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

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

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

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
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
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
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
Relations between Polish and Moscow mathematicians in the first half of the XXth century
G. S. Smirnova
494
Early works by Zhukovsky on the kinematics of a liquid body
I. A. Tyulina, V. N. Chinenova
506
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

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
 
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