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Contents  
• M. A. Semenov-Tian-Shansky ....... 5
• Babich M. V. On parametrization of symplectic quotient of Cartesian product of coadjoint orbits of complex general linear group with respect to its diagonal action ....... 7
• Bagderina Yu. Yu. Necessary conditions of point equivalence of second-order ODEs to the sixth Painlev\'e equation ....... 17
• Belousov N. M., Derkachov S. E. $Q$-operator for the quantum NLS model ....... 34
• Bogoliubov N., Malyshev C. The ground state-vector of the $XY$ Heisenberg chain and the Gauss decomposition ....... 66
• Bogoliubov N., Malyshev C. The partition function of the four-vertex model in a special external field ....... 77
• Bolokhov T. A. Scalar products for the regular analytic vectors of the Laplace operator in the solenoidal subspace ....... 85
• Damaskinskiy E. V., Sokolov M. A. On differential operators for Chebyshev polynomials of several variables ....... 99
• Derkachov S. E., Valinevich P. A. Separation of variables for the quantum $SL(3,\mathbb{C})$ spin magnet: eigenfunctions of Sklyanin $B$-operator ....... 110
• Ivanov A. V. On the application of matrix formalism of heat kernel to the number theory ....... 147
• Ivanov A. V. On the completeness of projectors for tensor product decomposition of continuous series representations groups $SL (2,\mathbb{R})$ ....... 161
• Keating D., Reshetikhin N., Sridhar A. Conformal limit for Dimer models on the hexagonal lattice ....... 174
• Kitaev A. V., Vartanian A. Asymptotics of Integrals of Some Functions Related to the Degenerate Third Painlev\'e Equation ....... 194
• Matveev V. B., Smirnov A. O. Two-phase periodic solutions to the AKNS hierarchy equations ....... 205
• Pronko A. G., Pronko G. P. Off-shell Bethe states and the six-vertex model ....... 228
• Reviews ....... 244

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• Paging 249 pp.

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