Illarionov Andrei Anatol'evich

Publications in Math-Net.Ru

1. Probability estimates related to Korobov's number-theoretical quadrature formulas  
   
   Algebra i Analiz, 36:6 (2024),  47–81
2. Calculation of hyperelliptic systems of sequences of rank 4
   
   Izv. RAN. Ser. Mat., 87:6 (2023),  76–102
3. Refinement of Bakhvalov's Estimate for the Error of Korobov's Quadrature Formulas
   
   Mat. Zametki, 113:6 (2023),  935–939
4. Existence of sequences satisfying bilinear type recurrence relations
   
   Probl. Peredachi Inf., 59:2 (2023),  102–119
5. Distribution of Korobov-Hlawka sequences
   
   Mat. Sb., 213:9 (2022),  70–96
6. A probability estimate for the discrepancy of Korobov lattice points
   
   Mat. Sb., 212:11 (2021),  73–88
7. On a Multilinear Functional Equation
   
   Mat. Zametki, 107:1 (2020),  59–73
8. The statistical properties of 3D Klein polyhedra
   
   Mat. Sb., 211:5 (2020),  78–97
9. Solution of functional equations related to elliptic functions. III
   
   Dal'nevost. Mat. Zh., 19:2 (2019),  197–205
10. Asymmetric cryptography and hyperelliptic sequences
    
    Dal'nevost. Mat. Zh., 19:2 (2019),  185–196
11. Solution of functional equations related to elliptic functions. II
    
    Sib. Èlektron. Mat. Izv., 16 (2019),  481–492
12. Hyperelliptic systems of sequences of rank 4
    
    Mat. Sb., 210:9 (2019),  59–88
13. On Wiener's attack on RSA cryptosystem
    
    Dal'nevost. Mat. Zh., 18:2 (2018),  189–194
14. On the Somos-4 sequence
    
    Dal'nevost. Mat. Zh., 18:2 (2018),  183–188
15. The solvability of stationary boundary value problem for Euler equations
    
    Dal'nevost. Mat. Zh., 18:1 (2018),  48–55
16. Hyperquasipolynomials for the Theta-Function
    
    Funktsional. Anal. i Prilozhen., 52:3 (2018),  84–87
17. Distribution of facets of higher-dimensional Klein polyhedra
    
    Mat. Sb., 209:1 (2018),  58–73
18. On products of Weierstrass sigma functions
    
    Zap. Nauchn. Sem. POMI, 467 (2018),  73–84
19. On the connection between hyperelliptic systems of sequences and functions
    
    Dal'nevost. Mat. Zh., 17:2 (2017),  210–220
20. Solution of functional equations related to elliptic functions
    
    Trudy Mat. Inst. Steklova, 299 (2017),  105–117
21. Solutions of a functional equation concerning with trilinear differential operators
    
    Dal'nevost. Mat. Zh., 16:2 (2016),  169–180
22. Functional Equations and Weierstrass Sigma-Functions
    
    Funktsional. Anal. i Prilozhen., 50:4 (2016),  43–54
23. The distribution of integer lengths of Klein polyhedra edges
    
    Dal'nevost. Mat. Zh., 15:2 (2015),  214–221
24. The stationary solutions to the two-dimensional Navier–Stokes equation for large fluxes
    
    Dal'nevost. Mat. Zh., 15:1 (2015),  61–69
25. Some properties of three-dimensional Klein polyhedra
    
    Mat. Sb., 206:4 (2015),  35–66
26. Analytic solutions of extremal problems for the Laplace's equation
    
    Dal'nevost. Mat. Zh., 14:2 (2014),  231–241
27. On the average number of best approximations of linear forms
    
    Izv. RAN. Ser. Mat., 78:2 (2014),  61–86
28. A multidimensional generalization of Heilbronn's theorem on the average length of a finite continued fraction
    
    Mat. Sb., 205:3 (2014),  119–132
29. On the statistical properties of Klein polyhedra in three-dimensional lattices
    
    Mat. Sb., 204:6 (2013),  23–46
30. On cylindrical minima of integer lattices
    
    Algebra i Analiz, 24:2 (2012),  154–170
31. On Statistical Properties of Local Minima of Integer Lattices
    
    Dal'nevost. Mat. Zh., 12:2 (2012),  201–230
32. The average number of relative minima of three-dimensional integer lattices of a given determinant
    
    Izv. RAN. Ser. Mat., 76:3 (2012),  111–138
33. The average number of local minima of three-dimensional integer lattices
    
    Algebra i Analiz, 23:3 (2011),  189–215
34. On the number of local minima of integer lattices
    
    Dal'nevost. Mat. Zh., 11:2 (2011),  149–154
35. The average number of vertexes of Klein polyhedrons for integer lattices
    
    Dal'nevost. Mat. Zh., 11:1 (2011),  48–55
36. On cylindrical minima of three-dimensional lattices
    
    Dal'nevost. Mat. Zh., 11:1 (2011),  37–47
37. Estimates of the Number of Relative Minima of Lattices
    
    Mat. Zametki, 89:2 (2011),  249–259
38. On a possibility of generalization of the Hopf lemma to the case of the Navier–Stokes system with nonzero flows
    
    Sibirsk. Mat. Zh., 50:4 (2009),  831–835
39. The solvability of extremal problems for Poisson equation and Stokes system
    
    Dal'nevost. Mat. Zh., 8:2 (2008),  164–170
40. Variational inequalities, boundary – value problems and optimal control for the Navier – Stokes equations
    
    Dal'nevost. Mat. Zh., 8:1 (2008),  121–140
41. Nonlocal overdetermined boundary value problem for stationary Navier–Stokes equations
    
    Zh. Vychisl. Mat. Mat. Fiz., 48:6 (2008),  1056–1061
42. A nonlocal boundary value problem with overdetermination for an elliptic equation
    
    Sib. Zh. Ind. Mat., 10:2 (2007),  64–69
43. The solvability of stationary boundary problem for model of the granular medium
    
    Dal'nevost. Mat. Zh., 5:2 (2004),  178–183
44. Solvability of a Mixed Boundary Value Problem for the Stationary Navier–Stokes Equations
    
    Differ. Uravn., 37:5 (2001),  689–695
45. On the solvability of boundary problems for stationary Navier-Stokes equations
    
    Dal'nevost. Mat. Zh., 2:1 (2001),  16–36
46. Optimal Boundary Control of Steady-State Flow of a Viscous Inhomogeneous Incompressible Fluid
    
    Mat. Zametki, 69:5 (2001),  666–678
47. Asymptotics of solutions to the optimal control problem for time-indepentent Navier–Stokes equations
    
    Zh. Vychisl. Mat. Mat. Fiz., 41:7 (2001),  1045–1056
48. Solvability of a stationary boundary value problem in a diffusion model of a nonhomogeneous fluid
    
    Sib. Zh. Ind. Mat., 3:1 (2000),  116–123
49. Asymptotics of solutions to the optimal control problem for time-independent Navier–Stokes equations
    
    Zh. Vychisl. Mat. Mat. Fiz., 40:7 (2000),  1061–1070