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2019, Volume 20, Issue 3  


From the editor
Naum Il'ich Feldman and the theory of transcendental numbers (to the centenary of the birth)
Yu. V. Nesterenko
7–21
About scientific creativity of Askold Ivanovich Vinogradov
V. A. Bykovskii
22–26
Alexander Vasilievich Malyshev and his research in number theory
U. M. Pachev, E. V. Podsypanin
27–42
The main notions and theoremes of the geometry of numbers
A. V. Malyshev
43–73
A few words about Boris Fadeevich Skubenko
B. Z. Moroz
74–77
On the problem of periodic solution's stability under Hopf bifurcation
V. V. Abramov, E. Yu. Liskina, S. S. Mamonov
78–91
Stochastic trends based on fuzzy mathematics
S. M. Agayan, Sh. R. Bogoutdinov, D. A. Kamaev, M. N. Dobrovolsky
92–106
The structure of finite group algebra of a semidirect product of abelian groups and its applications
K. V. Vedenev, V. M. Deundyak
107–123
Inaba extension of complete field of characteristic $0$
S. V. Vostokov, I. B. Zhukov, O. Yu. Ivanova
124–133
On the role of two thermodynamic postulates in the phenomenological construction of continuum mechanics
D. V. Georgievskii
134–142
Interrelation between Nikolskii–Bernstein constants for trigonometric polynomials and entire functions of exponential type
D. V. Gorbachev, I. A. Martyanov
143–153
On behavior of arithmetical functions, related to Chebyshev function
S. A. Gritsenko, E. Deza, L. V. Varukhina
154–164
Behavior of finite automata in mazes
D. V. Gusev
165–192
About three-dimensional nets of Smolyak I
N. N. Dobrovol'skii, D. V. Gorbachev, V. I. Ivanov
193–219
About solutions of inverse problems sound waves diffraction
N. N. Dobrovol'skii, N. V. Larin, S. A. Skobel'tsyn, L. A. Tolokonnikov
220–245
$n$-crowns in toric tilings into bounded remander sets
A. A. Zhukova, A. V. Shutov
246–260
Free rectangular $n$-tuple semigroups
A. V. Zhuchok
261–271
On linear independence of the values of some hypergeometric functions over the imaginary quadratic field
P. L. Ivankov
272–281
On a version of Hadamard's method in the theory of Dirichlet's $L$-functions
O. V. Kolpakova, O. V. Popov, V. N. Chubarikov
282–295
Probabilistic methods of bypass of the labyrinth using stones and random number generator
E. G. Kondakova, A. Ya. Kanel-Belov
296–315
On some $3$-primitive projective planes
O. V. Kravtsova, I. V. Sheveleva
316–332
Mechanisms for the origin of hidden synchronization of dynamic systems
S. S. Mamonov, I. V. Ionova, A. O. Kharlamova
333–348
On one sum of Hankel–Clifford integral transforms of Whittaker functions
J. Choi, A. I. Nizhnikov, I. Shilin
349–360
Coleman norm and trace operators for polynomial formal groups
P. N. Pital, V. M. Polyakov
361–371
Generalized Rauzy tilings and bounded remainder sets
A. V. Shutov
372–389

BRIEF MESSAGE
The Jacobian Conjecture for the free associative algebra (of arbitrary characteristic)
A. Belov-Kanel, L. Rowen, Jie-Tai Yu
390–393
Extremal Nikolskii–Bernstein- and Turán-type problems for Dunkl transform
D. V. Gorbachev, N. N. Dobrovolskii
394–400
On a property of nilpotent matrices over an algebraically closed field
P. V. Danchev
401–404

REPORTS BY YOUNG SCIENTISTS
Estimations of the constant of the best simultaneous Diophanite approximations
Yu. A. Basalov
405–429

HISTORY OF MATHEMATICS AND APPLICATIONS
The role of mathematics in the development of composite materials mechanics
I. K. Arkhipov, V. I. Abramova, A. E. Gvozdev, D. V. Malii
430–436
G. M. Fikhtengol'ts and the teaching of the mathematical analysis in the Russia during the first half of the XXth century
S. S. Demidov, S. S. Petrova
437–452
Materials and technologies for production products by additive manufacturing
A. N. Kubanova, A. N. Sergeev, N. M. Dobrovolskii, A. E. Gvozdev, P. N. Medvedev, D. V. Maliy
453–477
Development of mechanisms of hydrogen cracking of metal systems and methods to protect steel products from corrosion-mechanical destruction
N. N. Sergeev, A. N. Sergeev, A. E. Gvozdev, P. N. Medvedev, S. N. Kutepov, D. V. Maliy
478–493
Relations between Polish and Moscow mathematicians in the first half of the XXth century
G. S. Smirnova
494–505
Early works by Zhukovsky on the kinematics of a liquid body
I. A. Tyulina, V. N. Chinenova
506–513
The story of the creation method of assessing damage of steels on the basis of mechanical spectroscopy
A. N. Chukanov, A. E. Gvozdev, A. N. Sergeev, A. A. Yakovenko, P. N. Medvedev, S. N. Kutepov, D. V. Malii
514–532

MEMORABLE DATE
Nikolay Nikolaevich Sergeev, Doctor of Technical Sciences, Professor of Tula State Lev Tolstoy Pedagogical University — bright representative of the scientific school of physical fundamental and applied materials science M. A. Krishtal
A. N. Sergeev, A. E. Gvozdev, M. V. Ushakov, P. N. Medvedev, Yu. S. Dorokhin, S. N. Kutepov, D. V. Malii
533–558
 
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