Mathematical Notes

Papers
(The TQCC of Mathematical Notes is 1. 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 2021-10-01 to 2025-10-01.)
ArticleCitations
Pivotal Weak Turaev $$\pi$$-Coalgebras28
Weighted Estimates of the Fractional Type Marcinkiewicz Integral and Its Commutator on Morrey–Guliyev Spaces20
A Note on $$L^1$$-Convergence of Fourier Series with Riesz Mean18
Weak Leibniz Algebras12
Finite Groups in Which Maximal Subgroups of Sylow $$p$$-Subgroups are $$\mathcal{M}$$-Permutable11
Recognizability of the Groups $$PSp_8(7^m)$$ by the Set of Element Orders11
On the Gauss Maps of Minimal Surfaces Sharing Hyperplanes in Subgeneral Position11
On the Solvability of Nonlinear Parabolic Functional-Differential Equations with Shifts in the Spatial Variables9
Uniqueness of the Solution of the Inverse Problem for a Model of the Dynamics of an Age-Structured Population9
Some Algebraic Properties of Hermite–Padé Polynomials8
Strong Polynomial Completeness of Almost All Quasigroups8
Lauricella Function and the Conformal Mapping of Polygons8
On the Krein–Rechtman Theorem in the Presence of Multiple Points8
On the Representation of Sobolev Systems Orthogonal with Respect to the Inner Product with One Discrete Point8
Any Chebyshev Curve without Self-Intersections Is Monotone7
S. R. Nasyrov’s Problem of Approximation by Simple Partial Fractions on an Interval7
On the Reverse Dzyadyk Inequality for Polynomials with Zeros on a Closed Interval7
On the Boundedness of the Fractional Maximal Operator, the Riesz Potential, and Their Commutators in Orlicz Spaces7
Jackson–Stechkin Type Inequalities between the Best Polynomial Approximations and Generalized Moduli of Continuity in the Weighted Bergman Space $$\mathscr{B}_{2,\gamma}$$7
On the Growth Function of $$n$$-Valued Dynamics7
$$\pmb N$$-Laplacian Equation with a Nonlinear Neumann Boundary Condition and a Singular Nonlinearity6
Auslander Condition and Gorenstein Rings6
A New Proof of a Result Concerning a Complete Description of $$ (n, n + 2) $$-Graphs with Maximum Value of the Hosoya Index6
Solution of a Boundary Value Problem for a System of Integro-Differential Equations Arising in a Model of Plasma Physics6
Existence of Common Fixed Points of Generalized Set-Contractions on a $$b$$-Metric Space with a Directed Graph6
Lattices of Extensions of Cyclically Ordered Sets and Compactifications of Generalized Cyclically Ordered Spaces6
Complex Appell–Bessel Functions and Their Degenerate Analogs6
Calculation of the Asymptotics of the Solution of the Inhomogeneous Heat Equation by the Auxiliary Parameter Method6
On the $$p(x)$$-Curl-System Problem with Indefinite Weight and Nonstandard Growth Conditions6
Counterexamples to the Hardy–Littlewood Theorem for Generalized Monotone Sequences5
Extremality of Gibbs Measures for the $$HC$$-Blume–Capel Model on the Cayley Tree5
On the Number of Minimum Dominating Sets in Trees5
Local Extremal Interpolation on the Semiaxis with the Least Value of the Norm for a Linear Differential Operator5
Average Dimension of Shift Spaces and Their Subspaces5
On the Torsion in the Group $$F/[M,N]$$ in the Case of Combinatorial Asphericity of the Groups $$F/M$$ and $$F/N$$5
Quotients of Dense Subsets of Integers and Short Distances between Product Elements5
On Analogues of Heilbronn’s Theorem5
Fractional Kinetic Equations5
On a Refinement of the Schneider–Lang theorem5
On a Polynomial Version of the Sum-Product Problem for Subgroups5
Yudin–Hermite Extremal Problems for Polynomials5
Basic Predicate Calculus is Sound with Respect to a Modified Version of Strictly Primitive Recursive Realizability5
Characterizations of $$\sigma$$-Solvable Finite Groups5
On Weyl Multipliers for Unconditional Convergence of Series in Ciesielski Systems5
Approximation Numbers of the Two-Dimensional Rectangular Hardy Operator4
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
Approximation of Mathieu Functions by Parabolic Cylinder Functions4
Asymptotic Solutions of Flow Problems with Boundary Layer of Double-Deck Structures4
On a Finite Group Generated by Subnormal Supersoluble Subgroups4
Asymptotics of the Relaxation Cycle in the Modified Logistic Equation with Delay4
The Cost of Symmetry in Connected Graphs4
Lacunary Recurrence Relations with Gaps of Length 8 for the Bernoulli and Euler Polynomials4
Embedding of Free Nilpotent (Metabelian) Groups in Partially Commutative Nilpotent (Metabelian) Groups4
On Power Series Related to Multivariate Records4
Spectral Expansion for Nonself-Adjoint Differential Operators with Periodic Matrix Coefficients4
On the Connection between the Growth of Zeros and the Decrease of Taylor Coefficients of Entire Functions4
A Mixed Problem for a Class of Second-Order Nonlinear Hyperbolic Systems with Dirichlet and Poincaré Boundary Conditions4
Constructive Semiclassical Asymptotics of Bound States of Graphene in a Constant Magnetic Field with Small Mass4
On Sufficient Conditions for the Consistency of Local Linear Kernel Estimators4
A Finite Group with a Maximal Miller–Moreno Subgroup4
Estimate of the Convergence Rate in the Riemann Localization Principle for Trigonometric Fourier Series of Continuous Functions4
Contractibility of Sparse Clouds4
On Algebraic Properties of Integrals of Products of Some Hypergeometric Functions4
Eta-Invariants for Parameter-Dependent Operators Associated with an Action of a Discrete Group4
Almost Geodesic Mappings and Projections of the Sphere4
Local Dynamics of a Singularly Perturbed Second Order Equation with State-Dependent Delay3
Erratum to: Exact Discretization of the $$L_2$$-Norm with Negative Weight3
Basic Predicate Calculus is not Sound with Respect to the Strong Variant of Strictly Primitive Recursive Realizability3
Limit Theorem on Convergence to the Local Time of a Brownian Bridge3
Trigonometric Polynomials with Frequencies in the Set of Cubes3
On the Asymptotics of the Traveling Wave Velocity on a Saddle-Node Trajectory3
The Space $$H_p$$ of Solutions of Degenerate Parabolic Equations3
On Embeddings in the Class of Partially Commutative Nilpotent Groups3
Generalized Vilenkin Groups3
Lichnerowicz Laplacian from the Point of View of the Bochner Technique3
Large Gaps between Sums of Two Squareful Numbers3
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 Tree3
On Periodicity of the Somos Sequences Modulo $$m$$3
On the Delocalization of a Quantum Particle under the Adiabatic Evolution Generated by a One-Dimensional Schrödinger Operator3
On the Properties of Rings of Integro-Differential Operators and Their Corresponding Equations3
Maslov Viktor Pavlovich (1930–2023)3
Complete Shrinking General Ricci Flow Soliton Systems3
Mixed Problem for a Nonlinear Schrödinger Equation of Negative Order in the Class of Periodic Infinite-Gap Functions3
$$\beta_1$$-Triangulations of 3-Manifolds3
Zeros of Generalized Hermite Polynomials and Ensemble of Gaussian Random Matrices3
Underlying Manifolds of High-Dimensional Morse–Smale Diffeomorphisms with Saddles of Codimension 13
On Disjointness-Preserving Biadditive Operators3
Alexandroff Homology and Path Homology3
Rate of Convergence of Chernoff Approximations of Operator $$C_0$$-Semigroups3
Proof of the Brunn–Minkowski Theorem by Brunn Cuts3
On the Marcinkiewicz–Calderón Interpolation Theorem for Integral Operators3
Regularity of Continuous Multilinear Operators and Homogeneous Polynomials3
Sharp $$L^p$$-Estimates for the Fourier Transform of Surface Measures3
Linear Weingarten Spacelike Submanifolds in Semi-Riemannian Space Form3
Stechkin’s Problem on Approximation of the Differentiation Operator in the Uniform Norm on the Half-Line3
On the Convergence of Negative-Order Cesàro Means of Fourier and Fourier–Walsh Series3
On Global Solutions of Second-Order Quasilinear Elliptic Inequalities3
An Efficient Algorithm for Decomposing a Vector into Two Vectors with a Small Uniform Norm3
Invariants of Permutational Unitary Equivalence Classes of the Parseval Frames3
On Various Notions of Representability of $$l_r$$-Spaces in Orlicz Function Spaces3
Approximate Search for the $$k$$th Order Distance in a System of Unit Square Points3
Construction of Partial Solutions Using Special Functions for Equations with Fractional Derivative3
Deficiency Indices of Block Jacobi Matrices That Do Not Satisfy the Carleman Condition, and Operators with Point Interactions2
A Series of Spectral Gaps for the Almost Mathieu Operator with a Small Coupling Constant2
Aggrandization of Spaces of Holomorphic Functions Reduces to Aggrandization on the Boundary2
Hereditary Saturated Subsets and the Invariant Basis Number Property of the Leavitt Path Algebra of Cartesian Products2
Uniqueness of the Solution of a Class of Integral Equations with Sum-Difference Kernel and with Convex Nonlinearity on the Positive Half-Line2
Density of Zeros of the Cartwright Class Functions and the Helson–Szegő Type Condition2
Values of the Riemann Zeta Function and the Dirichlet Beta Function at Positive Integer Points and Multiple Numerical Series2
Many-Dimensional Morse–Smale Diffeomeophisms with a Dominant Saddle2
On the Lagrangian Geometry of the Tangent Bundle of a Toric Variety2
Close Turning Points and the Harper Operator2
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
Reidemeister Classes, Wreath Products, and Solvability2
Solution Blow-Up for a Fractional Fourth-Order Equation of Moore–Gibson–Thompson Type with Nonlinearity Nonlocal in Time2
Boundedness of Solutions of the Ginzburg–Landau System Involving a Subelliptic Operator2
Reconstruction of Functions in Sobolev- and Korobov-Type $$p$$-Ary Classes with Small Smoothness Parameters2
Inheritance of Generic Singularities of Solutions of a Linear Wave Equation by Solutions of Isoentropic Gas Motion Equations2
Sets of Uniqueness for Subsystems of the Trigonometric System2
Kolmogorov Widths of the Class $$W_1^1$$2
On Estimating an Inhomogeneous Kloosterman Sum by the Karatsuba Method2
Uniformly Convex Sets in Banach Spaces2
Spectral Properties of the Friedrichs Model with Involution2
On Operator Estimates for Elliptic Operators with Mixed Boundary Conditions in Two-Dimensional Domains with Fast Oscillating Boundary2
Andrei Andreevich Shkalikov2
First Asymptotics of Solutions of Degenerate Second-Order Differential Equations2
Investigation of Data Dependence and Convergence Behavior of $$\mathcal{M}$$-Iteration on Banach Spaces with an Application2
On the Representation of Integers as Sums of a Class of Triangular Numbers2
Jacobi’s Triple-Product Identity and an Associated Family of Theta-Function Identities2
Hochschild Cohomology of Some Finite Category Algebras as Simplicial Cohomology2
Automorphisms of Surfaces of Markov Type2
Massive Helson Sets2
Chaotic Laminations and Their Properties2
To the Problem of a Point Source in an Inhomogeneous Medium2
A Refinement of the Two-Radius Theorem on the Bessel–Kingman Hypergroup2
Letter to the Editor2
Asymptotics of the Riemann–Hilbert Problem for the Somov Model of Magnetic Reconnection of Long Shock Waves2
Improving Cardinality Estimation of Sums of Sets with Convexity2
Approximation of Periodic Functions of High Generalized Smoothness by Fourier Sums2
Isothermic Surfaces Associated with the Cylinder Obtained by Ribaucour Transformations2
A Remarkable Quadratic Form of Voronoi2
Existence of Solutions to the Nonlinear Kantorovich Transportation Problem2
Asymptotics of Fundamental Solutions of Parabolic Problems2
Definition and Properties of Measures of Stability and Instability of Zero Solution of a Differential System2
On a Conjecture of Bourgain2
A Note on Systems of Equations of Power Sums2
A Note on Some New Sharp Results on the Zeros of New Area Nevanlinna Type Spaces in the Unit Disk2
On the Best Simultaneous Approximation in the Bergman Space $$B_2$$2
Lyapunov Inequality for Second-Order Equation with Operator of Distributed Differentiation2
Functional Ghobber–Jaming Uncertainty Principle2
Controllability of Nonstationary Discrete Descriptor Systems under Conditions of Invertibility of a Transformation to a Structural Form2
Uniform Convergence of Sine Series with Fractional-Monotone Coefficients2
Kolmogorov Widths of an Intersection of Anisotropic Finite-Dimensional Balls in the Case of $$2\le q_j<\infty$$2
On Spaces Associated with Weighted Cesàro and Copson Spaces2
Weighted Integrability of Multiple Multiplicative Fourier Transforms2
On the Energy of Roots2
On Questions Posed by Shemetkov, Ballester-Bolinches, and Perez-Ramos in Finite Group Theory2
Pointwise Semicommutative Rings2
John–Nirenberg Inequality for Riemann Type Series2
Extremal Interpolation in the Mean in the Space $$L_1(\mathbb R)$$ with Overlapping Averaging Intervals2
On the Smirnov-Type Inequality for Polynomials2
Gibbs Measures for the $$\mathrm{HC}$$-Model in the Case of a Graph of Type “Key” on a Cayley Tree2
On Old and New Formulas for the Catalan and Apéry Constants2
On Sums of Bernoulli Random Variables Modulo 32
Estimation of the Norm of the Hermite–Fejér Interpolation Operator with Variable Order Derivatives in Sobolev Spaces2
On the Existence of a Nonextendable Solution of the Cauchy problem for a $$(1+1)$$-Dimensional Thermal-Electrical Model2
Bernstein Inequality for the Riesz Derivative of Order $$0<\alpha<1$$ of Entire Functions of Exponential Type in the Uniform Norm2
Feedback Strategies in a Game-Theoretical Control Problem for a Nonlocal Continuity Equation2
On Finite Groups with $$\mathbb{P}_{\pi}$$-Subnormal Subgroups2
Sharp Bernstein Inequalities for Jacobi–Dunkl Operators2
On the Unique Solvability of Nonlocal Problems for Abstract Singular Equations2
Sub-Riemannian Coarea Formula for Classes of Noncontact Mappings of Carnot Groups2
Problem of Cutting a Polygon into Two Congruent Parts1
On Normal Automorphisms of Groups1
On the Equivalence of Borel Sets1
Historic Behavior in Discrete-time Replicator Dynamics1
System of Inequalities in Continued Fractions from Finite Alphabets1
Extremal Positivity Problem for Integrals of Sine Series with Monotone Coefficients1
On a Problem with Conjugation Conditions for an Equation of Even Order Involving a Caputo Fractional Derivative1
Riesz Transform for the One-Dimensional $$(k,1)$$-Generalized Fourier Transform1
On the Absolute Convergence of Fourier Series of Functions of Two Variables in the Space $$C^{1,\omega}$$1
Periodic Ground States for the Potts Model with External Field and a Countable Set of Spin Values on the Cayley Tree1
On the Question of the Definability of Certain Classes of Completely Decomposable Abelian Torsion-Free Groups by Their Homomorphism Groups1
Sufficient Conditions for a Minimum of a Strongly Quasiconvex Function on a Weakly Convex Set1
Symmetrization and Integral Inequalities1
On the Positive Definiteness of Functions of the Form $$h(\rho(x))+\beta\rho(x)h'(\rho(x))$$1
On Additive Semigroups of Idempotent Semirings with Identity1
Inequalities for Rational Functions with Prescribed Poles1
On the Additive Complexity of Some Integer Sequences1
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
Dynamical and qKZ Equations Modulo $$p^s$$: an Example1
Limit Theorems for Random Walks in the Hyperbolic Space1
Analog of Schoenberg’s Theorem for $$a$$-Conditionally Negative Definite Matrix-Valued Kernels1
On Locally Chebyshev Sets1
On Commuting Automorphisms of a Finite Nonabelian Group with Metacyclic Central Quotient1
Perturbed Toeplitz Matrices and Their LU-Decompositions1
On Algebraic Isomorphisms of the Rational Cohomology of Künnemann’s Compactifications of the Néron Model of an Abelian Variety without Complex Multiplication1
On the Topological Index of Elliptic Operators on Two-Dimensional Manifolds with Cylindrical Ends1
Boundedness of Hadamard–Bergman and Variable Hadamard–Bergman Convolution Operators1
Numerical Simulation of the Variable Order Fractional Integro-Differential Equation via Chebyshev Polynomials1
Chebyshev’s Problem of the Moments of Nonnegative Polynomials1
On the Existence of Equivariant Kähler Models of Certain Compact Complex Spaces1
Solution of the Quantum Three-Body Problem in a Neighborhood of the Three-Particle Forward Scattering Direction1
New Proof of the Ostapenko–Tarasov Theorem1
Topologically Mixing Diffeomorphisms on the Infinite-Dimensional Torus1
On Joint Universality of the Riemann and Hurwitz Zeta-Functions1
On the Minimal Number of Edges in Induced Subgraphs of Special Distance Graphs1
Blaschke Products and Smale’s Conjecture on Complex Polynomials1
Class Preserving Automorphisms of Some Nilpotent Groups of Class 21
On the Existence of a Positive Solution of a Boundary Value Problem for a Nonlinear Second-Order Functional-Differential Equation with Integral Boundary Conditions1
On Algebraic Properties of Functions Related to Hypergeometric Functions1
Approximation by Refinement Masks1
Applying Lauricella’s Function to Construct Conformal Mapping of Polygons’ Exteriors1
Residue Designs Modulo a Given Number on the Circle1
Periodic Contrast Structures in the Reaction-Diffusion Problem with Fast Response and Weak Diffusion1
Dynamics of Moments and Stationary States for GKSL Equations of Classical Diffusion Type1
On $$\mathfrak{L}_{\infty}$$-Liftings of the Gelfand–Naimark Morphism1
Some Remarks on Differences between Totients1
On Generalizations of Statistical Convergence and Lacunary Statistical Convergence in Neutrosophic Normed Spaces1
Multiplicatively Idempotent Semirings in which All Congruences Are Ideal1
On Linearly Convex Hartogs Domains in $$\mathbb C^2$$ with a Fractal Structure1
Ricci Solitons on Generalized Sasakian-Space-Forms with Kenmotsu Metric1
On the Problems Associated with Sum of Dilates1
A Note on Generalized Contraction Theorems1
Topological and Homological Properties of the Orbit Space of a Simple Three-Dimensional Compact Linear Lie Group1
Finite Groups with Three Nonconjugate Maximal Formational Subgroups1
On the Approximability and Parametrization of Preimages of Elements of Carnot Groups on Sub-Lorentzian Structures1
On the Sum of Negative Eigenvalues of the Three-Dimensional Schrödinger Operator1
On the Conditions for the Solvability of Boundary-Value Problems for Higher-Order Equations with Discontinuous Coefficients1
On the Norms and Eigenvalues of $$r$$-Circulant Matrices with $$k$$-Mersenne and $$k$$-Mersenne–Lucas Numbers1
Analytic Complexity: Functions with One-Dimensional Stabilizer in the Gauge Group1
Existence of Bargaining Sets for Cooperative Games with Fuzzy Payoffs1
Cubical and Simplicial Sets in the Category of Quivers1
Emergence of a Hierarchy of Singularities in Zero-Pressure Media. Two-Dimensional Case1
Some Classes of Tetradiagonal Determinants via Certain Polynomial Families1
Hurwitz Numbers for the Reflection Groups $$B_n$$ and $$D_n$$1
On the Uniform Stability of Recovering Sine-Type Functions with Asymptotically Separated Zeros1
On Lie Algebras Defined by Tangent Directions to Homogeneous Projective Varieties1
On Unstable Solutions with a Nonmonotone Boundary Layer in a Two-Dimensional Reaction-Diffusion Problem1
On Operator Estimates of the Homogenization of Higher-Order Elliptic Systems1
Instability of Equilibria in a Solenoidal Force Field1
On a Property of Quasi-Kähler Manifolds1
On Some Quotients of Hyperbolic Groups1
The Stationary Navier–Stokes–Boussinesq System with a Regularized Dissipation Function1
Localization of Solutions of Ordinary Differential Equations near an Unstable Singular Point1
Solution of the Mixed Problem for a Third-Order Partial Differential Equation1
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