Shutov, Anton Vladimirovich Generalized Rauzy tilings and bounded remainder sets. (Russian. English summary) Zbl 1439.52020 Chebyshevskiĭ Sb. 20, No. 3(71), 372-389 (2019). MSC: 52C20 05B45 PDF BibTeX XML Cite \textit{A. V. Shutov}, Chebyshevskiĭ Sb. 20, No. 3(71), 372--389 (2019; Zbl 1439.52020) Full Text: DOI MNR
Zhukova, Alla Adol’fovna; Shutov, Anton Vladimirovich \(n\)-crowns in toric tilings into bounded remander sets. (Russian. English summary) Zbl 1441.37022 Chebyshevskiĭ Sb. 20, No. 3(71), 246-260 (2019). MSC: 37B52 37B10 PDF BibTeX XML Cite \textit{A. A. Zhukova} and \textit{A. V. Shutov}, Chebyshevskiĭ Sb. 20, No. 3(71), 246--260 (2019; Zbl 1441.37022) Full Text: DOI MNR
Shutov, Anton Vladimirovich Substitutions and bounded remainder sets. (Russian. English summary) Zbl 1445.11076 Chebyshevskiĭ Sb. 19, No. 2(66), 501-522 (2018). Reviewer: Symon Serbenyuk (Kyiv) MSC: 11K06 11K38 11K55 PDF BibTeX XML Cite \textit{A. V. Shutov}, Chebyshevskiĭ Sb. 19, No. 2(66), 501--522 (2018; Zbl 1445.11076) Full Text: DOI MNR
Zhukova, A. A.; Shutov, A. V. Geometrization of numeration systems. (Russian. English summary) Zbl 07197290 Chebyshevskiĭ Sb. 18, No. 4(64), 222-245 (2017). MSC: 11B PDF BibTeX XML Cite \textit{A. A. Zhukova} and \textit{A. V. Shutov}, Chebyshevskiĭ Sb. 18, No. 4(64), 222--245 (2017; Zbl 07197290) Full Text: DOI MNR
Shutov, A. V.; Zhuravlev, V. G.; Balci, A. S.; Khripunova, M. B. Boris Veniaminovich Levin. On his 90th anniversary. (Russian. English summary) Zbl 1437.01037 Chebyshevskiĭ Sb. 18, No. 2(62), 315-330 (2017). MSC: 01A70 PDF BibTeX XML Cite \textit{A. V. Shutov} et al., Chebyshevskiĭ Sb. 18, No. 2(62), 315--330 (2017; Zbl 1437.01037) Full Text: DOI MNR
Zhukova, A. A.; Shutov, A. V. On the distribution function of the remainder term on bounded remainder sets. (Russian. English summary) Zbl 1440.11128 Chebyshevskiĭ Sb. 17, No. 1(57), 90-107 (2016). MSC: 11J71 37A44 PDF BibTeX XML Cite \textit{A. A. Zhukova} and \textit{A. V. Shutov}, Chebyshevskiĭ Sb. 17, No. 1(57), 90--107 (2016; Zbl 1440.11128) Full Text: MNR
Shutov, A. V.; Kolomeĭkina, E. V. The estimation of the number of \(p2\)-tilings of a plane on a polyomino of given area. (Russian. English summary) Zbl 1436.52019 Chebyshevskiĭ Sb. 17, No. 3(59), 204-214 (2016). MSC: 52C20 PDF BibTeX XML Cite \textit{A. V. Shutov} and \textit{E. V. Kolomeĭkina}, Chebyshevskiĭ Sb. 17, No. 3(59), 204--214 (2016; Zbl 1436.52019) Full Text: MNR
Davlet’yarova, E. P.; Zhukova, A. A.; Shutov, A. V. Geometrization of the generalized Fibonacci numeration system with applications to number theory. (Russian. English summary) Zbl 1428.11022 Chebyshevskiĭ Sb. 17, No. 2(58), 88-112 (2016). MSC: 11A67 11B39 PDF BibTeX XML Cite \textit{E. P. Davlet'yarova} et al., Chebyshevskiĭ Sb. 17, No. 2(58), 88--112 (2016; Zbl 1428.11022) Full Text: DOI MNR
Zhukova, A. A.; Shutov, A. V. Binary additive problem with numbers of special type. (Russian. English summary) Zbl 1437.11027 Chebyshevskiĭ Sb. 16, No. 3(55), 246-275 (2015). MSC: 11B39 11H06 11P32 11K38 PDF BibTeX XML Cite \textit{A. A. Zhukova} and \textit{A. V. Shutov}, Chebyshevskiĭ Sb. 16, No. 3(55), 246--275 (2015; Zbl 1437.11027) Full Text: MNR
Shutov, A. V. Farey fractions and permutations generated by fractional parts \(\{i\alpha\}\). (English) Zbl 1434.11050 Chebyshevskiĭ Sb. 15, No. 1(49), 195-203 (2014). MSC: 11B57 05A05 PDF BibTeX XML Cite \textit{A. V. Shutov}, Chebyshevskiĭ Sb. 15, No. 1(49), 195--203 (2014; Zbl 1434.11050) Full Text: MNR
Kuznetsova, D. V.; Shutov, A. V. On the first return times for toric rotations. (Russian. English summary) Zbl 1425.37008 Chebyshevskiĭ Sb. 14, No. 4(48), 127-130 (2013). MSC: 37A50 PDF BibTeX XML Cite \textit{D. V. Kuznetsova} and \textit{A. V. Shutov}, Chebyshevskiĭ Sb. 14, No. 4(48), 127--130 (2013; Zbl 1425.37008) Full Text: DOI MNR
Shutov, A. V. On the speed of attainment of the remainder term exact boundaries in the Hecke-Kesten problem. (Russian. English summary) Zbl 1430.11095 Chebyshevskiĭ Sb. 14, No. 2(46), 173-179 (2013). MSC: 11J71 PDF BibTeX XML Cite \textit{A. V. Shutov}, Chebyshevskiĭ Sb. 14, No. 2(46), 173--179 (2013; Zbl 1430.11095) Full Text: MNR
Shutov, A. V. Multidimensional generalization of sums of fractional parts and their number-theoretic applications. (Russian. English summary) Zbl 1434.11148 Chebyshevskiĭ Sb. 14, No. 1(45), 104-118 (2013). MSC: 11K31 11K38 PDF BibTeX XML Cite \textit{A. V. Shutov}, Chebyshevskiĭ Sb. 14, No. 1(45), 104--118 (2013; Zbl 1434.11148) Full Text: DOI MNR
Shutov, A. V. Trigonometric sums over one-dimensional quasilattices. (Russian) Zbl 1311.11077 Chebyshevskiĭ Sb. 13, No. 2(42), 136-148 (2012). MSC: 11L03 PDF BibTeX XML Cite \textit{A. V. Shutov}, Chebyshevskiĭ Sb. 13, No. 2(42), 136--148 (2012; Zbl 1311.11077) Full Text: MNR
Shutov, A. V. On a family of two-dimensional bounded remainder sets. (Russian) Zbl 1302.11048 Chebyshevskiĭ Sb. 12, No. 4(40), 264-271 (2011). Reviewer: Dmitriy Frolenkov (Moscow) MSC: 11J71 11H06 11K06 PDF BibTeX XML Cite \textit{A. V. Shutov}, Chebyshevskiĭ Sb. 12, No. 4(40), 264--271 (2011; Zbl 1302.11048) Full Text: MNR
Shutov, A. V. The two-dimensional Hecke-Kesten problem. (Russian) Zbl 1306.11055 Chebyshevskiĭ Sb. 12, No. 2(38), 151-162 (2011). Reviewer: Dmitriy Frolenkov (Moscow) MSC: 11J71 11H06 11K06 PDF BibTeX XML Cite \textit{A. V. Shutov}, Chebyshevskiĭ Sb. 12, No. 2(38), 151--162 (2011; Zbl 1306.11055) Full Text: MNR
Shutov, A. V. The Hecke-Kesten problem for some integrals. (Russian) Zbl 1302.11047 Chebyshevskiĭ Sb. 12, No. 1(37), 172-177 (2011). Reviewer: Dmitriy Frolenkov (Moscow) MSC: 11J71 11K38 11K31 PDF BibTeX XML Cite \textit{A. V. Shutov}, Chebyshevskiĭ Sb. 12, No. 1(37), 172--177 (2011; Zbl 1302.11047) Full Text: MNR
Shutov, A. V. On the sum of the fractional parts \(\sum_{n\leq x}\{ne\}\). (Russian. English summary) Zbl 1295.11079 Chebyshevskiĭ Sb. 11, No. 1(33), 263-265 (2010). Reviewer: Artūras Dubickas (Vilnius) MSC: 11J54 11K31 11K38 PDF BibTeX XML Cite \textit{A. V. Shutov}, Chebyshevskiĭ Sb. 11, No. 1(33), 263--265 (2010; Zbl 1295.11079) Full Text: MNR
Shutov, A. V. The arithmetic and geometry of one-dimensional quasilattices. (Russian. English summary) Zbl 1290.11103 Chebyshevskiĭ Sb. 11, No. 1(33), 255-262 (2010). MSC: 11H06 11D04 PDF BibTeX XML Cite \textit{A. V. Shutov}, Chebyshevskiĭ Sb. 11, No. 1(33), 255--262 (2010; Zbl 1290.11103) Full Text: MNR
Shutov, A. V. Sturm sequences: Rauzy graphs and forcing. (Russian) Zbl 1236.11028 Chebyshevskiĭ Sb. 8, No. 2(22), 128-139 (2007). Reviewer: Alexander Zvonkin (MR 2641009) MSC: 11B85 37B10 05A05 11A55 05C70 68R10 68R15 PDF BibTeX XML Cite \textit{A. V. Shutov}, Chebyshevskiĭ Sb. 8, No. 2(22), 128--139 (2007; Zbl 1236.11028)
Shutov, A. V. Number systems and bounded remainder sets. (Russian) Zbl 1241.11091 Chebyshevskiĭ Sb. 7, No. 3(19), 110-128 (2006). Reviewer: Olaf Ninnemann (Berlin) MSC: 11K38 11K31 PDF BibTeX XML Cite \textit{A. V. Shutov}, Chebyshevskiĭ Sb. 7, No. 3(19), 110--128 (2006; Zbl 1241.11091)
Shutov, A. V. On sums of fractional parts. (Russian) Zbl 1241.11073 Chebyshevskiĭ Sb. 7, No. 1(17), 278-285 (2006). MSC: 11J54 PDF BibTeX XML Cite \textit{A. V. Shutov}, Chebyshevskiĭ Sb. 7, No. 1(17), 278--285 (2006; Zbl 1241.11073)
Budarina, N. V.; Manuĭlov, N. N.; Shutov, A. V. N. M. Korobov and the theory of the distribution of fractional parts. (Russian) Zbl 1142.11300 Chebyshevskiĭ Sb. 6, No. 1(13), 82-83 (2005). MSC: 11-03 01A70 11J71 PDF BibTeX XML Cite \textit{N. V. Budarina} et al., Chebyshevskiĭ Sb. 6, No. 1(13), 82--83 (2005; Zbl 1142.11300)
Shutov, A. V. On the distribution of fractional parts. (Russian. English summary) Zbl 1144.11060 Chebyshevskiĭ Sb. 5, No. 3(11), 112-121 (2004). Reviewer: Zhu Yaochen (Beijing) MSC: 11K06 11J71 PDF BibTeX XML Cite \textit{A. V. Shutov}, Chebyshevskiĭ Sb. 5, No. 3(11), 112--121 (2004; Zbl 1144.11060)
Shutov, A. V. The growth of 1-periodic graphs. (Russian) Zbl 1106.05089 Chebyshevskiĭ Sb. 4, No. 2(6), 109-121 (2003). Reviewer: Ljuben Mutafchiev (Sofia) MSC: 05C80 05C12 PDF BibTeX XML Cite \textit{A. V. Shutov}, Chebyshevskiĭ Sb. 4, No. 2(6), 109--121 (2003; Zbl 1106.05089)