Zhukova, A. A.; Shutov, A. V. Additive problem with \(k\) numbers of a special form. (English. Russian original) Zbl 1498.11205 J. Math. Sci., New York 260, No. 2, 163-174 (2022); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 166, 10-21 (2019). Reviewer: Yong-Gao Chen (Nanjing) MSC: 11P70 11B13 PDFBibTeX XMLCite \textit{A. A. Zhukova} and \textit{A. V. Shutov}, J. Math. Sci., New York 260, No. 2, 163--174 (2022; Zbl 1498.11205); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 166, 10--21 (2019) Full Text: DOI
Zhukova, A. A.; Shutov, A. V. Geometrization of numeration systems. (Russian. English summary) Zbl 1468.11026 Chebyshevskiĭ Sb. 18, No. 4(64), 222-245 (2017). MSC: 11A67 PDFBibTeX XMLCite \textit{A. A. Zhukova} and \textit{A. V. Shutov}, Chebyshevskiĭ Sb. 18, No. 4(64), 222--245 (2017; Zbl 1468.11026) 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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \textit{A. A. Zhukova} and \textit{A. V. Shutov}, Chebyshevskiĭ Sb. 16, No. 3(55), 246--275 (2015; Zbl 1437.11027) Full Text: MNR
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 PDFBibTeX XMLCite \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