Geodesic

Sommaire du Fascicule no. 1

Moscow talk: the theorem on approximation of trigonometric sum by a short one (ATS)
p. 6-18
Vienna talk: on the number of zeros of the Riemann zeta function in short intervals of the critical line
p. 19-31
Anatoly Alekseevich Karatsuba
p. 32-51
On the solution of the generalized matrix Sylvester equations
p. 52-66
Almost nilpotent varieties in different classes of linear algebras
p. 67-88
On the conference to the memory of Anatoly Alexeevitch Karatsuba on~number theory and applications
p. 89-152
How does the discriminant of integer polynomials depend on the distribution of roots?
p. 153-162
Simultaneous distribution of primitive lattice points in convex planar domain
p. 163-175
About the modern problems of the theory of hyperbolic zeta-functions of~lattices
p. 176-190
On the asymptotic distribution of algebraic numbers with growing naive height
p. 191-204
Joint disctrete universality of Dirichlet $L$-functions.~II
p. 205-218
Mixed joint universality for $L$-functions from Selberg’s class and periodic Hurwitz zeta-functions
p. 219-231
Short Weyl sums and their applications
p. 232-247
Generalized Estermann’s ternary problem for noninteger powers with almost equal summands
p. 248-253
Arithmetic properties of polyadic integers
p. 254-264
In the mountains with Tolya Karatsuba
p. 265-280
Asymmetry through the looking glass
p. 281-290
To the 75th anniversary of professor V. N. Bezverkhnii
p. 291-300
The 105-year anniversary of Vladimir Dmitrievich Podsypanin (16.01.1910--11.10.1968)
p. 301-316
The 95th anniversary of Vassiliy Ilyich Nechaev
p. 317-331

Sommaire du Fascicule no. 2

Письмо украинских коллег
p. 6-7
$\mathrm{BR}$-sets
p. 8-22
Structure of discriminant set of real polynomial
p. 23-34
Universal generalization of the continued fraction algorithm
p. 35-65
The universal formal group that defines the elliptic function of level~3
p. 66-78
Polyhedral structures associated with quasi-metrics
p. 79-92
Multi-colour bounded remainder sets
p. 93-116
Solution of polynomial equations in arbitrary orders
p. 117-132
On embedding random graphs into distance graphs and graphs of diameters in Euclidean spaces
p. 133-143
On a problem of finding non-trivial zeros of Dirichlet $L$-functions in number fields
p. 144-154
Bases of recurrent sequences
p. 155-185
On new properties of some varieties with almost polynomial growth
p. 186-207
Classification of tetrahedrons with not hyperbolic sides in a hyperbolic space of positive curvature
p. 208-221
О некоторых обобщениях сильно симметричных многогранников
p. 222-230
The arithmetic sum and Gaussian multiplication theorem
p. 231-253
Traces and distances in analytic function spaces in $C^n$ and Martinelly--Bochner integrals
p. 254-272
On rational directions in the flat lattice
p. 273-281
The creation of the geometrical drawings in Ti$k$Z
p. 282-295
Inversion of space and time and chaos of time on the Universe
p. 296-307
60 years Mikhail Vladimirovich Zaitsev
p. 308-310
60 years Sergey Petrovich Mishchenko
p. 311-312

Sommaire du Fascicule no. 3

Andrei Borisovich Shidlovskii
p. 6-34
On the density of lattice covering for $n=17$
p. 35-69
Inverse problems in integral formulas
p. 70-77
Distribution of algebraic points in domains of small measure and near the surfaces
p. 78-94
Lower estimate of Jackson's constant in $L_p$-spaces on the sphere with Dunkl weight function associated with dihedral group
p. 95-123
Extremal forms and rigidity in arithmetic geometry and in dynamics
p. 124-146
About minimal polynomial residual fractions for algebraic irrationalities
p. 147-182
Distribution of the zeros of linear combinations of $L$-Dirichlet functions lying on the critical line
p. 183-208
On a problem of Malyshev A. V. of integer points on multidimensional hyperboloids
p. 209-218
On the weighted number of integer points on some multidimensional hyperboloids
p. 219-245
Binary additive problem with numbers of special type
p. 246-275
Free commutative $g$-dimonoids
p. 276-284
On differentiation with respect to parameter
p. 285-294
On simultaneous approximations
p. 295-305
On tensegrity frameworks
p. 306-321
One construction of integral representations of $p$-groups and some applications
p. 322-338
Algebraic independence of certain almost polyadic series
p. 339-354
Essentially Baer modules
p. 355-375
Partitions of a hyperbolic plane of positive curvature by correct horocyclic $n$-trapezes
p. 376-416
To condition the maximal condition for subgroups of a locally solvable group
p. 417-421
Generalized matrix rings and generalization of incidence algebras
p. 422-449
Elementary of the complete rational arithmetical sums
p. 450-459
Simple and generalized elements search in nested arrays and their replacement
p. 460-478
Nested arrays and recursion
p. 479-495
Vectorization and nested arrays
p. 496-509

Sommaire du Fascicule no. 4

Vladimir Petrovich Platonov (to the 75 anniversary since the birth of)
p. 6-10
On bilinear complexity of multiplication of $m\times 2$ and $2\times 2$ matrices
p. 11-27
Statistic structure generated by randomize density
p. 28-40
The initial-boundary value problem for a singularly perturbed parabolic equation in the case of double and triple root of the degenerate equation
p. 41-76
Quadratic forms, algebraic groups and number theory
p. 77-89
Correlations between real conjugate algebraic numbers
p. 90-99
Hyperbolic zeta function of lattice over quadratic field
p. 100-149
On the width of verbal subgroups in some classes of groups
p. 150-163
Little Weyl groups and variety of degenerate horospheres
p. 164-187
Associative rings on vector groups
p. 188-199
Absolute ideals of almost completely decomposable abelian groups
p. 200-211
On coatoms and complements in congruence lattices of unars with Mal'tsev operation
p. 212-226
Old and new in the supercharacter theory of finite groups
p. 227-249
Calculation of the fundamental $S$-units in hyperelliptic fields of genus $2$ and the torsion problem in the jacobians of hyperelliptic curves
p. 250-283
On Hamiltonian closure on class of algebras with one operator
p. 284-302
The rate of convergence of the average value of the full rational arithmetic sums
p. 303-318
Mark Yakovlevich Vygodskiy~--- mathematician, historian of mathematics and teacher (to the 50 anniversary from the date of death)
p. 319-346