Shallit, Jeffrey Rarefied Thue-Morse sums via automata theory and logic. (English) Zbl 07786318 J. Number Theory 257, 98-111 (2024). Reviewer: Michel Rigo (Liège) MSC: 11B85 11A63 PDFBibTeX XMLCite \textit{J. Shallit}, J. Number Theory 257, 98--111 (2024; Zbl 07786318) Full Text: DOI arXiv
Shubin, Andrei Möbius orthogonality of the Thue-Morse sequence along Piatetski-Shapiro numbers. (English) Zbl 07791442 Stud. Math. 273, No. 3, 201-238 (2023). MSC: 11B50 11L07 PDFBibTeX XMLCite \textit{A. Shubin}, Stud. Math. 273, No. 3, 201--238 (2023; Zbl 07791442) Full Text: DOI arXiv
Bennett, Michael A.; Siksek, Samir Differences between perfect powers: prime power gaps. (English) Zbl 07783166 Algebra Number Theory 17, No. 10, 1789-1846 (2023). MSC: 11D61 11D41 11F80 PDFBibTeX XMLCite \textit{M. A. Bennett} and \textit{S. Siksek}, Algebra Number Theory 17, No. 10, 1789--1846 (2023; Zbl 07783166) Full Text: DOI arXiv
Ghadermarzi, Amir Multiples of integral points on Mordell curves. (English) Zbl 07771587 Acta Arith. 211, No. 2, 121-159 (2023). Reviewer: Sajad Salami (Rio de Janeiro) MSC: 11G05 PDFBibTeX XMLCite \textit{A. Ghadermarzi}, Acta Arith. 211, No. 2, 121--159 (2023; Zbl 07771587) Full Text: DOI arXiv
Ong, Darren C. Abstract art generated by Thue-Morse autocorrelation functions. (English) Zbl 1515.00021 Bull. Malays. Math. Sci. Soc. (2) 46, No. 5, Paper No. 153, 11 p. (2023). MSC: 00A66 52C23 68R15 78A45 PDFBibTeX XMLCite \textit{D. C. Ong}, Bull. Malays. Math. Sci. Soc. (2) 46, No. 5, Paper No. 153, 11 p. (2023; Zbl 1515.00021) Full Text: DOI arXiv
Liu, Qinghui; Tang, Zhiyi The Hausdorff dimension of the spectrum of a class of generalized Thue-Morse Hamiltonians. (English) Zbl 1524.28007 Acta Math. Sci., Ser. B, Engl. Ed. 43, No. 5, 1997-2004 (2023). MSC: 28A78 47B80 81Q10 PDFBibTeX XMLCite \textit{Q. Liu} and \textit{Z. Tang}, Acta Math. Sci., Ser. B, Engl. Ed. 43, No. 5, 1997--2004 (2023; Zbl 1524.28007) Full Text: DOI
Sun, Cui-Fang; Pan, Hao Partitions of finite nonnegative integer sets with identical representation functions. (English) Zbl 07700391 Bull. Iran. Math. Soc. 49, No. 3, Paper No. 35, 13 p. (2023). Reviewer: Yong-Gao Chen (Nanjing) MSC: 11B34 11B83 PDFBibTeX XMLCite \textit{C.-F. Sun} and \textit{H. Pan}, Bull. Iran. Math. Soc. 49, No. 3, Paper No. 35, 13 p. (2023; Zbl 07700391) Full Text: DOI arXiv
Shallit, Jeffrey; Shan, Sonja Linghui; Yang, Kai Hsiang Automatic sequences in negative bases and proofs of some conjectures of Shevelev. (English) Zbl 1527.11022 RAIRO, Theor. Inform. Appl. 57, Paper No. 4, 22 p. (2023). Reviewer: Jean-Paul Allouche (Paris) MSC: 11B85 11A63 68Q45 03D05 68R15 PDFBibTeX XMLCite \textit{J. Shallit} et al., RAIRO, Theor. Inform. Appl. 57, Paper No. 4, 22 p. (2023; Zbl 1527.11022) Full Text: DOI arXiv
Li, Yao-Qiang Bifurcations of digit frequencies in unique expansions. (English) Zbl 1523.11010 J. Number Theory 248, 420-446 (2023). Reviewer: Wolfgang Steiner (Paris) MSC: 11A63 68R15 PDFBibTeX XMLCite \textit{Y.-Q. Li}, J. Number Theory 248, 420--446 (2023; Zbl 1523.11010) Full Text: DOI
Dekking, F. M. The Thue-Morse sequence in base 3/2. (English) Zbl 1510.11086 J. Integer Seq. 26, No. 2, Article 23.2.3, 6 p. (2023). Reviewer: Takao Komatsu (Hangzhou) MSC: 11B85 11A63 PDFBibTeX XMLCite \textit{F. M. Dekking}, J. Integer Seq. 26, No. 2, Article 23.2.3, 6 p. (2023; Zbl 1510.11086) Full Text: arXiv Link
Spiegelhofer, Lukas Gaps in the Thue-Morse word. (English) Zbl 1516.68077 J. Aust. Math. Soc. 114, No. 1, 110-144 (2023). Reviewer: Francine Blanchet-Sadri (Greensboro) MSC: 68R15 11A63 11B85 68Q45 PDFBibTeX XMLCite \textit{L. Spiegelhofer}, J. Aust. Math. Soc. 114, No. 1, 110--144 (2023; Zbl 1516.68077) Full Text: DOI arXiv
Li, Yao-Qiang Expansions of generalized Thue-Morse numbers. (English) Zbl 07628629 Adv. Appl. Math. 143, Article ID 102456, 18 p. (2023). MSC: 11B85 68R15 11A63 11B83 PDFBibTeX XMLCite \textit{Y.-Q. Li}, Adv. Appl. Math. 143, Article ID 102456, 18 p. (2023; Zbl 07628629) Full Text: DOI
Bennett, Michael A.; Siksek, Samir Differences between perfect powers: the Lebesgue-Nagell equation. (English) Zbl 07618833 Trans. Am. Math. Soc. 376, No. 1, 335-370 (2023). Reviewer: Gökhan Soydan (Bursa) MSC: 11D61 11D41 11F80 11F03 PDFBibTeX XMLCite \textit{M. A. Bennett} and \textit{S. Siksek}, Trans. Am. Math. Soc. 376, No. 1, 335--370 (2023; Zbl 07618833) Full Text: DOI arXiv
Bartholdi, L.; Caballero, J. M. R.; Ahmed, T. The Thue-Morse substitutions and self-similar groups and algebras. (English) Zbl 07710052 Algebra Discrete Math. 34, No. 1, 1-14 (2022). MSC: 20E08 11B85 16S34 PDFBibTeX XMLCite \textit{L. Bartholdi} et al., Algebra Discrete Math. 34, No. 1, 1--14 (2022; Zbl 07710052) Full Text: arXiv Link
Tóth, László Linear combinations of Dirichlet series associated with the Thue-Morse sequence. (English) Zbl 1511.11078 Integers 22, Paper A98, 9 p. (2022). Reviewer: Sami Omar (Sukhair) MSC: 11M41 11B85 PDFBibTeX XMLCite \textit{L. Tóth}, Integers 22, Paper A98, 9 p. (2022; Zbl 1511.11078) Full Text: arXiv Link
Aedo, Ibai; Grimm, Uwe; Nagai, Yasushi; Staynova, Petra Monochromatic arithmetic progressions in binary Thue-Morse-like words. (English) Zbl 07597111 Theor. Comput. Sci. 934, 65-80 (2022). MSC: 68Qxx PDFBibTeX XMLCite \textit{I. Aedo} et al., Theor. Comput. Sci. 934, 65--80 (2022; Zbl 07597111) Full Text: DOI
Jiao, Kai-Jie; Sándor, Csaba; Yang, Quan-Hui; Zhou, Jun-Yu On integer sets with the same representation functions. (English) Zbl 1512.11014 Bull. Aust. Math. Soc. 106, No. 2, 224-235 (2022). Reviewer: Guoqing Wang (Tianjin) MSC: 11B34 11B13 PDFBibTeX XMLCite \textit{K.-J. Jiao} et al., Bull. Aust. Math. Soc. 106, No. 2, 224--235 (2022; Zbl 1512.11014) Full Text: DOI arXiv
Heuberger, Clemens; Krenn, Daniel; Lipnik, Gabriel F. Asymptotic analysis of \(q\)-recursive sequences. (English) Zbl 1523.11009 Algorithmica 84, No. 9, 2480-2532 (2022). Reviewer: Wolfgang Steiner (Paris) MSC: 11A63 05A16 11B37 30B50 68Q45 68R05 68R15 PDFBibTeX XMLCite \textit{C. Heuberger} et al., Algorithmica 84, No. 9, 2480--2532 (2022; Zbl 1523.11009) Full Text: DOI arXiv
Drmota, Michael; Mauduit, Christian; Rivat, Joël; Spiegelhofer, Lukas Möbius orthogonality of sequences with maximal entropy. (English) Zbl 1510.11128 J. Anal. Math. 146, No. 2, 531-548 (2022). Reviewer: Mehdi Hassani (Zanjan) MSC: 11K31 11A63 11L03 11L20 11N05 11N60 37A44 PDFBibTeX XMLCite \textit{M. Drmota} et al., J. Anal. Math. 146, No. 2, 531--548 (2022; Zbl 1510.11128) Full Text: DOI arXiv
Hu, Yining; Han, Guo-Niu On the algebraicity of Thue-Morse and period-doubling continued fractions. (English) Zbl 1498.11083 Acta Arith. 203, No. 4, 353-381 (2022). MSC: 11B85 11J70 11B50 11Y65 05A15 11T55 PDFBibTeX XMLCite \textit{Y. Hu} and \textit{G.-N. Han}, Acta Arith. 203, No. 4, 353--381 (2022; Zbl 1498.11083) Full Text: DOI arXiv
Beck, George; Dilcher, Karl A matrix related to Stern polynomials and the Prouhet-Thue-Morse sequence. (English) Zbl 1495.11048 Integers 22, Paper A42, 30 p. (2022). Reviewer: Maciej Ulas (Kraków) MSC: 11B83 05A15 15B36 PDFBibTeX XMLCite \textit{G. Beck} and \textit{K. Dilcher}, Integers 22, Paper A42, 30 p. (2022; Zbl 1495.11048) Full Text: arXiv Link
Aloui, Karam On the correlation of the Thue-Morse sequence. (English) Zbl 1505.11019 Ramanujan J. 58, No. 3, 771-799 (2022). Reviewer: Michel Rigo (Liège) MSC: 11A63 11B85 11L03 11L07 11N25 PDFBibTeX XMLCite \textit{K. Aloui}, Ramanujan J. 58, No. 3, 771--799 (2022; Zbl 1505.11019) Full Text: DOI
Shen, Zhao The subword complexity of polynomial subsequences of the Thue-Morse sequence. (La complexité de facteurs des sous-suites polynomiales de la suite de Thue-Morse.) (English. French summary) Zbl 1509.68210 C. R., Math., Acad. Sci. Paris 360, 503-511 (2022). Reviewer: Francine Blanchet-Sadri (Greensboro) MSC: 68R15 11B85 PDFBibTeX XMLCite \textit{Z. Shen}, C. R., Math., Acad. Sci. Paris 360, 503--511 (2022; Zbl 1509.68210) Full Text: DOI
de Vries, Martijn; Komornik, Vilmos; Loreti, Paola Topology of univoque sets in real base expansions. (English) Zbl 1504.11015 Topology Appl. 312, Article ID 108085, 36 p. (2022). Reviewer: Simon Kristensen (Aarhus) MSC: 11A63 11K55 11B83 37B10 PDFBibTeX XMLCite \textit{M. de Vries} et al., Topology Appl. 312, Article ID 108085, 36 p. (2022; Zbl 1504.11015) Full Text: DOI arXiv
Gómez, Ricardo; Nasser, Luis Symbolic structures in music theory and composition, binary keyboards, and the Thue-Morse shift. (English) Zbl 1495.00020 J. Math. Music 15, No. 3, 247-266 (2021). Reviewer: Octavio A. Agustín-Aquino (Huajuapan de León) MSC: 00A65 37B10 PDFBibTeX XMLCite \textit{R. Gómez} and \textit{L. Nasser}, J. Math. Music 15, No. 3, 247--266 (2021; Zbl 1495.00020) Full Text: DOI
Li, Yao-Qiang Generalized Koch curves and Thue-Morse sequences. (English) Zbl 1483.11047 Fractals 29, No. 6, Article ID 2150130, 15 p. (2021). MSC: 11B85 11B83 28A75 28A80 PDFBibTeX XMLCite \textit{Y.-Q. Li}, Fractals 29, No. 6, Article ID 2150130, 15 p. (2021; Zbl 1483.11047) Full Text: DOI arXiv
Almeida, Jorge; Klíma, Ondřej Binary patterns in the Prouhet-Thue-Morse sequence. (English) Zbl 1511.68207 Discrete Math. Theor. Comput. Sci. 23, No. 3, Paper No. 6, 13 p. (2021). MSC: 68R15 PDFBibTeX XMLCite \textit{J. Almeida} and \textit{O. Klíma}, Discrete Math. Theor. Comput. Sci. 23, No. 3, Paper No. 6, 13 p. (2021; Zbl 1511.68207) Full Text: DOI arXiv Link
Bettin, Sandro; Drappeau, Sary Two arithmetic applications of perturbations of composition operators. (English) Zbl 1496.11038 J. Anal. Math. 144, No. 1, 335-349 (2021). Reviewer: Michel Rigo (Liège) MSC: 11B83 11B85 47A55 05A15 47A12 47B33 PDFBibTeX XMLCite \textit{S. Bettin} and \textit{S. Drappeau}, J. Anal. Math. 144, No. 1, 335--349 (2021; Zbl 1496.11038) Full Text: DOI arXiv
Schindler, Tanja Scaling properties of the Thue-Morse measure: a summary. (English) Zbl 1484.37045 Wood, David R. (ed.) et al., 2019–20 MATRIX annals. Cham: Springer. MATRIX Book Ser. 4, 715-717 (2021). MSC: 37D35 37B40 PDFBibTeX XMLCite \textit{T. Schindler}, MATRIX Book Ser. 4, 715--717 (2021; Zbl 1484.37045) Full Text: DOI
Lambers, Roel; Spieksma, Frits C. R. A mathematical analysis of fairness in shootouts. (English) Zbl 07427776 IMA J. Manag. Math. 32, No. 4, 411-424 (2021). MSC: 90-XX 91-XX PDFBibTeX XMLCite \textit{R. Lambers} and \textit{F. C. R. Spieksma}, IMA J. Manag. Math. 32, No. 4, 411--424 (2021; Zbl 07427776) Full Text: DOI
Jiang, Xing-Wang; Sándor, Csaba; Yang, Quan-Hui A note on the lower bound of representation functions. (English) Zbl 1504.11020 Int. J. Number Theory 17, No. 10, 2243-2250 (2021). Reviewer: Raj Kumar Mistri (Bhilainagar) MSC: 11B34 11B83 PDFBibTeX XMLCite \textit{X.-W. Jiang} et al., Int. J. Number Theory 17, No. 10, 2243--2250 (2021; Zbl 1504.11020) Full Text: DOI arXiv
Kundu, Debanjana; Patel, Vandita Perfect powers that are sums of squares of an arithmetic progression. (English) Zbl 1505.11061 Rocky Mt. J. Math. 51, No. 3, 933-949 (2021). Reviewer: Gökhan Soydan (Bursa) MSC: 11D61 PDFBibTeX XMLCite \textit{D. Kundu} and \textit{V. Patel}, Rocky Mt. J. Math. 51, No. 3, 933--949 (2021; Zbl 1505.11061) Full Text: DOI arXiv
Kong, Derong; Li, Wenxia; Yao, Yuanyuan Pointwise densities of homogeneous Cantor measure and critical values. (English) Zbl 1466.28006 Nonlinearity 34, No. 4, 2350-2380 (2021). Reviewer: George Stoica (Saint John) MSC: 28A78 37B10 68R15 PDFBibTeX XMLCite \textit{D. Kong} et al., Nonlinearity 34, No. 4, 2350--2380 (2021; Zbl 1466.28006) Full Text: DOI arXiv
Shallit, Jeffrey Subword complexity of the Fibonacci-Thue-Morse sequence: the proof of Dekking’s conjecture. (English) Zbl 1489.11046 Indag. Math., New Ser. 32, No. 3, 729-735 (2021). Reviewer: Thomas B. Ward (Newcastle) MSC: 11B85 68R15 PDFBibTeX XMLCite \textit{J. Shallit}, Indag. Math., New Ser. 32, No. 3, 729--735 (2021; Zbl 1489.11046) Full Text: DOI arXiv
Cai, Yi; Komornik, Vilmos Difference of Cantor sets and frequencies in Thue-Morse type sequences. (English) Zbl 1488.28010 Publ. Math. Debr. 98, No. 1-2, 129-155 (2021). MSC: 28A80 11K55 37B10 PDFBibTeX XMLCite \textit{Y. Cai} and \textit{V. Komornik}, Publ. Math. Debr. 98, No. 1--2, 129--155 (2021; Zbl 1488.28010) Full Text: DOI arXiv
Konieczny, Jakub Algorithmic classification of noncorrelated binary pattern sequences. (English) Zbl 1468.11086 J. Number Theory 223, 229-254 (2021). MSC: 11B85 68R15 PDFBibTeX XMLCite \textit{J. Konieczny}, J. Number Theory 223, 229--254 (2021; Zbl 1468.11086) Full Text: DOI arXiv
Li, Yao-Qiang Infinite products related to generalized Thue-Morse sequences. (English) Zbl 1473.11064 Monatsh. Math. 194, No. 3, 577-600 (2021). MSC: 11B83 11B85 68R15 PDFBibTeX XMLCite \textit{Y.-Q. Li}, Monatsh. Math. 194, No. 3, 577--600 (2021; Zbl 1473.11064) Full Text: DOI arXiv
Jiang, Xing-Wang; Sándor, Csaba; Yang, Quan-Hui On the values of representation functions. II. (English) Zbl 1459.11032 J. Number Theory 218, 288-301 (2021). MSC: 11B34 11B83 PDFBibTeX XMLCite \textit{X.-W. Jiang} et al., J. Number Theory 218, 288--301 (2021; Zbl 1459.11032) Full Text: DOI arXiv
Popoli, Pierre On the maximum order complexity of Thue-Morse and Rudin-Shapiro sequences along polynomial values. (English) Zbl 1498.11031 Unif. Distrib. Theory 15, No. 2, 9-22 (2020). MSC: 11A63 11B85 PDFBibTeX XMLCite \textit{P. Popoli}, Unif. Distrib. Theory 15, No. 2, 9--22 (2020; Zbl 1498.11031) Full Text: DOI arXiv
Steiner, Wolfgang Thue-Morse-Sturmian words and critical bases for ternary alphabets. (Mots de Thue-Morse-Sturm et bases critiques pour les alphabets ternaires.) (English. French summary) Zbl 1478.11037 Bull. Soc. Math. Fr. 148, No. 4, 597-611 (2020). Reviewer: Jean-Paul Allouche (Paris) MSC: 11B85 11A63 11K55 68R15 PDFBibTeX XMLCite \textit{W. Steiner}, Bull. Soc. Math. Fr. 148, No. 4, 597--611 (2020; Zbl 1478.11037) Full Text: DOI arXiv
Labbé, Jean-Philippe; Rote, Günter; Ziegler, Günter Matthias Area difference bounds for dissections of a square into an odd number of triangles. (English) Zbl 1460.52016 Exp. Math. 29, No. 3, 253-275 (2020). MSC: 52B45 PDFBibTeX XMLCite \textit{J.-P. Labbé} et al., Exp. Math. 29, No. 3, 253--275 (2020; Zbl 1460.52016) Full Text: DOI arXiv
Spiegelhofer, Lukas The level of distribution of the Thue-Morse sequence. (English) Zbl 1468.11206 Compos. Math. 156, No. 12, 2560-2587 (2020). Reviewer: Jonas Šiaulys (Vilnius) MSC: 11N69 11B25 11B85 11A63 11K16 11B83 PDFBibTeX XMLCite \textit{L. Spiegelhofer}, Compos. Math. 156, No. 12, 2560--2587 (2020; Zbl 1468.11206) Full Text: DOI arXiv
Drappeau, S.; Hanna, G. The Thue-Morse and Rudin-Shapiro sequences at primes in principal number fields. (English) Zbl 1474.11191 Acta Math. Hung. 162, No. 1, 130-186 (2020). MSC: 11R44 11A63 11B85 PDFBibTeX XMLCite \textit{S. Drappeau} and \textit{G. Hanna}, Acta Math. Hung. 162, No. 1, 130--186 (2020; Zbl 1474.11191) Full Text: DOI arXiv
Hu, Yining; Wei-Han, Guoniu On the automaticity of sequences defined by the Thue-Morse and period-doubling Stieltjes continued fractions. (English) Zbl 1460.11034 Int. J. Number Theory 16, No. 10, 2187-2212 (2020). Reviewer: Jean-Paul Allouche (Paris) MSC: 11B85 11J70 11B50 11Y65 05A15 PDFBibTeX XMLCite \textit{Y. Hu} and \textit{G. Wei-Han}, Int. J. Number Theory 16, No. 10, 2187--2212 (2020; Zbl 1460.11034) Full Text: DOI
Merta, Łukasz Formal inverses of the generalized Thue-Morse sequences and variations of the Rudin-Shapiro sequence. (English) Zbl 1454.11058 Discrete Math. Theor. Comput. Sci. 22, No. 1, Paper No. 15, 20 p. (2020). Reviewer: Maciej Ulas (Kraków) MSC: 11B85 PDFBibTeX XMLCite \textit{Ł. Merta}, Discrete Math. Theor. Comput. Sci. 22, No. 1, Paper No. 15, 20 p. (2020; Zbl 1454.11058) Full Text: DOI arXiv
Blikstad, Joakim On the longest common subsequence of Thue-Morse words. (English) Zbl 1477.68248 Inf. Process. Lett. 164, Article ID 106020, 6 p. (2020). Reviewer: Gabriele Fici (Palermo) MSC: 68R15 PDFBibTeX XMLCite \textit{J. Blikstad}, Inf. Process. Lett. 164, Article ID 106020, 6 p. (2020; Zbl 1477.68248) Full Text: DOI arXiv
Tóth, László Transcendental infinite products associated with the \(\pm 1\) Thue-Morse sequence. (English) Zbl 1468.11087 J. Integer Seq. 23, No. 8, Article 20.8.2, 6 p. (2020). MSC: 11B85 11A63 68R15 PDFBibTeX XMLCite \textit{L. Tóth}, J. Integer Seq. 23, No. 8, Article 20.8.2, 6 p. (2020; Zbl 1468.11087) Full Text: arXiv Link
Kong, Derong; Li, Wenxia Critical base for the unique codings of fat Sierpinski gasket. (English) Zbl 1448.37013 Nonlinearity 33, No. 9, 4484-4511 (2020). Reviewer: Hasan Akin (Gaziantep) MSC: 37B10 37E05 68R15 11A63 28A80 PDFBibTeX XMLCite \textit{D. Kong} and \textit{W. Li}, Nonlinearity 33, No. 9, 4484--4511 (2020; Zbl 1448.37013) Full Text: DOI arXiv
Lužar, Borut; Mockovčiaková, Martina; Ochem, Pascal; Pinlou, Alexandre; Soták, Roman On non-repetitive sequences of arithmetic progressions: the cases \(k\in\{4,5,6,7,8\}\). (English) Zbl 1474.05379 Discrete Appl. Math. 279, 106-117 (2020). MSC: 05D10 68R15 11B25 PDFBibTeX XMLCite \textit{B. Lužar} et al., Discrete Appl. Math. 279, 106--117 (2020; Zbl 1474.05379) Full Text: DOI arXiv
Bettin, Sandro; Molteni, Giuseppe; Sanna, Carlo Greedy approximations by signed harmonic sums and the Thue-Morse sequence. (English) Zbl 1436.11080 Adv. Math. 366, Article ID 107068, 42 p. (2020). Reviewer: István Gaál (Debrecen) MSC: 11J25 11B83 PDFBibTeX XMLCite \textit{S. Bettin} et al., Adv. Math. 366, Article ID 107068, 42 p. (2020; Zbl 1436.11080) Full Text: DOI arXiv
Jiang, Xing-Wang On the values of representation functions. III. (English) Zbl 1459.11031 Int. J. Number Theory 16, No. 3, 511-522 (2020). MSC: 11B34 11B83 PDFBibTeX XMLCite \textit{X.-W. Jiang}, Int. J. Number Theory 16, No. 3, 511--522 (2020; Zbl 1459.11031) Full Text: DOI
Andrieu, Mélodie; Frid, Anna E. Morphic words and equidistributed sequences. (English) Zbl 1450.68002 Theor. Comput. Sci. 804, 171-185 (2020). Reviewer: Wolfgang Steiner (Paris) MSC: 68R15 11B85 11K31 37B10 PDFBibTeX XMLCite \textit{M. Andrieu} and \textit{A. E. Frid}, Theor. Comput. Sci. 804, 171--185 (2020; Zbl 1450.68002) Full Text: DOI arXiv
Sun, Zhimin; Winterhof, Arne On the maximum order complexity of the Thue-Morse and Rudin-Shapiro sequence. (English) Zbl 1472.11089 Unif. Distrib. Theory 14, No. 2, 33-42 (2019). MSC: 11B85 11K45 PDFBibTeX XMLCite \textit{Z. Sun} and \textit{A. Winterhof}, Unif. Distrib. Theory 14, No. 2, 33--42 (2019; Zbl 1472.11089) Full Text: DOI arXiv
Cicalese, Ferdinando; Lipták, Zsuzsanna; Rossi, Massimiliano On infinite prefix normal words. (English) Zbl 1445.68184 Catania, Barbara (ed.) et al., SOFSEM 2019: theory and practice of computer science. 45th international conference on current trends in theory and practice of computer science, Nový Smokovec, Slovakia, January 27–30, 2019. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 11376, 122-135 (2019). MSC: 68R15 PDFBibTeX XMLCite \textit{F. Cicalese} et al., Lect. Notes Comput. Sci. 11376, 122--135 (2019; Zbl 1445.68184) Full Text: DOI arXiv
Currie, James D. Finite test sets for morphisms that are squarefree on some of Thue’s squarefree ternary words. (English) Zbl 1447.68011 J. Integer Seq. 22, No. 8, Article 19.8.2, 9 p. (2019). Reviewer: Francine Blanchet-Sadri (Greensboro) MSC: 68R15 PDFBibTeX XMLCite \textit{J. D. Currie}, J. Integer Seq. 22, No. 8, Article 19.8.2, 9 p. (2019; Zbl 1447.68011) Full Text: arXiv Link
Frid, Anna E. Prefix palindromic length of the Thue-Morse word. (English) Zbl 1437.68146 J. Integer Seq. 22, No. 7, Article 19.7.8, 13 p. (2019). Reviewer: Gabriele Fici (Palermo) MSC: 68R15 11B85 PDFBibTeX XMLCite \textit{A. E. Frid}, J. Integer Seq. 22, No. 7, Article 19.7.8, 13 p. (2019; Zbl 1437.68146) Full Text: arXiv Link
Wu, Xinxing; Chen, Guanrong Answering two open problems on Banks theorem for non-autonomous dynamical systems. (English) Zbl 1435.37037 J. Difference Equ. Appl. 25, No. 12, 1790-1794 (2019). MSC: 37B55 37C25 37B05 PDFBibTeX XMLCite \textit{X. Wu} and \textit{G. Chen}, J. Difference Equ. Appl. 25, No. 12, 1790--1794 (2019; Zbl 1435.37037) Full Text: DOI arXiv
Currie, James; Harju, Tero; Ochem, Pascal; Rampersad, Narad Some further results on squarefree arithmetic progressions in infinite words. (English) Zbl 1436.68276 Theor. Comput. Sci. 799, 140-148 (2019). MSC: 68R15 11B85 PDFBibTeX XMLCite \textit{J. Currie} et al., Theor. Comput. Sci. 799, 140--148 (2019; Zbl 1436.68276) Full Text: DOI arXiv
Kotlyarov, Nikita V. Existence of words over a binary alphabet free from squares with mismatches. (English. Russian original) Zbl 1467.68147 Discrete Math. Appl. 29, No. 3, 175-188 (2019); translation from Diskretn. Mat. 30, No. 2, 37-54 (2018). Reviewer: Anton Shutov (Vladimir) MSC: 68R15 PDFBibTeX XMLCite \textit{N. V. Kotlyarov}, Discrete Math. Appl. 29, No. 3, 175--188 (2019; Zbl 1467.68147); translation from Diskretn. Mat. 30, No. 2, 37--54 (2018) Full Text: DOI
Konieczny, Jakub Gowers norms for the Thue-Morse and Rudin-Shapiro sequences. (Normes de Gowers pour les suites de Thue-Morse et de Rudin-Shapiro.) (English. French summary) Zbl 1466.11011 Ann. Inst. Fourier 69, No. 4, 1897-1913 (2019). Reviewer: Wolfgang Steiner (Paris) MSC: 11B85 11B30 PDFBibTeX XMLCite \textit{J. Konieczny}, Ann. Inst. Fourier 69, No. 4, 1897--1913 (2019; Zbl 1466.11011) Full Text: DOI arXiv
Baake, M.; Gohlke, P.; Kesseböhmer, M.; Schindler, T. Scaling properties of the Thue-Morse measure. (English) Zbl 1414.37019 Discrete Contin. Dyn. Syst. 39, No. 7, 4157-4185 (2019). MSC: 37D35 37C45 52C23 PDFBibTeX XMLCite \textit{M. Baake} et al., Discrete Contin. Dyn. Syst. 39, No. 7, 4157--4185 (2019; Zbl 1414.37019) Full Text: DOI arXiv
Allouche, J.-P.; Riasat, S.; Shallit, J. More infinite products: Thue-Morse and the gamma function. (English) Zbl 1466.11002 Ramanujan J. 49, No. 1, 115-128 (2019). Reviewer: Michel Rigo (Liège) MSC: 11A63 11B83 11B85 68R15 PDFBibTeX XMLCite \textit{J. P. Allouche} et al., Ramanujan J. 49, No. 1, 115--128 (2019; Zbl 1466.11002) Full Text: DOI arXiv
Chen, Jin; Wen, Zhi-Xiong On the abelian complexity of generalized Thue-Morse sequences. (English) Zbl 1423.68369 Theor. Comput. Sci. 780, 66-73 (2019). Reviewer: Michel Rigo (Liège) MSC: 68R15 11B85 PDFBibTeX XMLCite \textit{J. Chen} and \textit{Z.-X. Wen}, Theor. Comput. Sci. 780, 66--73 (2019; Zbl 1423.68369) Full Text: DOI arXiv
Chen, Jin; Wen, Zhixiong; Wu, Wen On the additive complexity of a Thue-Morse-like sequence. (English) Zbl 1409.68225 Discrete Appl. Math. 260, 98-108 (2019). MSC: 68R15 11B85 PDFBibTeX XMLCite \textit{J. Chen} et al., Discrete Appl. Math. 260, 98--108 (2019; Zbl 1409.68225) Full Text: DOI arXiv
Drmota, Michael; Mauduit, Christian; Rivat, Joël Normality along squares. (English) Zbl 1430.11010 J. Eur. Math. Soc. (JEMS) 21, No. 2, 507-548 (2019). Reviewer: Thomas B. Ward (Leeds) MSC: 11A63 11B85 11K16 11L07 37B10 PDFBibTeX XMLCite \textit{M. Drmota} et al., J. Eur. Math. Soc. (JEMS) 21, No. 2, 507--548 (2019; Zbl 1430.11010) Full Text: DOI
Lempiäinen, Tuomo; Suomela, Jukka Constant space and non-constant time in distributed computing. (English) Zbl 1487.68253 Aspnes, James (ed.) et al., 21st international conference on principles of distributed systems, OPODIS 2017, Lisboa, Portugal, December 18–20, 2017. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 95, Article 30, 16 p. (2018). MSC: 68W15 68Q10 68Q25 68R10 68W40 PDFBibTeX XMLCite \textit{T. Lempiäinen} and \textit{J. Suomela}, LIPIcs -- Leibniz Int. Proc. Inform. 95, Article 30, 16 p. (2018; Zbl 1487.68253) Full Text: DOI arXiv
Queffélec, Martine Questions around the Thue-Morse sequence. (English) Zbl 1456.11136 Unif. Distrib. Theory 13, No. 1, 1-25 (2018). MSC: 11K31 11B83 37B10 PDFBibTeX XMLCite \textit{M. Queffélec}, Unif. Distrib. Theory 13, No. 1, 1--25 (2018; Zbl 1456.11136) Full Text: DOI
Bille, Philip; Gagie, Travis; Gørtz, Inge Li; Prezza, Nicola A separation between RLSLPs and LZ77. (English) Zbl 1486.68058 J. Discrete Algorithms 50, 36-39 (2018). MSC: 68P30 68P05 68Q42 68R15 PDFBibTeX XMLCite \textit{P. Bille} et al., J. Discrete Algorithms 50, 36--39 (2018; Zbl 1486.68058) Full Text: DOI Link
Mérai, László; Winterhof, Arne On the pseudorandomness of automatic sequences. (English) Zbl 1419.11101 Cryptogr. Commun. 10, No. 6, 1013-1022 (2018). MSC: 11K45 68R15 68Q25 68Q70 PDFBibTeX XMLCite \textit{L. Mérai} and \textit{A. Winterhof}, Cryptogr. Commun. 10, No. 6, 1013--1022 (2018; Zbl 1419.11101) Full Text: DOI arXiv
Mauduit, Christian; Montgomery, Hugh L.; Rivat, J. Moments of a Thue-Morse generating function. (English) Zbl 1448.11059 J. Anal. Math. 135, No. 2, 713-724 (2018). Reviewer: Amin Witno (Amman) MSC: 11B83 PDFBibTeX XMLCite \textit{C. Mauduit} et al., J. Anal. Math. 135, No. 2, 713--724 (2018; Zbl 1448.11059) Full Text: DOI
Gawron, Maciej; Miska, Piotr; Ulas, Maciej Arithmetic properties of coefficients of power series expansion of \(\prod _{n=0}^{\infty }\left( 1-x^{2^{n}}\right) ^{t}\) (with an appendix by Andrzej Schinzel). (English) Zbl 1388.11072 Monatsh. Math. 185, No. 2, 307-360 (2018). Reviewer: Mircea Merca (Cornu) MSC: 11P81 11P83 11B50 PDFBibTeX XMLCite \textit{M. Gawron} et al., Monatsh. Math. 185, No. 2, 307--360 (2018; Zbl 1388.11072) Full Text: DOI arXiv
Fillman, Jake Resolvent methods for quantum walks with an application to a Thue-Morse quantum walk. (English) Zbl 1470.81041 Interdiscip. Inf. Sci. 23, No. 1, 27-32 (2017). MSC: 81S25 60G50 34L15 PDFBibTeX XMLCite \textit{J. Fillman}, Interdiscip. Inf. Sci. 23, No. 1, 27--32 (2017; Zbl 1470.81041) Full Text: DOI arXiv
Aistleitner, Christoph; Hofer, Roswitha; Larcher, Gerhard On evil Kronecker sequences and lacunary trigonometric products. (Suites méchantes de Kronecker et produits trigonométriques.) (English. French summary) Zbl 1437.11042 Ann. Inst. Fourier 67, No. 2, 637-687 (2017). MSC: 11B85 11K38 11B83 11A63 68R15 PDFBibTeX XMLCite \textit{C. Aistleitner} et al., Ann. Inst. Fourier 67, No. 2, 637--687 (2017; Zbl 1437.11042) Full Text: DOI
Veech, William A. Möbius orthogonality for generalized Morse-Kakutani flows. (English) Zbl 1381.37006 Am. J. Math. 139, No. 5, 1157-1203 (2017). Reviewer: George Stoica (Saint John) MSC: 37A17 37A10 37B10 37A45 PDFBibTeX XMLCite \textit{W. A. Veech}, Am. J. Math. 139, No. 5, 1157--1203 (2017; Zbl 1381.37006) Full Text: DOI
Allaart, Pieter C. Differentiability of a two-parameter family of self-affine functions. (English) Zbl 1373.28005 J. Math. Anal. Appl. 450, No. 2, 954-968 (2017). MSC: 28A80 26A27 28A78 PDFBibTeX XMLCite \textit{P. C. Allaart}, J. Math. Anal. Appl. 450, No. 2, 954--968 (2017; Zbl 1373.28005) Full Text: DOI arXiv
Bugeaud, Yann; Yao, Jia-Yan Hankel determinants, Padé approximations, and irrationality exponents for \(p\)-adic numbers. (English) Zbl 1435.11094 Ann. Mat. Pura Appl. (4) 196, No. 3, 929-946 (2017). MSC: 11J72 11J82 05A10 05A15 11B50 11B85 PDFBibTeX XMLCite \textit{Y. Bugeaud} and \textit{J.-Y. Yao}, Ann. Mat. Pura Appl. (4) 196, No. 3, 929--946 (2017; Zbl 1435.11094) Full Text: DOI
Zhao, Hancong; Zhang, Dong Sums of digits and the distribution of generalized Thue-Morse sequences. (English) Zbl 1381.11010 J. Integer Seq. 20, No. 3, Article 17.3.3, 11 p. (2017). MSC: 11A63 11Y55 11B83 68R15 PDFBibTeX XMLCite \textit{H. Zhao} and \textit{D. Zhang}, J. Integer Seq. 20, No. 3, Article 17.3.3, 11 p. (2017; Zbl 1381.11010) Full Text: EMIS
Han, Guo-Niu Jacobi continued fraction and Hankel determinants of the Thue-Morse sequence. (English) Zbl 1423.05014 Quaest. Math. 39, No. 7, 895-909 (2016). MSC: 05A15 05A19 11A55 11B37 11B50 11B85 11C20 15A15 PDFBibTeX XMLCite \textit{G.-N. Han}, Quaest. Math. 39, No. 7, 895--909 (2016; Zbl 1423.05014) Full Text: DOI HAL
Fu, Hao; Han, Guo-Niu Computer assisted proof for Apwenian sequences. (English) Zbl 1364.11070 Rosenkranz, Markus (ed.), Proceedings of the 41st international symposium on symbolic and algebraic computation, ISSAC 2016, Waterloo, Canada, July 20–22, 2016. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-4380-0). 231-238 (2016). MSC: 11B85 05A05 68R15 PDFBibTeX XMLCite \textit{H. Fu} and \textit{G.-N. Han}, in: Proceedings of the 41st international symposium on symbolic and algebraic computation, ISSAC 2016, Waterloo, Canada, July 20--22, 2016. New York, NY: Association for Computing Machinery (ACM). 231--238 (2016; Zbl 1364.11070) Full Text: DOI HAL
Dębski, Michał; Pastwa, Urszula; Węsek, Krzysztof Grasshopper avoidance of patterns. (English) Zbl 1351.05007 Electron. J. Comb. 23, No. 4, Research Paper P4.17, 16 p. (2016). MSC: 05A05 68R15 PDFBibTeX XMLCite \textit{M. Dębski} et al., Electron. J. Comb. 23, No. 4, Research Paper P4.17, 16 p. (2016; Zbl 1351.05007) Full Text: Link
Han, Guo-Niu Hankel continued fraction and its applications. (English) Zbl 1346.05002 Adv. Math. 303, 295-321 (2016). MSC: 05-04 05A15 11A55 11B50 11B85 11C20 11J82 11T99 11Y65 15-04 15A15 15B33 30B70 PDFBibTeX XMLCite \textit{G.-N. Han}, Adv. Math. 303, 295--321 (2016; Zbl 1346.05002) Full Text: DOI arXiv
Przybyło, Jakub; Schreyer, Jens; Škrabuľáková, Erika On the facial Thue choice number of plane graphs via entropy compression method. (English) Zbl 1338.05057 Graphs Comb. 32, No. 3, 1137-1153 (2016). MSC: 05C10 PDFBibTeX XMLCite \textit{J. Przybyło} et al., Graphs Comb. 32, No. 3, 1137--1153 (2016; Zbl 1338.05057) Full Text: DOI arXiv
Kim, Sun Ho Unique tracial state on the labeled graph \(C^\ast\)-algebra associated to the Thue-Morse sequence. (English) Zbl 1361.46042 Int. J. Math. 27, No. 5, Article ID 1650040, 19 p. (2016). MSC: 46L05 46L55 37A55 PDFBibTeX XMLCite \textit{S. H. Kim}, Int. J. Math. 27, No. 5, Article ID 1650040, 19 p. (2016; Zbl 1361.46042) Full Text: DOI arXiv
Allouche, Jean-Paul; Cloitre, Benoit; Shevelev, V. Beyond odious and evil. (English) Zbl 1415.11019 Aequationes Math. 90, No. 2, 341-353 (2016). MSC: 11A63 11B83 11B85 11A07 05A15 68R15 PDFBibTeX XMLCite \textit{J.-P. Allouche} et al., Aequationes Math. 90, No. 2, 341--353 (2016; Zbl 1415.11019) Full Text: DOI arXiv
Gawron, Maciej; Ulas, Maciej On formal inverse of the Prouhet-Thue-Morse sequence. (English) Zbl 1338.11037 Discrete Math. 339, No. 5, 1459-1470 (2016). MSC: 11B85 05A10 05A15 PDFBibTeX XMLCite \textit{M. Gawron} and \textit{M. Ulas}, Discrete Math. 339, No. 5, 1459--1470 (2016; Zbl 1338.11037) Full Text: DOI arXiv
Schaeffer, Luke; Shallit, Jeffrey Closed, palindromic, rich, privileged, trapezoidal, and balanced words in automatic sequences. (English) Zbl 1338.11039 Electron. J. Comb. 23, No. 1, Research Paper P1.25, 19 p. (2016). MSC: 11B85 68R15 PDFBibTeX XMLCite \textit{L. Schaeffer} and \textit{J. Shallit}, Electron. J. Comb. 23, No. 1, Research Paper P1.25, 19 p. (2016; Zbl 1338.11039) Full Text: arXiv Link
Byszewski, J.; Ulas, M. Some identities involving the Prouhet-Thue-Morse sequence and its relatives. (English) Zbl 1374.11018 Acta Math. Hung. 147, No. 2, 438-456 (2015). Reviewer: Štefan Porubský (Praha) MSC: 11B37 11B83 11B85 11A63 PDFBibTeX XMLCite \textit{J. Byszewski} and \textit{M. Ulas}, Acta Math. Hung. 147, No. 2, 438--456 (2015; Zbl 1374.11018) Full Text: DOI arXiv
Kotlyarov, Nikita V. Existence of arbitrarily long square-free words with one possible mismatch. (English. Russian original) Zbl 1345.68246 Discrete Math. Appl. 25, No. 6, 345-357 (2015); translation from Diskretn. Mat. 27, No. 2, 56-72 (2015). MSC: 68R15 68Q45 PDFBibTeX XMLCite \textit{N. V. Kotlyarov}, Discrete Math. Appl. 25, No. 6, 345--357 (2015; Zbl 1345.68246); translation from Diskretn. Mat. 27, No. 2, 56--72 (2015) Full Text: DOI
Niu, Min; Zhang, Ting; Yin, Hong A note on the Thue-Morse linear subsequence. (English) Zbl 1349.11059 Math. Appl. 28, No. 4, 933-937 (2015). MSC: 11B85 68R15 PDFBibTeX XMLCite \textit{M. Niu} et al., Math. Appl. 28, No. 4, 933--937 (2015; Zbl 1349.11059)
Hare, Kevin G. Base-\(d\) expansions with digits 0 to \(q-1\). (English) Zbl 1499.28022 Exp. Math. 24, No. 3, 295-303 (2015). MSC: 28D20 26A30 PDFBibTeX XMLCite \textit{K. G. Hare}, Exp. Math. 24, No. 3, 295--303 (2015; Zbl 1499.28022) Full Text: DOI
Du, Chen Fei; Shallit, Jeffrey; Shur, Arseny M. Optimal bounds for the similarity density of the Thue-Morse word with overlap-free and \(\frac73\)-power-free infinite binary words. (English) Zbl 1341.68143 Int. J. Found. Comput. Sci. 26, No. 8, 1147-1165 (2015). Reviewer: Anton Cerny (Safat) MSC: 68R15 PDFBibTeX XMLCite \textit{C. F. Du} et al., Int. J. Found. Comput. Sci. 26, No. 8, 1147--1165 (2015; Zbl 1341.68143) Full Text: DOI
Aksenov, Alexandre Counting solutions without zeros or repetitions of a linear congruence and rarefaction in \(b\)-multiplicative sequences. (English. French summary) Zbl 1397.11060 J. Théor. Nombres Bordx. 27, No. 3, 625-654 (2015). MSC: 11B83 11A05 11A07 05A10 PDFBibTeX XMLCite \textit{A. Aksenov}, J. Théor. Nombres Bordx. 27, No. 3, 625--654 (2015; Zbl 1397.11060) Full Text: DOI arXiv
Spiegelhofer, Lukas Normality of the Thue-Morse sequence along Piatetski-Shapiro sequences. (English) Zbl 1388.11050 Q. J. Math. 66, No. 4, 1127-1138 (2015). MSC: 11K16 11B83 PDFBibTeX XMLCite \textit{L. Spiegelhofer}, Q. J. Math. 66, No. 4, 1127--1138 (2015; Zbl 1388.11050) Full Text: DOI arXiv
Mauduit, Christian; Moreira, Carlos Gustavo Moser-Newman phenomenon for square-free numbers. (Phénomène de Moser-Newman pour les nombres sans facteur carré.) (French. English summary) Zbl 1352.11015 Bull. Soc. Math. Fr. 143, No. 3, 599-617 (2015). Reviewer: Wolfgang Steiner (Sydney) MSC: 11A63 11B85 11L03 11N25 PDFBibTeX XMLCite \textit{C. Mauduit} and \textit{C. G. Moreira}, Bull. Soc. Math. Fr. 143, No. 3, 599--617 (2015; Zbl 1352.11015) Full Text: DOI Link
Allouche, Jean-Paul Thue, combinatorics on words, and conjectures inspired by the Thue-Morse sequence. (English. French summary) Zbl 1395.11039 J. Théor. Nombres Bordx. 27, No. 2, 375-388 (2015). MSC: 11B83 11B85 05A05 PDFBibTeX XMLCite \textit{J.-P. Allouche}, J. Théor. Nombres Bordx. 27, No. 2, 375--388 (2015; Zbl 1395.11039) Full Text: DOI arXiv
Stoll, Thomas Thue-Morse along two polynomial subsequences. (English) Zbl 1385.68030 Manea, Florin (ed.) et al., Combinatorics on words. 10th international conference, WORDS 2015, Kiel, Germany, September 14–17, 2015. Proceedings. Cham: Springer (ISBN 978-3-319-23659-9/pbk; 978-3-319-23660-5/ebook). Lecture Notes in Computer Science 9304, 47-58 (2015). Reviewer: Jean-Paul Allouche (Paris) MSC: 68R15 11B85 PDFBibTeX XMLCite \textit{T. Stoll}, Lect. Notes Comput. Sci. 9304, 47--58 (2015; Zbl 1385.68030) Full Text: DOI
Greinecker, Florian On the 2-abelian complexity of the Thue-Morse word. (English) Zbl 1330.68234 Theor. Comput. Sci. 593, 88-105 (2015). MSC: 68R15 PDFBibTeX XMLCite \textit{F. Greinecker}, Theor. Comput. Sci. 593, 88--105 (2015; Zbl 1330.68234) Full Text: DOI arXiv
Han, Guo-Niu; Wu, Wen Evaluations of the Hankel determinants of a Thue-Morse-like sequence. (English) Zbl 1350.11040 Int. J. Number Theory 11, No. 6, 1887-1904 (2015). Reviewer: Arnold Richard Kräuter (Leoben) MSC: 11B85 11C20 15A15 05A15 11B83 PDFBibTeX XMLCite \textit{G.-N. Han} and \textit{W. Wu}, Int. J. Number Theory 11, No. 6, 1887--1904 (2015; Zbl 1350.11040) Full Text: DOI arXiv
Nguyen, Hieu D. A generalization of the digital binomial theorem. (English) Zbl 1378.11038 J. Integer Seq. 18, No. 5, Article 15.5.7, 20 p. (2015). MSC: 11C20 05A19 15B36 PDFBibTeX XMLCite \textit{H. D. Nguyen}, J. Integer Seq. 18, No. 5, Article 15.5.7, 20 p. (2015; Zbl 1378.11038) Full Text: arXiv EMIS
Nguyen, Hieu D. A mixing of Prouhet-Thue-Morse sequences and Rademacher functions. (English) Zbl 1325.11012 Integers 15, Paper A14, 16 p. (2015). Reviewer: Amin Witno (Amman) MSC: 11A63 11B37 PDFBibTeX XMLCite \textit{H. D. Nguyen}, Integers 15, Paper A14, 16 p. (2015; Zbl 1325.11012) Full Text: arXiv EMIS