# CONTENTS

 A version of Carleman's formula and summation of the Riemann $\zeta$-function logarithm on the critical line Brydun A. M., Yatsulka P. A. 3 The rank of projection-algebraic representations of some differential operators Bihun O., Prytula M. 9 Congruences of the semigroup $\mathcal{IO}_{\mathbb{N}}$ (in Ukrainian) Pyekhtyeryev V. O., Tratyak K. S. 22 $ACL$ and differentiability of open discrete ring $(p,Q)$-mappings Salimov R. R., Sevost'yanov E. A. 28 Three-term exponential asymptotic for the maximal term of an entire Dirichlet series (in Ukrainian) Hrytsiv M. M., Sheremeta M. M. 37 Subharmonic functions and electric fields in ball layers. II Gnatiuk O. P., Kondratyuk A. A. 50 Existence of periodic travelling waves in systems of nonlinear oscillators on 2D-lattice (in Ukrainian) Bak S. M. 60 Approximation of classes $B^{\omega}_{p,\theta}$ of periodic functions of several variables by polynomials with spectrum from cubic areas (in Ukrainian) Stasyuk S. A. 66 Factorial analogue of the local quasi-duo domain (in Ukrainian) Vasyunyk I. S., Zabavsky B. V. 74 Vector--valued functional calculus for a convolution algebra of distributions on cone Lopushansky O. V., Sharyn S. V., Solomko A. V. 78 Sur les composantes non separables des hyperespaces avec la distance de Hausdorff Cauty R. 91 The relations between separately and jointly proprities of multi-valued mappings (in Ukrainian) Maslyuchenko V. K., Mykhaylyuk V. V., Fotiy O. G. 106

Matematychni Studii
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