Charlier, Émilie; Cisternino, Célia; Kreczman, Savinien On periodic alternate base expansions. (English) Zbl 07748221 J. Number Theory 254, 184-198 (2024). MSC: 11K16 11R06 PDF BibTeX XML Cite \textit{É. Charlier} et al., J. Number Theory 254, 184--198 (2024; Zbl 07748221) Full Text: DOI arXiv
Becher, Verónica; Marchionna, Agustín; Tenenbaum, Gérald On simply normal numbers with digit dependencies. (English) Zbl 07754834 Mathematika 69, No. 4, 988-991 (2023). Reviewer: Simon Baker (Loughborough) MSC: 11K16 11N60 11N56 PDF BibTeX XML Cite \textit{V. Becher} et al., Mathematika 69, No. 4, 988--991 (2023; Zbl 07754834) Full Text: DOI arXiv
McNew, Nathan; Pollack, Paul; Roy, Akash Singha Intermediate prime factors in specified subsets. (English) Zbl 07753448 Monatsh. Math. 202, No. 4, 837-855 (2023). MSC: 11A63 11K16 11N37 PDF BibTeX XML Cite \textit{N. McNew} et al., Monatsh. Math. 202, No. 4, 837--855 (2023; Zbl 07753448) Full Text: DOI
Kátai, Imre Some old and new problems on arithmetical functions. (English) Zbl 07751571 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 55, 133-150 (2023). MSC: 11A07 11A25 11N25 11N64 11D61 11E45 11K16 PDF BibTeX XML Cite \textit{I. Kátai}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 55, 133--150 (2023; Zbl 07751571) Full Text: Link
Tavazoei, Mohammad Saleh Nonminimality of the realizations and possessing state matrices with integer elements in linear discrete-time controllers. (English) Zbl 07744857 IEEE Trans. Autom. Control 68, No. 6, 3698-3703 (2023). MSC: 93-XX PDF BibTeX XML Cite \textit{M. S. Tavazoei}, IEEE Trans. Autom. Control 68, No. 6, 3698--3703 (2023; Zbl 07744857) Full Text: DOI
Dubickas, Artūras Every Salem number is a difference of two Pisot numbers. (English) Zbl 07738151 Proc. Edinb. Math. Soc., II. Ser. 66, No. 3, 862-867 (2023). Reviewer: Toufik Zaïmi (Riyadh) MSC: 11R06 11J72 PDF BibTeX XML Cite \textit{A. Dubickas}, Proc. Edinb. Math. Soc., II. Ser. 66, No. 3, 862--867 (2023; Zbl 07738151) Full Text: DOI
Akiyama, Shigeki; Hichri, Hachem Periodic expansion of one by Salem numbers. (English) Zbl 07732810 Ergodic Theory Dyn. Syst. 43, No. 9, 2841-2862 (2023). MSC: 37A44 37E45 11K16 PDF BibTeX XML Cite \textit{S. Akiyama} and \textit{H. Hichri}, Ergodic Theory Dyn. Syst. 43, No. 9, 2841--2862 (2023; Zbl 07732810) Full Text: DOI arXiv
Charlier, Émilie Alternate base numeration systems. (English) Zbl 07716977 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: 68R15 PDF BibTeX XML Cite \textit{É. Charlier}, Lect. Notes Comput. Sci. 13899, 14--34 (2023; Zbl 07716977) Full Text: DOI
Koshkin, Sergiy; Rodriguez, Daniel Linear recurrent cryptography: golden-like cryptography for higher order linear recurrences. (English) Zbl 07712647 Discrete Math. Algorithms Appl. 15, No. 3, Article ID 2250094, 27 p. (2023). MSC: 11T71 94B25 94A60 15B48 11B37 15B36 11K16 PDF BibTeX XML Cite \textit{S. Koshkin} and \textit{D. Rodriguez}, Discrete Math. Algorithms Appl. 15, No. 3, Article ID 2250094, 27 p. (2023; Zbl 07712647) Full Text: DOI arXiv
Hofer, Roswitha; Larcher, Gerhard Discrepancy bounds for normal numbers generated by necklaces in arbitrary base. (English) Zbl 07710007 J. Complexity 78, Article ID 101767, 26 p. (2023). Reviewer: Anton Shutov (Vladimir) MSC: 11K16 11K38 PDF BibTeX XML Cite \textit{R. Hofer} and \textit{G. Larcher}, J. Complexity 78, Article ID 101767, 26 p. (2023; Zbl 07710007) Full Text: DOI arXiv
Chang, Sungkon Unlikely leading digits of powers of 2. (English) Zbl 07701616 Elem. Math. 78, No. 2, 77-81 (2023). Reviewer: Takao Komatsu (Hangzhou) MSC: 11A63 11K16 11A55 PDF BibTeX XML Cite \textit{S. Chang}, Elem. Math. 78, No. 2, 77--81 (2023; Zbl 07701616) Full Text: DOI
Aveni, Andrea; Leonetti, Paolo Most numbers are not normal. (English) Zbl 07695687 Math. Proc. Camb. Philos. Soc. 175, No. 1, 1-11 (2023). Reviewer: Takao Komatsu (Hangzhou) MSC: 11K16 40A35 11A63 PDF BibTeX XML Cite \textit{A. Aveni} and \textit{P. Leonetti}, Math. Proc. Camb. Philos. Soc. 175, No. 1, 1--11 (2023; Zbl 07695687) Full Text: DOI arXiv
Kellerhals, R.; Liechti, L. Salem numbers, spectral radii and growth rates of hyperbolic Coxeter groups. (English) Zbl 1517.20064 Transform. Groups 28, No. 2, 831-852 (2023). Reviewer: Stratos Prassidis (Karlovasi) MSC: 20F55 11R06 11K16 20F67 20F69 PDF BibTeX XML Cite \textit{R. Kellerhals} and \textit{L. Liechti}, Transform. Groups 28, No. 2, 831--852 (2023; Zbl 1517.20064) Full Text: DOI arXiv
De Saxcé, Nicolas \(\times 2\) and \(\times 3\) invariant sets. (Ensembles invariants par \(\times 2\) et \(\times 3\).) (French) Zbl 07686273 Gaz. Math., Soc. Math. Fr. 175, 25-34 (2023). MSC: 11K16 11A63 28A80 28D05 37C45 PDF BibTeX XML Cite \textit{N. De Saxcé}, Gaz. Math., Soc. Math. Fr. 175, 25--34 (2023; Zbl 07686273)
Charlier, Émilie; Cisternino, Célia; Masáková, Zuzana; Pelantová, Edita Spectrum, algebraicity and normalization in alternate bases. (English) Zbl 07679890 J. Number Theory 249, 470-499 (2023). Reviewer: Jean-Paul Allouche (Paris) MSC: 11K16 11R06 37B10 68Q45 PDF BibTeX XML Cite \textit{É. Charlier} et al., J. Number Theory 249, 470--499 (2023; Zbl 07679890) Full Text: DOI arXiv
Becher, Verónica; Himelfarb, Gabriel Sac A construction of a \(\lambda\)-Poisson generic sequence. (English) Zbl 1520.11071 Math. Comput. 92, No. 341, 1453-1466 (2023). Reviewer: Takao Komatsu (Hangzhou) MSC: 11K16 05A05 60G55 PDF BibTeX XML Cite \textit{V. Becher} and \textit{G. S. Himelfarb}, Math. Comput. 92, No. 341, 1453--1466 (2023; Zbl 1520.11071) Full Text: DOI arXiv
Kristensen, Simon; Mathiasen, Oskar BBP-type formulas – an elementary approach. (English) Zbl 1509.11070 J. Number Theory 244, 251-263 (2023). Reviewer: Takao Komatsu (Hangzhou) MSC: 11K16 11Y60 PDF BibTeX XML Cite \textit{S. Kristensen} and \textit{O. Mathiasen}, J. Number Theory 244, 251--263 (2023; Zbl 1509.11070) Full Text: DOI arXiv
Iwasaki, Katsunori; Takada, Yuta \(K3\) surfaces, Picard numbers and Siegel disks. (English) Zbl 1502.14088 J. Pure Appl. Algebra 227, No. 3, Article ID 107215, 31 p. (2023). Reviewer: Noriko Yui (Kingston) MSC: 14J28 14J50 11K16 PDF BibTeX XML Cite \textit{K. Iwasaki} and \textit{Y. Takada}, J. Pure Appl. Algebra 227, No. 3, Article ID 107215, 31 p. (2023; Zbl 1502.14088) Full Text: DOI arXiv
Kumar, Veekesh; Thangadurai, R. On simultaneous approximation of algebraic numbers. (English) Zbl 07740364 Mathematika 68, No. 4, 1153-1175 (2022). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J68 11J87 PDF BibTeX XML Cite \textit{V. Kumar} and \textit{R. Thangadurai}, Mathematika 68, No. 4, 1153--1175 (2022; Zbl 07740364) Full Text: DOI arXiv
Pratsiovytyi, M. V.; Goncharenko, Ya. V.; Lysenko, I. M.; Ratushniak, S. P. Continued \(A_2\)-fractions and singular functions. (English) Zbl 1517.11096 Mat. Stud. 58, No. 1, 3-12 (2022). Reviewer: Takao Komatsu (Hangzhou) MSC: 11K16 11K50 26A30 PDF BibTeX XML Cite \textit{M. V. Pratsiovytyi} et al., Mat. Stud. 58, No. 1, 3--12 (2022; Zbl 1517.11096) Full Text: DOI
Dubickas, Artūras Mahler measures of Pisot and Salem type numbers. (English) Zbl 1509.11097 Quaest. Math. 45, No. 9, 1449-1458 (2022). Reviewer: Riccardo Pengo (Bonn) MSC: 11R06 11R11 PDF BibTeX XML Cite \textit{A. Dubickas}, Quaest. Math. 45, No. 9, 1449--1458 (2022; Zbl 1509.11097) Full Text: DOI
López, Josefina; Stoll, Peter The repetends of reduced fractions \(a/b^k\) approach full complexity with an increasing \(k\). (English) Zbl 1501.11080 Integers 22, Paper A75, 28 p. (2022). Reviewer: Manuel Hauke (Graz) MSC: 11K16 11A63 PDF BibTeX XML Cite \textit{J. López} and \textit{P. Stoll}, Integers 22, Paper A75, 28 p. (2022; Zbl 1501.11080) Full Text: arXiv Link
Zaïmi, Toufik On the zeros of the derivatives of certain polynomials. (English) Zbl 1514.11072 Mosc. J. Comb. Number Theory 11, No. 3, 205-214 (2022). Reviewer: Artūras Dubickas (Vilnius) MSC: 11R06 12D10 11C08 30C15 PDF BibTeX XML Cite \textit{T. Zaïmi}, Mosc. J. Comb. Number Theory 11, No. 3, 205--214 (2022; Zbl 1514.11072) Full Text: DOI
Takamizo, Fumichika; Yoshida, Masamichi Some class of cubic Pisot numbers with finiteness property. (English) Zbl 1509.11071 Tsukuba J. Math. 46, No. 1, 67-119 (2022). Reviewer: Wolfgang Steiner (Paris) MSC: 11K16 11A63 PDF BibTeX XML Cite \textit{F. Takamizo} and \textit{M. Yoshida}, Tsukuba J. Math. 46, No. 1, 67--119 (2022; Zbl 1509.11071) Full Text: DOI Link
Humphries, Peter; Radziwiłł, Maksym Optimal small scale equidistribution of lattice points on the sphere, Heegner points, and closed geodesics. (English) Zbl 1504.11084 Commun. Pure Appl. Math. 75, No. 9, 1936-1996 (2022). MSC: 11K16 11K36 11E12 PDF BibTeX XML Cite \textit{P. Humphries} and \textit{M. Radziwiłł}, Commun. Pure Appl. Math. 75, No. 9, 1936--1996 (2022; Zbl 1504.11084) Full Text: DOI arXiv
Masakova, Zuzana; Vavra, Tomas; Veneziano, Francesco Finiteness and periodicity of continued fractions over quadratic number fields. (English. French summary) Zbl 1503.11012 Bull. Soc. Math. Fr. 150, No. 1, 77-109 (2022). Reviewer: Takao Komatsu (Hangzhou) MSC: 11A55 11J70 11A63 PDF BibTeX XML Cite \textit{Z. Masakova} et al., Bull. Soc. Math. Fr. 150, No. 1, 77--109 (2022; Zbl 1503.11012) Full Text: DOI arXiv
Cangiotti, Nicolò; Sensi, Mattia Benford’s law: a number-theoretical perspective. (English) Zbl 1503.60015 Palest. J. Math. 11, No. 3, 379-385 (2022). MSC: 60E05 62E10 11K16 PDF BibTeX XML Cite \textit{N. Cangiotti} and \textit{M. Sensi}, Palest. J. Math. 11, No. 3, 379--385 (2022; Zbl 1503.60015) Full Text: Link
Airey, Dylan; Jackson, Steve; Mance, Bill Descriptive complexity in Cantor series. (English) Zbl 07576896 J. Symb. Log. 87, No. 3, 1023-1045 (2022). MSC: 03E15 11K16 11U99 PDF BibTeX XML Cite \textit{D. Airey} et al., J. Symb. Log. 87, No. 3, 1023--1045 (2022; Zbl 07576896) Full Text: DOI arXiv
Kaneko, Hajime; Kawashima, Makoto The digit exchanges in the rotational beta expansions of algebraic numbers. (English) Zbl 1509.11098 J. Number Theory 241, 430-449 (2022). Reviewer: Jan-Hendrik Evertse (Leiden) MSC: 11R06 PDF BibTeX XML Cite \textit{H. Kaneko} and \textit{M. Kawashima}, J. Number Theory 241, 430--449 (2022; Zbl 1509.11098) Full Text: DOI arXiv
Escolano, Giovanni B.; Mañibo, Neil; Miro, Eden Delight Mixing properties and entropy bounds of a family of Pisot random substitutions. (English) Zbl 1503.37065 Indag. Math., New Ser. 33, No. 5, 965-991 (2022). MSC: 37H12 37B10 37B40 PDF BibTeX XML Cite \textit{G. B. Escolano} et al., Indag. Math., New Ser. 33, No. 5, 965--991 (2022; Zbl 1503.37065) Full Text: DOI arXiv
Xiong, Ying; Zhao, Jiuzhou Equidistribution for measures defined by digit restrictions. (English) Zbl 1506.11103 Nonlinearity 35, No. 8, 4064-4084 (2022). MSC: 11K16 28A80 11K06 PDF BibTeX XML Cite \textit{Y. Xiong} and \textit{J. Zhao}, Nonlinearity 35, No. 8, 4064--4084 (2022; Zbl 1506.11103) Full Text: DOI
Varjú, Péter P.; Yu, Han Fourier decay of self-similar measures and self-similar sets of uniqueness. (English) Zbl 1507.11064 Anal. PDE 15, No. 3, 843-858 (2022). Reviewer: Jörg Neunhäuserer (Goslar) MSC: 11K16 11A63 28A80 42A16 PDF BibTeX XML Cite \textit{P. P. Varjú} and \textit{H. Yu}, Anal. PDE 15, No. 3, 843--858 (2022; Zbl 1507.11064) Full Text: DOI arXiv
Becher, Verónica; Madritsch, Manfred G. On a question of Mendès France on normal numbers. (English) Zbl 1494.11061 Acta Arith. 203, No. 3, 271-288 (2022). Reviewer: Takao Komatsu (Hangzhou) MSC: 11K16 11J70 PDF BibTeX XML Cite \textit{V. Becher} and \textit{M. G. Madritsch}, Acta Arith. 203, No. 3, 271--288 (2022; Zbl 1494.11061) Full Text: DOI arXiv
Nathanson, Melvyn B. Convergent series of integers with missing digits. (English) Zbl 1497.11022 Ramanujan J. 58, No. 2, 667-676 (2022). Reviewer: Amin Witno (Amman) MSC: 11A63 11B05 11B75 11K16 PDF BibTeX XML Cite \textit{M. B. Nathanson}, Ramanujan J. 58, No. 2, 667--676 (2022; Zbl 1497.11022) Full Text: DOI arXiv
Stylianou, Anastasios A typical number is extremely non-normal. (English) Zbl 1498.11164 Unif. Distrib. Theory 17, No. 1, 77-88 (2022). Reviewer: Simon Baker (Birmingham) MSC: 11K16 PDF BibTeX XML Cite \textit{A. Stylianou}, Unif. Distrib. Theory 17, No. 1, 77--88 (2022; Zbl 1498.11164) Full Text: DOI arXiv
Becher, Verónica Insertion in constructed normal numbers. (English) Zbl 1489.11107 Unif. Distrib. Theory 17, No. 1, 55-76 (2022). MSC: 11K16 05C45 68R15 PDF BibTeX XML Cite \textit{V. Becher}, Unif. Distrib. Theory 17, No. 1, 55--76 (2022; Zbl 1489.11107) Full Text: DOI arXiv
Bugeaud, Yann Fractional parts of powers of real algebraic numbers. (English) Zbl 1495.11084 C. R., Math., Acad. Sci. Paris 360, 459-466 (2022). Reviewer: István Pink (Debrecen) MSC: 11J68 11J86 11R06 PDF BibTeX XML Cite \textit{Y. Bugeaud}, C. R., Math., Acad. Sci. Paris 360, 459--466 (2022; Zbl 1495.11084) Full Text: DOI arXiv
Chen, Haibo; Wang, Yi; Xiao, Yu Metric properties about Banach averages and super simply normal numbers. (English) Zbl 1485.11120 J. Math. Anal. Appl. 513, No. 2, Article ID 126237, 16 p. (2022). MSC: 11K55 11K16 PDF BibTeX XML Cite \textit{H. Chen} et al., J. Math. Anal. Appl. 513, No. 2, Article ID 126237, 16 p. (2022; Zbl 1485.11120) Full Text: DOI
Jones, Lenny Monogenic Pisot and anti-Pisot polynomials. (English) Zbl 1483.11240 Taiwanese J. Math. 26, No. 2, 233-250 (2022). MSC: 11R06 12F05 11R09 PDF BibTeX XML Cite \textit{L. Jones}, Taiwanese J. Math. 26, No. 2, 233--250 (2022; Zbl 1483.11240) Full Text: DOI
Algom, Amir; Baker, Simon; Shmerkin, Pablo On normal numbers and self-similar measures. (English) Zbl 1490.11074 Adv. Math. 399, Article ID 108276, 17 p. (2022). Reviewer: Takao Komatsu (Hangzhou) MSC: 11K16 28A80 28D05 PDF BibTeX XML Cite \textit{A. Algom} et al., Adv. Math. 399, Article ID 108276, 17 p. (2022; Zbl 1490.11074) Full Text: DOI arXiv
Feng, Yan; Zhong, Wenmin On the relative growth rate of the product of consecutive partial quotients in continued fraction expansions of Laurent series. (English) Zbl 1483.11161 Finite Fields Appl. 79, Article ID 101998, 24 p. (2022). MSC: 11K55 11K16 28A78 PDF BibTeX XML Cite \textit{Y. Feng} and \textit{W. Zhong}, Finite Fields Appl. 79, Article ID 101998, 24 p. (2022; Zbl 1483.11161) Full Text: DOI
Airey, Dylan; Jackson, Steve; Mance, Bill Some complexity results in the theory of normal numbers. (English) Zbl 07473361 Can. J. Math. 74, No. 1, 170-198 (2022). MSC: 03E15 11K16 11U99 PDF BibTeX XML Cite \textit{D. Airey} et al., Can. J. Math. 74, No. 1, 170--198 (2022; Zbl 07473361) Full Text: DOI arXiv
Dubickas, Artūras Transcendency of some constants related to integer sequences of polynomial iterations. (English) Zbl 1485.11110 Ramanujan J. 57, No. 2, 569-581 (2022). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J81 11B37 11R06 PDF BibTeX XML Cite \textit{A. Dubickas}, Ramanujan J. 57, No. 2, 569--581 (2022; Zbl 1485.11110) Full Text: DOI
Akiyama, Shigeki; Kaneko, Hajime Corrigendum to: “Multiplicative analogue of Markoff-Lagrange spectrum and Pisot numbers”. (English) Zbl 1477.11124 Adv. Math. 394, Article ID 107996, 2 p. (2022). MSC: 11J06 11K16 68R15 PDF BibTeX XML Cite \textit{S. Akiyama} and \textit{H. Kaneko}, Adv. Math. 394, Article ID 107996, 2 p. (2022; Zbl 1477.11124) Full Text: DOI
Weitz, Edmund Hausdorff’s forgotten proof that almost all numbers are normal. (English) Zbl 1498.11165 Math. Semesterber. 68, No. 2, 273-282 (2021). MSC: 11K16 PDF BibTeX XML Cite \textit{E. Weitz}, Math. Semesterber. 68, No. 2, 273--282 (2021; Zbl 1498.11165) Full Text: DOI arXiv
Shieh, Narn-Rueih A normal number theorem for Brownian motion. (English) Zbl 1501.37052 Math. Res. Rep. (Amst.) 2, 15-20 (2021). MSC: 37H10 11K16 11K36 60G15 60G17 60J65 PDF BibTeX XML Cite \textit{N.-R. Shieh}, Math. Res. Rep. (Amst.) 2, 15--20 (2021; Zbl 1501.37052) Full Text: DOI
Yoshida, Masamichi; Takamizo, Fumichika Finite \(\beta \)-expansion and odometers. (English) Zbl 1514.11011 Tsukuba J. Math. 45, No. 2, 135-162 (2021). Reviewer: Wolfgang Steiner (Paris) MSC: 11A63 11K16 68Q45 PDF BibTeX XML Cite \textit{M. Yoshida} and \textit{F. Takamizo}, Tsukuba J. Math. 45, No. 2, 135--162 (2021; Zbl 1514.11011) Full Text: DOI
Zylber, Ariel From randomness in two symbols to randomness in three symbols. (English) Zbl 1484.11162 Unif. Distrib. Theory 16, No. 2, 109-128 (2021). MSC: 11K16 05A05 PDF BibTeX XML Cite \textit{A. Zylber}, Unif. Distrib. Theory 16, No. 2, 109--128 (2021; Zbl 1484.11162) Full Text: DOI arXiv
Brémont, Julien Self-similar measures and the Rajchman property. (Mesures autosimilaires et propriété de Rajchman.) (English. French summary) Zbl 1480.11094 Ann. Henri Lebesgue 4, 973-1004 (2021). MSC: 11K16 37A44 28A78 42A38 42A61 60K20 PDF BibTeX XML Cite \textit{J. Brémont}, Ann. Henri Lebesgue 4, 973--1004 (2021; Zbl 1480.11094) Full Text: DOI arXiv
Fang, Lulu; Liu, Jian On the largest partial quotients in continued fraction expansions. (English) Zbl 1483.11159 Fractals 29, No. 4, Article ID 2150099, 14 p. (2021). MSC: 11K50 11K16 11J70 PDF BibTeX XML Cite \textit{L. Fang} and \textit{J. Liu}, Fractals 29, No. 4, Article ID 2150099, 14 p. (2021; Zbl 1483.11159) Full Text: DOI
Kryvoshyia, R. V. On a generalization of the concept of normal numbers. (Ukrainian. English summary) Zbl 1488.11112 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2021, No. 2, 58-62 (2021). MSC: 11K06 11K16 11K55 PDF BibTeX XML Cite \textit{R. V. Kryvoshyia}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2021, No. 2, 58--62 (2021; Zbl 1488.11112) Full Text: DOI
Algom, Amir; Rodriguez Hertz, Federico; Wang, Zhiren Pointwise normality and Fourier decay for self-conformal measures. (English) Zbl 1484.42010 Adv. Math. 393, Article ID 108096, 72 p. (2021). MSC: 42A61 28A80 42A38 11K16 PDF BibTeX XML Cite \textit{A. Algom} et al., Adv. Math. 393, Article ID 108096, 72 p. (2021; Zbl 1484.42010) Full Text: DOI arXiv
Lutz, Jack H.; Mayordomo, Elvira Computing absolutely normal numbers in nearly linear time. (English) Zbl 1521.11085 Inf. Comput. 281, Article ID 104746, 12 p. (2021). MSC: 11Y16 11K16 68Q17 68W32 PDF BibTeX XML Cite \textit{J. H. Lutz} and \textit{E. Mayordomo}, Inf. Comput. 281, Article ID 104746, 12 p. (2021; Zbl 1521.11085) Full Text: DOI arXiv
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 PDF BibTeX XML Cite \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
Shutov, Anton Vladimirovich Generalized Rauzy tilings and linear recurrence sequences. (Russian. English summary) Zbl 1481.37020 Chebyshevskiĭ Sb. 22, No. 2(78), 313-333 (2021). MSC: 37B52 37B10 11K16 28A80 PDF BibTeX XML Cite \textit{A. V. Shutov}, Chebyshevskiĭ Sb. 22, No. 2(78), 313--333 (2021; Zbl 1481.37020) Full Text: MNR
Liao, Lingmin; Rams, Michał Normal sequences with given limits of multiple ergodic averages. (English) Zbl 1480.37012 Publ. Mat., Barc. 65, No. 1, 271-290 (2021). MSC: 37A30 37B40 37A44 28A80 11K16 PDF BibTeX XML Cite \textit{L. Liao} and \textit{M. Rams}, Publ. Mat., Barc. 65, No. 1, 271--290 (2021; Zbl 1480.37012) Full Text: DOI arXiv
Zaimi, Toufik On Salem numbers which are Mahler measures of nonreciprocal 2-Pisot numbers. (English) Zbl 1488.11166 Publ. Math. Debr. 98, No. 3-4, 467-474 (2021). Reviewer: Artūras Dubickas (Vilnius) MSC: 11R06 11R04 11R80 PDF BibTeX XML Cite \textit{T. Zaimi}, Publ. Math. Debr. 98, No. 3--4, 467--474 (2021; Zbl 1488.11166) Full Text: DOI
Tinkova, Magdalena Arithmetics in number systems with cubic base. (English) Zbl 1488.11020 Publ. Math. Debr. 99, No. 1-2, 25-50 (2021). Reviewer: James Hebda (St. Louis) MSC: 11A63 11K16 PDF BibTeX XML Cite \textit{M. Tinkova}, Publ. Math. Debr. 99, No. 1--2, 25--50 (2021; Zbl 1488.11020) Full Text: DOI arXiv
Hare, Kevin G.; Sidorov, Nikita Conjugates of Pisot numbers. (English) Zbl 1489.11108 Int. J. Number Theory 17, No. 6, 1307-1321 (2021). Reviewer: Simon Baker (Birmingham) MSC: 11K16 PDF BibTeX XML Cite \textit{K. G. Hare} and \textit{N. Sidorov}, Int. J. Number Theory 17, No. 6, 1307--1321 (2021; Zbl 1489.11108) Full Text: DOI arXiv
Charlier, Émilie; Cisternino, Célia Expansions in Cantor real bases. (English) Zbl 1484.11013 Monatsh. Math. 195, No. 4, 585-610 (2021). MSC: 11A63 11K16 68Q45 37B10 PDF BibTeX XML Cite \textit{É. Charlier} and \textit{C. Cisternino}, Monatsh. Math. 195, No. 4, 585--610 (2021; Zbl 1484.11013) Full Text: DOI arXiv
Algom, Amir Actions of diagonal endomorphisms on conformally invariant measures on the 2-torus. (English) Zbl 1478.11100 Monatsh. Math. 195, No. 4, 545-564 (2021). Reviewer: Lukas Spiegelhofer (Wien) MSC: 11K16 11A63 28A80 28D05 PDF BibTeX XML Cite \textit{A. Algom}, Monatsh. Math. 195, No. 4, 545--564 (2021; Zbl 1478.11100) Full Text: DOI arXiv
Zaïmi, Toufik Comments on Salem polynomials. (English) Zbl 1480.11135 Arch. Math. 117, No. 1, 41-51 (2021). Reviewer: François Brunault (Lyon) MSC: 11R06 12D10 11C08 30C15 PDF BibTeX XML Cite \textit{T. Zaïmi}, Arch. Math. 117, No. 1, 41--51 (2021; Zbl 1480.11135) Full Text: DOI
Vávra, Tomáš Periodic representations in Salem bases. (English) Zbl 1478.11131 Isr. J. Math. 242, No. 1, 83-95 (2021). Reviewer: Artūras Dubickas (Vilnius) MSC: 11R06 11K16 11A63 PDF BibTeX XML Cite \textit{T. Vávra}, Isr. J. Math. 242, No. 1, 83--95 (2021; Zbl 1478.11131) Full Text: DOI arXiv
Byars, Allison; Camrud, Evan; Harding, Steven N.; McCarty, Sarah; Sullivan, Keith; Weber, Eric S. Sampling and interpolation of cumulative distribution functions of Cantor sets in \([0,1]\). Appendix. (English) Zbl 1467.94017 Demonstr. Math. 54, 85-109 (2021). MSC: 94A20 28A80 26A30 11K16 11K55 PDF BibTeX XML Cite \textit{A. Byars} et al., Demonstr. Math. 54, 85--109 (2021; Zbl 1467.94017) Full Text: DOI
Ambrož, Petr; Masáková, Zuzana; Pelantová, Edita Lattice bounded distance equivalence for 1D Delone sets with finite local complexity. (English) Zbl 1515.11074 J. Geom. Symmetry Phys. 59, 1-29 (2021). MSC: 11K16 11K38 52C23 PDF BibTeX XML Cite \textit{P. Ambrož} et al., J. Geom. Symmetry Phys. 59, 1--29 (2021; Zbl 1515.11074) Full Text: DOI arXiv
Carton, Olivier; Vandehey, Joseph Preservation of normality by non-oblivious group selection. (English) Zbl 1477.68148 Theory Comput. Syst. 65, No. 2, 241-256 (2021). MSC: 68Q45 11K16 37B10 PDF BibTeX XML Cite \textit{O. Carton} and \textit{J. Vandehey}, Theory Comput. Syst. 65, No. 2, 241--256 (2021; Zbl 1477.68148) Full Text: DOI arXiv
Frączyk, Mikołaj Strong limit multiplicity for arithmetic hyperbolic surfaces and 3-manifolds. (English) Zbl 1473.30026 Invent. Math. 224, No. 3, 917-985 (2021). Reviewer: Ernesto Martínez (Madrid) MSC: 30F40 20H10 22E46 11K16 PDF BibTeX XML Cite \textit{M. Frączyk}, Invent. Math. 224, No. 3, 917--985 (2021; Zbl 1473.30026) Full Text: DOI arXiv
Barsky, Daniel; Muñoz, Vicente; Pérez-Marco, Ricardo On the genesis of BBP formulas. (English) Zbl 1476.11103 Acta Arith. 198, No. 4, 401-426 (2021). Reviewer: Christoph Aistleitner (Graz) MSC: 11K16 11J99 PDF BibTeX XML Cite \textit{D. Barsky} et al., Acta Arith. 198, No. 4, 401--426 (2021; Zbl 1476.11103) Full Text: DOI arXiv
Nathanson, Melvyn B. Dirichlet series of integers with missing digits. (English) Zbl 1469.11359 J. Number Theory 222, 30-37 (2021). MSC: 11M41 11A63 11B05 11K16 PDF BibTeX XML Cite \textit{M. B. Nathanson}, J. Number Theory 222, 30--37 (2021; Zbl 1469.11359) Full Text: DOI arXiv
Akiyama, Shigeki; Kaneko, Hajime Multiplicative analogue of Markoff-Lagrange spectrum and Pisot numbers. (English) Zbl 1466.11046 Adv. Math. 380, Article ID 107547, 40 p. (2021); corrigendum ibid. 394, Article ID 107996, 2 p. (2022). Reviewer: Anton Shutov (Vladimir) MSC: 11J06 11K16 68R15 PDF BibTeX XML Cite \textit{S. Akiyama} and \textit{H. Kaneko}, Adv. Math. 380, Article ID 107547, 40 p. (2021; Zbl 1466.11046) Full Text: DOI arXiv
Schweiger, Fritz Invariant measures for \(2\)-dimensional maps and associated Rényi maps. (English) Zbl 1464.11078 Integers 21, Paper A14, 16 p. (2021). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11K55 11J70 11K16 PDF BibTeX XML Cite \textit{F. Schweiger}, Integers 21, Paper A14, 16 p. (2021; Zbl 1464.11078) Full Text: Link
Hare, Kevin G.; Jankauskas, Jonas On Newman and Littlewood polynomials with a prescribed number of zeros inside the unit disk. (English) Zbl 1461.11141 Math. Comput. 90, No. 328, 831-870 (2021). Reviewer: Toufik Zaïmi (Riyadh) MSC: 11R06 11R09 12D10 11C08 11B83 65H04 PDF BibTeX XML Cite \textit{K. G. Hare} and \textit{J. Jankauskas}, Math. Comput. 90, No. 328, 831--870 (2021; Zbl 1461.11141) Full Text: DOI arXiv
Lengyel, Tamás Divisibility properties of some curiously defined sequences. (English) Zbl 1501.11023 J. Comb. Number Theory 12, No. 1, 35-49 (2020). MSC: 11B37 11B50 11K16 PDF BibTeX XML Cite \textit{T. Lengyel}, J. Comb. Number Theory 12, No. 1, 35--49 (2020; Zbl 1501.11023)
Kazemitabar, Jalil; Kazemitabar, Javad Measuring the conformity of distributions to Benford’s law. (English) Zbl 1511.60027 Commun. Stat., Theory Methods 49, No. 14, 3530-3536 (2020). MSC: 60E05 11K16 62E10 PDF BibTeX XML Cite \textit{J. Kazemitabar} and \textit{J. Kazemitabar}, Commun. Stat., Theory Methods 49, No. 14, 3530--3536 (2020; Zbl 1511.60027) Full Text: DOI
Bergelson, Vitaly; Downarowicz, Tomasz; Misiurewicz, Michał A fresh look at the notion of normality. (English) Zbl 1483.11154 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 21, Spec. Iss., 27-88 (2020). Reviewer: Lukas Spiegelhofer (Wien) MSC: 11K16 43A07 37A44 PDF BibTeX XML Cite \textit{V. Bergelson} et al., Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 21, 27--88 (2020; Zbl 1483.11154) 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 PDF BibTeX XML Cite \textit{L. Spiegelhofer}, Compos. Math. 156, No. 12, 2560--2587 (2020; Zbl 1468.11206) Full Text: DOI arXiv
Algom, Amir A simultaneous version of Host’s equidistribution theorem. (English) Zbl 1467.11069 Trans. Am. Math. Soc. 373, No. 12, 8439-8462 (2020). Reviewer: Jörg Neunhäuserer (Goslar) MSC: 11K16 11A63 28A80 28D05 PDF BibTeX XML Cite \textit{A. Algom}, Trans. Am. Math. Soc. 373, No. 12, 8439--8462 (2020; Zbl 1467.11069) Full Text: DOI arXiv
Zaïmi, Toufik Quartic Salem numbers which are Mahler measures of non-reciprocal 2-Pisot numbers. (English. French summary) Zbl 1461.11142 J. Théor. Nombres Bordx. 32, No. 3, 877-889 (2020). Reviewer: Artūras Dubickas (Vilnius) MSC: 11R06 11R80 11J71 PDF BibTeX XML Cite \textit{T. Zaïmi}, J. Théor. Nombres Bordx. 32, No. 3, 877--889 (2020; Zbl 1461.11142) Full Text: DOI
Pankau, Joshua Salem number stretch factors and totally real fields arising from Thurston’s construction. (English) Zbl 1459.11210 Geom. Topol. 24, No. 4, 1695-1716 (2020). Reviewer: Toufik Zaïmi (Riyadh) MSC: 11R06 37E30 11R80 57M99 PDF BibTeX XML Cite \textit{J. Pankau}, Geom. Topol. 24, No. 4, 1695--1716 (2020; Zbl 1459.11210) Full Text: DOI arXiv
Akiyama, Shigeki; Kaneko, Hajime; Kim, Dong Han Generic point equivalence and Pisot numbers. (English) Zbl 1467.37039 Ergodic Theory Dyn. Syst. 40, No. 12, 3169-3180 (2020). Reviewer: Wolfgang Steiner (Paris) MSC: 37E05 11K16 37A44 PDF BibTeX XML Cite \textit{S. Akiyama} et al., Ergodic Theory Dyn. Syst. 40, No. 12, 3169--3180 (2020; Zbl 1467.37039) Full Text: DOI arXiv
Zelenov, E. I. A note on decoherence and fractal Hamiltonians. (English) Zbl 1450.81049 Lobachevskii J. Math. 41, No. 4, 742-745 (2020). MSC: 81S22 35R11 11J17 PDF BibTeX XML Cite \textit{E. I. Zelenov}, Lobachevskii J. Math. 41, No. 4, 742--745 (2020; Zbl 1450.81049) Full Text: DOI arXiv
Carlson, Joshua; Goedhart, Eva G.; Harris, Pamela E. Sequences of consecutive factoradic happy numbers. (English) Zbl 1459.11020 Rocky Mt. J. Math. 50, No. 4, 1241-1252 (2020). MSC: 11A63 11K16 PDF BibTeX XML Cite \textit{J. Carlson} et al., Rocky Mt. J. Math. 50, No. 4, 1241--1252 (2020; Zbl 1459.11020) Full Text: DOI arXiv Euclid
Zaïmi, Toufik A remark on an algorithm for testing Pisot polynomials. (English) Zbl 1463.11096 Publ. Math. Debr. 96, No. 3-4, 423-426 (2020). Reviewer: Cornelius Greither (Neubiberg) MSC: 11C08 30C15 PDF BibTeX XML Cite \textit{T. Zaïmi}, Publ. Math. Debr. 96, No. 3--4, 423--426 (2020; Zbl 1463.11096) Full Text: DOI
Berthé, Valérie; Frougny, Christiane; Rigo, Michel; Sakarovitch, Jacques The carry propagation of the successor function. (English) Zbl 1484.11012 Adv. Appl. Math. 120, Article ID 102062, 54 p. (2020). Reviewer: Derong Kong (Chongqing) MSC: 11A63 11K16 37A46 37B10 68Q70 68R15 PDF BibTeX XML Cite \textit{V. Berthé} et al., Adv. Appl. Math. 120, Article ID 102062, 54 p. (2020; Zbl 1484.11012) Full Text: DOI arXiv
Tripathi, Amitabha Characterization and enumeration of palindromic numbers whose squares are also palindromic. (English) Zbl 1472.11050 Rocky Mt. J. Math. 50, No. 3, 1115-1124 (2020). MSC: 11A63 11K16 PDF BibTeX XML Cite \textit{A. Tripathi}, Rocky Mt. J. Math. 50, No. 3, 1115--1124 (2020; Zbl 1472.11050) Full Text: DOI Euclid
Fili, Paul A.; Pottmeyer, Lukas; Zhang, Mingming On the behavior of Mahler’s measure under iteration. (English) Zbl 1450.11110 Monatsh. Math. 193, No. 1, 61-86 (2020). Reviewer: Toufik Zaïmi (Riyadh) MSC: 11R06 11R04 11R09 11R16 PDF BibTeX XML Cite \textit{P. A. Fili} et al., Monatsh. Math. 193, No. 1, 61--86 (2020; Zbl 1450.11110) Full Text: DOI arXiv
Drmota, Michael; Mauduit, Christian; Rivat, Joël Prime numbers in two bases. (English) Zbl 1484.11016 Duke Math. J. 169, No. 10, 1809-1876 (2020). Reviewer: Wolfgang Steiner (Paris) MSC: 11A63 11K16 11N60 11L20 11N05 11L03 PDF BibTeX XML Cite \textit{M. Drmota} et al., Duke Math. J. 169, No. 10, 1809--1876 (2020; Zbl 1484.11016) Full Text: DOI Euclid
Álvarez, Nicolás; Carton, Olivier On normality in shifts of finite type. (English) Zbl 1458.37016 Theory Comput. Syst. 64, No. 5, 783-798 (2020). Reviewer: Andreas Maletti (Leipzig) MSC: 37B15 37B51 11K16 68Q45 68P30 PDF BibTeX XML Cite \textit{N. Álvarez} and \textit{O. Carton}, Theory Comput. Syst. 64, No. 5, 783--798 (2020; Zbl 1458.37016) Full Text: DOI arXiv
Ben Nasr, M.; Kthiri, H. Characterization of 2-Pisot elements in the field of Laurent series over a finite field. (English) Zbl 1453.11134 Math. Notes 107, No. 4, 552-558 (2020). MSC: 11R06 11R58 PDF BibTeX XML Cite \textit{M. Ben Nasr} and \textit{H. Kthiri}, Math. Notes 107, No. 4, 552--558 (2020; Zbl 1453.11134) Full Text: DOI
Airey, Dylan; Jackson, Steve; Kwietniak, Dominik; Mance, Bill Borel complexity of sets of normal numbers via generic points in subshifts with specification. (English) Zbl 1484.03088 Trans. Am. Math. Soc. 373, No. 7, 4561-4584 (2020). MSC: 03E15 11K16 11U99 PDF BibTeX XML Cite \textit{D. Airey} et al., Trans. Am. Math. Soc. 373, No. 7, 4561--4584 (2020; Zbl 1484.03088) Full Text: DOI arXiv
Dajani, Karma; de Lepper, Mathijs R.; Robinson, E. Arthur Introducing Minkowski normality. (English) Zbl 1436.11093 J. Number Theory 211, 455-476 (2020). Reviewer: Symon Serbenyuk (Kyiv) MSC: 11K16 11K50 26A30 PDF BibTeX XML Cite \textit{K. Dajani} et al., J. Number Theory 211, 455--476 (2020; Zbl 1436.11093) Full Text: DOI arXiv
Zaïmi, Toufik On the distribution of powers of a Gaussian Pisot number. (English) Zbl 1436.11128 Indag. Math., New Ser. 31, No. 1, 177-183 (2020). Reviewer: Artūras Dubickas (Vilnius) MSC: 11R06 11J71 PDF BibTeX XML Cite \textit{T. Zaïmi}, Indag. Math., New Ser. 31, No. 1, 177--183 (2020; Zbl 1436.11128) Full Text: DOI
Baker, Simon; Kong, Derong On the complexity of the set of codings for self-similar sets and a variation on the construction of Champernowne. (English) Zbl 1435.28008 Adv. Math. 360, Article ID 106934, 29 p. (2020). Reviewer: Symon Serbenyuk (Kyiv) MSC: 28A80 11K16 11K55 PDF BibTeX XML Cite \textit{S. Baker} and \textit{D. Kong}, Adv. Math. 360, Article ID 106934, 29 p. (2020; Zbl 1435.28008) Full Text: DOI arXiv
Dubickas, Arturas On the size of a restricted sumset with application to the binary expansion of \(\sqrt{d}\). (English) Zbl 1513.11020 Appl. Anal. Discrete Math. 13, No. 2, 346-360 (2019). MSC: 11B13 11K16 11K31 PDF BibTeX XML Cite \textit{A. Dubickas}, Appl. Anal. Discrete Math. 13, No. 2, 346--360 (2019; Zbl 1513.11020) Full Text: DOI
Gouadri, Marwa; Hbaib, Mohamed Transcendental continued \(\beta\)-fraction with quadratic Pisot basis over \(\mathbb F_q((x^{-1}))\). (English) Zbl 1499.11240 Filomat 33, No. 14, 4585-4591 (2019). MSC: 11J61 11J70 11J86 11R06 PDF BibTeX XML Cite \textit{M. Gouadri} and \textit{M. Hbaib}, Filomat 33, No. 14, 4585--4591 (2019; Zbl 1499.11240) Full Text: DOI
Ben Ammar, Mabrouk; Kthiri, Hassen Irreducibility criterion and 2-Pisot series in positive character. (English) Zbl 1499.11319 Publ. Inst. Math., Nouv. Sér. 105(119), 151-159 (2019). MSC: 11R06 11R04 11R09 PDF BibTeX XML Cite \textit{M. Ben Ammar} and \textit{H. Kthiri}, Publ. Inst. Math., Nouv. Sér. 105(119), 151--159 (2019; Zbl 1499.11319) Full Text: DOI
Becher, Verónica; Yuhjtman, Sergio A. On absolutely normal and continued fraction normal numbers. (English) Zbl 1479.11130 Int. Math. Res. Not. 2019, No. 19, 6136-6161 (2019). MSC: 11K16 11J70 PDF BibTeX XML Cite \textit{V. Becher} and \textit{S. A. Yuhjtman}, Int. Math. Res. Not. 2019, No. 19, 6136--6161 (2019; Zbl 1479.11130) Full Text: DOI arXiv Link
Ruankong, Pongpol; Sumetkijakan, Songkiat Chains of truncated beta distributions and Benford’s law. (English) Zbl 1474.60007 Unif. Distrib. Theory 14, No. 2, 27-32 (2019). MSC: 60A10 11K16 PDF BibTeX XML Cite \textit{P. Ruankong} and \textit{S. Sumetkijakan}, Unif. Distrib. Theory 14, No. 2, 27--32 (2019; Zbl 1474.60007) Full Text: DOI
Hofer, Roswitha; Suzuki, Kosuke A complete classification of digital \((0,m,3)\)-nets and digital \((0,2)\)-sequences in base 2. (English) Zbl 1469.11246 Unif. Distrib. Theory 14, No. 1, 43-52 (2019). MSC: 11K38 11K16 PDF BibTeX XML Cite \textit{R. Hofer} and \textit{K. Suzuki}, Unif. Distrib. Theory 14, No. 1, 43--52 (2019; Zbl 1469.11246) Full Text: DOI
Ohkubo, Yukio; Strauch, Oto Distribution of leading digits of numbers. II. (English) Zbl 1472.11213 Unif. Distrib. Theory 14, No. 1, 19-42 (2019). Reviewer: Mehdi Hassani (Zanjan) MSC: 11K06 11K16 11K38 PDF BibTeX XML Cite \textit{Y. Ohkubo} and \textit{O. Strauch}, Unif. Distrib. Theory 14, No. 1, 19--42 (2019; Zbl 1472.11213) Full Text: DOI