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Illarionov, Andrei Anatol'evich
Statistics Math-Net.Ru
Total publications: 49
Scientific articles: 49
Presentations: 8

Number of views:
This page:4082
Abstract pages:17341
Full texts:5351
References:2387
Doctor of physico-mathematical sciences (2014)
Speciality: 01.01.06 (Mathematical logic, algebra, and number theory)
Birth date: 8.07.1976
E-mail:
Website: https://www.iam.khv.ru/staff/Illarionov.htm

https://www.mathnet.ru/eng/person17455
List of publications on Google Scholar
https://zbmath.org/authors/ai:illarionov.a-a
https://mathscinet.ams.org/mathscinet/MRAuthorID/669000
https://elibrary.ru/author_items.asp?spin=5318-0854
https://orcid.org/0000-0002-6425-8057
https://www.webofscience.com/wos/author/record/D-6017-2016
https://www.scopus.com/authid/detail.url?authorId=7004396680

Publications in Math-Net.Ru Citations
2024
1. A. A. Illarionov, “Probability estimates related to Korobov's number-theoretical quadrature formulas  ”, Algebra i Analiz, 36:6 (2024),  47–81  mathnet
2023
2. A. A. Illarionov, “Calculation of hyperelliptic systems of sequences of rank 4”, Izv. RAN. Ser. Mat., 87:6 (2023),  76–102  mathnet  mathscinet; Izv. Math., 87:6 (2023), 1185–1209  isi  scopus
3. A. A. Illarionov, “Refinement of Bakhvalov's Estimate for the Error of Korobov's Quadrature Formulas”, Mat. Zametki, 113:6 (2023),  935–939  mathnet; Math. Notes, 113:6 (2023), 864–868  scopus
4. A. A. Illarionov, “Existence of sequences satisfying bilinear type recurrence relations”, Probl. Peredachi Inf., 59:2 (2023),  102–119  mathnet
2022
5. A. A. Illarionov, “Distribution of Korobov-Hlawka sequences”, Mat. Sb., 213:9 (2022),  70–96  mathnet  mathscinet; Sb. Math., 213:9 (2022), 1222–1249  isi  scopus 2
2021
6. A. A. Illarionov, “A probability estimate for the discrepancy of Korobov lattice points”, Mat. Sb., 212:11 (2021),  73–88  mathnet; Sb. Math., 212:11 (2021), 1571–1587  isi  scopus 2
2020
7. A. A. Illarionov, “On a Multilinear Functional Equation”, Mat. Zametki, 107:1 (2020),  59–73  mathnet  mathscinet  elib; Math. Notes, 107:1 (2020), 80–92  isi  scopus 1
8. A. A. Illarionov, “The statistical properties of 3D Klein polyhedra”, Mat. Sb., 211:5 (2020),  78–97  mathnet  mathscinet  elib; Sb. Math., 211:5 (2020), 689–708  isi  scopus
2019
9. A. A. Illarionov, N. V. Markova, “Solution of functional equations related to elliptic functions. III”, Dal'nevost. Mat. Zh., 19:2 (2019),  197–205  mathnet
10. A. A. Illarionov, “Asymmetric cryptography and hyperelliptic sequences”, Dal'nevost. Mat. Zh., 19:2 (2019),  185–196  mathnet 1
11. A. A. Illarionov, “Solution of functional equations related to elliptic functions. II”, Sib. Èlektron. Mat. Izv., 16 (2019),  481–492  mathnet 4
12. A. A. Illarionov, “Hyperelliptic systems of sequences of rank 4”, Mat. Sb., 210:9 (2019),  59–88  mathnet  mathscinet  elib; Sb. Math., 210:9 (2019), 1259–1287  isi  scopus 8
2018
13. A. A. Illarionov, S. A. Chepurko, “On Wiener's attack on RSA cryptosystem”, Dal'nevost. Mat. Zh., 18:2 (2018),  189–194  mathnet
14. A. A. Illarionov, “On the Somos-4 sequence”, Dal'nevost. Mat. Zh., 18:2 (2018),  183–188  mathnet 3
15. A. A. Illarionov, L. V. Illarionova, “The solvability of stationary boundary value problem for Euler equations”, Dal'nevost. Mat. Zh., 18:1 (2018),  48–55  mathnet
16. A. A. Illarionov, M. A. Romanov, “Hyperquasipolynomials for the Theta-Function”, Funktsional. Anal. i Prilozhen., 52:3 (2018),  84–87  mathnet  mathscinet  elib; Funct. Anal. Appl., 52:3 (2018), 228–231  isi  scopus 6
17. A. A. Illarionov, “Distribution of facets of higher-dimensional Klein polyhedra”, Mat. Sb., 209:1 (2018),  58–73  mathnet  mathscinet  elib; Sb. Math., 209:1 (2018), 56–70  isi  scopus 1
18. A. A. Illarionov, “On products of Weierstrass sigma functions”, Zap. Nauchn. Sem. POMI, 467 (2018),  73–84  mathnet; J. Math. Sci. (N. Y.), 243:6 (2019), 872–879  scopus 3
2017
19. A. A. Illarionov, M. A. Romanov, “On the connection between hyperelliptic systems of sequences and functions”, Dal'nevost. Mat. Zh., 17:2 (2017),  210–220  mathnet  elib 3
20. A. A. Illarionov, “Solution of functional equations related to elliptic functions”, Trudy Mat. Inst. Steklova, 299 (2017),  105–117  mathnet  elib; Proc. Steklov Inst. Math., 299 (2017), 96–108  isi  scopus 9
2016
21. A. A. Illarionov, “Solutions of a functional equation concerning with trilinear differential operators”, Dal'nevost. Mat. Zh., 16:2 (2016),  169–180  mathnet  elib 4
22. A. A. Illarionov, “Functional Equations and Weierstrass Sigma-Functions”, Funktsional. Anal. i Prilozhen., 50:4 (2016),  43–54  mathnet  mathscinet  elib; Funct. Anal. Appl., 50:4 (2016), 281–290  isi  scopus 19
2015
23. A. A. Illarionov, “The distribution of integer lengths of Klein polyhedra edges”, Dal'nevost. Mat. Zh., 15:2 (2015),  214–221  mathnet  elib 1
24. A. A. Illarionov, L. V. Illarionova, “The stationary solutions to the two-dimensional Navier–Stokes equation for large fluxes”, Dal'nevost. Mat. Zh., 15:1 (2015),  61–69  mathnet  elib
25. A. A. Illarionov, “Some properties of three-dimensional Klein polyhedra”, Mat. Sb., 206:4 (2015),  35–66  mathnet  mathscinet  zmath  elib; Sb. Math., 206:4 (2015), 510–539  isi  elib  scopus 3
2014
26. A. A. Illarionov, L. V. Illarionova, “Analytic solutions of extremal problems for the Laplace's equation”, Dal'nevost. Mat. Zh., 14:2 (2014),  231–241  mathnet
27. A. A. Illarionov, “On the average number of best approximations of linear forms”, Izv. RAN. Ser. Mat., 78:2 (2014),  61–86  mathnet  mathscinet  zmath  elib; Izv. Math., 78:2 (2014), 268–292  isi  scopus 1
28. A. A. Illarionov, “A multidimensional generalization of Heilbronn's theorem on the average length of a finite continued fraction”, Mat. Sb., 205:3 (2014),  119–132  mathnet  mathscinet  zmath  elib; Sb. Math., 205:3 (2014), 419–431  isi  scopus 4
2013
29. A. A. Illarionov, “On the statistical properties of Klein polyhedra in three-dimensional lattices”, Mat. Sb., 204:6 (2013),  23–46  mathnet  mathscinet  zmath  elib; Sb. Math., 204:6 (2013), 801–823  isi  elib  scopus 6
2012
30. A. A. Illarionov, “On cylindrical minima of integer lattices”, Algebra i Analiz, 24:2 (2012),  154–170  mathnet  mathscinet  zmath  elib; St. Petersburg Math. J., 24:2 (2013), 301–312  isi  elib  scopus 2
31. A. A. Illarionov, “On Statistical Properties of Local Minima of Integer Lattices”, Dal'nevost. Mat. Zh., 12:2 (2012),  201–230  mathnet 1
32. A. A. Illarionov, “The average number of relative minima of three-dimensional integer lattices of a given determinant”, Izv. RAN. Ser. Mat., 76:3 (2012),  111–138  mathnet  mathscinet  zmath  elib; Izv. Math., 76:3 (2012), 535–562  isi  elib  scopus 6
2011
33. A. A. Illarionov, “The average number of local minima of three-dimensional integer lattices”, Algebra i Analiz, 23:3 (2011),  189–215  mathnet  mathscinet  zmath  elib; St. Petersburg Math. J., 23:3 (2012), 551–570  isi  elib  scopus 8
34. A. A. Illarionov, Y. A. Soyka, “On the number of local minima of integer lattices”, Dal'nevost. Mat. Zh., 11:2 (2011),  149–154  mathnet 1
35. A. A. Illarionov, D. Slinkin, “The average number of vertexes of Klein polyhedrons for integer lattices”, Dal'nevost. Mat. Zh., 11:1 (2011),  48–55  mathnet 6
36. A. A. Illarionov, “On cylindrical minima of three-dimensional lattices”, Dal'nevost. Mat. Zh., 11:1 (2011),  37–47  mathnet 2
37. A. A. Illarionov, “Estimates of the Number of Relative Minima of Lattices”, Mat. Zametki, 89:2 (2011),  249–259  mathnet  mathscinet; Math. Notes, 89:2 (2011), 245–254  isi  scopus 2
2009
38. A. A. Illarionov, “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  mathnet  mathscinet; Siberian Math. J., 50:4 (2009), 658–662  isi  scopus 1
2008
39. A. A. Illarionov, “The solvability of extremal problems for Poisson equation and Stokes system”, Dal'nevost. Mat. Zh., 8:2 (2008),  164–170  mathnet 1
40. A. Yu. Chebotarev, A. A. Illarionov, E. V. Amosova, “Variational inequalities, boundary – value problems and optimal control for the Navier – Stokes equations”, Dal'nevost. Mat. Zh., 8:1 (2008),  121–140  mathnet  elib 1
41. A. A. Illarionov, “Nonlocal overdetermined boundary value problem for stationary Navier–Stokes equations”, Zh. Vychisl. Mat. Mat. Fiz., 48:6 (2008),  1056–1061  mathnet  zmath; Comput. Math. Math. Phys., 48:6 (2008), 996–1000  isi  scopus 1
2007
42. A. A. Illarionov, “A nonlocal boundary value problem with overdetermination for an elliptic equation”, Sib. Zh. Ind. Mat., 10:2 (2007),  64–69  mathnet  mathscinet 2
2004
43. A. A. Illarionov, A. Yu. Chebotarev, “The solvability of stationary boundary problem for model of the granular medium”, Dal'nevost. Mat. Zh., 5:2 (2004),  178–183  mathnet
2001
44. A. A. Illarionov, A. Yu. Chebotarev, “Solvability of a Mixed Boundary Value Problem for the Stationary Navier–Stokes Equations”, Differ. Uravn., 37:5 (2001),  689–695  mathnet  mathscinet; Differ. Equ., 37:5 (2001), 724–731 13
45. A. A. Illarionov, “On the solvability of boundary problems for stationary Navier-Stokes equations”, Dal'nevost. Mat. Zh., 2:1 (2001),  16–36  mathnet 5
46. A. A. Illarionov, “Optimal Boundary Control of Steady-State Flow of a Viscous Inhomogeneous Incompressible Fluid”, Mat. Zametki, 69:5 (2001),  666–678  mathnet  mathscinet  zmath  elib; Math. Notes, 69:5 (2001), 614–624  isi 9
47. A. A. Illarionov, “Asymptotics of solutions to the optimal control problem for time-indepentent Navier–Stokes equations”, Zh. Vychisl. Mat. Mat. Fiz., 41:7 (2001),  1045–1056  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 41:7 (2001), 993–1004 3
2000
48. A. A. Illarionov, “Solvability of a stationary boundary value problem in a diffusion model of a nonhomogeneous fluid”, Sib. Zh. Ind. Mat., 3:1 (2000),  116–123  mathnet  mathscinet  zmath
49. A. A. Illarionov, “Asymptotics of solutions to the optimal control problem for time-independent Navier–Stokes equations”, Zh. Vychisl. Mat. Mat. Fiz., 40:7 (2000),  1061–1070  mathnet  mathscinet  zmath  elib; Comput. Math. Math. Phys., 40:7 (2000), 1017–1026 5

Presentations in Math-Net.Ru
1. Гиперэллиптические последовательности и асимметричные криптосистемы
A. A. Illarionov

November 10, 2022 18:20   
2. Распределение последовательностей Коробова–Главки
A. A. Illarionov
XXI International Conference «Algebra, Number Theory, Discrete Geometry and Multiscale Modeling: Modern Problems, Applications and Problems of History», Dedicated to the 85th Anniversaryof the Birth of A. A. Karatsuba
May 19, 2022 10:55
3. Отклонение последовательностей Коробова-Главки
A. A. Illarionov
Contemporary Problems in Number Theory
March 24, 2022 12:45   
4. The discrepancy of the Korobov-Hlawka sequences
A. A. Illarionov
Memorial Conference on Analytic Number Theory and Applications Dedicated to the 130th Anniversary of I. M. Vinogradov
September 14, 2021 12:00   
5. Hyperelliptic systems of sequences
A. A. Illarionov
XV International Conference «Algebra, Number Theory and Discrete Geometry: modern problems and applications», dedicated to the centenary of the birth of the Doctor of Physical and Mathematical Sciences, Professor of the Moscow State University Korobov Nikolai Mikhailovich
May 31, 2018 15:00
6. Статистические свойства полиэдров Клейна
A. A. Illarionov
Contemporary Problems in Number Theory
April 24, 2014 12:45
7. О статистических свойствах многомерных аналогов непрерывных дробей
A. A. Illarionov
Contemporary Problems in Number Theory
April 21, 2011 12:45
8. О статистических свойствах многомерных аналогов непрерывных дробей
A. A. Illarionov
Moscow Seminar on the Number Theory
April 15, 2011 18:30

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