Geodesic

Volume 22 (2021) no. 4

Sommaire

From the editorial board
Gaussian sums and their application to the proof of quadratic reciprocity law
p. 7-87
On the problem of conjugacy of words in a certain class of subgroups of Artin groups
p. 88-99
Nikol'skii constants for compact homogeneous spaces
p. 100-113
Riesz potential for (k,1)-generalized Fourier transform
p. 114-135
Properties and application of a positive translation operator for (k,1)-Generalized Fourier transform
p. 136-152
Dynamic processes in the economics of multilateral network platforms
p. 153-167
On the hyperbolic parameter of a two-dimensional lattice of comparisons
p. 168-182
Partial orders and idempotents of monoids
p. 183-199
Estimates of short exponential sums with primes in major arcs
p. 200-224
Sound waves diffraction by an elastic cylinder with inhomogeneous anisotropic outer layer near the plane
p. 225-240
On a class of factors of the Chebyshev polynomials
p. 241-252
On the existence of RR-polyhedra associated with the icosahedron
p. 253-264
On the bifurcation of the solution of the Fermat--Steiner problem under 1-parameter variation of the boundary in H(R2)
p. 265-288
The relation between the continuity of the lengths of curves and the continuity of distances in the case of boundedly compact metric spaces
p. 289-305
On multiple rational trigonometric sums over a field of algebraic numbers
p. 306-323
Kharkiv school of M. I. Kadets and mathematics of Tula
p. 324-331
Diffraction of a plane sound wave by an elastic sphere with an inhomogeneous transversal isotropic layer
p. 332-343
On diameter bounds for planar integral point sets in semi-general position
p. 344-351
Mathematical effective equation of unloading of porous metal composite materials
p. 352-360
New megastable system with 2-D strip of hidden attractors and analytical solutions
p. 361-369
Defining equations of deformation of materials with double anisotropy
p. 370-384
To the memory of Valentin Fedorovich Butuzov
p. 385-387