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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

2018, Volume 473

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Questions of quantum field theory and statistical physics. Part 25


M. A. Semenov-Tian-Shansky
On parametrization of symplectic quotient of Cartesian product of coadjoint orbits of complex general linear group with respect to its diagonal action
M. V. Babich
7
Necessary conditions of point equivalence of second-order ODEs to the sixth Painlevé equation
Yu. Yu. Bagderina
17
$Q$-operator for the quantum NLS model
N. M. Belousov, S. E. Derkachov
34
The ground state-vector of the $XY$ Heisenberg chain and the Gauss decomposition
N. Bogoliubov, C. Malyshev
66
The partition function of the four-vertex model in a special external field
N. Bogoliubov, C. Malyshev
77
Scalar products for the regular analytic vectors of the Laplace operator in the solenoidal subspace
T. A. Bolokhov
85
On differential operators for Chebyshev polynomials of several variables
E. V. Damaskinskiy, M. A. Sokolov
99
Separation of variables for the quantum $SL(3,\mathbb{C})$ spin magnet: eigenfunctions of Sklyanin $B$-operator
S. E. Derkachov, P. A. Valinevich
110
On the application of matrix formalism of heat kernel to the number theory
A. V. Ivanov
147
On the completeness of projectors for tensor product decomposition of continuous series representations groups $SL (2,\mathbb{R})$
A. V. Ivanov
161
Conformal limit for dimer models on the hexagonal lattice
D. Keating, N. Reshetikhin, A. Sridhar
174
Asymptotics of integrals of some functions related to the degenerate third Painlevé equation
A. V. Kitaev, A. Vartanyan
194
Two-phase periodic solutions to the AKNS hierarchy equations
V. B. Matveev, A. O. Smirnov
205
Off-shell Bethe states and the six-vertex model
A. G. Pronko, G. P. Pronko
228


© Steklov Math. Inst. of RAS, 2025