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 In memory of Vasilii Alekseevich Iskovskikh Convergence of a numerical abstract convexity algorithmM. Yu. Andramonov 5 Uniform distribution of non-divisible vectors in an integer spaceV. I. Arnol'd 21 Homogeneous partial differential equations for superpositions of indeterminate functions of several variablesK. Asai 31 Asymptotics for the probability of not exceeding a curvilinear level by a Gaussian random walkN. K. Bakirov 49 Two-colour rotations of the unit circleV. G. Zhuravlev 79 Automorphisms of Galois coverings of generic $m$-canonical projectionsVik. S. Kulikov, V. M. Kharlamov 121 Solutions of a problem of ‘reaction–diffusion’ type with internal transition layers in the case of non-linearity of quadratic typeI. V. Nedelko 157 Affine synthesis in the space $L^2(\mathbb R^d)$P. A. Terekhin 177 Isometric immersions of a cone and a cylinderM. I. Shtogrin 187