Contents

Mathematical Notes


Vol. 113, No. 3-4, 2023


Research Articles

Optimal Graphs with Prescribed Connectivities

M. B. Abrosimov, and B. A. Terebin p. 319  abstract

Solution of the Quantum Three-Body Problem in a Neighborhood of the Three-Particle Forward Scattering Direction

A. M. Budylin, and S. B. Levin p. 327  abstract

A Characterization of Separable Hypersurfaces in Euclidean Space

D. Chen, C. X. Wang, and X. S. Wang p. 339  abstract

On the Dimension of the Space of Weakly Additive Functionals

R. E. Jiemuratov p. 345  abstract

Riesz Transform for the One-Dimensional \((k,1)\)-Generalized Fourier Transform

V. I. Ivanov p. 356  abstract

Enveloping of the Values of an Analytic Function Related to the Number \(e\)

A. B. Kostin, and V. B. Sherstyukov p. 368  abstract

On Numbers Not Representable as \(n+w(n)\)

P. A. Kucheryavyi p. 384  abstract

On Power Series Related to Multivariate Records

A. V. Lebedev p. 396  abstract

Explicit Formulas for the Matrix Logarithm and the Principal Matrix Logarithm

M. Mouçouf, and S. Zriaa p. 406  abstract

Frobenius Relations for Associative Lie Nilpotent Algebras

S. V. Pchelintsev p. 414  abstract

On Polynomials Defined by the Discrete Rodrigues Formula

V. N. Sorokin p. 420  abstract

Topological and Homological Properties of the Orbit Space of a Simple Three-Dimensional Compact Linear Lie Group

O. G. Styrt p. 434  abstract

Some Algebraic Properties of Hermite–Padé Polynomials

S. P. Suetin p. 441  abstract

Local Extremal Interpolation on the Semiaxis with the Least Value of the Norm for a Linear Differential Operator

V. T. Shevaldin p. 446  abstract


Short Communications

On Some Identities with Binomial Coefficients

V. A. Voblyi p. 453  abstract

Counterexamples to the Hardy–Littlewood Theorem for Generalized Monotone Sequences

M. I. Dyachenko, and K. A. Oganesyan p. 458  abstract

On a Class of Functionals Feynman Integrable in the Sense of Analytic Continuation

E. S. Kolpakov p. 464  abstract

Direct Theorems on Approximation of Periodic Functions with High Generalized Smoothness

N. V. Laktionova, and K. V. Runovskii p. 469  abstract


Research Articles

Weak Convergence of a Greedy Algorithm and the WN-Property

P. A. Borodin p. 475  abstract

Spectral Test for Exponential Stability

I. D. Kostrub, and A. I. Perov p. 480  abstract

Equality of Dimensions for Some Paracompact \(\sigma\)-Spaces

I. M. Leibo p. 488  abstract

Differential and Integral Operations in Hidden Spherical Symmetry and the Dimension of the Koch Curve

L. N. Lyakhov, and E. L. Sanina p. 502  abstract

Uniqueness of the Solution of a Class of Integral Equations with Sum-Difference Kernel and with Convex Nonlinearity on the Positive Half-Line

H. S. Petrosyan, and Kh. A. Khachatryan p. 512  abstract

Refinement of the Estimate for the Rate of Uniform Convergence of the Fourier Series of a Continuous Periodic Function of Bounded Variation

A. Yu. Popov, and T. Yu. Semenova p. 525  abstract

Asymptotics of the Number of End Positions of a Random Walk on a Directed Hamiltonian Metric Graph

D. V. Pyat’ko, and V. L. Chernyshev p. 538  abstract

On the Number of Minimum Dominating Sets in Trees

D. S. Taletskii p. 552  abstract

\(\mathrm{SOR}\)-Like Method for a New Generalized Absolute Value Equation

Shuan Yang, and Shi-Liang Wu p. 567  abstract

Green’s Function and Existence Results for Solutions of Semipositone Nonlinear Euler–Bernoulli Beam Equations with Neumann Boundary Conditions

Jingjing Wang, Chenghua Gao, and Xingyue He p. 574  abstract


Short Communications

Kolmogorov Widths of the Intersection of Two Finite-Dimensional Balls in a Mixed Norm

A. A. Vasil’eva p. 584  abstract

Jordan Constant for the Cremona Group of Rank Two over a Finite Field

A. V. Vikulova p. 587  abstract

On One-Dimensional Contracting Repellers of \(A\)-Endomorphisms of the 2-Torus

V. Z. Grines, and D. I. Mints p. 593  abstract

Controllability to Rest for the “Plate Oscillation” Equation on the Torus in the Case of Local Force Action

I. V. Romanov, and A. S. Shamaev p. 598  abstract

Hodge and Mumford–Tate groups of an Abelian Variety, Complex Multiplication, and Frobenius Elements

S. G. Tankeev p. 601  abstract

Reidemeister Classes in Some Lamplighter-Type Groups

E. V. Troitsky p. 605  abstract