Geodesic

Sommaire du Fascicule no. 1

From the editor
Vladimir Petrovich Platonov
p. 7-8
Analytical and number-theoretical properties of the two-dimensional sigma function
p. 9-50
Noncommutative Bia\l{}ynicki--Birula theorem
p. 51-61
On representation varieties of some one-relator products of cyclic groups
p. 62-81
Finite cyclic semirings with semilattice additive operation defined by two-generated ideal of natural numbers
p. 82-100
Multiplication
p. 101-134
On algebraic identities between solution matrices of generalized hypergeometric equations
p. 135-144
On special properties of some quasi-metrics
p. 145-164
Inverse problem for a monoid with an exponential sequence of
p. 165-185
On elementary theories of algebraically closed groups
p. 186-199
On linear approximating forms
p. 200-212
Intervals of small measure containing an algebraic number of given height
p. 213-220
Kloosterman sums with primes and the solvability of one congruence with inverse residues~---~II
p. 221-232
The space of Dirichlet series to multivariate lattices and the algebra of Dirichlet series of grids, repetitive multiplication
p. 233-246
Nikolskii constant for trigonometric polynomials with periodic Gegenbauer weight
p. 247-258
Asymptotic structure of eigenvalues and eigenvectors of certain triangular Hankel matrices
p. 259-272
Periodic elements $\sqrt{f}$ in elliptic fields with a field of constants of zero characteristic
p. 273-296
On the completenes of the list of convex $RR$-polyhedra
p. 297-309
Determination of the displacement field in an inhomogeneous coating of an elastic plate when passing through her plane sound wave
p. 310-321
On families of hyperelliptic curves over the field of rational numbers, whose Jacobian contains torsion points of given orders
p. 322-340
On a mean-value theorem for multiple trigonometric sums
p. 341-356
On the size of the set of the product of sets of rational numbers
p. 357-363
On the values of Beatty sequence in an arithmetic progression
p. 364-367
The Hensel--Shafarevich canonical basis in Honda formal modules
p. 368-373
On generalization of mean value
p. 374-380
Minimal morsifications for functions of two real variables
p. 381-387
About the Russian scientific school of diophantine approximations
p. 388-403
Vassiliy Ilyich Nechaev. To the 100-th anniversary
p. 404-414

Sommaire du Fascicule no. 2

From the editor
Anatolii Timofeevich Fomenko
p. 5-7
Liouville classification of integrable geodesic flows on a projective plane in a potential field
p. 10-25
On the properties of the cobordism group of stably-framed immersions in codimension~$k$
p. 26-36
Peculiar spaces for relativistic fields
p. 37-42
PMP, (co)adjoint representation, and normal geodesics, of left-invariant (sub-)Finsler metric on Lie groups
p. 43-64
Ideal right-angled polyhedra in Lobachevsky space
p. 65-83
Differential inclusions with mean derivatives, having aspherical right-hand sides
p. 84-93
Mapping degrees between homotopy space forms
p. 94-108
On nonlocal modified gravity
p. 109-138
On the retracts of finite-dimensional spaces, generated by coercive mappings
p. 139-143
Optimal feedback control for one motion model of a nonlinearly viscous fluid
p. 144-158
On the values of hypergeometric functions
p. 159-168
Gromov--Hausdorff distances to simplexes and some applications to discrete optimisation
p. 169-189
Estimation of the Inclusive Development Index Based on the REL-PCANet Neural Network Model
p. 190-206
Generalized chessboard complexes and discrete Morse theory
p. 207-227
Classification of saddle-focus singularities
p. 228-243
Bifurcations of integrable mechanical systems with magnetic field on surfaces of revolution
p. 244-265
About new examples of Serre curves
p. 266-274
Quantum integrability for the Beltrami--Laplace operators of projectively equivalent metrics of arbitrary signatures
p. 275-289
Recognition and tabulation of $3$-manifolds up to complexity~$13$
p. 290-300
On topological characteristics for some classes of multivalued mappings
p. 301-319
Integrable systems in planar robotics
p. 320-340
On traveling waves in systems of absolutely elastic particles on a straight line
p. 341-361
Classification of $k$-forms on $\mathbb{R}^n$ and the existence of associated geometry on manifolds
p. 362-382
On the Mishchenko--Fomenko hypothesis for a generalized oscillator and Kepler system
p. 383-402
The mean-value theorem for trigonometric sums on the sequence of binomial type polynomials
p. 403-416

Sommaire du Fascicule no. 3

From the editor
Boris Beniaminovich Lur'e
p. 6-9
To the 75th anniversary of Sergei Vladimirovich Vostokov
p. 10-14
To the 80th anniversary of Anatoly Vladimirovich Yakovlev
p. 15-17
On the trigonometric sum modulo subdivision of the real axis
p. 18-28
The hearts of weight structures are the weakly idempotent complete categories
p. 29-38
Schnirelmann's integral and analogy of Cauchy integral theorem for two-dimensional local fields
p. 39-58
Inaba extension of complete field of characteristic~$0$
p. 59-67
On Langlands program, global fields and shtukas
p. 68-83
Representing matrices over fields as square-zero matrices and diagonal matrices
p. 84-88
The Braun--Kemer--Razmyslov theorem for affine $PI$-algebras
p. 89-128
Mathematical model of a digital control system with background controllers of the Neuman type for complex multicirculated objects
p. 129-141
Lower estimates of polynomials and linear forms in the values of $F$-series
p. 142-164
Smooth manifold of one-dimensional lattices
p. 165-185
On the asymptotic behavior of some sums involving the number of prime divisors function
p. 186-195
On the mean value of functions related to the divisors function in the ring of polynomials over a finite field
p. 196-214
Approximation of quadratic algebraic lattices by integer lattices~---~II
p. 215-222
Quality function for the approximation of quadratic algebraic nets~---~II
p. 223-231
Asymptotic estimation for trigonometric sums of algebraic grids
p. 232-240
Hyperbolic parameter of approximation of quadratic algebraic lattices
p. 241-249
Best quadrature formulas calculation of curvilinear integrals for some classes of functions and currves
p. 250-261
Mathematical modeling of elasticity properties in the mechanics of composite materials
p. 262-271
Empirical mathematical models of plasticity, strength and wear resistance of materials on the example of P18 steel
p. 272-291
The development of a mathematical complex for modeling the progress of destruction of composite structures based on hight-speed deformation models
p. 292-305
Legendre spectral element for plastic localization problems at large scale strains
p. 306-316
The 80th anniversary of professor Vladimir Nikolaevich Bezverkhnii
p. 317-335
Letter to the Editor
p. 336-338

Sommaire du Fascicule no. 4

From the editor
Decision of the XVIII International Scientific Conference "Algebra, number theory and discrete geometry: modern problems, applications and problems of history dedicated to the 100th anniversary of the birth of professors B. M. Bredikhin, V. I. Nechaev and S. B. Stechkin
p. 7-8
Stechkin's works in number theory
p. 9-18
Boris Maximovich Bredikhin and his scientific and pedagogical activity
p. 19-28
Markov--Bernstein--Nikol'skii constants for polynomials in~$L^{p}$-space with the Gegenbauer weight
p. 29-44
Novel bounds of algebraic Nikol'skii constant
p. 45-55
On ``simple'' algorithmically undecidable fragments of elementary theory of an infinitely generated free semigroup
p. 56-71
A discrete approach for solving the variation problem of the density functional theory in real space
p. 72-84
Bounded translation operator for the $(k,1)$-generalized Fourier transform
p. 85-96
Weighted inequalities for Dunkl--Riesz transforms and Dunkl gradient
p. 97-106
$\omega\sigma$-fibered Fitting classes
p. 107-116
Existence and uniqueness theorems for solutions of inverse problems of projective geometry for 3D reconstruction from photographs
p. 117-128
The images of multilinear non-associative polynomials evaluated on a rock-paper-scissors algebra with unit over an arbitrary field and its subalgebras
p. 129-139
A compactness result for non-periodic structures and its application to homogenization of diffusion-convection equations
p. 140-151
Pairs of microweight tori in ${\operatorname{GL}}_n$
p. 152-161
The regularity of the transform of Laplace and the transform of Fourier
p. 162-170
Local coordinate systems on quantum flag manifolds
p. 171-195
N.~M.~Korobov, V.~I.~Nechaev, S.~B.~Stechkin, N.~M.~Dobrovolsky and the revival of the Tula School of number theory
p. 196-217
On approximation of classes of analytic periodic functions by Fejer means
p. 218-226
Arithmetic properties of direct product of $p$-adic fields elements
p. 227-242
Linear combination of the Upwind and Standard Leapfrog difference schemes with weight coefficients, obtained by minimizing the approximation error
p. 243-256
Numerical study of the propagation of a small shock wave intensity from a homogeneous gas to an electrically charged dusty environment
p. 257-269
A generalized Binomial theorem and a summation formulae
p. 270-301
Nikolskii--Bernstein constants in $L^{p}$ on~the~sphere with~Dunkl~weight
p. 302-307
On the weak universality theorem
p. 308-313
Development of scientific and technological foundations for a new environmentally friendly and waste-free process for grinding conductive waste into micro- and nanofractions powders
p. 314-326
On the evolution of mathematical models of friction sliding of solids
p. 327-332
On the role of mathematical calculations in the expert study of the processes of structure formation and phase transformations in metal materials
p. 333-339
Metaphysics of the Moscow mathematical school on the border of XIX--XX centuries
p. 340-353
Determination of the inhomogeneity laws of a cylinder covering located in a plane waveguide for providing minimum sound reflection
p. 354-368
Scattering of a plane sound waves by an elastic cylinder with an non-uniform coating situated near to a flat surface
p. 369-381
Mathematical modeling of the stress-strain state in metallic media based on the concept of force lines
p. 382-395
On the scientific works of Dmitry Alexandrovich Popov
p. 396-421
Sergei Ivanovich Adian
Ernest Borisovich Vinberg
Victor N.~Latyshev
Evgeny Vladimirovich Podsypanin
p. 425-426
Mikhail Alexandrovich Shubin