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