Chebyshevskii Sb., 2019, Volume 20, Issue 3

JOURNALS // Chebyshevskii Sbornik // Archive

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