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JOURNALS // Chebyshevskii Sbornik // Archive

2024, Volume 25, Issue 3


Vladimir Grigorievich Chirskii (on the 75-th anniversary of his birth)
A. I. Shafarevich, E. I. Deza, N. M. Dobrovolskii, A. O. Ivanov, A. I. Kozko, E. S. Krupitsyn, V. Y. Matveev, Y. V. Nesterenko, A. L. Semenov, V. N. Chubarikov, M. V. Shamolin, N. N. Dobrovolskii
5
On the simultaneous representation of numbers by the sum of five prime numbers
I. A. Allakov, B. Kh. Erdonov
11
On strongly star ideal compactness of topological spaces
P. Bal, R. Das, S. Sarkar
37
Sandpile patterns on a regular graph of degree eight
P. V. Granin, N. S. Kalinin, A. S. Saakyan
47
Solving inequalities using radical and adjacent functions
A. I. Denisov, I. V. Denisov
70
Characterization of the Dedekind and countably Dedekind extensions of the lattice linear space of continuous bounded functions by means of order boundaries
V. K. Zakharov, T. V. Rodionov
86
Existence of irreducible multitours of multiplicity $2$
A. O. Ivanov, O. S. Shcherbakov
101
The faithful enveloping rings of the nil-triangular ring of type $G_2$ and their automorphisms
A. V. Kazakova
118
The Sturm–Liouville operator with rapidly growing potential and the asymptotics of its spectrum
A. Kachkina
143
The Apollonius problem for two objects and study of it
A. S. Kashina, L. M. Tsybulya
158
Estimates of approximations of functions by trigonometric polynomials in spaces with an asymmetric norm and sign-sensitive weight
A. I. Kozko
177
Reduction of the mathematical model of some problems of mathematical economics to systems of differential equations that can be solved in quadratures
A. I. Kozko, L. M. Luzhina, A. Yu. Popov, V. G. Chirskii
187
Isospectral and partially isospectral Dirac operators on the finite interval
O. E. Mirzaev, T. G. Khasanov
201
Appel polynomials associated with Fourier transforms and their applications to differential equations
A. I. Nizhnikov, O. E. Yaremko, N. N. Yaremko
213
Quaternion algebras with unitary involutions having the same subfields
S. V. Tikhonov
226
On problem of generalized conjugation of words in a generalized tree structures of Artin groups
A. S. Ugarov, I. V. Dobrynina
236
On an algorithm for solving the problem of power conjugacy of words in generalized tree structures of Artin groups
A. S. Ugarov, I. V. Dobrynina
248
Arithmetic properties of values of divergent in $\mathbb{C}$ series
V. G. Chirskii
259
Tensor invariants of fifth-order dynamical systems with dissipation
M. V. Shamolin
270
On the validity of 0-1 law for shallow first order properties of very sparse random graphs
R. R. Shefrukova
299

BRIEF MESSAGE
A certain formula of Liouville
Yu. V. Andrianova, V. B. Sherstyukov
335
About one Briot–Bouqet equation
V. A. Gorelov, K. I. Orlov, P. E. Volkov
343
On the formation of soft norms for evaluating the functioning of complex systems
R. A. Zhukov, S. V. Prokopchina
351
A measure of the transcendence of the Liouville number in the $p$-adic domain
E. S. Krupitsyn
359
Infinite algebraic independence of some almost polyadic numbers
V. Y. Matveev
365
On special extremal sets associated with the multiplication table of P. Erdős
Yu. N. Shteinikov
373

HISTORY OF MATHEMATICS AND APPLICATIONS
Unsteady sound scattering by an elastic cylinder with a continuously non-uniform coating
N. V. Larin, A. E. Belkin
381
On the canonical Ramsey theorem of Erdős and Rado: a short proof using ultrafilter theory
N. A. V. Mir, N. L. Poliakov
396
Scattering of a plane sound wave by a cylinder with an inhomogeneous elastic coating in a moving medium
L. A. Tolokonnikov, S. L. Tolokonnikov
408


© Steklov Math. Inst. of RAS, 2026