Hbaib, M.; Guidara, S.; Zouari, S. On the conjecture of Erdős, Joò and Komornik for \(p\)-adic numbers. (English) Zbl 07899210 Res. Number Theory 10, No. 3, Paper No. 71, 8 p. (2024). MSC: 11R06 11A67 11K16 37B50 PDFBibTeX XMLCite \textit{M. Hbaib} et al., Res. Number Theory 10, No. 3, Paper No. 71, 8 p. (2024; Zbl 07899210) Full Text: DOI
Komornik, Vilmos; Steiner, Wolfgang; Zou, Yuru Unique double base expansions. (English) Zbl 07874874 Monatsh. Math. 204, No. 3, 513-542 (2024). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11A67 28A78 11B83 37B10 37B40 PDFBibTeX XMLCite \textit{V. Komornik} et al., Monatsh. Math. 204, No. 3, 513--542 (2024; Zbl 07874874) Full Text: DOI arXiv
Jadrijević, Borka; Miletić, Kristina Characterization of quadratic \(\varepsilon\)-CNS polynomials. (English) Zbl 07865958 J. Number Theory 262, 579-606 (2024). Reviewer: Rusen Li (Xiangtan) MSC: 11A63 11R04 11A67 PDFBibTeX XMLCite \textit{B. Jadrijević} and \textit{K. Miletić}, J. Number Theory 262, 579--606 (2024; Zbl 07865958) Full Text: DOI arXiv
Dekking, F. Michel The structure of base phi expansions. (English) Zbl 07852318 Integers 24, Paper A24, 28 p. (2024). Reviewer: Anton Shutov (Vladimir) MSC: 11A67 11A63 11B39 PDFBibTeX XMLCite \textit{F. M. Dekking}, Integers 24, Paper A24, 28 p. (2024; Zbl 07852318) Full Text: arXiv Link
Arias de Reyna, Juan Complexity of natural numbers. (English) Zbl 1539.11023 Integers 24, Paper A19, 24 p. (2024). MSC: 11A67 68Q15 PDFBibTeX XMLCite \textit{J. Arias de Reyna}, Integers 24, Paper A19, 24 p. (2024; Zbl 1539.11023) Full Text: arXiv Link
Arias de Reyna, Juan Arithmetical self-similar compact sets. (English) Zbl 1539.11022 Integers 24, Paper A21, 22 p. (2024). MSC: 11A67 03E10 PDFBibTeX XMLCite \textit{J. Arias de Reyna}, Integers 24, Paper A21, 22 p. (2024; Zbl 1539.11022) Full Text: Link
Gurin, Nikita Representation of Integral Powers. arXiv:2407.17121 Preprint, arXiv:2407.17121 [math.NT] (2024). MSC: 11A67 90C53 BibTeX Cite \textit{N. Gurin}, ``Representation of Integral Powers'', Preprint, arXiv:2407.17121 [math.NT] (2024) Full Text: arXiv OA License
Macfarlane, A. J. On the structure of the complement \(\overline{\Mfib}\) of the set \(\Mfib\) of fibbinary numbers in the set of positive natural numbers. arXiv:2406.12455 Preprint, arXiv:2406.12455 [math.NT] (2024). MSC: 11A63 11A67 BibTeX Cite \textit{A. J. Macfarlane}, ``On the structure of the complement $\overline{\Mfib}$ of the set $\Mfib$ of fibbinary numbers in the set of positive natural numbers'', Preprint, arXiv:2406.12455 [math.NT] (2024) Full Text: arXiv OA License
Macfarlane, A. J. On the fibbinary numbers and the Wythoffarray. arXiv:2405.18128 Preprint, arXiv:2405.18128 [math.CO] (2024). MSC: 11A67 11B83 BibTeX Cite \textit{A. J. Macfarlane}, ``On the fibbinary numbers and the Wythoffarray'', Preprint, arXiv:2405.18128 [math.CO] (2024) Full Text: arXiv OA License
van Golden, S.; Kalle, C.; Kombrink, S.; Samuel, T. Dimensions of infinitely generated self-affine sets and restricted digit sets for signed Lüroth expansions. arXiv:2404.10749 Preprint, arXiv:2404.10749 [math.DS] (2024). MSC: 28A80 11A67 11K55 BibTeX Cite \textit{S. van Golden} et al., ``Dimensions of infinitely generated self-affine sets and restricted digit sets for signed Lüroth expansions'', Preprint, arXiv:2404.10749 [math.DS] (2024) Full Text: arXiv OA License
Campbell, John M. A binary version of the Mahler-Popken complexity function. arXiv:2403.20073 Preprint, arXiv:2403.20073 [math.NT] (2024). MSC: 11A67 BibTeX Cite \textit{J. M. Campbell}, ``A binary version of the Mahler-Popken complexity function'', Preprint, arXiv:2403.20073 [math.NT] (2024) Full Text: arXiv OA License
Macfarlane, A. J. Pi Formulas: some smooth stones on the beach of rough numbers. arXiv:2402.10589 Preprint, arXiv:2402.10589 [math.NT] (2024). MSC: 11A67 11B50 40C10 40C15 BibTeX Cite \textit{A. J. Macfarlane}, ``Pi Formulas: some smooth stones on the beach of rough numbers'', Preprint, arXiv:2402.10589 [math.NT] (2024) Full Text: arXiv OA License
Naumowicz, Adam Elementary number theory problems. XI. (English) Zbl 1540.68291 Formaliz. Math. 31, No. 1, 229-275 (2023). MSC: 68V20 11A67 11A99 PDFBibTeX XMLCite \textit{A. Naumowicz}, Formaliz. Math. 31, No. 1, 229--275 (2023; Zbl 1540.68291) Full Text: DOI OA License
Giyasi, Azar; Mikhaĭlov, Il’ya Petrovich; Chubarikov, Vladimir Nikolaevich On the sequence of fractional parts of the ratio of Fibonacci numbers \(x_{n+1}=\left\{\frac{F_{n+1}}{F_n}x_n\right\} \). (Russian. English summary) Zbl 1532.11021 Chebyshevskiĭ Sb. 24, No. 3(89), 242-250 (2023). MSC: 11A67 11B39 PDFBibTeX XMLCite \textit{A. Giyasi} et al., Chebyshevskiĭ Sb. 24, No. 3(89), 242--250 (2023; Zbl 1532.11021) Full Text: DOI MNR
Shutov, Anton Vladimirovich On one additive problem connected with expansions on linear recurrrent sequence. (Russian. English summary) Zbl 1532.11029 Chebyshevskiĭ Sb. 24, No. 3(89), 228-241 (2023). MSC: 11B39 11A67 11A63 11L07 11K38 PDFBibTeX XMLCite \textit{A. V. Shutov}, Chebyshevskiĭ Sb. 24, No. 3(89), 228--241 (2023; Zbl 1532.11029) Full Text: DOI MNR
Ghiyasi, Azar Kh.; Mikhaĭlov, Il’ya Petrovich; Chubarikov, Vladimir Nikolaevich On an expansion numbers on Fibonacci’s sequences. (Russian. English summary) Zbl 1532.11026 Chebyshevskiĭ Sb. 24, No. 2(88), 248-255 (2023). MSC: 11B39 11A67 PDFBibTeX XMLCite \textit{A. Kh. Ghiyasi} et al., Chebyshevskiĭ Sb. 24, No. 2(88), 248--255 (2023; Zbl 1532.11026) Full Text: DOI MNR
Mehdi-Nezhad, Elham; Rahimi, Amir M. Some properties of Fibonacci numbers using center of mass. (English) Zbl 1536.11037 Missouri J. Math. Sci. 35, No. 2, 232-241 (2023). Reviewer: Dirk Werner (Berlin) MSC: 11B39 11A67 PDFBibTeX XMLCite \textit{E. Mehdi-Nezhad} and \textit{A. M. Rahimi}, Missouri J. Math. Sci. 35, No. 2, 232--241 (2023; Zbl 1536.11037) Full Text: DOI
Prats’ovytyĭ, M. V.; Vasylenko, N. M.; Goncharenko, Ya. V.; Lysenko, I. M. Two-symbol system of encoding of numbers and discrete distributions of random variables. (Ukrainian. English summary) Zbl 07799302 Bukovyn. Mat. Zh. 11, No. 2, 225-235 (2023). MSC: 60E05 11A67 PDFBibTeX XMLCite \textit{M. V. Prats'ovytyĭ} et al., Bukovyn. Mat. Zh. 11, No. 2, 225--235 (2023; Zbl 07799302) Full Text: DOI
Dantas e Moura, Guilherme Zeus; Keisling, Andrew; Lilly, Astrid; Mauro, Annika; Miller, Steven J.; Phang, Matthew; Velazquez Iannuzzelli, Santiago Recurrence relations for \(S\)-legal index difference sequences. (English) Zbl 1529.11025 Fibonacci Q. 61, No. 3, 257-274 (2023). MSC: 11B39 11A67 PDFBibTeX XMLCite \textit{G. Z. Dantas e Moura} et al., Fibonacci Q. 61, No. 3, 257--274 (2023; Zbl 1529.11025) Full Text: arXiv Link
Adegoke, Kunle; Lafont, Jaume Oliver Golden ratio base expansions of the logarithm and inverse tangent of Fibonacci and Lucas numbers. (English) Zbl 1531.11016 J. Integer Seq. 26, No. 5, Article 23.5.5, 18 p. (2023). MSC: 11B39 11A67 PDFBibTeX XMLCite \textit{K. Adegoke} and \textit{J. O. Lafont}, J. Integer Seq. 26, No. 5, Article 23.5.5, 18 p. (2023; Zbl 1531.11016) Full Text: arXiv Link
El Mrabet, Nadia; Ghammam, Loubna; Meloni, Nicolas; Fouotsa, Emmanuel New versions of Miller-loop secured against side-channel attacks. (English) Zbl 1534.94086 Mesnager, Sihem (ed.) et al., Arithmetic of finite fields. 9th international workshop, WAIFI 2022, Chengdu, China, August 29 – September 2, 2022. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 13638, 269-287 (2023). MSC: 94A60 94A40 11T71 11A67 11B39 PDFBibTeX XMLCite \textit{N. El Mrabet} et al., Lect. Notes Comput. Sci. 13638, 269--287 (2023; Zbl 1534.94086) Full Text: DOI HAL
Charlier, Émilie Alternate base numeration systems. (English) Zbl 1536.11022 Frid, Anna (ed.) et al., Combinatorics on words. 14th international conference, WORDS 2023, Umeå, Sweden, June 12–16, 2023. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 13899, 14-34 (2023). MSC: 11A67 37B45 68Q45 PDFBibTeX XMLCite \textit{É. Charlier}, Lect. Notes Comput. Sci. 13899, 14--34 (2023; Zbl 1536.11022) Full Text: DOI
Robles-Pérez, Aureliano M.; Rosales, José Carlos The extended Frobenius problem for Fibonacci sequences incremented by a Fibonacci number. (English) Zbl 1529.11048 Mediterr. J. Math. 20, No. 4, Paper No. 222, 12 p. (2023). MSC: 11D07 11B39 11A67 05A17 PDFBibTeX XMLCite \textit{A. M. Robles-Pérez} and \textit{J. C. Rosales}, Mediterr. J. Math. 20, No. 4, Paper No. 222, 12 p. (2023; Zbl 1529.11048) Full Text: DOI arXiv OA License
Alecci, Gessica; Murru, Nadir; Sanna, Carlo Zeckendorf representation of multiplicative inverses modulo a Fibonacci number. (English) Zbl 1525.11016 Monatsh. Math. 201, No. 1, 1-9 (2023). MSC: 11B39 11A67 PDFBibTeX XMLCite \textit{G. Alecci} et al., Monatsh. Math. 201, No. 1, 1--9 (2023; Zbl 1525.11016) Full Text: DOI arXiv OA License
Hajnal, P. A short note on Zeckendorf type numeration systems with negative digits allowed. (English) Zbl 1523.11012 Bull. Inst. Comb. Appl. 97, 54-66 (2023). MSC: 11A67 11B39 PDFBibTeX XMLCite \textit{P. Hajnal}, Bull. Inst. Comb. Appl. 97, 54--66 (2023; Zbl 1523.11012) Full Text: Link
Nathanson, Melvyn B. Underapproximation by Egyptian fractions. (English) Zbl 1522.11022 J. Number Theory 242, 208-234 (2023). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11D68 11A67 11D72 11D75 11D85 PDFBibTeX XMLCite \textit{M. B. Nathanson}, J. Number Theory 242, 208--234 (2023; Zbl 1522.11022) Full Text: DOI arXiv
Levaillant, Claire On arithmetical structures on K9. arXiv:2311.03668 Preprint, arXiv:2311.03668 [math.NT] (2023). MSC: 11A67 11B75 11D85 11D72 05C05 05C30 BibTeX Cite \textit{C. Levaillant}, ``On arithmetical structures on K9'', Preprint, arXiv:2311.03668 [math.NT] (2023) Full Text: arXiv OA License
Louwsma, Joel; Martino, Joseph Rational numbers with odd greedy expansion of fixed length. arXiv:2309.07280 Preprint, arXiv:2309.07280 [math.NT] (2023). MSC: 11D68 11A67 11D72 11D85 BibTeX Cite \textit{J. Louwsma} and \textit{J. Martino}, ``Rational numbers with odd greedy expansion of fixed length'', Preprint, arXiv:2309.07280 [math.NT] (2023) Full Text: arXiv OA License
de Reyna, Juan Arias Complexity of natural numbers and arithmetic compact sets. arXiv:2302.06224 Preprint, arXiv:2302.06224 [math.NT] (2023). MSC: 11A67 BibTeX Cite \textit{J. A. de Reyna}, ``Complexity of natural numbers and arithmetic compact sets'', Preprint, arXiv:2302.06224 [math.NT] (2023) Full Text: arXiv OA License
Nowakowski, Piotr Characterization of the algebraic difference of special affine Cantor sets. arXiv:2301.09546 Preprint, arXiv:2301.09546 [math.CA] (2023). MSC: 28A80 05B10 11A67 BibTeX Cite \textit{P. Nowakowski}, ``Characterization of the algebraic difference of special affine Cantor sets'', Preprint, arXiv:2301.09546 [math.CA] (2023) Full Text: arXiv OA License
Prats’iovytyĭ, M. V.; Bondarenko, O. I.; Ratushniak, S. P.; Franchuk, K. V. \(\tilde{Q}\)-representation of real numbers as a generalization of Cantor numeral systems. (Ukrainian. English summary) Zbl 07877835 Mohyla Math. J. 5, 9-18 (2022). MSC: 11K55 11A67 26A30 PDFBibTeX XMLCite \textit{M. V. Prats'iovytyĭ} et al., Mohyla Math. J. 5, 9--18 (2022; Zbl 07877835) Full Text: DOI
Giyasi, Azar K.; Mikhaĭlov, Il’ya Petrovich; Chubarikov, Vladimir Nikolaevich On an expansion real numbers on some sequences. (Russian. English summary) Zbl 1523.11011 Chebyshevskiĭ Sb. 23, No. 3(84), 50-60 (2022). MSC: 11A67 PDFBibTeX XMLCite \textit{A. K. Giyasi} et al., Chebyshevskiĭ Sb. 23, No. 3(84), 50--60 (2022; Zbl 1523.11011) Full Text: DOI MNR
Martinez, Thomas C.; Miller, Steven J.; Mizgerd, Clayton; Murphy, Jack; Sun, Chenyang Generalizing Zeckendorf’s theorem to homogeneous linear recurrences. II. (English) Zbl 1520.11011 Fibonacci Q. 60, No. 5, Spec. Iss., 231-254 (2022). MSC: 11A67 11B39 PDFBibTeX XMLCite \textit{T. C. Martinez} et al., Fibonacci Q. 60, No. 5, 231--254 (2022; Zbl 1520.11011) Full Text: arXiv Link
Martinez, Thomas C.; Miller, Steven J.; Mizgerd, Clayton; Sun, Chenyang Generalizing Zeckendorf’s theorem to homogeneous linear recurrences. I. (English) Zbl 1517.11005 Fibonacci Q. 60, No. 5, Spec. Iss., 222-230 (2022). MSC: 11A67 11B39 PDFBibTeX XMLCite \textit{T. C. Martinez} et al., Fibonacci Q. 60, No. 5, 222--230 (2022; Zbl 1517.11005) Full Text: arXiv Link
Baily, Benjamin; Dell, Justine; Durmić, Irfan; Fleischmann, Henry L.; Jackson, Faye; Mijares, Isaac; Miller, Steven J.; Pesikoff, Ethan; Reifenberg, Luke; Smith Reina, Alicia; Yang, Yingzi The Bergman game. (English) Zbl 1518.91030 Fibonacci Q. 60, No. 5, Spec. Iss., 18-38 (2022). MSC: 91A46 91A05 11A67 11B39 PDFBibTeX XMLCite \textit{B. Baily} et al., Fibonacci Q. 60, No. 5, 18--38 (2022; Zbl 1518.91030) Full Text: Link
Saba, N.; Boussayoud, A. Gaussian \((p, q)\)-Jacobsthal and Gaussian \((p, q)\)-Jacobsthal Lucas numbers and their some interesting properties. (English) Zbl 1508.11028 J. Math. Phys. 63, No. 11, Article ID 112704, 17 p. (2022). MSC: 11B39 05E05 05A15 05A19 11A67 PDFBibTeX XMLCite \textit{N. Saba} and \textit{A. Boussayoud}, J. Math. Phys. 63, No. 11, Article ID 112704, 17 p. (2022; Zbl 1508.11028) Full Text: DOI
Bell, Greg; Lawson, Austin; Pritchard, C. Neil; Yasaki, Dan An exploration of Nathanson’s \(g\)-adic representations of integers. (English) Zbl 1521.11009 Involve 15, No. 5, 727-738 (2022). MSC: 11B13 11A67 11P81 20F65 PDFBibTeX XMLCite \textit{G. Bell} et al., Involve 15, No. 5, 727--738 (2022; Zbl 1521.11009) Full Text: DOI arXiv
Ingebretson, Daniel The Hausdorff and packing measure of some digital expansions. (English) Zbl 1514.11012 Acta Arith. 206, No. 4, 339-352 (2022). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11A67 28A78 PDFBibTeX XMLCite \textit{D. Ingebretson}, Acta Arith. 206, No. 4, 339--352 (2022; Zbl 1514.11012) Full Text: DOI arXiv
Prats’ovytyĭ, M. V.; Drozdenko, V. O.; Lysenko, I. M.; Maslova, Yu. P. Inversor of digits of two-base \(G\)-representation of real numbers and its structural fractality. (Ukrainian. English summary) Zbl 1524.11017 Bukovyn. Mat. Zh. 10, No. 1, 100-109 (2022). MSC: 11A67 26A46 26A21 26A30 PDFBibTeX XMLCite \textit{M. V. Prats'ovytyĭ} et al., Bukovyn. Mat. Zh. 10, No. 1, 100--109 (2022; Zbl 1524.11017) Full Text: DOI OA License
Barcucci, Elena; Bernini, Antonio; Pinzani, Renzo Strings from linear recurrences and permutations: a Gray code. (English) Zbl 1540.68204 Theor. Comput. Sci. 938, 112-120 (2022). MSC: 68R15 05A05 11A67 11B37 11B39 PDFBibTeX XMLCite \textit{E. Barcucci} et al., Theor. Comput. Sci. 938, 112--120 (2022; Zbl 1540.68204) Full Text: DOI arXiv
Bai, James Haoyu; Meleshko, Joseph; Riasat, Samin; Shallit, Jeffrey Quotients of palindromic and antipalindromic numbers. (English) Zbl 1507.11007 Integers 22, Paper A96, 33 p. (2022). Reviewer: Thomas Stoll (Vandœuvre-lès Nancy) MSC: 11A63 11A67 11B05 PDFBibTeX XMLCite \textit{J. H. Bai} et al., Integers 22, Paper A96, 33 p. (2022; Zbl 1507.11007) Full Text: arXiv Link
Ding, Yuchen A counterexample of two Romanov type conjectures. (English) Zbl 1504.11106 C. R., Math., Acad. Sci. Paris 360, 1183-1185 (2022). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11P32 11A41 11A67 PDFBibTeX XMLCite \textit{Y. Ding}, C. R., Math., Acad. Sci. Paris 360, 1183--1185 (2022; Zbl 1504.11106) Full Text: DOI arXiv OA License
Chen, Yong-Gao; Ding, Yuchen On a conjecture of Erdős. (English) Zbl 1504.11105 C. R., Math., Acad. Sci. Paris 360, 971-974 (2022). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11P32 11A41 11A67 PDFBibTeX XMLCite \textit{Y.-G. Chen} and \textit{Y. Ding}, C. R., Math., Acad. Sci. Paris 360, 971--974 (2022; Zbl 1504.11105) Full Text: DOI arXiv OA License
Campbell, H. E. A.; Wehlau, D. L. Zigzag sequences and representations of integers. (English) Zbl 1503.11014 Fibonacci Q. 60, No. 3, 220-225 (2022). MSC: 11A67 11B39 PDFBibTeX XMLCite \textit{H. E. A. Campbell} and \textit{D. L. Wehlau}, Fibonacci Q. 60, No. 3, 220--225 (2022; Zbl 1503.11014) Full Text: Link
Chu, Hùng Việt; Luo, David C.; Miller, Steven J. On Zeckendorf related partitions using the Lucas sequence. (English) Zbl 1505.11026 Fibonacci Q. 60, No. 2, 111-119 (2022). Reviewer: Sungkon Chang (Savannah) MSC: 11B39 11A67 PDFBibTeX XMLCite \textit{H. V. Chu} et al., Fibonacci Q. 60, No. 2, 111--119 (2022; Zbl 1505.11026) Full Text: arXiv Link
Charlier, Émilie; Cisternino, Célia; Stipulanti, Manon A full characterization of Bertrand numeration systems. (English) Zbl 1535.11014 Diekert, Volker (ed.) et al., Developments in language theory. 26th international conference, DLT 2022, Tampa, FL, USA, May 9–13, 2022. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 13257, 102-114 (2022). MSC: 11A67 68Q45 PDFBibTeX XMLCite \textit{É. Charlier} et al., Lect. Notes Comput. Sci. 13257, 102--114 (2022; Zbl 1535.11014) Full Text: DOI arXiv Link
Baker Swart, Breeanne; Crook, Susan; Grundman, Helen G.; Hall-Seelig, Laura L. Gaussian happy numbers. (English) Zbl 1502.11009 Rocky Mt. J. Math. 52, No. 2, 415-429 (2022). MSC: 11A63 11A67 PDFBibTeX XMLCite \textit{B. Baker Swart} et al., Rocky Mt. J. Math. 52, No. 2, 415--429 (2022; Zbl 1502.11009) Full Text: DOI arXiv Link
Cusenza, Anna; Dunkelberg, Aidan; Huffman, Kate; Ke, Dianhui; McClatchey, Micah; Miller, Steven J.; Mizgerd, Clayton; Tiwari, Vashisth; Ye, Jingkai; Zheng, Xiaoyan Bounds on Zeckendorf games. (English) Zbl 1497.91062 Fibonacci Q. 60, No. 1, 57-71 (2022). MSC: 91A46 91A05 11A67 11B39 PDFBibTeX XMLCite \textit{A. Cusenza} et al., Fibonacci Q. 60, No. 1, 57--71 (2022; Zbl 1497.91062) Full Text: arXiv Link
Hoit, Abigail An asymptotic upper bound for counting Fiven numbers. (English) Zbl 1497.11021 Fibonacci Q. 60, No. 1, 52-56 (2022). MSC: 11A63 11A67 PDFBibTeX XMLCite \textit{A. Hoit}, Fibonacci Q. 60, No. 1, 52--56 (2022; Zbl 1497.11021) Full Text: Link
Amri, Myriam; Spiegelhofer, Lukas; Thuswaldner, Jörg Joint distribution in residue classes of the sum of digits for two Ostrowski representations. (Répartition jointe dans les classes de résidus de la somme des chiffres pour deux représentations d’Ostrowski.) (French. English summary) Zbl 1502.11013 Int. J. Number Theory 18, No. 5, 955-976 (2022). MSC: 11A67 11J71 PDFBibTeX XMLCite \textit{M. Amri} et al., Int. J. Number Theory 18, No. 5, 955--976 (2022; Zbl 1502.11013) Full Text: DOI
Zdanowski, Konrad On efficiency of notations for natural numbers. (English) Zbl 1535.68109 Theor. Comput. Sci. 915, 1-10 (2022). MSC: 68Q15 11A67 68Q25 PDFBibTeX XMLCite \textit{K. Zdanowski}, Theor. Comput. Sci. 915, 1--10 (2022; Zbl 1535.68109) Full Text: DOI
Gryszka, Karol How to compare power towers? (English) Zbl 1503.11015 Lith. Math. J. 62, No. 2, 192-206 (2022). MSC: 11A67 26A18 PDFBibTeX XMLCite \textit{K. Gryszka}, Lith. Math. J. 62, No. 2, 192--206 (2022; Zbl 1503.11015) Full Text: DOI
Leonardis, Antonino; d’Atri, Gianfranco; Caldarola, Fabio Beyond Knuth’s notation for unimaginable numbers within computational number theory. (English) Zbl 1484.11234 Int. Electron. J. Algebra 31, 55-73 (2022). MSC: 11Y99 11A67 11U99 PDFBibTeX XMLCite \textit{A. Leonardis} et al., Int. Electron. J. Algebra 31, 55--73 (2022; Zbl 1484.11234) Full Text: DOI OA License
Neidmann, Dana Directed graphs from exact covering systems. (English) Zbl 1491.11008 J. Integer Seq. 25, No. 2, Article 22.2.4, 17 p. (2022). Reviewer: Armen Bagdasaryan (Madīnat al-Kuwait) MSC: 11A07 05C20 05C63 11A63 11A67 PDFBibTeX XMLCite \textit{D. Neidmann}, J. Integer Seq. 25, No. 2, Article 22.2.4, 17 p. (2022; Zbl 1491.11008) Full Text: arXiv Link
Rigo, Michel; Stipulanti, Manon Revisiting regular sequences in light of rational base numeration systems. (English) Zbl 07456594 Discrete Math. 345, No. 3, Article ID 112735, 23 p. (2022). Reviewer: Wolfgang Steiner (Paris) MSC: 68R15 11A67 11B85 68Q45 PDFBibTeX XMLCite \textit{M. Rigo} and \textit{M. Stipulanti}, Discrete Math. 345, No. 3, Article ID 112735, 23 p. (2022; Zbl 07456594) Full Text: DOI arXiv
Sosnovski, Bianca Semi-primitive roots and the discrete logarithm module \(2^k\). arXiv:2211.09163 Preprint, arXiv:2211.09163 [math.NT] (2022). MSC: 11A07 11A63 11A67 BibTeX Cite \textit{B. Sosnovski}, ``Semi-primitive roots and the discrete logarithm module $2^k$'', Preprint, arXiv:2211.09163 [math.NT] (2022) Full Text: arXiv OA License
Chase, Zachary; Pandey, Mayank On the length of Pierce expansions. arXiv:2211.08374 Preprint, arXiv:2211.08374 [math.NT] (2022). MSC: 11A67 BibTeX Cite \textit{Z. Chase} and \textit{M. Pandey}, ``On the length of Pierce expansions'', Preprint, arXiv:2211.08374 [math.NT] (2022) Full Text: arXiv OA License
Robles-Pérez, Aureliano M.; Rosales, José Carlos The extended Frobenius problem for Lucas series incremented by a Lucas number. arXiv:2211.01436 Preprint, arXiv:2211.01436 [math.NT] (2022). MSC: 11D07 11B39 11A67 05A17 BibTeX Cite \textit{A. M. Robles-Pérez} and \textit{J. C. Rosales}, ``The extended Frobenius problem for Lucas series incremented by a Lucas number'', Preprint, arXiv:2211.01436 [math.NT] (2022) Full Text: arXiv OA License
Aleshkevich, Natalia Perfect cuboid, primitive Pythagorean triples and Eulerian parallelepipeds. Dynamics of construction. arXiv:2203.01149 Preprint, arXiv:2203.01149 [math.NT] (2022). MSC: 11A67 BibTeX Cite \textit{N. Aleshkevich}, ``Perfect cuboid, primitive Pythagorean triples and Eulerian parallelepipeds. Dynamics of construction'', Preprint, arXiv:2203.01149 [math.NT] (2022) Full Text: arXiv OA License
Gjaldbæk, Kåre S. Non-injectivity of nonzero discriminant polynomials and applications to packing polynomials. (English) Zbl 1512.11034 Nathanson, Melvyn B. (ed.), Combinatorial and additive number theory IV. Selected papers based on the presentations at the CANT 2019 and 2020 workshops, New York, NY, USA, May 21–24, 2019 and virtual, June 1–5, 2020. Cham: Springer. Springer Proc. Math. Stat. 347, 195-201 (2021). Reviewer: Balasubramanian Sury (Bangalore) MSC: 11C08 11A67 PDFBibTeX XMLCite \textit{K. S. Gjaldbæk}, Springer Proc. Math. Stat. 347, 195--201 (2021; Zbl 1512.11034) Full Text: DOI arXiv
Reisner, Adrien Beatty’s theorem and the Fibonacci word. (Le théorème de Beatty et le mot de Fibonacci.) (French) Zbl 1500.11011 Quadrature 121, 31-36 (2021). Reviewer: Wolfgang Steiner (Paris) MSC: 11A67 11B83 PDFBibTeX XMLCite \textit{A. Reisner}, Quadrature 121, 31--36 (2021; Zbl 1500.11011)
Xie, Pith Peishu Numerical computations for operator axioms. (English) Zbl 1527.65033 AIMS Math. 6, No. 4, 4011-4024 (2021). MSC: 65H05 11A67 PDFBibTeX XMLCite \textit{P. P. Xie}, AIMS Math. 6, No. 4, 4011--4024 (2021; Zbl 1527.65033) Full Text: DOI arXiv OA License
Gilson, Amelia; Killen, Hadley; Lengyel, Tamás; Miller, Steven J.; Razek, Nadia; Siktar, Joshua M.; Sulkin, Liza Zeckendorf’s theorem using indices in an arithmetic progression. (English) Zbl 1503.11028 Fibonacci Q. 59, No. 4, 327-337 (2021). MSC: 11B39 11A67 PDFBibTeX XMLCite \textit{A. Gilson} et al., Fibonacci Q. 59, No. 4, 327--337 (2021; Zbl 1503.11028) Full Text: arXiv Link
Chu, Hùng Việt On generalized Zeckendorf decompositions and generalized golden strings. (English) Zbl 1503.11025 Fibonacci Q. 59, No. 3, 254-261 (2021). MSC: 11B39 11A67 PDFBibTeX XMLCite \textit{H. V. Chu}, Fibonacci Q. 59, No. 3, 254--261 (2021; Zbl 1503.11025) Full Text: arXiv Link
Elizeche, Edgar Federico; Tripathi, Amitabha A note on integers that are uniquely expressible by integral geometric sequences. (English) Zbl 1490.11015 Integers 21, Paper A123, 3 p. (2021). MSC: 11A67 11D85 PDFBibTeX XMLCite \textit{E. F. Elizeche} and \textit{A. Tripathi}, Integers 21, Paper A123, 3 p. (2021; Zbl 1490.11015) Full Text: Link
Janthawee, Mayurachat; Kanasri, Narakorn Rompurk SEL Egyptian fraction expansion and characterizations of rational numbers. (English) Zbl 1484.11074 J. Discrete Math. Sci. Cryptography 24, No. 1, 277-298 (2021). MSC: 11B68 11A67 PDFBibTeX XMLCite \textit{M. Janthawee} and \textit{N. R. Kanasri}, J. Discrete Math. Sci. Cryptography 24, No. 1, 277--298 (2021; Zbl 1484.11074) Full Text: DOI
De Koninck, Jean-Marie; Kátai, Imre On an open question regarding generalized number systems in Euclidean spaces. (English) Zbl 1488.11021 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 52, 93-96 (2021). MSC: 11A67 PDFBibTeX XMLCite \textit{J.-M. De Koninck} and \textit{I. Kátai}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 52, 93--96 (2021; Zbl 1488.11021) Full Text: Link
Durand, Fabien; Rigo, Michel On Cobham’s theorem. (English) Zbl 07425662 Pin, Jean-Éric (ed.), Handbook of automata theory. Volume II. Automata in mathematics and selected applications. Berlin: European Mathematical Society (EMS). 947-986 (2021). Reviewer: Jeffrey Shallit (Waterloo) MSC: 68Q45 11A67 11B85 11U05 37B20 68R15 PDFBibTeX XMLCite \textit{F. Durand} and \textit{M. Rigo}, in: Handbook of automata theory. Volume II. Automata in mathematics and selected applications. Berlin: European Mathematical Society (EMS). 947--986 (2021; Zbl 07425662) Full Text: DOI
Dutykh, Denys; Verger-Gaugry, Jean-Louis Alphabets, rewriting trails and periodic representations in algebraic bases. (English) Zbl 1483.11015 Res. Number Theory 7, No. 4, Paper No. 64, 18 p. (2021). Reviewer: Jean-Paul Allouche (Paris) MSC: 11A63 11A67 11B83 11K16 11R04 11R06 PDFBibTeX XMLCite \textit{D. Dutykh} and \textit{J.-L. Verger-Gaugry}, Res. Number Theory 7, No. 4, Paper No. 64, 18 p. (2021; Zbl 1483.11015) Full Text: DOI arXiv HAL
Aguilera, Juan P.; Freund, Anton; Rathjen, Michael; Weiermann, Andreas Ackermann and Goodstein go functorial. (English) Zbl 07410999 Pac. J. Math. 313, No. 2, 251-291 (2021). MSC: 03B30 03F15 03F40 11A67 PDFBibTeX XMLCite \textit{J. P. Aguilera} et al., Pac. J. Math. 313, No. 2, 251--291 (2021; Zbl 07410999) Full Text: DOI arXiv Link
Zhukova, Alla Adol’fovna; Shutov, Anton Vladimirovich On Gelfond-type problem for generalized Zeckendorf representations. (Russian. English summary) Zbl 1482.11017 Chebyshevskiĭ Sb. 22, No. 2(78), 104-120 (2021). Reviewer: Alexey Ustinov (Khabarovsk) MSC: 11A63 11B39 11A67 PDFBibTeX XMLCite \textit{A. A. Zhukova} and \textit{A. V. Shutov}, Chebyshevskiĭ Sb. 22, No. 2(78), 104--120 (2021; Zbl 1482.11017) Full Text: MNR
Sánchez Garza, Maximiliano; Treviño, Enrique On a sequence related to the factoradic representation of an integer. (English) Zbl 1479.11049 J. Integer Seq. 24, No. 8, Article 21.8.5, 13 p. (2021). MSC: 11B83 11N37 11A67 11B68 PDFBibTeX XMLCite \textit{M. Sánchez Garza} and \textit{E. Treviño}, J. Integer Seq. 24, No. 8, Article 21.8.5, 13 p. (2021; Zbl 1479.11049) Full Text: Link
Howe, Everett W.; Kedlaya, Kiran S. Every positive integer is the order of an ordinary abelian variety over \(\mathbb{F}_2\). (English) Zbl 1496.11088 Res. Number Theory 7, No. 4, Paper No. 59, 6 p. (2021). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11G10 14G15 11A67 14K15 PDFBibTeX XMLCite \textit{E. W. Howe} and \textit{K. S. Kedlaya}, Res. Number Theory 7, No. 4, Paper No. 59, 6 p. (2021; Zbl 1496.11088) Full Text: DOI arXiv OA License
Drmota, Michael; Verwee, Johann Effective Erdős-Wintner theorems for digital expansions. (English) Zbl 1479.11170 J. Number Theory 229, 218-260 (2021). Reviewer: Takao Komatsu (Hangzhou) MSC: 11N60 11A67 11K55 PDFBibTeX XMLCite \textit{M. Drmota} and \textit{J. Verwee}, J. Number Theory 229, 218--260 (2021; Zbl 1479.11170) Full Text: DOI arXiv
Edgar, Tom Visual triangular number identities from positional number systems. (English) Zbl 1473.97004 Coll. Math. J. 52, No. 2, 133-136 (2021). MSC: 97F60 11A63 11A67 PDFBibTeX XMLCite \textit{T. Edgar}, Coll. Math. J. 52, No. 2, 133--136 (2021; Zbl 1473.97004) Full Text: DOI
Chang, Sungkon The weak converse of Zeckendorf’s theorem. (English) Zbl 1484.11024 Res. Number Theory 7, No. 3, Paper No. 48, 39 p. (2021). MSC: 11A67 11B39 PDFBibTeX XMLCite \textit{S. Chang}, Res. Number Theory 7, No. 3, Paper No. 48, 39 p. (2021; Zbl 1484.11024) Full Text: DOI arXiv
Masáková, Zuzana; Vandomme, Élise Redundance in the signed \(m\)-bonacci numeration system. (English) Zbl 1484.11025 J. Integer Seq. 24, No. 7, Article 21.7.2, 13 p. (2021). MSC: 11A67 11B39 PDFBibTeX XMLCite \textit{Z. Masáková} and \textit{É. Vandomme}, J. Integer Seq. 24, No. 7, Article 21.7.2, 13 p. (2021; Zbl 1484.11025) Full Text: Link
Charlier, Émilie; Cisternino, Célia; Stipulanti, Manon Robustness of Pisot-regular sequences. (English) Zbl 1506.11016 Adv. Appl. Math. 125, Article ID 102151, 22 p. (2021). MSC: 11A67 11B85 68Q70 PDFBibTeX XMLCite \textit{É. Charlier} et al., Adv. Appl. Math. 125, Article ID 102151, 22 p. (2021; Zbl 1506.11016) Full Text: DOI arXiv
Dekking, F. Michel The sum of digits functions of the Zeckendorf and the base phi expansions. (English) Zbl 1502.11014 Theor. Comput. Sci. 859, 70-79 (2021). MSC: 11A67 11B39 68R15 PDFBibTeX XMLCite \textit{F. M. Dekking}, Theor. Comput. Sci. 859, 70--79 (2021; Zbl 1502.11014) Full Text: DOI arXiv OA License
Altman, Harry; de Reyna, Juan Arias Integer complexity: Stability and self-similarity. arXiv:2111.00671 Preprint, arXiv:2111.00671 [math.NT] (2021). MSC: 11A67 BibTeX Cite \textit{H. Altman} and \textit{J. A. de Reyna}, ``Integer complexity: Stability and self-similarity'', Preprint, arXiv:2111.00671 [math.NT] (2021) Full Text: arXiv OA License
Brandt, Madeline; Gjaldbæk, Kåre Schou Classification of Quadratic Packing Polynomials on Sectors of \(\mathbb{R}^2\). arXiv:2102.13578 Preprint, arXiv:2102.13578 [math.NT] (2021). MSC: 11C08 11A67 11B34 05A15 BibTeX Cite \textit{M. Brandt} and \textit{K. S. Gjaldbæk}, ``Classification of Quadratic Packing Polynomials on Sectors of $\mathbb{R}^2$'', Preprint, arXiv:2102.13578 [math.NT] (2021) Full Text: arXiv OA License
Aleshkevich, Natalia Constructive representation of primitive Pythagorean triples. arXiv:2108.06799 Preprint, arXiv:2108.06799 [math.NT] (2021). MSC: 11A67 BibTeX Cite \textit{N. Aleshkevich}, ``Constructive representation of primitive Pythagorean triples'', Preprint, arXiv:2108.06799 [math.NT] (2021) Full Text: arXiv OA License
Idziaszek, Tomasz Efficient algorithm for multiplication of numbers in Zeckendorf representation. (English) Zbl 1523.11013 Farach-Colton, Martin (ed.) et al., 10th international conference on fun with algorithms. FUN 2021, May 30 – June 1, 2021, Favignana Island, Sicily, Italy. Proceedings. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 157, Article 16, 9 p. (2020). MSC: 11A67 11Y16 11B39 68W40 PDFBibTeX XMLCite \textit{T. Idziaszek}, LIPIcs -- Leibniz Int. Proc. Inform. 157, Article 16, 9 p. (2020; Zbl 1523.11013) Full Text: DOI
Chu, Hùng Việt; Chu, Lân Khánh A twist of a Ramanujan identity. (English) Zbl 1468.11024 Fibonacci Q. 58, No. 4, 351-355 (2020). MSC: 11A67 11E25 PDFBibTeX XMLCite \textit{H. V. Chu} and \textit{L. K. Chu}, Fibonacci Q. 58, No. 4, 351--355 (2020; Zbl 1468.11024) Full Text: arXiv Link
Shutov, Anton On the sum of digits of the Zeckendorf representations of two consecutive numbers. (English) Zbl 1468.11025 Fibonacci Q. 58, No. 3, 203-207 (2020). MSC: 11A67 11B39 PDFBibTeX XMLCite \textit{A. Shutov}, Fibonacci Q. 58, No. 3, 203--207 (2020; Zbl 1468.11025) Full Text: Link
Li, Ruoci; Li, Xiaonan; Miller, Steven J.; Mizgerd, Clayton; Sun, Chenyang; Xia, Dong; Zhou, Zhyi Deterministic Zeckendorf games. (English) Zbl 1466.91063 Fibonacci Q. 58, No. 5, 152-160 (2020). MSC: 91A46 91A05 11A67 11B39 PDFBibTeX XMLCite \textit{R. Li} et al., Fibonacci Q. 58, No. 5, 152--160 (2020; Zbl 1466.91063) Full Text: arXiv Link
Bołdyriew, Elżbieta; Haviland, John; Lâm, Phúc; Lentfer, John; Miller, Steven J.; Trejos Suárez, Fernando An introduction to completeness of positive linear recurrence sequences. (English) Zbl 1465.11054 Fibonacci Q. 58, No. 5, 77-90 (2020). MSC: 11B39 05A19 11A67 PDFBibTeX XMLCite \textit{E. Bołdyriew} et al., Fibonacci Q. 58, No. 5, 77--90 (2020; Zbl 1465.11054) Full Text: arXiv Link
Bołdyriew, Elżbieta; Cusenza, Anna; Dai, Linglong; Ding, Pei; Dunkelberg, Aidan; Haviland, John; Huffman, Kate; Ke, Dianhui; Kleber, Daniel; Kuretski, Jason; Lentfer, John; Luo, Tianhao; Miller, Steven J.; Mizgerd, Clayton; Tiwari, Vashisth; Ye, Jingkai; Zhang, Yunhao; Zheng, Xiaoyan; Zhu, Weiduo Extending Zeckendorf’s theorem to a non-constant recurrence and the Zeckendorf game on this non-constant recurrence relation. (English) Zbl 1465.11053 Fibonacci Q. 58, No. 5, 55-76 (2020). MSC: 11B39 11A67 91A46 PDFBibTeX XMLCite \textit{E. Bołdyriew} et al., Fibonacci Q. 58, No. 5, 55--76 (2020; Zbl 1465.11053) Full Text: arXiv Link
Bonuccelli, Gabriel; Colucci, Lucas; de Faria, Edson On the Erdős-Sloane and shifted Sloane persistence problems. (English) Zbl 1454.11017 J. Integer Seq. 23, No. 10, Article 20.10.7, 30 p. (2020). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11A63 11A67 PDFBibTeX XMLCite \textit{G. Bonuccelli} et al., J. Integer Seq. 23, No. 10, Article 20.10.7, 30 p. (2020; Zbl 1454.11017) Full Text: arXiv Link
Pratsiovytyi, M. V.; Lysenko, I. M.; Maslova, Yu. P. Group of continuous transformations of real interval preserving tails of \(G_2\)-representation of numbers. (English) Zbl 1445.11007 Algebra Discrete Math. 29, No. 1, 99-108 (2020). MSC: 11A67 26A15 37A44 PDFBibTeX XMLCite \textit{M. V. Pratsiovytyi} et al., Algebra Discrete Math. 29, No. 1, 99--108 (2020; Zbl 1445.11007) Full Text: Link
Aslan, Selahattin; Bekar, Murat; Yaylı, Yusuf Hyper-dual split quaternions and rigid body motion. (English) Zbl 1444.11022 J. Geom. Phys. 158, Article ID 103876, 12 p. (2020). MSC: 11A67 53A35 70B10 70E15 51B20 PDFBibTeX XMLCite \textit{S. Aslan} et al., J. Geom. Phys. 158, Article ID 103876, 12 p. (2020; Zbl 1444.11022) Full Text: DOI
Song, Kyunghwan The Frobenius problem for numerical semigroups generated by the Thabit numbers of the first, second kind base \(b\) and the Cunningham numbers. (English) Zbl 1459.11081 Bull. Korean Math. Soc. 57, No. 3, 623-647 (2020). MSC: 11D07 11A67 20M14 PDFBibTeX XMLCite \textit{K. Song}, Bull. Korean Math. Soc. 57, No. 3, 623--647 (2020; Zbl 1459.11081) Full Text: DOI
Ball, Tyler; Beckford, Joanne; Dalenberg, Paul; Edgar, Tom; Rajabi, Tina Some combinatorics of factorial base representations. (English) Zbl 1446.11013 J. Integer Seq. 23, No. 3, Article 20.3.3, 29 p. (2020). Reviewer: Enzo Bonacci (Latina) MSC: 11A67 11B83 11Y55 05A10 06A06 05A17 PDFBibTeX XMLCite \textit{T. Ball} et al., J. Integer Seq. 23, No. 3, Article 20.3.3, 29 p. (2020; Zbl 1446.11013) Full Text: Link
Borodin, Matvey; Han, Hannah; Ji, Kaylee; Peng, Alexander; Sun, David; Tu, Isabel; Yang, Jason; Yang, William; Zhang, Kevin; Zhao, Kevin; Khovanova, Tanya Variants of base 3 over 2. (English) Zbl 1455.11021 J. Integer Seq. 23, No. 2, Article 20.2.7, 13 p. (2020). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11A67 11B83 PDFBibTeX XMLCite \textit{M. Borodin} et al., J. Integer Seq. 23, No. 2, Article 20.2.7, 13 p. (2020; Zbl 1455.11021) Full Text: arXiv Link
Chu, Hùng Việt On a curious identity of Ramanujan. (English) Zbl 1455.11022 J. Integer Seq. 23, No. 2, Article 20.2.4, 11 p. (2020). Reviewer: Amin Witno (Amman) MSC: 11A67 11E25 PDFBibTeX XMLCite \textit{H. V. Chu}, J. Integer Seq. 23, No. 2, Article 20.2.4, 11 p. (2020; Zbl 1455.11022) Full Text: arXiv Link
Quackenbush, Blaine; Samuel, Tony; West, Matthew A. Periodic intermediate \(\beta\)-expansions of Pisot numbers. arXiv:2004.13386 Preprint, arXiv:2004.13386 [math.DS] (2020). MSC: 37E05 37B10 11A67 11R06 BibTeX Cite \textit{B. Quackenbush} et al., ``Periodic intermediate $\beta$-expansions of Pisot numbers'', Preprint, arXiv:2004.13386 [math.DS] (2020) Full Text: arXiv OA License
Makarchuk, O. P.; Sal’nyk, K. S. Lebesgue properties of the distribution of the random variable presented by \(s\)-fraction with an excessive set of digits. (Ukrainian. English summary) Zbl 1463.11128 Zb. Pr. Inst. Mat. NAN Ukr. 16, No. 3, 36-54 (2019). MSC: 11K55 11A67 28A80 26A30 PDFBibTeX XMLCite \textit{O. P. Makarchuk} and \textit{K. S. Sal'nyk}, Zb. Pr. Inst. Mat. NAN Ukr. 16, No. 3, 36--54 (2019; Zbl 1463.11128) Full Text: Link
Prats’ovytyĭ, M. V.; Karvats’kyĭ, D. M. Properties of a set of incomplete sums of a series whose terms are elements of Fibonacci generalized sequence. (Ukrainian. English summary) Zbl 1463.11043 Zb. Pr. Inst. Mat. NAN Ukr. 16, No. 3, 7-18 (2019). MSC: 11B39 11A67 11K55 PDFBibTeX XMLCite \textit{M. V. Prats'ovytyĭ} and \textit{D. M. Karvats'kyĭ}, Zb. Pr. Inst. Mat. NAN Ukr. 16, No. 3, 7--18 (2019; Zbl 1463.11043)
Markitan, V. P. Singular monotone functions, which are determined by convergent series and double stochastic matrix. (Ukrainian. English summary) Zbl 1463.11129 Zb. Pr. Inst. Mat. NAN Ukr. 16, No. 2, 101-120 (2019). MSC: 11K55 11A67 26A21 PDFBibTeX XMLCite \textit{V. P. Markitan}, Zb. Pr. Inst. Mat. NAN Ukr. 16, No. 2, 101--120 (2019; Zbl 1463.11129) Full Text: Link
Lysenko, I. M.; Maslova, Yu. P.; Prats’ovytyĭ, M. V. Numeral system with two bases having different signs and related special functions. (Ukrainian. English summary) Zbl 1474.11030 Zb. Pr. Inst. Mat. NAN Ukr. 16, No. 2, 50-62 (2019). MSC: 11A67 26A21 11K55 PDFBibTeX XMLCite \textit{I. M. Lysenko} et al., Zb. Pr. Inst. Mat. NAN Ukr. 16, No. 2, 50--62 (2019; Zbl 1474.11030) Full Text: Link