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Shutov, Anton Vladimirovich
Statistics Math-Net.Ru
Total publications: 50
Scientific articles: 48
Presentations: 5

Number of views:
This page:3111
Abstract pages:10367
Full texts:3483
References:1300
Associate professor
Doctor of physico-mathematical sciences
E-mail:

https://www.mathnet.ru/eng/person35446
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/705827

Publications in Math-Net.Ru Citations
2024
1. A. V. Shutov, А. А. Mokrova, “On the number of isohedral polyominoes”, Chebyshevskii Sb., 25:1 (2024),  138–154  mathnet
2. A. V. Shutov, “On numbers with fixed last digits of linear recurrent base expansion”, Dal'nevost. Mat. Zh., 24:1 (2024),  141–150  mathnet
2023
3. A. V. Shutov, “On one additive problem connected with expansions on linear recurrrent sequence”, Chebyshevskii Sb., 24:3 (2023),  228–241  mathnet
4. A. V. Shutov, “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  mathnet  mathscinet; Math. Notes, 114:3 (2023), 387–396  scopus
2022
5. A. A. Zhukova, A. V. Shutov, “An analogue of Eminian's problem for the Fibonacci number system”, Chebyshevskii Sb., 23:2 (2022),  88–105  mathnet
2021
6. A. V. Shutov, “Generalized Rauzy tilings and linear recurrence sequences”, Chebyshevskii Sb., 22:2 (2021),  313–333  mathnet 3
7. A. A. Zhukova, A. V. Shutov, “On Gelfond-type problem for generalized Zeckendorf representations”, Chebyshevskii Sb., 22:2 (2021),  104–120  mathnet 2
8. A. A. Zhukova, A. V. Shutov, “On two relations characterizing the golden ratio”, Dal'nevost. Mat. Zh., 21:2 (2021),  194–202  mathnet
9. A. V. Shutov, “Local Discrepancies in the Problem of the Distribution of the Sequence $\{k\alpha\}$”, Mat. Zametki, 109:3 (2021),  452–463  mathnet  mathscinet  elib; Math. Notes, 109:3 (2021), 473–482  isi  scopus
2020
10. A. V. Shutov, “On one sum associated with Fibonacci numeration system”, Dal'nevost. Mat. Zh., 20:2 (2020),  271–275  mathnet 3
2019
11. A. A. Zhukova, A. V. Shutov, “Rauzy substitution and local structure of torus tilings”, Chebyshevskii Sb., 20:4 (2019),  137–157  mathnet
12. A. V. Shutov, “Generalized Rauzy tilings and bounded remainder sets”, Chebyshevskii Sb., 20:3 (2019),  372–389  mathnet 3
13. A. A. Zhukova, A. V. Shutov, “$n$-crowns in toric tilings into bounded remander sets”, Chebyshevskii Sb., 20:3 (2019),  246–260  mathnet
14. A. V. Shutov, “Rauzy fractals and their number-theoretic applications”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 166 (2019),  110–119  mathnet 1
15. A. A. Zhukova, A. V. Shutov, “Additive problem with $k$ numbers of a special form”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 166 (2019),  10–21  mathnet 1
2018
16. A. V. Shutov, “Substitutions and bounded remainder sets”, Chebyshevskii Sb., 19:2 (2018),  501–522  mathnet  mathscinet  elib 3
17. A. V. Shutov, “Nonautonomous bounded remainder sets”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 12,  94–101  mathnet; Russian Mathematics, 62:12 (2018), 81–87  isi  scopus
2017
18. A. A. Zhukova, A. V. Shutov, “Geometrization of numeration systems”, Chebyshevskii Sb., 18:4 (2017),  222–245  mathnet  elib 4
19. A. V. Shutov, E. V. Kolomeikina, “On a number of polyhex plane tilings”, Dal'nevost. Mat. Zh., 17:2 (2017),  257–264  mathnet  elib
20. A. V. Shutov, “Local discrepancies in the problem linear function fractional parts distribution”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 2,  88–97  mathnet; Russian Math. (Iz. VUZ), 61:2 (2017), 74–82  isi  scopus 2
2016
21. A. V. Shutov, E. V. Kolomeykina, “The estimation of the number of $p2$-tilings of a plane by a given area polyomino”, Chebyshevskii Sb., 17:3 (2016),  204–214  mathnet  mathscinet  elib 1
22. E. P. Davlet'yarova, A. A. Zhukova, A. V. Shutov, “Geometrization of the generalized Fibonacci numeration system with applications to number theory”, Chebyshevskii Sb., 17:2 (2016),  88–112  mathnet  elib 4
23. A. A. Zhukova, A. V. Shutov, “On the distribution function of the remainder term on bounded remainder sets”, Chebyshevskii Sb., 17:1 (2016),  90–107  mathnet  elib 1
24. A. V. Shutov, “Trigonometric Integrals over One-Dimensional Quasilattices of Arbitrary Codimension”, Mat. Zametki, 99:4 (2016),  603–612  mathnet  mathscinet  elib; Math. Notes, 99:4 (2016), 590–597  isi  scopus
2015
25. A. A. Zhukova, A. V. Shutov, “Binary additive problem with numbers of special type”, Chebyshevskii Sb., 16:3 (2015),  246–275  mathnet  elib 1
26. A. V. Shutov, E. V. Kolomeykina, “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  mathnet  mathscinet  elib 2
27. D. V. Kuznetsova, A. V. Shutov, “Exchanged Toric Tilings, Rauzy Substitution, and Bounded Remainder Sets”, Mat. Zametki, 98:6 (2015),  878–897  mathnet  mathscinet  elib; Math. Notes, 98:6 (2015), 932–948  isi  scopus 6
28. A. V. Shutov, “Trigonometric Sums over One-Dimensional Quasilattices of Arbitrary Codimension”, Mat. Zametki, 97:5 (2015),  781–793  mathnet  mathscinet  elib; Math. Notes, 97:5 (2015), 791–802  isi  scopus 3
2014
29. A. V. Shutov, “Farey fractions and permutations generated by fractional parts $\{i\alpha\}$”, Chebyshevskii Sb., 15:1 (2014),  195–203  mathnet
2013
30. E. P. Davletyarova, A. A. Zhukova, A. V. Shutov, “Geometrization of Fibonacci numeration system and its applications to number theory”, Algebra i Analiz, 25:6 (2013),  1–23  mathnet  mathscinet  zmath  elib; St. Petersburg Math. J., 25:6 (2014), 893–907  isi  scopus 11
31. D. V. Kuznetsova, A. V. Shutov, “On the first return times for toric rotations”, Chebyshevskii Sb., 14:4 (2013),  127–130  mathnet 2
32. A. V. Shutov, “On the speed of attainment of the remainder term exact boundaries in the Hecke–Kesten problem”, Chebyshevskii Sb., 14:2 (2013),  173–179  mathnet 2
33. A. V. Shutov, “Multidimensional generalization of sums of fraction parts and their applications to number theory”, Chebyshevskii Sb., 14:1 (2013),  104–118  mathnet 4
34. A. V. Shutov, E. V. Kolomeykina, “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  mathnet 4
2012
35. A. V. Shutov, “Тригонометрические суммы над одномерными квазирешетками”, Chebyshevskii Sb., 13:2 (2012),  136–148  mathnet 5
36. V. V. Krasil'shchikov, A. V. Shutov, “Distribution of points of one-dimensional quasilattices with respect to a variable module”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 3,  17–23  mathnet  mathscinet; Russian Math. (Iz. VUZ), 56:3 (2012), 14–19  scopus 7
2011
37. A. V. Shutov, “On a family of two-dimensional bounded remainder sets”, Chebyshevskii Sb., 12:4 (2011),  264–271  mathnet  mathscinet 7
38. A. V. Shutov, “The two-dimensional Hecke–Kesten problem”, Chebyshevskii Sb., 12:2 (2011),  151–162  mathnet  mathscinet 7
39. A. V. Shutov, “The Hecke–Kesten problem for some integrals”, Chebyshevskii Sb., 12:1 (2011),  172–177  mathnet  mathscinet 3
40. V. V. Krasil'shchikov, A. V. Shutov, “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  mathnet  mathscinet; Math. Notes, 89:1 (2011), 59–67  isi  scopus 12
2010
41. A. V. Shutov, “On the sum of the fractional parts $\sum_{n\leq x}\{ne\}$”, Chebyshevskii Sb., 11:1 (2010),  263–265  mathnet  mathscinet
42. A. V. Shutov, “The arithmetic and geometry of one-dimensional quasilattices”, Chebyshevskii Sb., 11:1 (2010),  255–262  mathnet  mathscinet 9
43. A. V. Shutov, “Inhomogeneous Diophantine approximations and distribution of fractional parts”, Fundam. Prikl. Mat., 16:6 (2010),  189–202  mathnet  mathscinet; J. Math. Sci., 182:4 (2012), 576–585  scopus 6
2009
44. V. V. Krasil'shchikov, A. V. Shutov, V. G. Zhuravlev, “One-dimensional quasiperiodic tilings admitting progressions enclosure”, Izv. Vyssh. Uchebn. Zaved. Mat., 2009, no. 7,  3–9  mathnet  mathscinet  zmath  elib; Russian Math. (Iz. VUZ), 53:7 (2009), 1–6 14
2007
45. A. V. Shutov, “Sturm sequences: Rauzy graphs and forcing”, Chebyshevskii Sb., 8:2 (2007),  128–139  mathnet  mathscinet  zmath 4
2004
46. A. V. Shutov, “Derivatives of circle rotations and similarity of orbits”, Zap. Nauchn. Sem. POMI, 314 (2004),  272–284  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 133:6 (2006), 1765–1771 11
2003
47. A. V. Shutov, “The number of words of a given length in the planar crystallographic groups”, Zap. Nauchn. Sem. POMI, 302 (2003),  188–197  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 129:3 (2005), 3922–3926 9
2002
48. A. V. Shutov, “Growth of the 1-periodic graphs”, Zap. Nauchn. Sem. POMI, 286 (2002),  215–226  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 122:6 (2004), 3709–3714 1
2017
49. A. V. Shutov, V. G. Zhuravlev, A. S. Balci, M. B. Khripunova, “Boris Veniaminovich Levin. On his 90th anniversary”, Chebyshevskii Sb., 18:2 (2017),  315–330  mathnet  elib
2005
50. A. V. Shutov, “Борис Алексеевич Венков. Жизнь и творчество”, Chebyshevskii Sb., 6:3 (2005),  225–239  mathnet

Presentations in Math-Net.Ru
1. О числах с заданным окончанием разложения в обобщённые системы счисления Фибоначчи
A. V. Shutov

November 10, 2022 16:35   
2. Самоподобие орбит поворотов окружности, сдвигов тора и родственных отображений
A. V. Shutov
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 10:00
3. Фракталы Рози и их теоретико-числовые приложения
A. V. Shutov
Contemporary Problems in Number Theory
March 17, 2022 12:45   
4. On some analogs of Eminyan’s problem
A. V. Shutov
Memorial Conference on Analytic Number Theory and Applications Dedicated to the 130th Anniversary of I. M. Vinogradov
September 13, 2021 17:15   
5. Toric tilings into bounded remainder sets
A. V. Shutov
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 30, 2018 15:00

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