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 Addition of prime numbers with powers of one and the same numberYu. V. Linnik 3 The problem of the motion of a rigid body containing a liquid mass having a free surfaceN. N. Moiseev 61 On the application of the sieve method to the solution of the word problem for certain groups with a denumerable set of generating elements and a denumerable set of defining relationsP. V. Stender 97 On the expansion of arbitrary functions in characteristic functions of the operator $-\Delta u+cu$A. Ya. Povzner 109 On generalized almost periodic functions and sequences connected with differential and difference equationsYu. M. Berezanskii 157 Vector spaces over topological fieldsN. Ya. Vilenkin 195 On some properties of univalent conformal mappingsI. E. Bazilevich, G. V. Koritskii 209 On some questions of the combinatorial topology of nonclosed setsE. F. Mishchenko 219 On N. V. Efimov's $N$-invariants from the theory of deformation of surfacesV. A. Tartakovskii 225