Mathematical Notes

Papers
(The median citation count of Mathematical Notes is 0. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-08-01 to 2025-08-01.)
ArticleCitations
Pivotal Weak Turaev $$\pi$$-Coalgebras28
Weighted Estimates of the Fractional Type Marcinkiewicz Integral and Its Commutator on Morrey–Guliyev Spaces18
A Note on $$L^1$$-Convergence of Fourier Series with Riesz Mean18
Recognizability of the Groups $$PSp_8(7^m)$$ by the Set of Element Orders10
Weak Leibniz Algebras10
A New Proof of a Result Concerning a Complete Description of $$ (n, n + 2) $$-Graphs with Maximum Value of the Hosoya Index9
On the Gauss Maps of Minimal Surfaces Sharing Hyperplanes in Subgeneral Position9
Finite Groups in Which Maximal Subgroups of Sylow $$p$$-Subgroups are $$\mathcal{M}$$-Permutable9
Uniqueness of the Solution of the Inverse Problem for a Model of the Dynamics of an Age-Structured Population8
On the Solvability of Nonlinear Parabolic Functional-Differential Equations with Shifts in the Spatial Variables8
On the Krein–Rechtman Theorem in the Presence of Multiple Points7
Some Algebraic Properties of Hermite–Padé Polynomials7
On the Reverse Dzyadyk Inequality for Polynomials with Zeros on a Closed Interval7
On the Representation of Sobolev Systems Orthogonal with Respect to the Inner Product with One Discrete Point7
Strong Polynomial Completeness of Almost All Quasigroups7
Any Chebyshev Curve without Self-Intersections Is Monotone7
Lauricella Function and the Conformal Mapping of Polygons7
Jackson–Stechkin Type Inequalities between the Best Polynomial Approximations and Generalized Moduli of Continuity in the Weighted Bergman Space $$\mathscr{B}_{2,\gamma}$$7
S. R. Nasyrov’s Problem of Approximation by Simple Partial Fractions on an Interval6
Approximate Controllability from the Exterior for a Nonlocal Sobolev–Galpern Type Equation6
Complex Appell–Bessel Functions and Their Degenerate Analogs6
On the Growth Function of $$n$$-Valued Dynamics6
Solution of a Boundary Value Problem for a System of Integro-Differential Equations Arising in a Model of Plasma Physics6
On the $$p(x)$$-Curl-System Problem with Indefinite Weight and Nonstandard Growth Conditions6
Lattices of Extensions of Cyclically Ordered Sets and Compactifications of Generalized Cyclically Ordered Spaces6
On the Boundedness of the Fractional Maximal Operator, the Riesz Potential, and Their Commutators in Orlicz Spaces6
Auslander Condition and Gorenstein Rings6
Existence of Common Fixed Points of Generalized Set-Contractions on a $$b$$-Metric Space with a Directed Graph6
$$\pmb N$$-Laplacian Equation with a Nonlinear Neumann Boundary Condition and a Singular Nonlinearity5
On a Refinement of the Schneider–Lang theorem5
On the Number of Minimum Dominating Sets in Trees5
Fractional Kinetic Equations5
Extremality of Gibbs Measures for the $$HC$$-Blume–Capel Model on the Cayley Tree5
Average Dimension of Shift Spaces and Their Subspaces5
Counterexamples to the Hardy–Littlewood Theorem for Generalized Monotone Sequences5
Quotients of Dense Subsets of Integers and Short Distances between Product Elements5
Characterizations of $$\sigma$$-Solvable Finite Groups5
On the Torsion in the Group $$F/[M,N]$$ in the Case of Combinatorial Asphericity of the Groups $$F/M$$ and $$F/N$$5
On Weyl Multipliers for Unconditional Convergence of Series in Ciesielski Systems5
On a Polynomial Version of the Sum-Product Problem for Subgroups5
Local Extremal Interpolation on the Semiaxis with the Least Value of the Norm for a Linear Differential Operator5
Basic Predicate Calculus is Sound with Respect to a Modified Version of Strictly Primitive Recursive Realizability5
Yudin–Hermite Extremal Problems for Polynomials4
Spectral Expansion for Nonself-Adjoint Differential Operators with Periodic Matrix Coefficients4
Constructive Semiclassical Asymptotics of Bound States of Graphene in a Constant Magnetic Field with Small Mass4
A Mixed Problem for a Class of Second-Order Nonlinear Hyperbolic Systems with Dirichlet and Poincaré Boundary Conditions4
On a Finite Group Generated by Subnormal Supersoluble Subgroups4
On the Convergence of Negative-Order Cesàro Means of Fourier and Fourier–Walsh Series4
On Sufficient Conditions for the Consistency of Local Linear Kernel Estimators4
A Finite Group with a Maximal Miller–Moreno Subgroup4
Weakly Dissipative Linear Dynamical Systems and a Quadratic Keldysh Pencil4
Behavior of Solutions to the Fuzzy Difference Equation $$z_{n+1}=A+\dfrac{B}{z_{n-m}}$$4
Asymptotic Solutions of Flow Problems with Boundary Layer of Double-Deck Structures4
On Embeddings in the Class of Partially Commutative Nilpotent Groups4
On the Connection between the Growth of Zeros and the Decrease of Taylor Coefficients of Entire Functions4
Approximation of Mathieu Functions by Parabolic Cylinder Functions4
Eta-Invariants for Parameter-Dependent Operators Associated with an Action of a Discrete Group4
Approximation Numbers of the Two-Dimensional Rectangular Hardy Operator4
On Power Series Related to Multivariate Records4
On Analogues of Heilbronn’s Theorem4
Embedding of Free Nilpotent (Metabelian) Groups in Partially Commutative Nilpotent (Metabelian) Groups4
Asymptotics of the Relaxation Cycle in the Modified Logistic Equation with Delay4
On Algebraic Properties of Integrals of Products of Some Hypergeometric Functions4
Periodic Gibbs Measures and Their Extremality for the HC-Blume–Capel Model in the Case of a Wand with a Chemical Potential on a Cayley Tree4
Almost Geodesic Mappings and Projections of the Sphere4
The Cost of Symmetry in Connected Graphs4
Lacunary Recurrence Relations with Gaps of Length 8 for the Bernoulli and Euler Polynomials4
Estimate of the Convergence Rate in the Riemann Localization Principle for Trigonometric Fourier Series of Continuous Functions4
$$\beta_1$$-Triangulations of 3-Manifolds3
On the Asymptotics of the Traveling Wave Velocity on a Saddle-Node Trajectory3
On the Properties of Rings of Integro-Differential Operators and Their Corresponding Equations3
Limit Theorem on Convergence to the Local Time of a Brownian Bridge3
Erratum to: Exact Discretization of the $$L_2$$-Norm with Negative Weight3
Lichnerowicz Laplacian from the Point of View of the Bochner Technique3
On the Best Simultaneous Approximation in the Bergman Space $$B_2$$3
On Disjointness-Preserving Biadditive Operators3
Maslov Viktor Pavlovich (1930–2023)3
Sub-Riemannian Coarea Formula for Classes of Noncontact Mappings of Carnot Groups3
Basic Predicate Calculus is not Sound with Respect to the Strong Variant of Strictly Primitive Recursive Realizability3
On the Delocalization of a Quantum Particle under the Adiabatic Evolution Generated by a One-Dimensional Schrödinger Operator3
Linear Weingarten Spacelike Submanifolds in Semi-Riemannian Space Form3
Complete Shrinking General Ricci Flow Soliton Systems3
Stechkin’s Problem on Approximation of the Differentiation Operator in the Uniform Norm on the Half-Line3
Alexandroff Homology and Path Homology3
Underlying Manifolds of High-Dimensional Morse–Smale Diffeomorphisms with Saddles of Codimension 13
First Asymptotics of Solutions of Degenerate Second-Order Differential Equations3
Approximate Search for the $$k$$th Order Distance in a System of Unit Square Points3
Generalized Vilenkin Groups3
On Various Notions of Representability of $$l_r$$-Spaces in Orlicz Function Spaces3
Rate of Convergence of Chernoff Approximations of Operator $$C_0$$-Semigroups3
Proof of the Brunn–Minkowski Theorem by Brunn Cuts3
Large Gaps between Sums of Two Squareful Numbers3
Trigonometric Polynomials with Frequencies in the Set of Cubes3
Sharp $$L^p$$-Estimates for the Fourier Transform of Surface Measures3
The Space $$H_p$$ of Solutions of Degenerate Parabolic Equations3
On Global Solutions of Second-Order Quasilinear Elliptic Inequalities3
On the Marcinkiewicz–Calderón Interpolation Theorem for Integral Operators3
Invariants of Permutational Unitary Equivalence Classes of the Parseval Frames3
An Efficient Algorithm for Decomposing a Vector into Two Vectors with a Small Uniform Norm3
On Periodicity of the Somos Sequences Modulo $$m$$3
Regularity of Continuous Multilinear Operators and Homogeneous Polynomials3
A Note on Systems of Equations of Power Sums3
Construction of Partial Solutions Using Special Functions for Equations with Fractional Derivative3
Local Dynamics of a Singularly Perturbed Second Order Equation with State-Dependent Delay3
Zeros of Generalized Hermite Polynomials and Ensemble of Gaussian Random Matrices3
Pointwise Semicommutative Rings2
Lyapunov Inequality for Second-Order Equation with Operator of Distributed Differentiation2
A Remarkable Quadratic Form of Voronoi2
On Estimating an Inhomogeneous Kloosterman Sum by the Karatsuba Method2
Chaotic Laminations and Their Properties2
Banach–Mazur Distance from $$\ell_p^3$$ to $$\ell_\infty^3$$2
On the Representation of Integers as Sums of a Class of Triangular Numbers2
Bernstein Inequality for the Riesz Derivative of Order $$0<\alpha<1$$ of Entire Functions of Exponential Type in the Uniform Norm2
On Operator Estimates for Elliptic Operators with Mixed Boundary Conditions in Two-Dimensional Domains with Fast Oscillating Boundary2
Solution Blow-Up for a Fractional Fourth-Order Equation of Moore–Gibson–Thompson Type with Nonlinearity Nonlocal in Time2
Jacobi’s Triple-Product Identity and an Associated Family of Theta-Function Identities2
On the Lagrangian Geometry of the Tangent Bundle of a Toric Variety2
Sharp Bernstein Inequalities for Jacobi–Dunkl Operators2
A Refinement of the Two-Radius Theorem on the Bessel–Kingman Hypergroup2
Values of the Riemann Zeta Function and the Dirichlet Beta Function at Positive Integer Points and Multiple Numerical Series2
On the Energy of Roots2
Extremal Interpolation in the Mean in the Space $$L_1(\mathbb R)$$ with Overlapping Averaging Intervals2
Close Turning Points and the Harper Operator2
Boundedness of Solutions of the Ginzburg–Landau System Involving a Subelliptic Operator2
Feedback Strategies in a Game-Theoretical Control Problem for a Nonlocal Continuity Equation2
Spectral Properties of the Friedrichs Model with Involution2
Explicit Evaluation Formula for Ramanujan’s Singular Moduli and Ramanujan–Selberg Continued Fractions2
Definition and Properties of Measures of Stability and Instability of Zero Solution of a Differential System2
Sets of Uniqueness for Subsystems of the Trigonometric System2
Existence of Solutions to the Nonlinear Kantorovich Transportation Problem2
Asymptotics of the Riemann–Hilbert Problem for the Somov Model of Magnetic Reconnection of Long Shock Waves2
Ranks and Approximations for Families of Ordered Theories2
Estimation of the Norm of the Hermite–Fejér Interpolation Operator with Variable Order Derivatives in Sobolev Spaces2
On a Conjecture of Bourgain2
Investigation of Data Dependence and Convergence Behavior of $$\mathcal{M}$$-Iteration on Banach Spaces with an Application2
Unique Response Roman Domination Versus 2-Packing Differential in Complementary Prisms2
Hereditary Saturated Subsets and the Invariant Basis Number Property of the Leavitt Path Algebra of Cartesian Products2
Meixner Multiple Orthogonal Polynomials on Interlacing Lattices2
Uniqueness of the Solution of a Class of Integral Equations with Sum-Difference Kernel and with Convex Nonlinearity on the Positive Half-Line2
Mixing Sets for Rigid Transformations2
Weighted Integrability of Multiple Multiplicative Fourier Transforms2
Density of Zeros of the Cartwright Class Functions and the Helson–Szegő Type Condition2
Uniform Convergence of Sine Series with Fractional-Monotone Coefficients2
John–Nirenberg Inequality for Riemann Type Series2
Automorphisms of Surfaces of Markov Type2
Improving Cardinality Estimation of Sums of Sets with Convexity2
Reidemeister Classes, Wreath Products, and Solvability2
On Spaces Associated with Weighted Cesàro and Copson Spaces2
Deficiency Indices of Block Jacobi Matrices That Do Not Satisfy the Carleman Condition, and Operators with Point Interactions2
Reconstruction of Functions in Sobolev- and Korobov-Type $$p$$-Ary Classes with Small Smoothness Parameters2
On Sums of Bernoulli Random Variables Modulo 32
On Old and New Formulas for the Catalan and Apéry Constants2
Uniformly Convex Sets in Banach Spaces2
On the Existence of a Nonextendable Solution of the Cauchy problem for a $$(1+1)$$-Dimensional Thermal-Electrical Model2
A Note on Some New Sharp Results on the Zeros of New Area Nevanlinna Type Spaces in the Unit Disk2
On the Unique Solvability of Nonlocal Problems for Abstract Singular Equations2
A Series of Spectral Gaps for the Almost Mathieu Operator with a Small Coupling Constant2
On Finite Groups with $$\mathbb{P}_{\pi}$$-Subnormal Subgroups2
Functional Ghobber–Jaming Uncertainty Principle2
Hochschild Cohomology of Some Finite Category Algebras as Simplicial Cohomology2
To the Problem of a Point Source in an Inhomogeneous Medium2
Asymptotics of Fundamental Solutions of Parabolic Problems2
On Questions Posed by Shemetkov, Ballester-Bolinches, and Perez-Ramos in Finite Group Theory2
Isothermic Surfaces Associated with the Cylinder Obtained by Ribaucour Transformations2
Many-Dimensional Morse–Smale Diffeomeophisms with a Dominant Saddle2
Massive Helson Sets2
Covering a Set by a Convex Compactum: Error Estimates and Computation2
Fields of Algebraic Numbers Whose Multiplicative Groups are Free Modulo the Group of Units2
Aggrandization of Spaces of Holomorphic Functions Reduces to Aggrandization on the Boundary2
Gibbs Measures for the $$\mathrm{HC}$$-Model in the Case of a Graph of Type “Key” on a Cayley Tree2
Approximation of Periodic Functions of High Generalized Smoothness by Fourier Sums2
On Solving the Pell Equation with Right-Hand Side $$\pm2$$ Using Continued Fractions2
On the Smirnov-Type Inequality for Polynomials2
The Existence of Zeros of Multivalued Functionals, Coincidence Points, and Fixed Points in $$f$$-Quasimetric Spaces2
Letter to the Editor2
Inheritance of Generic Singularities of Solutions of a Linear Wave Equation by Solutions of Isoentropic Gas Motion Equations2
Sturm Separation Theorems for a Fourth-Order Equation on a Graph1
On Unstable Solutions with a Nonmonotone Boundary Layer in a Two-Dimensional Reaction-Diffusion Problem1
Independence of the Comprehension Schema in Second-Order Arithmetic from the Parameter-Free Countable Choice1
On the Topological Index of Elliptic Operators on Two-Dimensional Manifolds with Cylindrical Ends1
Analytic Complexity: Functions with One-Dimensional Stabilizer in the Gauge Group1
Periodic Ground States for the Potts Model with External Field and a Countable Set of Spin Values on the Cayley Tree1
On Commuting Automorphisms of a Finite Nonabelian Group with Metacyclic Central Quotient1
On Algebraic Properties of Functions Related to Hypergeometric Functions1
Topological and Homological Properties of the Orbit Space of a Simple Three-Dimensional Compact Linear Lie Group1
Solution of the Mixed Problem for a Third-Order Partial Differential Equation1
Instability of Equilibria in a Solenoidal Force Field1
Some Classes of Tetradiagonal Determinants via Certain Polynomial Families1
Multiplicatively Idempotent Semirings in which All Congruences Are Ideal1
Quasi-Classical Approximation of Monopole Harmonics1
Smoothness of Generalized Eigenfunctions of Differential–Difference Operators on a Finite Interval1
Existence, Asymptotics, and Lyapunov Stability of Solutions of Periodic Parabolic Problems for Tikhonov-Type Reaction–Diffusion Systems1
On Lie Algebras Defined by Tangent Directions to Homogeneous Projective Varieties1
On the Conditions for the Solvability of Boundary-Value Problems for Higher-Order Equations with Discontinuous Coefficients1
Sufficient Conditions for a Minimum of a Strongly Quasiconvex Function on a Weakly Convex Set1
On the Existence of a Positive Solution of a Boundary Value Problem for a Nonlinear Second-Order Functional-Differential Equation with Integral Boundary Conditions1
Ricci Solitons on Generalized Sasakian-Space-Forms with Kenmotsu Metric1
Emergence of a Hierarchy of Singularities in Zero-Pressure Media. Two-Dimensional Case1
On the Minimal Number of Edges in Induced Subgraphs of Special Distance Graphs1
Hurwitz Numbers for the Reflection Groups $$B_n$$ and $$D_n$$1
Nonsingular Morse–Smale Flows with Three Periodic Orbits on Orientable $$3$$-Manifolds1
On the Order of Magnitude of the Double Fourier Transform1
Applying Lauricella’s Function to Construct Conformal Mapping of Polygons’ Exteriors1
On the Uniform Stability of Recovering Sine-Type Functions with Asymptotically Separated Zeros1
Multidimensional Analogs of Theorems about the Density of Sums of Shifts of a Single Function1
The Moutard Transformation for the Davey–Stewartson II Equation and Its Geometrical Meaning1
Topologically Mixing Diffeomorphisms on the Infinite-Dimensional Torus1
On a Ramanujan Identity and Its Generalizations1
On Generalizations of Statistical Convergence and Lacunary Statistical Convergence in Neutrosophic Normed Spaces1
On Some Quotients of Hyperbolic Groups1
Class Preserving Automorphisms of Some Nilpotent Groups of Class 21
On the Question of the Definability of Certain Classes of Completely Decomposable Abelian Torsion-Free Groups by Their Homomorphism Groups1
Periodic Contrast Structures in the Reaction-Diffusion Problem with Fast Response and Weak Diffusion1
Finite Groups with Three Nonconjugate Maximal Formational Subgroups1
Riesz Transform for the One-Dimensional $$(k,1)$$-Generalized Fourier Transform1
Residue Designs Modulo a Given Number on the Circle1
On the Approximability and Parametrization of Preimages of Elements of Carnot Groups on Sub-Lorentzian Structures1
On the Norms and Eigenvalues of $$r$$-Circulant Matrices with $$k$$-Mersenne and $$k$$-Mersenne–Lucas Numbers1
On the Absolute Convergence of Fourier Series of Functions of Two Variables in the Space $$C^{1,\omega}$$1
Upper Bounds for the Expected Maxima of Independent Random Variables Given Known First Four Moments1
On Operator Estimates of the Homogenization of Higher-Order Elliptic Systems1
On a Property of Quasi-Kähler Manifolds1
Blaschke Products and Smale’s Conjecture on Complex Polynomials1
On the Estimate of Integral Norm of Solution of the Dirichlet Problem for Quasilinear Elliptic Equation1
On the Problems Associated with Sum of Dilates1
Exponent of Convergence of a Sequence of Ergodic Averages1
Inequalities for Rational Functions with Prescribed Poles1
On Shallit’s Minimization Problem1
On the Sum of Negative Eigenvalues of the Three-Dimensional Schrödinger Operator1
Problem of Cutting a Polygon into Two Congruent Parts1
On Normal Automorphisms of Groups1
On $$\mathfrak{L}_{\infty}$$-Liftings of the Gelfand–Naimark Morphism1
Localization of Solutions of Ordinary Differential Equations near an Unstable Singular Point1
Perturbed Toeplitz Matrices and Their LU-Decompositions1
Cubical and Simplicial Sets in the Category of Quivers1
Dynamics of Moments and Stationary States for GKSL Equations of Classical Diffusion Type1
Analog of Schoenberg’s Theorem for $$a$$-Conditionally Negative Definite Matrix-Valued Kernels1
Chebyshev’s Problem of the Moments of Nonnegative Polynomials1
Extremal Positivity Problem for Integrals of Sine Series with Monotone Coefficients1
Existence of Bargaining Sets for Cooperative Games with Fuzzy Payoffs1
On the Additive Complexity of Some Integer Sequences1
Solution of the Quantum Three-Body Problem in a Neighborhood of the Three-Particle Forward Scattering Direction1
On Additive Semigroups of Idempotent Semirings with Identity1
On Joint Universality of the Riemann and Hurwitz Zeta-Functions1
On a Problem with Conjugation Conditions for an Equation of Even Order Involving a Caputo Fractional Derivative1
Symmetrization and Integral Inequalities1
Limit Theorems for Random Walks in the Hyperbolic Space1
Historic Behavior in Discrete-time Replicator Dynamics1
Continuity of a Metric Function and Projection in Asymmetric Spaces1
Approximation by Refinement Masks1
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