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2020, Volume 21, Issue 4  


From the editor
3
Decision of the XVIII International Scientific Conference "Algebra, number theory and discrete geometry: modern problems, applications and problems of history dedicated to the 100th anniversary of the birth of professors B. M. Bredikhin, V. I. Nechaev and S. B. Stechkin
7
Stechkin's works in number theory
M. R. Gabdullin, S. V. Konyagin
9
Boris Maximovich Bredikhin and his scientific and pedagogical activity
N. M. Dobrovolsky, U. M. Pachev, V. N. Chubarikov
19
Markov–Bernstein–Nikol'skii constants for polynomials in $L^{p}$-space with the Gegenbauer weight
D. V. Gorbachev, I. A. Martyanov
29
Novel bounds of algebraic Nikol'skii constant
D. V. Gorbachev, I. A. Martyanov
45
On “simple” algorithmically undecidable fragments of elementary theory of an infinitely generated free semigroup
V. G. Durnev, O. V. Zetkina, A. I. Zetkina
56
A discrete approach for solving the variation problem of the density functional theory in real space
V. G. Zavodinskó, O. A. Gorkusha
72
Bounded translation operator for the $(k,1)$-generalized Fourier transform
V. I. Ivanov
85
Weighted inequalities for Dunkl–Riesz transforms and Dunkl gradient
V. I. Ivanov
97
$\omega\sigma$-fibered Fitting classes
O. V. Kamozina
107
Existence and uniqueness theorems for solutions of inverse problems of projective geometry for 3D reconstruction from photographs
A. A. Klyachin, V. A. Klyachin
117
The images of multilinear non-associative polynomials evaluated on a rock-paper-scissors algebra with unit over an arbitrary field and its subalgebras
S. Malev, C. Pines
129
A compactness result for non-periodic structures and its application to homogenization of diffusion-convection equations
A. M. Meirmanov, O. V. Galtsev
140
Pairs of microweight tori in ${\operatorname{GL}}_n$
V. V. Nesterov, N. A. Vavilov
152
The regularity of the transform of Laplace and the transform of Fourier
A. V. Pavlov
162
Local coordinate systems on quantum flag manifolds
F. Razavinia
171
N. M. Korobov, V. I. Nechaev, S. B. Stechkin, N. M. Dobrovolsky and the revival of the Tula School of number theory
I. Yu. Rebrova, V. N. Chubarikov
196
On approximation of classes of analytic periodic functions by Fejer means
O. G. Rovenska, O. A. Novikov
218
Arithmetic properties of direct product of $p$-adic fields elements
A. S. Samsonov
227
Linear combination of the Upwind and Standard Leapfrog difference schemes with weight coefficients, obtained by minimizing the approximation error
A. I. Sukhinov, A. E. Chistyakov, E. A. Protsenko, A. M. Atayan
243
Numerical study of the propagation of a small shock wave intensity from a homogeneous gas to an electrically charged dusty environment
D. A. Tukmakov, A. A. Ahunov
257
A generalized Binomial theorem and a summation formulae
V. N. Chubarikov
270

BRIEF MESSAGE
Nikolskii–Bernstein constants in $L^{p}$ on the sphere with Dunkl weight
D. V. Gorbachev, N. N. Dobrovol'skii
302
On the weak universality theorem
A. V. Kirilina
308

HISTORY OF MATH AND APPLICATIONS
Development of scientific and technological foundations for a new environmentally friendly and waste-free process for grinding conductive waste into micro- and nanofractions powders
E. V. Ageeva, E. V. Ageev, A. E. Gvozdev, O. V. Kuzovleva
314
On the evolution of mathematical models of friction sliding of solids
A. D. Breki, S. G. Chulkin, A. E. Gvozdev, O. V. Kuzovleva
327
On the role of mathematical calculations in the expert study of the processes of structure formation and phase transformations in metal materials
O. V. Kuzovleva, A. E. Gvozdev, A. V. Malyarov
333
Metaphysics of the Moscow mathematical school on the border of XIX–XX centuries
R. A. Melnikov, O. A. Savvina
340
Determination of the inhomogeneity laws of a cylinder covering located in a plane waveguide for providing minimum sound reflection
L. A. Tolokonnikov, A. E. Belkin
354
Scattering of a plane sound waves by an elastic cylinder with an non-uniform coating situated near to a flat surface
L. A. Tolokonnikov, D. Yu. Efimov
369
Mathematical modeling of the stress-strain state in metallic media based on the concept of force lines
A. N. Chukanov, V. A. Tereshin, E. V. Tsoi
382

MEMORARY DATES
On the scientific works of Dmitry Alexandrovich Popov
V. M. Buchstaber, M. A. Korolev
396

NECROLOGISTS
Sergei Ivanovich Adian
422
Ernest Borisovich Vinberg
423
Victor N. Latyshev
424
Evgeny Vladimirovich Podsypanin
S. V. Vostokov, Yu. V. Matiyasevich, Yu. V. Nesterenko, V. N. Chubarikov, V. I. Bernik, A. Laurinčikas, V. G. Zhuravlev, V. G. Chirskii, N. M. Dobrovol'skii, U. M. Pachev, F. V. Podsypanin, I. Yu. Rebrova, B. M. Shirokov, N. N. Dobrovol'skii
425
Mikhail Alexandrovich Shubin
427
 
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