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Čebyševskij sbornik
Tome 20 (2019)
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Sommaire du
Fascicule no. 1
Some moments in the life of Antanas Laurin\v cikas: the search for universality
A. Dubickas
;
R. Macaitienė
p. 6-45
Joint discrete universality for
$L$
-functions from the Selberg class and periodic Hurwitz zeta-functions
A. Balčiūnas
;
R. Macaitienė
;
D. Šiaučiūnas
p. 46-65
Estimation of the constant of the best simultaneous diophanite approximations for
$n=5$
and
$n=6$
Yu. A. Basalov
p. 66-81
Extention of the Laurin\v{c}ikas--Matsumoto theorem
A. Vaiginytė
p. 82-93
Investigation of systems of real functions on two-dimensional grids using fuzzy sets
A. D. Gvishiani
;
S. M. Agayan
;
Sh. R. Bogoutdinov
p. 94-111
$p$
-adic
$L$
-functions and
$p$
-adic multiple zeta values
N. M. Glazunov
p. 112-130
Weighted inequalities for Dunkl--Riesz potential
D. V. Gorbachev
;
V. I. Ivanov
p. 131-147
One model Zeta function of the monoid of natural numbers
N. N. Dobrovol'sky
p. 148-163
Monoids of natural numbers in the numerical-theoretical method in the approximate analysis
N. N. Dobrovol'skii
;
N. M. Dobrovol'skii
;
I. Yu. Rebrova
;
A. V. Rodionov
p. 164-179
Dirichlet series algebra of a monoid of natural numbers
N. N. Dobrovol'skii
;
M. N. Dobrovol'skii
;
N. M. Dobrovol'skii
;
I. N. Balaba
;
I. Yu. Rebrova
p. 180-196
On Newman polynomials without roots on the unit circle
A. Dubickas
p. 197-203
Algebraically compact abelian
$TI$
-groups
E. I. Kompantseva
;
T. K. T. Nguyen
p. 204-213
Multiplications on mixed abelian groups
E. I. Kompantseva
p. 214-223
On a bounded remainder set for
$(t,s)$
sequences~I
Mordechay B. Levin
p. 224-247
The criterion of periodicity of continued fractions of key elements in hyperelliptic fields
V. P. Platonov
;
G. V. Fedorov
p. 248-260
A generalized limit theorem for the periodic Hurwitz zeta-function
A. Rimkevičienė
p. 261-271
Scattering of sound waves by an cylinder with an radial non-uniform elastic coating in a~planar waveguide
L. A. Tolokonnikov
p. 272-283
Generalized Gaussian sums and Bernoulli polynomials
V. N. Chubarikov
p. 284-293
An one application of Dirichlet integral
A. Ghyasi
p. 294-297
About the partial quotients of one of the continued fractions
A. N. Kormacheva
p. 298-306
Quality function for the approximation of quadratic algebraic nets
A. V. Mikhlyaeva
p. 307-312
Classical radicals and the Martindale centroid of Artin and Noetherian Lie algebras
A. N. Blagovisnaya
p. 313-353
Excerpts on the history of superplasticity state of metal systems
A. E. Gvozdev
;
A. N. Sergeev
;
A. N. Chukanov
;
S. N. Kutepov
;
D. V. Malii
;
E. V. Tsoy
;
A. A. Kalinin
p. 354-371
Some optimization problems of the management of socio-ecological-economic systems
R. A. Zhukov
p. 372-390
The religious and legal aspect of al-Khwarizmi's algebra and its status in the hierarchy of sciences of al-Farabi
I. O. Lyuter
p. 391-404
Historical aspects of mathematical analysis of metal material deformation diagrams
A. N. Chukanov
;
A. E. Gvozdev
;
A. N. Sergeev
;
S. N. Kutepov
;
P. N. Medvedev
;
D. V. Maliy
;
A. A. Yakovenko
;
I. F. Shiroky
p. 405-423
Victor Nikolaevich Latyshev --- to 85-th anniversary
To the 80th anniversary of Rais Salmanovich Ismagilov
Yu. A. Neretin
;
A. M. Stepin
p. 425-430
Mikhail Mikhailovich Glukhov (obituary)
Boris Anatolyevich Dubrovin (obituary)
Albert Rubenovich Esayan (obituary)
The life and scientific work of Albert Rubenovich Esayan
N. M. Dobrovol'skii
;
I. V. Denisov
p. 434-438
Sommaire du
Fascicule no. 2
Generalized Kenmotsu manifold constancy of type
Ahmad Abu-Saleem
;
A. R. Rustanov
;
T. L. Melekhina
p. 7-21
About the method of estimating critical determinants within the question of the estimation of the constant of simultaneous diophantine approximations
Yu. A. Basalov
p. 22-38
Exact bounds for the special class of integer polynomials with given discriminant
N. V. Budarina
p. 39-46
On upper bounds for the number of minimal polynomials with bounded derivative at a root
D. V. Vasilyev
;
A. S. Kudin
p. 47-54
Selected questions of the theory of adding functions of Dirichlet series
L. V. Varukhina
p. 55-81
Muckenhoupt conditions for piecewise-power weights in Euclidean space with Dunkl measure
D. V. Gorbachev
;
V. I. Ivanov
p. 82-92
New approach to searching for string median and visualization of~string clusters
D. V. Gorbachev
;
E. P. Ofitserov
p. 93-107
The Gromov--Hausdorff distances to simplexes
D. S. Grigor'ev
;
A. O. Ivanov
;
A. A. Tuzhilin
p. 108-122
Distribution of values of Jordan function in residue classes
L. A. Gromakovskaya
;
B. M. Shirokov
p. 123-139
Cones and polytopes of geleralized metrics
E. I. Deza
p. 140-155
On a generalized Eulerian product defining a meromorphic function on the whole complex plane
N. N. Dobrovol'skii
;
M. N. Dobrovol'skii
;
N. M. Dobrovol'skii
p. 156-168
The hypermetric cone and polytope on graphs
M. Dutour
p. 169-177
On the values of hypergeometric function with parameter from quadratic field
P. L. Ivankov
p. 178-185
On two approaches to classification of higher local fields
O. Ivanova
;
S. Vostokov
;
I. Zhukov
p. 186-197
No strongly regular graph is locally Heawood
Aleksandar Jurišić
;
Janoš Vidali
p. 198-206
Trigonometric sums in the metric theory of Diophantine approximation
E. I. Kavaleuskaya
p. 207-220
Quotient divisible groups and torsion-free groups corresponding to finite Abelian groups
E. I. Kompantseva
;
A. A. Fomin
p. 221-233
On some characters of group representations
D. Malinin
p. 234-243
Matrix equations of the system of phase synchronization
S. S. Mamonov
;
I. V. Ionova
;
A. O. Harlamova
p. 244-258
On problem of abstract definability of universal hypergraphic automata by input symbol semigroup
V. A. Molchanov
;
E. V. Khvorostukhina
p. 259-272
Introducing the interaction distance in the context of distance geometry for human motions
A. Mucherino
p. 273-283
On almost locally solvable Lie algebras with null Jacobson radical of a locally nilpotent radical for Lie algebras
O. A. Pikhtilkova
;
E. V. Meshcherina
;
A. A. Gorelik
p. 284-297
Differentiation of functions of quaternionic variable
N. S. Polyakova
p. 298-310
The transmission of sound through an elastic plate with an inhomogeneous coating adjoining viscous liquids
L. A. Tolokonnikov
;
T. S. Nguyen
p. 311-324
Analysis of spatial stress and velocity fields in plastic flow processes
N. D. Tutyshkin
;
V. Yu. Travin
p. 325-335
The mean value of products of Legendre symbol over primes
V. N. Chubarikov
p. 336-347
About Kolmogorov type of inequalities for periodic functions of two variables in
$L_2$
M. Sh. Shabozov
;
M. O. Akobirshoev
p. 348-365
Approximation of quadratic algebraic lattices by integer lattices
A. N. Kormacheva
p. 366-373
Arithmetic properties of series of some classes
E. S. Krupitsin
p. 374-382
Properties of elements of direct products of fields
V. Yu. Matveev
p. 383-390
On the
$\mathfrak{F}$
-hypercentral subgroups with the sylow tower property of finite groups
V. I. Murashka
p. 391-398
Trigonometric sums of nets of algebraic lattices
E. M. Rarova
p. 399-405
Outer billiards outside regular decagon: periodicity of almost all orbits and existence of aperiodic orbit
F. D. Rukhovich
p. 406-441
Fundamentals of formation in learning of research skills and ict competence in teaching solving tasks using a computer
M. M. Abdurazakov
;
D. D. Gadjiev
;
N. V. Guseva
;
G. V. Tokmazov
p. 442-461
Development of mathematical models of plastic media for resource-saving metal systems technologies
G. M. Zhuravlev
;
A. E. Gvozdev
;
A. P. Navoev
;
A. A. Zhukov
;
N. N. Dobrovol'sky
;
A. A. Shatulskiy
;
D. V. Malii
p. 462-477
From pre-classical physics to classical mechanics
E. A. Zaytsev
p. 478-487
Mathematical models of heating and melting of particles of fine-dispersed powder
E. V. Larkin
;
A. N. Privalov
p. 488-498
Simulation of computer systems with FIFO-discipline interrupt handling
E. V. Larkin
;
A. N. Privalov
p. 499-511
Dynamic effects in lattice structures produced by additive technologies
V. A. Levin
;
K. M. Zingerman
;
A. V. Vershinin
;
I. A. Podpruzhnikov
p. 512-522
Numerical estimation of effective properties of periodic cellular structures using beam and shell finite elements with CAE Fidesys
V. A. Levin
;
K. M. Zingerman
;
M. Ya. Yakovlev
;
E. O. Kurdenkova
;
D. V. Nemtinova
p. 523-536
Determination of material mathematical functions in the conditions of the duration of dilatating media from powder and ingot metal systems
E. S. Makarov
;
A. E. Gvozdev
;
G. M. Zhuravlev
;
I. V. Minaev
;
N. N. Dobrovol'sky
;
S. V. Sapozhnikov
;
A. A. Kalinin
p. 537-560
Historiographic discussion on the origin of Chinese astronomy
G. I. Sinkevich
p. 561-578
Alexander Alexandrovich Fomin (to the 70th anniversary)
V. N. Chubarikov
;
N. M. Dobrovolsky
;
V. A. Artamonov
;
A. V. Mikhalev
;
V. N. Latyshev
;
Yu. V. Nesterenko
;
A. Ya. Belov
;
A. V. Grishin
;
E. I. Kompantseva
;
A. V. Tsarev
;
E. I. Deza
;
P. A. Krylov
;
A. A. Tuganbaev
p. 579-582
Vladimir Grigorievich Chirskij (to the 70th anniversary)
N. M. Dobrovolsky
;
T. K. Ikonnikova
;
E. S. Krupitsin
;
V. Yu. Matveev
;
Yu. V. Nesterenko
;
V. N. Chubarikov
;
M. V. Shamolin
p. 583-593
Sommaire du
Fascicule no. 3
Naum Il'ich Feldman and the theory of transcendental numbers (to the centenary of the birth)
Yu. V. Nesterenko
p. 7-21
About scientific creativity of Askold Ivanovich Vinogradov
V. A. Bykovskii
p. 22-26
Alexander Vasilievich Malyshev and his research in number theory
U. M. Pachev
;
E. V. Podsypanin
p. 27-42
The main notions and theoremes of the geometry of numbers
A. V. Malyshev
p. 43-73
A few words about Boris Fadeevich Skubenko
B. Z. Moroz
p. 74-77
On the problem of periodic solution's stability under Hopf bifurcation
V. V. Abramov
;
E. Yu. Liskina
;
S. S. Mamonov
p. 78-91
Stochastic trends based on fuzzy mathematics
S. M. Agayan
;
Sh. R. Bogoutdinov
;
D. A. Kamaev
;
M. N. Dobrovolsky
p. 92-106
The structure of finite group algebra of a semidirect product of abelian groups and its applications
K. V. Vedenev
;
V. M. Deundyak
p. 107-123
Inaba extension of complete field of characteristic~
$0$
S. V. Vostokov
;
I. B. Zhukov
;
O. Yu. Ivanova
p. 124-133
On the role of two thermodynamic postulates in the phenomenological construction of continuum mechanics
D. V. Georgievskii
p. 134-142
Interrelation between Nikolskii--Bernstein constants for~trigonometric polynomials and entire functions of~exponential~type
D. V. Gorbachev
;
I. A. Martyanov
p. 143-153
On behavior of arithmetical functions, related to Chebyshev function
S. A. Gritsenko
;
E. Deza
;
L. V. Varukhina
p. 154-164
Behavior of finite automata in mazes
D. V. Gusev
p. 165-192
About three-dimensional nets of Smolyak I
N. N. Dobrovol'skii
;
D. V. Gorbachev
;
V. I. Ivanov
p. 193-219
About solutions of inverse problems sound waves diffraction
N. N. Dobrovol'skii
;
N. V. Larin
;
S. A. Skobel'tsyn
;
L. A. Tolokonnikov
p. 220-245
$n$
-crowns in toric tilings into bounded remander sets
A. A. Zhukova
;
A. V. Shutov
p. 246-260
Free rectangular
$n$
-tuple semigroups
A. V. Zhuchok
p. 261-271
On linear independence of the values of some hypergeometric functions over the imaginary quadratic field
P. L. Ivankov
p. 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
p. 282-295
Probabilistic methods of bypass of the labyrinth using stones and random number generator
E. G. Kondakova
;
A. Ya. Kanel-Belov
p. 296-315
On some
$3$
-primitive projective planes
O. V. Kravtsova
;
I. V. Sheveleva
p. 316-332
Mechanisms for the origin of hidden synchronization of dynamic systems
S. S. Mamonov
;
I. V. Ionova
;
A. O. Kharlamova
p. 333-348
On one sum of Hankel--Clifford integral transforms of Whittaker functions
J. Choi
;
A. I. Nizhnikov
;
I. Shilin
p. 349-360
Coleman norm and trace operators for polynomial formal groups
P. N. Pital
;
V. M. Polyakov
p. 361-371
Generalized Rauzy tilings and bounded remainder sets
A. V. Shutov
p. 372-389
The Jacobian Conjecture for the free associative algebra (of~arbitrary characteristic)
A. Belov-Kanel
;
L. Rowen
;
Jie-Tai Yu
p. 390-393
Extremal Nikolskii--Bernstein- and Tur\'an-type problems for~Dunkl~transform
D. V. Gorbachev
;
N. N. Dobrovolskii
p. 394-400
On a property of nilpotent matrices over an algebraically closed field
P. V. Danchev
p. 401-404
Estimations of the constant of the best simultaneous Diophanite approximations
Yu. A. Basalov
p. 405-429
The role of mathematics in the development of composite materials mechanics
I. K. Arkhipov
;
V. I. Abramova
;
A. E. Gvozdev
;
D. V. Malii
p. 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
p. 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
p. 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
p. 478-493
Relations between Polish and Moscow mathematicians in the first half of the XXth century
G. S. Smirnova
p. 494-505
Early works by Zhukovsky on the kinematics of a liquid body
I. A. Tyulina
;
V. N. Chinenova
p. 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
p. 514-532
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
p. 533-558
Sommaire du
Fascicule no. 4
From the editor
About the life and activities of academician Zarullo Husenovich Rakhmonov
V. N. Chubarikov
p. 6-31
About one additive problem Hua Loo Keng's
I. Allakov
;
A. Sh. Safarov
p. 32-45
On the exponents of the convergence of singular integrals and singular series of a multivariate problem
L. G. Arkhipova
;
V. N. Chubarikov
p. 46-57
On irrationality measure
$\mathop{\mathrm{arctg}}\frac{1}{2}$
M. G. Bashmakova
;
V. Kh. Salikhov
p. 58-68
On uniformly recurrent words generated by shifting segments, including with a change in orientation
A. Ya. Belov
;
A. L. Chernyatiev
p. 69-85
On separation of a class of degenerate differential operators in the Lebesgue space
M. G. Gadoev
;
S. A. Iskhokov
;
F. S. Iskhokov
p. 86-107
Application of integral formulas for solving ordinary differential equations of the second order with variable coefficients
V. I. Gorbachev
p. 108-123
On semilattice of Linux processes' states
N. N. Efanov
p. 124-136
Rauzy substitution and local structure of torus tilings
A. A. Zhukova
;
A. V. Shutov
p. 137-157
On linear independence of functions differentiated with respect to parameter
P. L. Ivankov
p. 158-169
Оn separability and coercive solvability of second-order nonlinear differential equations in the weight space
O. Kh. Karimov
p. 170-187
Assessment of the necessary initial economic resource in the Ramsey--Kass--Koopmans problem
A. I. Kozko
;
L. M. Luzhina
;
A. Yu. Popov
;
V. G. Chirskii
p. 188-196
Optimal exponent in the Ramsey--Kass--Koopmans problem with logarithmic utility function
A. I. Kozko
;
L. M. Luzhina
;
A. Yu. Popov
;
V. G. Chirskii
p. 197-207
Functional differential inclusions of Hale type with fractional order of derivative in a Banach space
M. I. Ilolov
;
D. N. Guljonov
;
J. Sh. Rahmatov
p. 208-225
On astimate of irrationality measure of the logariphms of some rational numbers
M. Y. Luchin
;
V. H. Salikhov
;
E. S. Zolotukhina
p. 226-235
Integrals and indicators of subharmonic functions.~II
K. G. Malyutin
;
M. V. Kabanko
;
T. I. Malyutina
p. 236-269
On units of a quaternion order of an indefinite anisotropic ternary quadratic form
U. M. Pachev
;
T. A. Shakova
p. 270-280
Short cubic exponential sums with Möbius function
Z. Kh. Rakhmonov
;
F. Z. Rahmonov
p. 281-305
Zeros of the Davenport--Heilbronn function in short intervals of the critical line
Z. Kh. Rakhmonov
;
Sh. A. Khayrulloev
;
A. S. Aminov
p. 306-329
On irrationality measure of
$\ln{\frac{5}{3}}$
V. Kh. Salikhov
;
E. S. Zolotukhina
;
E. B. Tomashevskaya
p. 330-338
Approximation of
$\ln{\frac{\sqrt{5}-1}{2}}$
by numbers of the field
$\mathbb Q\left(\sqrt{5}\right)$
V. Kh. Salikhov
;
E. S. Zolotukhina
p. 339-356
On boundedness of period lengths of continued fractions of key elements hyperelliptic fields over the field of rational numbers
G. V. Fedorov
p. 357-370
On the functions of Hardy zeros and its derivatives lying on the critical line
Sh. A. Khayrulloev
p. 371-384
Some problems of approximation of periodic functions by trigonometric polynomials in
$L_2$
M. Sh. Shabozov
p. 385-398
On the periodic part of the Shunkov group saturated with linear groups of degree 2 over finite fields of even characteristic
A. A. Shlepkin
p. 399-407
Mathematical modeling of structural elements destruction under dynamic load
G. M. Zhuravlev
;
V. G. Telichko
;
N. S. Kurien
;
A. E. Gvozdev
;
D. V. Maliy
p. 408-422
History of laser development and features of its application
I. V. Minaev
;
A. N. Sergeev
;
A. N. Kubanova
;
N. M. Dobrovolskiy
;
A. E. Gvozdev
;
S. N. Kutepov
;
D. V. Maliy
p. 423-438
Alexander Yakovlevich Khinchin
V. N. Chubarikov
p. 439-445
Nikolai Grigor'evich Chudakov
V. N. Kuznetsov
p. 446-449
Scholar and teacher. To the 80th anniversary
E. V. Manokhin
;
A. E. Ustyan
;
G. V. Kuznetsov
p. 450-457