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2018, Volume 473  

| General information | Contents | Forward links |


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
7–16
Necessary conditions of point equivalence of second-order ODEs to the sixth Painlevé equation
Yu. Yu. Bagderina
17–33
$Q$-operator for the quantum NLS model
N. M. Belousov, S. E. Derkachov
34–65
The ground state-vector of the $XY$ Heisenberg chain and the Gauss decomposition
N. Bogoliubov, C. Malyshev
66–76
The partition function of the four-vertex model in a special external field
N. Bogoliubov, C. Malyshev
77–84
Scalar products for the regular analytic vectors of the Laplace operator in the solenoidal subspace
T. A. Bolokhov
85–98
On differential operators for Chebyshev polynomials of several variables
E. V. Damaskinskiy, M. A. Sokolov
99–109
Separation of variables for the quantum $SL(3,\mathbb{C})$ spin magnet: eigenfunctions of Sklyanin $B$-operator
S. E. Derkachov, P. A. Valinevich
110–146
On the application of matrix formalism of heat kernel to the number theory
A. V. Ivanov
147–160
On the completeness of projectors for tensor product decomposition of continuous series representations groups $SL (2,\mathbb{R})$
A. V. Ivanov
161–173
Conformal limit for dimer models on the hexagonal lattice
D. Keating, N. Reshetikhin, A. Sridhar
174–193
Asymptotics of integrals of some functions related to the degenerate third Painlevé equation
A. V. Kitaev, A. Vartanyan
194–204
Two-phase periodic solutions to the AKNS hierarchy equations
V. B. Matveev, A. O. Smirnov
205–227
Off-shell Bethe states and the six-vertex model
A. G. Pronko, G. P. Pronko
228–243
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