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JOURNALS // Chebyshevskii Sbornik // Archive

2021, Volume 22, Issue 4


From the editorial board
6
Gaussian sums and their application to the proof of quadratic reciprocity law
I. M. Vinogradov
7
On the problem of conjugacy of words in a certain class of subgroups of Artin groups
V. N. Bezverkhnii, N. B. Bezverkhnyaya
88
Nikol'skii constants for compact homogeneous spaces
D. V. Gorbachev
100
Riesz potential for $(k,1)$-generalized Fourier transform
V. I. Ivanov
114
Properties and application of a positive translation operator for $(k,1)$-Generalized Fourier transform
V. I. Ivanov
136
Dynamic processes in the economics of multilateral network platforms
A. Ya. Kanel-Belov, M. O. Komatovskiy, S. A. Tishchenko
153
On the hyperbolic parameter of a two-dimensional lattice of comparisons
A. N. Kormacheva, N. N. Dobrovol'skii, I. Yu. Rebrova, N. M. Dobrovol'skii
168
Partial orders and idempotents of monoids
V. B. Poplavski
183
Estimates of short exponential sums with primes in major arcs
Z. Kh. Rakhmonov
200
Sound waves diffraction by an elastic cylinder with inhomogeneous anisotropic outer layer near the plane
S. A. Skobel'tsyn, N. Y. Peshkov
225
On a class of factors of the Chebyshev polynomials
S. Y. Soloviev
241
On the existence of $RR$-polyhedra associated with the icosahedron
V. I. Subbotin
253
On the bifurcation of the solution of the Fermat–Steiner problem under $1$-parameter variation of the boundary in $H(\mathbb{R}^2)$
A. M. Tropin
265
The relation between the continuity of the lengths of curves and the continuity of distances in the case of boundedly compact metric spaces
V. M. Chikin
289
On multiple rational trigonometric sums over a field of algebraic numbers
V. N. Chubarikov
306

HISTORY OF MATHEMATICS AND APPLICATIONS
Kharkiv school of M. I. Kadets and mathematics of Tula
E. V. Manokhin, N. O. Kozlova, V. E. Komov
324
Diffraction of a plane sound wave by an elastic sphere with an inhomogeneous transversal isotropic layer
L. A. Tolokonnikov, S. L. Tolokonnikov
332

BRIEF MESSAGE
On diameter bounds for planar integral point sets in semi-general position
N. N. Avdeev
344
Mathematical effective equation of unloading of porous metal composite materials
I. K. Arkhipov, V. I. Abramova, S. N. Kutepov, A. E. Gvozdev, O. V. Kuzovleva
352
New megastable system with 2-D strip of hidden attractors and analytical solutions
I. M. Burkin, O. I. Kuznetsova
361
Defining equations of deformation of materials with double anisotropy
A. A. Treschev, Yu. A. Zavyalova, M. A. Lapshina, A. E. Gvozdev, O. V. Kuzovleva, E. S. Krupitsyn
370

MEMORABLE DATES
To the memory of Valentin Fedorovich Butuzov
V. N. Chubarikov, N. M. Dobrovol'skii, I. V. Denisov, A. V. Nesterov, N. N. Nefedov
385–387


© Steklov Math. Inst. of RAS, 2025