F. V. Abilova 803 Negative Results in Form-Preserving Approximation of Higher OrderA. V. Bondarenko, A. V. Primak 812 Problem without Initial Conditions for the Heat EquationR. V. Guseinov 824 Abel–Jacobi Mapping for Real Hyperelliptic Riemann SurfacesO. V. Danilova 833 A Nonlinear Loaded Parabolic Equation and a Related Inverse ProblemA. I. Kozhanov 840 On the Algebraic Cohomology of Real Algebraic $M$-VarietiesV. A. Krasnov 854 Nil-Manifolds Cannot be Immersed as Hypersurfaces in Euclidean SpacesL. A. Masal'tsev 868 Sobolev Capacities of Configurations with Multiple Points in Poisson SpaceO. V. Pugachev 874 On the Zeros of Laplace TransformsA. M. Sedletskii 883 Approximate Penalty Method in Optimal Control Problems for Nonsmooth Singular SystemsS. Ya. Serovaĭskiĭ 893 On a Result of R. TurnerN. B. Uskova 905 On the Solution of a Second-Order Nonlinear Equation in the Exterior of a Compact SetT. S. Khachlaev 918 Lower Bounds for the Riemann Zeta Function on the Critical LineM. E. Changa 922 Estimation of Solutions of Boundary-Value Problems in Domains with Concentrated Masses Located Periodically along the Boundary: Case of Light MassesG. A. Chechkin 928 Brief Communications Virtual Waiting Time in a System with Markov-Modulated InputE. E. Bashtova 945 Connes–Dixmier Traces, Singular Symmetric Functionals, and Measurable Elements in the Sense of ConnesA. A. Sedaev, F. A. Sukochev, S. Lord 948