Shutov Anton Vladimirovich

Publications in Math-Net.Ru

1. On the number of isohedral polyominoes
   
   Chebyshevskii Sb., 25:1 (2024),  138–154
2. On numbers with fixed last digits of linear recurrent base expansion
   
   Dal'nevost. Mat. Zh., 24:1 (2024),  141–150
3. On one additive problem connected with expansions on linear recurrrent sequence
   
   Chebyshevskii Sb., 24:3 (2023),  228–241
4. On the Sum of Digits of Expansions of a Pair of Consecutive Numbers over a Linear Recurrent Sequence
   
   Mat. Zametki, 114:3 (2023),  447–457
5. An analogue of Eminian's problem for the Fibonacci number system
   
   Chebyshevskii Sb., 23:2 (2022),  88–105
6. Generalized Rauzy tilings and linear recurrence sequences
   
   Chebyshevskii Sb., 22:2 (2021),  313–333
7. On Gelfond-type problem for generalized Zeckendorf representations
   
   Chebyshevskii Sb., 22:2 (2021),  104–120
8. On two relations characterizing the golden ratio
   
   Dal'nevost. Mat. Zh., 21:2 (2021),  194–202
9. Local Discrepancies in the Problem of the Distribution of the Sequence $\{k\alpha\}$
   
   Mat. Zametki, 109:3 (2021),  452–463
10. On one sum associated with Fibonacci numeration system
    
    Dal'nevost. Mat. Zh., 20:2 (2020),  271–275
11. Rauzy substitution and local structure of torus tilings
    
    Chebyshevskii Sb., 20:4 (2019),  137–157
12. Generalized Rauzy tilings and bounded remainder sets
    
    Chebyshevskii Sb., 20:3 (2019),  372–389
13. $n$-crowns in toric tilings into bounded remander sets
    
    Chebyshevskii Sb., 20:3 (2019),  246–260
14. Rauzy fractals and their number-theoretic applications
    
    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 166 (2019),  110–119
15. Additive problem with $k$ numbers of a special form
    
    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 166 (2019),  10–21
16. Substitutions and bounded remainder sets
    
    Chebyshevskii Sb., 19:2 (2018),  501–522
17. Nonautonomous bounded remainder sets
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 12,  94–101
18. Geometrization of numeration systems
    
    Chebyshevskii Sb., 18:4 (2017),  222–245
19. On a number of polyhex plane tilings
    
    Dal'nevost. Mat. Zh., 17:2 (2017),  257–264
20. Local discrepancies in the problem linear function fractional parts distribution
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 2,  88–97
21. The estimation of the number of $p2$-tilings of a plane by a given area polyomino
    
    Chebyshevskii Sb., 17:3 (2016),  204–214
22. Geometrization of the generalized Fibonacci numeration system with applications to number theory
    
    Chebyshevskii Sb., 17:2 (2016),  88–112
23. On the distribution function of the remainder term on bounded remainder sets
    
    Chebyshevskii Sb., 17:1 (2016),  90–107
24. Trigonometric Integrals over One-Dimensional Quasilattices of Arbitrary Codimension
    
    Mat. Zametki, 99:4 (2016),  603–612
25. Binary additive problem with numbers of special type
    
    Chebyshevskii Sb., 16:3 (2015),  246–275
26. The estimating of the number of lattice tilings of a plane by a given area centrosymmetrical polyomino
    
    Model. Anal. Inform. Sist., 22:2 (2015),  295–303
27. Exchanged Toric Tilings, Rauzy Substitution, and Bounded Remainder Sets
    
    Mat. Zametki, 98:6 (2015),  878–897
28. Trigonometric Sums over One-Dimensional Quasilattices of Arbitrary Codimension
    
    Mat. Zametki, 97:5 (2015),  781–793
29. Farey fractions and permutations generated by fractional parts $\{i\alpha\}$
    
    Chebyshevskii Sb., 15:1 (2014),  195–203
30. Geometrization of Fibonacci numeration system and its applications to number theory
    
    Algebra i Analiz, 25:6 (2013),  1–23
31. On the first return times for toric rotations
    
    Chebyshevskii Sb., 14:4 (2013),  127–130
32. On the speed of attainment of the remainder term exact boundaries in the Hecke–Kesten problem
    
    Chebyshevskii Sb., 14:2 (2013),  173–179
33. Multidimensional generalization of sums of fraction parts and their applications to number theory
    
    Chebyshevskii Sb., 14:1 (2013),  104–118
34. The Estimation of the Number of Lattice Tilings of a Plane by a Given Area Polyomino
    
    Model. Anal. Inform. Sist., 20:5 (2013),  148–157
35. Тригонометрические суммы над одномерными квазирешетками
    
    Chebyshevskii Sb., 13:2 (2012),  136–148
36. Distribution of points of one-dimensional quasilattices with respect to a variable module
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 3,  17–23
37. On a family of two-dimensional bounded remainder sets
    
    Chebyshevskii Sb., 12:4 (2011),  264–271
38. The two-dimensional Hecke–Kesten problem
    
    Chebyshevskii Sb., 12:2 (2011),  151–162
39. The Hecke–Kesten problem for some integrals
    
    Chebyshevskii Sb., 12:1 (2011),  172–177
40. Description and Exact Maximum and Minimum Values of the Remainder in the Problem of the Distribution of Fractional Parts
    
    Mat. Zametki, 89:1 (2011),  43–52
41. On the sum of the fractional parts $\sum_{n\leq x}\{ne\}$
    
    Chebyshevskii Sb., 11:1 (2010),  263–265
42. The arithmetic and geometry of one-dimensional quasilattices
    
    Chebyshevskii Sb., 11:1 (2010),  255–262
43. Inhomogeneous Diophantine approximations and distribution of fractional parts
    
    Fundam. Prikl. Mat., 16:6 (2010),  189–202
44. One-dimensional quasiperiodic tilings admitting progressions enclosure
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2009, no. 7,  3–9
45. Sturm sequences: Rauzy graphs and forcing
    
    Chebyshevskii Sb., 8:2 (2007),  128–139
46. Derivatives of circle rotations and similarity of orbits
    
    Zap. Nauchn. Sem. POMI, 314 (2004),  272–284
47. The number of words of a given length in the planar crystallographic groups
    
    Zap. Nauchn. Sem. POMI, 302 (2003),  188–197
48. Growth of the 1-periodic graphs
    
    Zap. Nauchn. Sem. POMI, 286 (2002),  215–226


49. Boris Veniaminovich Levin. On his 90th anniversary
    
    Chebyshevskii Sb., 18:2 (2017),  315–330
50. Борис Алексеевич Венков. Жизнь и творчество
    
    Chebyshevskii Sb., 6:3 (2005),  225–239