Contents

Mathematical Notes


Vol. 115, No. 3-4, 2024


Research Articles

On the Generation of the Groups \(\mathrm{SL}_n(\mathbb{Z}+i\mathbb{Z})\) and \(\mathrm{PSL}_n(\mathbb{Z}+i\mathbb{Z})\) by Three Involutions Two of Which Commute. II

M. A. Vsemirnov, R. I. Gvozdev, Ya. N. Nuzhin, and T. B. Shaipova p. 289  abstract

Convergence of the Fourier Series in Meixner–Sobolev Polynomials and Approximation Properties of Its Partial Sums

R. M. Gadzhimirzaev p. 301  abstract

On the Intermediate Values of the Lower Quantization Dimension

A. V. Ivanov p. 317  abstract

Chains with Diffusion-Type Couplings Contaning a Large Delay

S. A. Kashchenko p. 323  abstract

Trigonometric Polynomials with Frequencies in the Set of Cubes

M. R. Gabdullin, and S. V. Konyagin p. 336  abstract

On 5- and 6-Leaved Trees with the Largest Number of Matchings

N. A. Kuz’min, and D. S. Malyshev p. 341  abstract

Approximation by Refinement Masks

E. A. Lebedeva p. 352  abstract

On an Initial Value Problem for Nonconvex-Valued Fractional Differential Inclusions in a Banach Space

V. V. Obukhovskii, G. G. Petrosyan, and M. S. Soroka p. 358  abstract

A Note on \(L^1\)-Convergence of Fourier Series with Riesz Mean

H. S. Özarslan, and M. Ö. Şakar p. 371  abstract

On the Additive Complexity of Some Integer Sequences

I. S. Sergeev p. 378  abstract

Approximation Numbers of the Two-Dimensional Rectangular Hardy Operator

V. D. Stepanov, and E. P. Ushakova p. 390  abstract

On Periodicity of the Somos Sequences Modulo \(m\)

A. V. Ustinov p. 405  abstract

On Angles between Linear Subspaces in \(\mathbb R^4\) and the Singularity

A. O. Chebotarenko p. 414  abstract

On the Growth Function of \(n\)-Valued Dynamics

M. A. Chirkov p. 420  abstract

Khasminskii’s Theorem for the Kolmogorov Equation with Partially Degenerate Diffusion Matrix

S. V. Shaposhnikov, and D. V. Shatilovich p. 427  abstract


Short Communications

Sub-Riemannian Coarea Formula for Classes of Noncontact Mappings of Carnot Groups

M. B. Karmanova p. 439  abstract


Research Articles

Lichnerowicz Laplacian from the Point of View of the Bochner Technique

I. A. Aleksandrova, S. E. Stepanov, and I. I. Tsyganok p. 447  abstract

On the Boundedness of the Fractional Maximal Operator, the Riesz Potential, and Their Commutators in Orlicz Spaces

A. R. Aliev, and R. A. Aliev p. 453  abstract

Limit Theorem for the Moment of Maximum of a Random Walk Reaching a Fixed Level in the Region of Moderate Deviations

M. A. Anokhina p. 463  abstract

On the Convergence Rate in a Local Renewal Theorem for a Random Markov Walk

G. A. Bakai p. 479  abstract

On the Existence and Properties of Convex Extensions of Boolean Functions

D. N. Barotov p. 489  abstract

Group of Isometries of the Lattice \(K_0(\mathbb P_n)\)

I. S. Beldiev p. 506  abstract

S. R. Nasyrov’s Problem of Approximation by Simple Partial Fractions on an Interval

P. A. Borodin, and A. M. Ershov p. 520  abstract

Generalized Multiple Multiplicative Fourier Transform and Estimates of Integral Moduli of Continuity

S. S. Volosivets p. 528  abstract

Common Fixed Point Theorems for Contractive Mappings of Integral Type in \(b\)-Metric Spaces

Hongyan Guan, and Jinze Gou p. 538  abstract

Large Gaps between Sums of Two Squareful Numbers

A. B. Kalmynin, and S. V. Konyagin p. 555  abstract

On the Existence of Equivariant Kähler Models of Certain Compact Complex Spaces

Jin Hong Kim p. 561  abstract

Integral Representations of \(\mathrm{\zeta}(m)\)

Chunli Li, and Wenchang Chu p. 569  abstract

Hereditary Saturated Subsets and the Invariant Basis Number Property of the Leavitt Path Algebra of Cartesian Products

Min Li, Huanhuan Li, and Yuquan Wen p. 574  abstract

Quasi-Energy Function for Morse–Smale 3-Diffeomorphisms with Fixed Points with Pairwise Distinct Indices

O. V. Pochinka, and E. A. Talanova p. 588  abstract

Study of the Complete Oscillation, Rotation, and Wandering Properties of a Differential System by the First Approximation

I. N. Sergeev p. 599  abstract

Existence of Solutions for a Fourth-Order Periodic Boundary Value Problem near Resonance

Xiaoxiao Su, Ruyun Ma, and Mantang Ma p. 607  abstract

\(n\)-Dimensional Generalizations of a Thébault Conjecture

Q. H. Tran, and B. Herrera p. 618  abstract

Piercing Hyperplane Theorem

Burak Ünveren, and Guy Barokas p. 626  abstract

To the Continuation of Solution Germs

N. A. Shananin p. 630  abstract

On Locally Chebyshev Sets

K. S. Shklyaev p. 636  abstract


Short Communications

Meixner Multiple Orthogonal Polynomials on Interlacing Lattices

A. I. Aptekarev, A. V. Dyachenko, and V. G. Lysov p. 642  abstract

Notes on \(n\)-Ary Theories

T. S. Zambarnaya, and B. S. Baizhanov p. 647  abstract