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Illarionov, Andrei Anatol'evich

Statistics Math-Net.Ru
Total publications: 43
Scientific articles: 43
Presentations: 4

Number of views:
This page:2871
Abstract pages:9046
Full texts:2277
References:1208
Doctor of physico-mathematical sciences (2014)
Speciality: 01.01.06 (Mathematical logic, algebra, and number theory)
Birth date: 8.07.1976
E-mail:
Website: http://www.iam.khv.ru/staff/Illarionov.htm

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

Publications in Math-Net.Ru
2020
1. A. A. Illarionov, “On a Multilinear Functional Equation”, Mat. Zametki, 107:1 (2020),  59–73  mathnet; Math. Notes, 107:1 (2020), 80–92  isi  scopus
2. A. A. Illarionov, “The statistical properties of 3D Klein polyhedra”, Mat. Sb., 211:5 (2020),  78–97  mathnet
2019
3. 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
4. A. A. Illarionov, “Asymmetric cryptography and hyperelliptic sequences”, Dal'nevost. Mat. Zh., 19:2 (2019),  185–196  mathnet
5. A. A. Illarionov, “Solution of functional equations related to elliptic functions. II”, Sib. Èlektron. Mat. Izv., 16 (2019),  481–492  mathnet
6. A. A. Illarionov, “Hyperelliptic systems of sequences of rank 4”, Mat. Sb., 210:9 (2019),  59–88  mathnet; Sb. Math., 210:9 (2019), 1259–1287  isi
2018
7. A. A. Illarionov, S. A. Chepurko, “On Wiener's attack on RSA cryptosystem”, Dal'nevost. Mat. Zh., 18:2 (2018),  189–194  mathnet
8. A. A. Illarionov, “On the Somos-4 sequence”, Dal'nevost. Mat. Zh., 18:2 (2018),  183–188  mathnet
9. 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
10. A. A. Illarionov, M. A. Romanov, “Hyperquasipolynomials for the Theta-Function”, Funktsional. Anal. i Prilozhen., 52:3 (2018),  84–87  mathnet  elib; Funct. Anal. Appl., 52:3 (2018), 228–231  isi  scopus
11. A. A. Illarionov, “Distribution of facets of higher-dimensional Klein polyhedra”, Mat. Sb., 209:1 (2018),  58–73  mathnet  elib; Sb. Math., 209:1 (2018), 56–70  isi  scopus
12. 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
2017
13. 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
14. A. A. Illarionov, “Solution of functional equations related to elliptic functions”, Tr. Mat. Inst. Steklova, 299 (2017),  105–117  mathnet  elib; Proc. Steklov Inst. Math., 299 (2017), 96–108  isi  scopus
2016
15. A. A. Illarionov, “Solutions of a functional equation concerning with trilinear differential operators”, Dal'nevost. Mat. Zh., 16:2 (2016),  169–180  mathnet  elib
16. 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
2015
17. A. A. Illarionov, “The distribution of integer lengths of Klein polyhedra edges”, Dal'nevost. Mat. Zh., 15:2 (2015),  214–221  mathnet  elib
18. 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
19. 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
2014
20. 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
21. 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
22. 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
2013
23. 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
2012
24. 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
25. A. A. Illarionov, “On Statistical Properties of Local Minima of Integer Lattices”, Dal'nevost. Mat. Zh., 12:2 (2012),  201–230  mathnet
26. 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
2011
27. 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
28. 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
29. 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
30. A. A. Illarionov, “On cylindrical minima of three-dimensional lattices”, Dal'nevost. Mat. Zh., 11:1 (2011),  37–47  mathnet
31. 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
2009
32. 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
2008
33. A. A. Illarionov, “The solvability of extremal problems for Poisson equation and Stokes system”, Dal'nevost. Mat. Zh., 8:2 (2008),  164–170  mathnet
34. 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
35. 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
2007
36. 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
2004
37. 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
38. 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
39. A. A. Illarionov, “On the solvability of boundary problems for stationary Navier-Stokes equations”, Dal'nevost. Mat. Zh., 2:1 (2001),  16–36  mathnet
40. 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
41. 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
2000
42. 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
43. 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

Presentations in Math-Net.Ru
1. 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
2. Статистические свойства полиэдров Клейна
A. A. Illarionov
Contemporary Problems in Number Theory
April 24, 2014 12:45
3. О статистических свойствах многомерных аналогов непрерывных дробей
A. A. Illarionov
Contemporary Problems in Number Theory
April 21, 2011 12:45
4. 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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