Geodesic

Sommaire du Fascicule no. 1

The Structure Theorem for Weak Module Coalgebras
p. 3-17
On a Greedy Algorithm in~$L^1(0,1)$ with Regard to Subsystems of the Haar System and on $\omega$-Quasigreedy Bases
p. 18-29
Determination of Periods of Geometric Continued Fractions for Two-Dimensional Algebraic Hyperbolic Operators
p. 30-42
Lie Algebras and Algebras of Associative Type
p. 43-52
Concerning an Equation in the Theory of Combustion
p. 53-62
On New Resonances and Normal Forms of Autonomous Systems with One Zero Eigenvalue
p. 63-77
Differentiation with Respect to Random Binary Nets and Uniqueness of Multiple Trigonometric Series
p. 78-96
On the Heesch Number for the Hyperbolic Plane
p. 97-104
On the Existence of a Point Subset with Three or Five Interior Points
p. 105-115
Mixed Series of Jacobi and Chebyshev Polynomials and Their Discretization
p. 116-147
Jackson's Theorem in the Space~$L_2(\mathbb{R}^d)$ with Power Weight
p. 148-151
Attainability of the Minimal Exponent of Exponential Growth for Some Fuchsian Groups
p. 152-156

Sommaire du Fascicule no. 2

Solvability of a Boundary-Value Problem with an Integral Boundary Condition of the Second Kind for Equations of Odd Order
p. 163-172
Applications of Inequalities of Lieb--Thirring Type to Spectral Theory
p. 173-177
On Diverse Forms of Homogeneity of Lie Algebras
p. 178-192
Weighted Monotonicity Inequalities for Traces on Operator Algebras
p. 193-200
On the Zeros of Functions from Bergman Spaces and Some Related Spaces
p. 201-216
Rate of Pointwise Approximation of Functions by the Ces\`aro $(C,\beta)$-Means of Their Fourier Series
p. 217-228
Quantization Conditions on Riemannian Surfaces and the Semiclassical Spectrum of the Schr\"odinger Operator with Complex Potential
p. 229-248
Criteria for Unitary Congruence of Complex $2\times 2$ Matrices
p. 249-260
Axiomatization of Modal Logic Squares with Distinguished Diagonal
p. 261-274
Finitely Smooth Local Equivalence of Autonomous Systems with One Zero Root
p. 275-287
Pointwise Estimation of the Difference of the Solutions of a Controlled Functional Operator Equation in Lebesgue Spaces
p. 288-302
Singular points of a self-similar function of spectral order zero: self-similar Stieltjes string
p. 303-316
On the Completeness of Systems of Root Functions of Differential Operators of Fractional Order with Matrix Coefficients
p. 317-320

Sommaire du Fascicule no. 3

On the Vinogradov Additive Problem
p. 325-339
Exact Values of the Sums of Multiplicative Characters of Polynomials over Finite Fields
p. 340-349
Remark on Factorials that are Products of Factorials
p. 350-354
A Note on Burgess's Estimate
p. 355-364
Estimation of Kloosterman Sums with Primes and Its Application
p. 365-373
Higher Moments of the Error Term in the Divisor Problem
p. 374-383
New Estimates of Short Kloosterman Sums
p. 384-398
Linear Twists of $L$-Functions of Degree~2 from the Selberg Class
p. 399-404
On a Version of the Hua Problem
p. 405-414
Short Kloosterman Sums with Weights
p. 415-427
On the Joint Universality of Lerch Zeta Functions
p. 428-437
Enlarged Major Arcs in Additive Problems
p. 438-445
Jacob's Ladders and the Almost Exact Asymptotic Representation of the Hardy--Littlewood Integral
p. 446-455
On the Zeros on the Critical Line of $L$-Functions Corresponding to Automorphic Cusp Forms
p. 456-475
Reducing Character Sums to Kloosterman Sums
p. 476-480

Sommaire du Fascicule no. 4

Benford's Law and Distribution Functions of Sequences in $(0,1)$
p. 485-501
Proof of the Faug\`ere Criterion for the F5 Algorithm
p. 502-510
On Algebraic Identities between Generalized Hypergeometric Functions
p. 511-516
On a Problem of Karatsuba
p. 517-528
Estimates of Character Sums in Finite Fields
p. 529-542
Alternatives to the Euler--Maclaurin Formula for Calculating Infinite Sums
p. 543-548
On the Irrationality Exponent of the Number $\ln2$
p. 549-564
Two Modularity Lifting Conjectures for Families of Siegel Modular Forms
p. 565-574
Existence of the K\"ahler--Einstein Metric on Certain Fano Complete Intersections
p. 575-582
On the Measure of Irrationality of the Number~$\pi$
p. 583-593
The Mean Number of Steps in the Euclidean Algorithm with Odd Incomplete Quotients
p. 594-604
Character Sums over Shifted Primes
p. 605-619
A Supercongruence Motivated by the Legendre Family of Elliptic Curves
p. 620-624
On Monochromatic Solutions of Some Nonlinear Equations in~$\mathbb Z/p\mathbb Z$
p. 625-634
The Mellin Transform of Hardy's Function is Entire
p. 635-639
Corrections

Sommaire du Fascicule no. 5

On the Complexity of Some Problems Related to Graph Extensions
p. 643-650
Robust Stability of a Class of Positive Quasi-Polynomials in Banach Spaces
p. 651-661
Asymptotics of the Eigenvalues of the Sturm--Liouville Problem with Discrete Self-Similar Weight
p. 662-672
On the Finite-Increment Theorem for Complex Polynomials
p. 673-682
Open Mapping Theorem for Spaces of Weakly Additive Homogeneous Functionals
p. 683-688
Stationary Subalgebras in General Position for Locally Strongly Effective Actions
p. 689-707
Global H\"older Estimates for Optimal Transportation
p. 708-728
Pairs of Theonian Triangles with Common Area
p. 729-734
Endpoint Estimates for Multilinear Fractional Singular Integral Operators on Some Hardy Spaces
p. 735-752
A Generalization of Jentzsch's Theorem
p. 753-758
On Convergence and Growth of Multiple Dirichlet Series
p. 759-769
On the Singular Solutions of the Korteweg--de Vries Equation
p. 770-777
Commuting and Centralizing Generalized Derivations on Lie Ideals in Prime Rings
p. 778-791
Asymptotics of the Moments of the Number of Cycles of a Random $A$-Permutation
p. 792-800

Sommaire du Fascicule no. 6

Once More on Periodic Products of Groups and on a Problem of A.~I.~Maltsev
p. 803-810
On Log-Convexity for Differences of Mixed Symmetric Means
p. 811-821
Approximation of Values of the Gauss Hypergeometric Function by Rational Fractions
p. 822-835
Shape-Preserving Interpolation by Cubic Splines
p. 836-844
On Movable Singularities of Garnier Systems
p. 845-858
An Estimate for the Sum of Legendre Symbols
p. 859-866
Affine Homogeneity of Indefinite Real Hypersurfaces in the Space~$\mathbb{C}^3$
p. 867-884
Solution of the Control Problem for a Linear Descriptor System with Rectangular Coefficient Matrix
p. 885-896
On the Quantitative Sharpening of a Theorem of Birch
p. 897-901
Minimal Involution-Free Nongroup Reduced Twisted Subsets
p. 902-910
Inheritance of Properties of Spectra
p. 911-923
On the Fiber Structure of Symmetry Invariance Sets of Solutions to Quasilinear Equations
p. 924-934
Application of Spectral Theory to Constructing a Puzzle on the Basis of the Minesweeper Computer Game
p. 935-937
Unimodular Systems of Vectors are Embeddable in the $(0,1)$-Cube
p. 938-941
A Class of Exact Algebraic Localized Solutions of the Multidimensional Wave Equation
p. 942-945
Some Measures on the Set of Piecewise Smooth Circle Homeomorphisms and Related Representations of the Circle Diffeomorphism Group
p. 946-949
On a Multiple Trigonometric Series
p. 950-952
Letter to the Editor
p. 953-954