Geodesic

Tome 21 (2020) no. 3

Sommaire

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