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Publications in Math-Net.Ru |
Citations |
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2023 |
1. |
A. A. Illarionov, “Calculation of hyperelliptic systems of sequences of rank 4”, Izv. RAN. Ser. Mat., 87:6 (2023), 76–102 ; Izv. Math., 87:6 (2023), 1185–1209 |
2. |
A. A. Illarionov, “Refinement of Bakhvalov's Estimate for the Error of Korobov's Quadrature Formulas”, Mat. Zametki, 113:6 (2023), 935–939 ; Math. Notes, 113:6 (2023), 864–868 |
3. |
A. A. Illarionov, “Existence of sequences satisfying bilinear type recurrence relations”, Probl. Peredachi Inf., 59:2 (2023), 102–119 |
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2022 |
4. |
A. A. Illarionov, “Distribution of Korobov-Hlawka sequences”, Mat. Sb., 213:9 (2022), 70–96 ; Sb. Math., 213:9 (2022), 1222–1249 |
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2021 |
5. |
A. A. Illarionov, “A probability estimate for the discrepancy of Korobov lattice points”, Mat. Sb., 212:11 (2021), 73–88 ; Sb. Math., 212:11 (2021), 1571–1587 |
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2020 |
6. |
A. A. Illarionov, “On a Multilinear Functional Equation”, Mat. Zametki, 107:1 (2020), 59–73 ; Math. Notes, 107:1 (2020), 80–92 |
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7. |
A. A. Illarionov, “The statistical properties of 3D Klein polyhedra”, Mat. Sb., 211:5 (2020), 78–97 ; Sb. Math., 211:5 (2020), 689–708 |
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2019 |
8. |
A. A. Illarionov, N. V. Markova, “Solution of functional equations related to elliptic functions. III”, Dal'nevost. Mat. Zh., 19:2 (2019), 197–205 |
9. |
A. A. Illarionov, “Asymmetric cryptography and hyperelliptic sequences”, Dal'nevost. Mat. Zh., 19:2 (2019), 185–196 |
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10. |
A. A. Illarionov, “Solution of functional equations related to elliptic functions. II”, Sib. Èlektron. Mat. Izv., 16 (2019), 481–492 |
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11. |
A. A. Illarionov, “Hyperelliptic systems of sequences of rank 4”, Mat. Sb., 210:9 (2019), 59–88 ; Sb. Math., 210:9 (2019), 1259–1287 |
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2018 |
12. |
A. A. Illarionov, S. A. Chepurko, “On Wiener's attack on RSA cryptosystem”, Dal'nevost. Mat. Zh., 18:2 (2018), 189–194 |
13. |
A. A. Illarionov, “On the Somos-4 sequence”, Dal'nevost. Mat. Zh., 18:2 (2018), 183–188 |
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14. |
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 |
15. |
A. A. Illarionov, M. A. Romanov, “Hyperquasipolynomials for the Theta-Function”, Funktsional. Anal. i Prilozhen., 52:3 (2018), 84–87 ; Funct. Anal. Appl., 52:3 (2018), 228–231 |
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16. |
A. A. Illarionov, “Distribution of facets of higher-dimensional Klein polyhedra”, Mat. Sb., 209:1 (2018), 58–73 ; Sb. Math., 209:1 (2018), 56–70 |
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17. |
A. A. Illarionov, “On products of Weierstrass sigma functions”, Zap. Nauchn. Sem. POMI, 467 (2018), 73–84 ; J. Math. Sci. (N. Y.), 243:6 (2019), 872–879 |
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2017 |
18. |
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 |
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19. |
A. A. Illarionov, “Solution of functional equations related to elliptic functions”, Trudy Mat. Inst. Steklova, 299 (2017), 105–117 ; Proc. Steklov Inst. Math., 299 (2017), 96–108 |
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2016 |
20. |
A. A. Illarionov, “Solutions of a functional equation concerning with trilinear differential operators”, Dal'nevost. Mat. Zh., 16:2 (2016), 169–180 |
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21. |
A. A. Illarionov, “Functional Equations and Weierstrass Sigma-Functions”, Funktsional. Anal. i Prilozhen., 50:4 (2016), 43–54 ; Funct. Anal. Appl., 50:4 (2016), 281–290 |
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2015 |
22. |
A. A. Illarionov, “The distribution of integer lengths of Klein polyhedra edges”, Dal'nevost. Mat. Zh., 15:2 (2015), 214–221 |
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23. |
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 |
24. |
A. A. Illarionov, “Some properties of three-dimensional Klein polyhedra”, Mat. Sb., 206:4 (2015), 35–66 ; Sb. Math., 206:4 (2015), 510–539 |
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2014 |
25. |
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 |
26. |
A. A. Illarionov, “On the average number of best approximations of linear forms”, Izv. RAN. Ser. Mat., 78:2 (2014), 61–86 ; Izv. Math., 78:2 (2014), 268–292 |
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27. |
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 ; Sb. Math., 205:3 (2014), 419–431 |
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2013 |
28. |
A. A. Illarionov, “On the statistical properties of Klein polyhedra in three-dimensional lattices”, Mat. Sb., 204:6 (2013), 23–46 ; Sb. Math., 204:6 (2013), 801–823 |
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2012 |
29. |
A. A. Illarionov, “On cylindrical minima of integer lattices”, Algebra i Analiz, 24:2 (2012), 154–170 ; St. Petersburg Math. J., 24:2 (2013), 301–312 |
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30. |
A. A. Illarionov, “On Statistical Properties of Local Minima of Integer Lattices”, Dal'nevost. Mat. Zh., 12:2 (2012), 201–230 |
1
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31. |
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 ; Izv. Math., 76:3 (2012), 535–562 |
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2011 |
32. |
A. A. Illarionov, “The average number of local minima of three-dimensional integer lattices”, Algebra i Analiz, 23:3 (2011), 189–215 ; St. Petersburg Math. J., 23:3 (2012), 551–570 |
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33. |
A. A. Illarionov, Y. A. Soyka, “On the number of local minima of integer lattices”, Dal'nevost. Mat. Zh., 11:2 (2011), 149–154 |
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34. |
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 |
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35. |
A. A. Illarionov, “On cylindrical minima of three-dimensional lattices”, Dal'nevost. Mat. Zh., 11:1 (2011), 37–47 |
2
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36. |
A. A. Illarionov, “Estimates of the Number of Relative Minima of Lattices”, Mat. Zametki, 89:2 (2011), 249–259 ; Math. Notes, 89:2 (2011), 245–254 |
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2009 |
37. |
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 ; Siberian Math. J., 50:4 (2009), 658–662 |
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2008 |
38. |
A. A. Illarionov, “The solvability of extremal problems for Poisson equation and Stokes system”, Dal'nevost. Mat. Zh., 8:2 (2008), 164–170 |
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39. |
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 |
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40. |
A. A. Illarionov, “Nonlocal overdetermined boundary value problem for stationary Navier–Stokes equations”, Zh. Vychisl. Mat. Mat. Fiz., 48:6 (2008), 1056–1061 ; Comput. Math. Math. Phys., 48:6 (2008), 996–1000 |
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2007 |
41. |
A. A. Illarionov, “A nonlocal boundary value problem with overdetermination for an elliptic equation”, Sib. Zh. Ind. Mat., 10:2 (2007), 64–69 |
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2004 |
42. |
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 |
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2001 |
43. |
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 ; Differ. Equ., 37:5 (2001), 724–731 |
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44. |
A. A. Illarionov, “On the solvability of boundary problems for stationary Navier-Stokes equations”, Dal'nevost. Mat. Zh., 2:1 (2001), 16–36 |
5
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45. |
A. A. Illarionov, “Optimal Boundary Control of Steady-State Flow of a Viscous Inhomogeneous Incompressible Fluid”, Mat. Zametki, 69:5 (2001), 666–678 ; Math. Notes, 69:5 (2001), 614–624 |
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46. |
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 ; Comput. Math. Math. Phys., 41:7 (2001), 993–1004 |
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2000 |
47. |
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 |
48. |
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 ; Comput. Math. Math. Phys., 40:7 (2000), 1017–1026 |
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Presentations in Math-Net.Ru |
1. |
Гиперэллиптические последовательности и асимметричные криптосистемы A. A. Illarionov
November 10, 2022 18:20
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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
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3. |
Отклонение последовательностей Коробова-Главки A. A. Illarionov
Contemporary Problems in Number Theory March 24, 2022 12:45
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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
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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
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6. |
Статистические свойства полиэдров Клейна A. A. Illarionov
Contemporary Problems in Number Theory April 24, 2014 12:45
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7. |
О статистических свойствах многомерных аналогов
непрерывных дробей A. A. Illarionov
Contemporary Problems in Number Theory April 21, 2011 12:45
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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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