Geodesic

Sommaire du Fascicule no. 1

On the divisibility problem for one-relator monoids
p. 3-9
Topological classification of spaces of probability measures for co-analytic sets
p. 10-19
On eigenfrequencies of bodies with thin branches. II. Asymptotics
p. 20-34
Matrix two-sided linear differential equations
p. 35-42
Kolmogorov widths in finite-dimensional spaces with mixed norms
p. 43-52
On an analog of Feller's theorem for multiple sums
p. 53-61
Compact three-dimensional manifolds with commutative fundamental group embedded into $\mathbb C\mathbb P^2$
p. 62-65
Extremum of a function obtained by ordering two specified smooth functions
p. 66-73
Bounded variation mappings and the method of modules
p. 74-78
A property of a circle in a two-dimensional Banach space
p. 79-83
On the strong differentiation of integrals of functions from H\"older classes
p. 84-104
Skeletal tilings of the plane into equal triangles
p. 105-116
On algebraic independence of some subclasses of hypergeometric functions
p. 117-129
Properties of algebras of binary functions
p. 130-140
On infinite nontangential boundary values of functions, subharmonic in a Lipschitz domain
p. 141-143
A polynomial expansion of $k$-valued functions with respect to nondegenerate functions
p. 144-149
Discrete subsets of topological groups
p. 150-151
On the structure of a lie-admissible algebra in the space of G\^ateaux differentiable operators
p. 152-153
Letter to the editor

Sommaire du Fascicule no. 2

Uniformly distributed sequences of $p$-adic integers
p. 3-46
On the representation of a number as a sum of two fourth powers
p. 47-58
The refinement of a constant in the density theorem
p. 59-61
The rate of convergence to the normal distribution law
p. 62-71
On fundamental Heronian triangles
p. 72-79
Modular hypothesis and Fermat's last theorem
p. 80-82
Quadrature formulas with combined grids
p. 83-90
Complexity of a determinate algorithm for the discrete logarithm
p. 91-101
Arithmetic problems of combinatorial analysis
p. 102-108
On the mean values of certain arithmetic functions
p. 109-117
On the number of classes of Gaussian genus whose arithmetic minimum is divisible by the square of a given odd number
p. 118-127
A limit theorem with weights for quadratic Dirichlet $L$-functions
p. 128-129
Some extremal properties of trigonometric sums
p. 130-143
Distribution of numbers with a given number of prime divisors in progressions
p. 144-156
On the distribution of numbers of a special form
p. 157-161
On a new approach to selecting the parameters of a two-dimensional sieve with weights
p. 162-173
On the linear independence of the values of $E$-functions at algebraic points
p. 174-185
Information
p. 186-187
Decision of International Conference ``Modern Problems of Number Theory''

Sommaire du Fascicule no. 3

Whitney folds in phase spaces of some semilinear Sobolev-type equations
p. 3-10
On motion of the point algebraic singularity for two-dimensional nonlinear equations of hydrodynamics
p. 11-20
On a sequence of generalized Bers exponential functions with interior structure
p. 21-34
The Cantor set as an $\omega$-limit set for iterations of a smooth function on a segment
p. 35-47
Metric spaces of semicontinuous functions
p. 48-58
On estimates of degrees of linear independence for some numbers
p. 59-67
The problem of generators in certain rings of analytic functions
p. 68-75
Dependence of strict homological dimension of $C(\Omega)$ on the topology of $\Omega$
p. 76-83
On a regularization of second-order weakly nonlinear elliptic equations with implicit degeneration
p. 84-95
On an integral equation of the form
p. 96-108
Determination of a parameter of a parabolic equation in Hilbert's structure
p. 109-117
Complete and minimal exponential systems in spaces $L^p(\mathbb R)$
p. 118-129
Approximations to the solution of the Weyl and the Dirac equations by means of spherical averages
p. 130-138
Elliptical billiard table with Newtonian potential
p. 139-140

Sommaire du Fascicule no. 4

Valerii Evgen'evich Tarakanov
On the best polynomial approximation in some Banach spaces for functions analytical in the unit disk
p. 6-14
New version of the Lagrange approach to the dynamics of a viscous incompressible fluid
p. 15-24
On a nonlinear ordinary differential equation
p. 25-34
Chebyshev systems of locally analytic functions
p. 35-46
Stability estimates of continuous selections for metric almost-projections
p. 47-53
Solubility of the Cauchy problem for differential equations in scales of Banach spaces with completely continuous embeddings
p. 54-64
On the connection of the classical and quantum mechanical completeness of a potential at infinity on complete Riemannian manifolds
p. 65-73
On bisingular operators in the space $L_p(\mathbb R^2)$ with some invariance conditions
p. 74-82
Cyclic binary matrices and groups of their permutation automorphisms
p. 83-95
Some properties equivalent to property $(A)$ of a uniform space and its heredity
p. 96-103
On interpolation properties of exterior functions in Kolmogorov superpositions
p. 104-113
The group of congruence coefficients of a canonical quadratic form and stable rationality of the $PSO$ variety
p. 114-119
Isomorphisms of algebras of binary functions
p. 120-127
Inscribed and circumscribed polyhedra of a convex body
p. 128-130
Algorithm for finding a proportional equilibrium
p. 131-134
Andersen's parabolic problem on a regular tree
p. 135-137
Convergence in distribution of almost all sums of independent random elements to a stable law
p. 138-140

Sommaire du Fascicule no. 5

Geometric invariants of a $CR$-manifold
p. 3-12
Images of wavelets under the influence of convolution operators
p. 13-24
On the measure of the set of periodic points of the billiard
p. 25-35
Quasi-modes corresponding to the stable type of conditionally periodic motion
p. 36-42
Computability of the set of computable indexing schemes of the class of constructable models
p. 43-50
Properties and asymptotic behavior of solutions of some problems of one-dimensional motion of a viscous barotropic gas
p. 51-68
Nonsymmetric Toeplitz matrices that commute with tridiagonal matrices
p. 69-79
Relation between the functors Hom and Tor over the ring of $p$-adic integers
p. 80-87
Isoenergetic classification of integrable Hamiltonian systems in a neighborhood of a simple elliptic point
p. 88-97
Computation of the $K$-functional for pairs of matrix spaces
p. 98-109
On quadrics of higher codimension
p. 110-115
Uniqueness of the solution of the Cauchy problem for a first order quasilinear equation with one admissible strictly convex entropy
p. 116-129
Extremal values of a class of functionals under restrictions on moments
p. 130-141
Description of the algebra of infinitesimal automorphisms of quadrics of codimension two and their classification
p. 142-153
Letter to the editor about A.\,I.~Zvyagintsev's paper ``Extremal problem on the norm of an intermediate derivative''
p. 154-156

Sommaire du Fascicule no. 6

On self-adjoint operators connected by inequalities and on their applications to problems of mathematical physics
p. 3-12
Uniqueness and stability of generalized solutions for a class of quasilinear systems of composite type equations
p. 13-31
Rings of continuous functions and their maximal spectra
p. 32-49
Quasiconformal extremals of the energy integral
p. 50-58
On two problems from the Kourovka Notebook
p. 59-63
On a class of torsion-free Abelian groups of finite rank
p. 64-72
On polynomial congruences
p. 73-79
Unimprovable derivative estimates of a solution of the Dirichlet problem for a biharmonic equation in bounded domains
p. 80-89
$K$-automorphism class of algebras of binary functions
p. 90-102
On the coboundedness of functions on a torus
p. 103-110
Finite groups with ${\mathfrak f}$-abnormal or ${\mathfrak f}$-subnormal subgroups
p. 111-115
On singularities of solutions of the Schr\"odinger equation for a~free particle
p. 116-123
Behavior of rapidly decreasing asymptotic solutions of linearized Navier--Stokes equations $t\to\infty$
p. 124-145
The absence of mixing in special flows over rearrangements of segments
p. 146-149