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 Boundary value problems with strong nonlocalness for elliptic equationsA. B. Antonevich 3 Representation of associative algebras and coherent sheavesA. I. Bondal 25 Analytic perturbation theory for a periodic potentialYu. E. Karpeshina 45 Smoothness of the value function for a controlled diffusion process in a domainN. V. Krylov 66 Subgroups and homology of free products of profinite groupsO. V. Mel'nikov 97 Homology of the full linear group over a local ring, and Milnor's $K$-theoryYu. P. Nesterenko, A. A. Suslin 121 The spectrum of an algebra of pseudodifferential operators with piecewise smooth symbolsB. A. Plamenevskii, V. N. Senichkin 147 Ergodic properties of systems with an external potential in classical statistical mechanicsM. R. Soloveichik 179 On an analogue of the Alexander–Markov theoremG. S. Makanin 200 The distribution of Hardy–Littlewood numbers in arithmetic progressionsZ. Kh. Rakhmonov 211