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2021, Volume 22, Issue 3  


От редакции
5
P. L. Chebyshev — scientist, teacher and scientific figure
S. S. Demidov
6–19
Estimates the Bergman kernel for classical domains É. Cartan's
J. Sh. Abdullayev
20–31
Jordan–Kronecker invariants of Borel subalgebras of semisimple Lie algebras
K. S. Vorushilov
32–56
Inversion formula for Dirichlet series and its application
L. A. Gromakovskaya, B. M. Shirokov
57–76
Quesitions of enumeration of spanning forests of selected graphs
E. Deza, B. Mhanna
77–99
About three-dimensional nets of Smolyak II
N. N. Dobrovol'skii, D. V. Gorbachev, V. I. Ivanov
100–121
Inequalities for Dunkl–Riesz transforms and Dunkl gradient with radial piecewise power weights
V. I. Ivanov
122–132
Hausdorff operators on Hardy type spaces
E. Liflyand, M. Skopina
133–142
Polynomials with small values in the neighborhoods of zeros in Archimedean and non-Archimedean metrics
A. V. Lunevich, N. V. Shamukova
143–153
Solving the Delsarte problem for $4$-designs on the sphere $\mathbb{S}^{2}$
I. A. Martyanov
154–165
Trigonometric sums of grids of algebraic lattices with infinitely differentiable weights
E. M. Rarova, N. N. Dobrovol'skii, I. Yu. Rebrova, N. M. Dobrovol'skii
166–178
On some additive problems of Goldbach's type
H. M. Saliba, V. N. Chubarikov
179–195
Smooth manifold of one-dimensional lattices and shifted lattices
E. N. Smirnova, O. A. Pikhtilkova, N. N. Dobrovol'skii, I. Yu. Rebrova, A. V. Rodionov, N. M. Dobrovol'skii
196–231
$\bar \omega$-fibered formations of finite groups
M. M. Sorokina, A. A. Gorepekina
232–244
Polyadic Liouville numbers
V. G. Chirskii
245–255

REPORTS BY YOUNG SCIENTISTS
Some number-theoretic methods for solving partial derivatives
A. V. Rodionov
256–297

HISTORY OF MATH AND APPLICATIONS
Numerical optimization of the sintering process of dispersed electroerosion particles of the alloy VNZh 95
E. V. Ageeva, E. V. Ageev, O. V. Kuzovleva, A. E. Gvozdev
298–310
On the development of nonlinear integral equations at the early stage and the contribution of domestic mathematics
E. M. Bogatov, R. R. Mukhin
311–344
The integral formula in problems of the stability of inhomogeneous rods
V. I. Gorbachev, A. A. Ruban
345–352
Problems on eigenvalues for ordinary differential equations of the second order with variable coefficients
V. I. Gorbachev
353–367
About application of number-theoretic grids in problems of acoustics
N. N. Dobrovol'skii, S. A. Skobel'tsyn, L. A. Tolokonnikov, N. V. Larin
368–382
From the algebraic methods of Diophantus–Fermats–Euler to the arithmetic of algebraic curves: about the history of diophantine equations after Euler
T. A. Lavrinenko, A. A. Belyaev
383–404
Pafnutiy Lvovich Chebyshev (1821–1894), a man of science in the service of Russia (On the occasion of the bicentennial of his birth)
A. A. Tikhonov
405–422
Reflection and refraction of a plane sound wave in an elastic plate with an inhomogeneous anisotropic coating
L. A. Tolokonnikov, S. L. Tolokonnikov
423–437

BRIEF MESSAGE
On the effective elastic properties of a layered composite material made using 3D-technology
I. K. Arkhipov, V. I. Abramova, O. V. Kuzovleva, A. E. Gvozdev
438–442
Optimal design of the damping properties of porous metal composites
I. K. Arkhipov, V. I. Abramova, O. V. Kuzovleva, A. E. Gvozdev, G. V. Semenova
443–447
A remark on a lemma from Filippov's article on differential inclusions
E. E. Borisenko
448–452
Approximation by spherical polynomials in $L^{p}$ for $p<1$
D. V. Gorbachev, N. N. Dobrovolskii
453–456
Finite groups with $OS$-propermutable subgroups
E. V. Zubei
457–463
Ball's lemma as an exercise
E. Liflyand
464–466
On the global solvability of the Cahn-Hilliard equation
Kh. S. Taramova
467–473
On a property of the Fenchel transform
A. A. Farvazova
474–478

MEMORIAL DAYS
Alexander Ivanovich Nizhnikov (on the 75th anniversary of his birth)
V. N. Chubarikov, G. L. Abdulgalimov, E. I. Deza, M. S. Mirzoev, O. A. Kosino, Yu. L. Hotuntsev, I. A. Shilin, R. M. Aslanov, O. M. Rastopchina, Yu. A. Drobyshev, N. M. Dobrovolskii, N. N. Dobrovolskii, I. Yu. Rebrova
479–492
 
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