Shutov, A. V. Nonautonomous bounded remainder sets. (English. Russian original) Zbl 07043869 Russ. Math. 62, No. 12, 81-87 (2018); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2018, No. 12, 94-101 (2018). MSC: 11K06 11K38 11K55 PDF BibTeX XML Cite \textit{A. V. Shutov}, Russ. Math. 62, No. 12, 81--87 (2018; Zbl 07043869); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2018, No. 12, 94--101 (2018) Full Text: DOI
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. Local discrepancies in the problem of fractional parts distribution of a linear function. (English. Russian original) Zbl 1418.11113 Russ. Math. 61, No. 2, 74-82 (2017); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2017, No. 2, 88-97 (2017). MSC: 11K38 11K06 11K31 PDF BibTeX XML Cite \textit{A. V. Shutov}, Russ. Math. 61, No. 2, 74--82 (2017; Zbl 1418.11113); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2017, No. 2, 88--97 (2017) Full Text: DOI
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
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
Shutov, A. V. Trigonometric integrals over one-dimensional quasilattices of arbitrary codimension. (English. Russian original) Zbl 1359.11071 Math. Notes 99, No. 4, 590-597 (2016); translation from Mat. Zametki 99, No. 4, 603-612 (2016). Reviewer: Tonko Tonkov (Sofia) MSC: 11L03 11H31 PDF BibTeX XML Cite \textit{A. V. Shutov}, Math. Notes 99, No. 4, 590--597 (2016; Zbl 1359.11071); translation from Mat. Zametki 99, No. 4, 603--612 (2016) Full Text: DOI
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
Abrosimova, A. A. BR-sets. (Russian. English summary) Zbl 1436.11095 Chebyshevskiĭ Sb. 16, No. 2(54), 8-22 (2015). Reviewer: Anton Shutov (Vladimir) MSC: 11K38 11J71 PDF BibTeX XML Cite \textit{A. A. Abrosimova}, Chebyshevskiĭ Sb. 16, No. 2(54), 8--22 (2015; Zbl 1436.11095) Full Text: DOI MNR
Kuznetsova, D. V.; Shutov, A. V. Exchanged toric tilings, Rauzy substitution, and bounded remainder sets. (English. Russian original) Zbl 1387.11052 Math. Notes 98, No. 6, 932-948 (2015); translation from Mat. Zametki 98, No. 6, 878-897 (2015). MSC: 11J71 11H06 37B10 37B50 PDF BibTeX XML Cite \textit{D. V. Kuznetsova} and \textit{A. V. Shutov}, Math. Notes 98, No. 6, 932--948 (2015; Zbl 1387.11052); translation from Mat. Zametki 98, No. 6, 878--897 (2015) Full Text: DOI
Shutov, A. V. Trigonometric sums over one-dimensional quasilattices of arbitrary codimension. (English. Russian original) Zbl 1331.11062 Math. Notes 97, No. 5, 791-802 (2015); translation from Mat. Zametki 97, No. 5, 781-793 (2015). Reviewer: Tonko Tonkov (Sofia) MSC: 11L03 PDF BibTeX XML Cite \textit{A. V. Shutov}, Math. Notes 97, No. 5, 791--802 (2015; Zbl 1331.11062); translation from Mat. Zametki 97, No. 5, 781--793 (2015) Full Text: DOI
Zhuravlev, V. G. Embeddings of circular orbits and the distribution of fractional parts. (English. Russian original) Zbl 1354.11052 St. Petersbg. Math. J. 26, No. 6, 881-909 (2015); translation from Algebra Anal. 26, No. 6, 29-68 (2014). MSC: 11K06 11K31 11J70 PDF BibTeX XML Cite \textit{V. G. Zhuravlev}, St. Petersbg. Math. J. 26, No. 6, 881--909 (2015; Zbl 1354.11052); translation from Algebra Anal. 26, No. 6, 29--68 (2014) Full Text: DOI
Davlet’yarova, E. P.; Zhukova, A. A.; Shutov, A. V. Geometrization of the Fibonacci numeration system, with applications to number theory. (English. Russian original) Zbl 1369.11013 St. Petersbg. Math. J. 25, No. 6, 893-907 (2014); translation from Algebra Anal. 25, No. 6, 1-23 (2013). MSC: 11B39 11A67 PDF BibTeX XML Cite \textit{E. P. Davlet'yarova} et al., St. Petersbg. Math. J. 25, No. 6, 893--907 (2014; Zbl 1369.11013); translation from Algebra Anal. 25, No. 6, 1--23 (2013) Full Text: DOI
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
Krasil’shchikov, V. V.; Shutov, A. V. Distribution of points of one-dimensional quasilattices with respect to a variable module. (English. Russian original) Zbl 1347.11017 Russ. Math. 56, No. 3, 14-19 (2012); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2012, No. 3, 17-23 (2012). MSC: 11B39 11B83 05B45 PDF BibTeX XML Cite \textit{V. V. Krasil'shchikov} and \textit{A. V. Shutov}, Russ. Math. 56, No. 3, 14--19 (2012; Zbl 1347.11017); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2012, No. 3, 17--23 (2012) Full Text: DOI
Krasil’shchikov, V. V.; Shutov, A. V. Description and exact maximum and minimum values of the remainder in the problem of the distribution of fractional parts. (English. Russian original) Zbl 1303.11078 Math. Notes 89, No. 1, 59-67 (2011); translation from Mat. Zametki 89, No. 1, 43-52 (2011). Reviewer: Dmitriy Frolenkov (Moscow) MSC: 11J71 11K38 11K31 PDF BibTeX XML Cite \textit{V. V. Krasil'shchikov} and \textit{A. V. Shutov}, Math. Notes 89, No. 1, 59--67 (2011; Zbl 1303.11078); translation from Mat. Zametki 89, No. 1, 43--52 (2011) Full Text: DOI