Ustinov Alexey Vladimirovich

Publications in Math-Net.Ru

1. On the last entry in Gauss' mathematical diary
   
   Mat. Zametki, 117:5 (2025),  799–803
2. On Periodicity of the Somos Sequences Modulo $m$
   
   Mat. Zametki, 115:3 (2024),  439–449
3. A Short Proof of the Landsberg–Schaar Identity
   
   Mat. Zametki, 112:3 (2022),  478–480
4. Feynman checkers: towards algorithmic quantum theory
   
   Uspekhi Mat. Nauk, 77:3(465) (2022),  73–160
5. Tropical sequences associated with Somos sequences
   
   Chebyshevskii Sb., 22:1 (2021),  118–132
6. On Somos-4 and Somos-5 Sequences
   
   Mat. Zametki, 110:3 (2021),  478–480
7. Three-dimensional analogues of the Heath-Brown and Selberg identities
   
   Dokl. RAN. Math. Inf. Proc. Upr., 494 (2020),  14–16
8. A simplified proof of Ward's formula for elliptic sequences
   
   Dal'nevost. Mat. Zh., 19:1 (2019),  84–87
9. On the Laurent phenomenon for Somos-$4$ and Somos-$5$ sequences
   
   Funktsional. Anal. i Prilozhen., 53:3 (2019),  79–83
10. Distribution of rational points on the circle of unit radius
    
    Izv. RAN. Ser. Mat., 83:5 (2019),  107–148
11. On Formal Buchstaber Groups of Special Form
    
    Mat. Zametki, 105:6 (2019),  899–910
12. Symmetric semigroups with three generators
    
    Mat. Sb., 210:12 (2019),  31–42
13. An Elementary Approach to the Study of Somos Sequences
    
    Trudy Mat. Inst. Steklova, 305 (2019),  330–343
14. The Distribution of the Rational Points on the Unit Circle
    
    Dokl. Akad. Nauk, 481:2 (2018),  131–135
15. Buchstaber Formal Group and Elliptic Functions of Small Levels
    
    Mat. Zametki, 102:1 (2017),  96–108
16. Mechanical characteristics of molecular dynamics model and Korobov polynomials
    
    Dal'nevost. Mat. Zh., 16:1 (2016),  39–43
17. Coefficient rings of Tate formal groups determining Krichever genera
    
    Trudy Mat. Inst. Steklova, 292 (2016),  43–68
18. Distribution of algebraic points in domains of small measure and near the surfaces
    
    Chebyshevskii Sb., 16:3 (2015),  78–94
19. On Points of the Modular Hyperbola under the Graph of a Linear Function
    
    Mat. Zametki, 97:2 (2015),  296–301
20. On a Generalization of Kloosterman Sums
    
    Mat. Zametki, 97:1 (2015),  154–157
21. Three-dimensional continued fractions and Kloosterman sums
    
    Uspekhi Mat. Nauk, 70:3(423) (2015),  107–180
22. Coefficient rings of formal group laws
    
    Mat. Sb., 206:11 (2015),  19–60
23. The distribution of solutions of a determinantal equation
    
    Mat. Sb., 206:7 (2015),  103–134
24. On the distribution of points on the modular hyperbola
    
    Dal'nevost. Mat. Zh., 14:2 (2014),  141–155
25. On continued fractions of equal length
    
    Dal'nevost. Mat. Zh., 14:1 (2014),  96–99
26. Calculation of a Gauss sum via the discrete Fourier transform
    
    Dal'nevost. Mat. Zh., 14:1 (2014),  90–95
27. Сквозь сеть сопротивлений
    
    Mat. Pros., Ser. 3, 18 (2014),  33–65
28. On the Three-Dimensional Vahlen Theorem
    
    Mat. Zametki, 95:1 (2014),  154–156
29. Spin chains and Arnold's problem on the Gauss-Kuz'min statistics for quadratic irrationals
    
    Mat. Sb., 204:5 (2013),  143–160
30. Случайные блуждания и электрические цепи
    
    Mat. Pros., Ser. 3, 16 (2012),  25–47
31. Minimal Vector Systems in 3-Dimensional Lattices and Analog of Vahlen's Theorem for 3-Dimensional Minkowski's Continued Fractions
    
    Sovrem. Probl. Mat., 16 (2012),  103–128
32. Geometric proof of Rødseth's formula for Frobenius numbers
    
    Trudy Mat. Inst. Steklova, 276 (2012),  280–287
33. On Voronoi's cylindric minima theorem
    
    Dal'nevost. Mat. Zh., 11:2 (2011),  213–221
34. On Gauss — Kuz'min statistics in short intervals
    
    Dal'nevost. Mat. Zh., 11:1 (2011),  93–98
35. Сопротивление между узлами решетки
    
    Mat. Pros., Ser. 3, 15 (2011),  229–230
36. On the distribution of Frobenius numbers with three arguments
    
    Izv. RAN. Ser. Mat., 74:5 (2010),  145–170
37. The Mean Number of Steps in the Euclidean Algorithm with Odd Incomplete Quotients
    
    Mat. Zametki, 88:4 (2010),  594–604
38. On the statistical properties of elements of continued fractions
    
    Dokl. Akad. Nauk, 424:4 (2009),  459–461
39. On the distribution of integer points
    
    Dal'nevost. Mat. Zh., 9:1-2 (2009),  176–181
40. The statistics of particle trajectories in the inhomogeneous Sinai problem for a two-dimensional lattice
    
    Izv. RAN. Ser. Mat., 73:4 (2009),  17–36
41. The Mean Number of Steps in the Euclidean Algorithm with Least Absolute-Value Remainders
    
    Mat. Zametki, 85:1 (2009),  153–156
42. The solution of Arnold's problem on the weak asymptotics of Frobenius numbers with three arguments
    
    Mat. Sb., 200:4 (2009),  131–160
43. On the number of solutions of the congruence $xy\equiv l$ $(\operatorname{mod}q)$ under the graph of a twice continuously differentiable function
    
    Algebra i Analiz, 20:5 (2008),  186–216
44. The Statistics of Particle Trajectories in the Homogeneous Sinai Problem for a Two-Dimensional Lattice
    
    Funktsional. Anal. i Prilozhen., 42:3 (2008),  10–22
45. Asymptotic behaviour of the first and second moments for the number of steps in the Euclidean algorithm
    
    Izv. RAN. Ser. Mat., 72:5 (2008),  189–224
46. Calculation of the variance in a problem in the theory of continued fractions
    
    Mat. Sb., 198:6 (2007),  139–158
47. A Short Proof of Euler's Identity for Continuants
    
    Mat. Zametki, 79:1 (2006),  155–156
48. On Gauss–Kuz'min statistics for finite continued fractions
    
    Fundam. Prikl. Mat., 11:6 (2005),  195–208
49. On the statistical properties of finite continued fractions
    
    Zap. Nauchn. Sem. POMI, 322 (2005),  186–211
50. A Discrete Analog of the Poisson Summation Formula
    
    Mat. Zametki, 73:1 (2003),  106–112
51. On a Diophantine inequality
    
    Chebyshevskii Sb., 3:1 (2002),  103–119
52. On some cubic equations
    
    Fundam. Prikl. Mat., 8:1 (2002),  263–271
53. A Discrete Analog of Euler's Summation Formula
    
    Mat. Zametki, 71:6 (2002),  931–936
54. On summation and interpolation formulas
    
    Chebyshevskii Sb., 1:1 (2001),  52–71
55. On the number of summands in the asymptotic formula for the number of solutions to Waring's equation
    
    Mat. Zametki, 64:2 (1998),  285–296


56. Зоногоны (окончание)
    
    Kvant, 2024, no. 10,  7–13
57. Зоногоны
    
    Kvant, 2024, no. 9,  12–19
58. Когда фигурные числа совпадают
    
    Kvant, 2024, no. 1,  32–33
59. Последовательности Сомоса (окончание)
    
    Kvant, 2023, no. 9,  11–19
60. Последовательности Сомоса
    
    Kvant, 2023, no. 8,  8–14
61. Волшебные пятерки
    
    Kvant, 2023, no. 7,  41
62. Цепные дроби вокруг нас
    
    Kvant, 2010, no. 2,  32–33
63. Две знаменитые формулы
    
    Kvant, 2008, no. 2,  11–15
64. Полуправильные многоугольники на решетках
    
    Kvant, 2007, no. 6,  13–15
65. Problems on Lattices, ended
    
    Math. Ed., 2007, no. 2(42),  33–57
66. Окружности на решетках
    
    Kvant, 2006, no. 6,  10–14
67. Problems on Lattices
    
    Math. Ed., 2006, no. 4(39),  47–67