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
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
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
Miyanohara, E. An arithmetical property of the real numbers generated by Thue-Morse sequence along squares. (English) Zbl 07722716 Acta Math. Hung. 170, No. 1, 430-435 (2023). MSC: 11B85 11J72 PDF BibTeX XML Cite \textit{E. Miyanohara}, Acta Math. Hung. 170, No. 1, 430--435 (2023; Zbl 07722716) 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
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
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
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
Dobrovol’skii, N. M.; Dobrovol’skii, N. N. About minimal polynomial of residual fractions for algebraic irrationalities. (English. Russian original) Zbl 1517.11088 Dokl. Math. 106, Part Suppl. 2, S165-S180 (2022); translation from Chebyshevskiĭ Sb. 16, No. 3(55), 147-182 (2015). MSC: 11J72 11J70 11A55 PDF BibTeX XML Cite \textit{N. M. Dobrovol'skii} and \textit{N. N. Dobrovol'skii}, Dokl. Math. 106, Part Suppl. 2, S165--S180 (2022; Zbl 1517.11088); translation from Chebyshevskiĭ Sb. 16, No. 3(55), 147--182 (2015) Full Text: DOI
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
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
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
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
Fu, Yan-Song; Zhu, Meng Spectra of symmetric self-similar measures as multipliers in \(L^p\). (English) Zbl 1497.42013 J. Geom. Anal. 32, No. 8, Paper No. 217, 28 p. (2022). Reviewer: Alexander Ulanovskii (Stavanger) MSC: 42A38 42B15 28A80 47B38 PDF BibTeX XML Cite \textit{Y.-S. Fu} and \textit{M. Zhu}, J. Geom. Anal. 32, No. 8, Paper No. 217, 28 p. (2022; Zbl 1497.42013) Full Text: DOI
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
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
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
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
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
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
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
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
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
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 PDF BibTeX XML Cite \textit{É. Charlier} et al., Adv. Appl. Math. 125, Article ID 102151, 22 p. (2021; Zbl 1506.11016) Full Text: DOI arXiv
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
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
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
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
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
Mercat, Paul Rauzy fractal of the smallest substitution associated with the smallest Pisot number. (English) Zbl 1441.28010 Exp. Math. 29, No. 2, 163-182 (2020). MSC: 28A80 37B10 37F20 68R15 PDF BibTeX XML Cite \textit{P. Mercat}, Exp. Math. 29, No. 2, 163--182 (2020; Zbl 1441.28010) Full Text: DOI
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
De Koninck, Jean-Marie; Kátai, Imre Partitioning the set of primes to create \(r\)-sequences which are uniformly distributed modulo \([0,1)^r\). (English) Zbl 1480.11095 Unif. Distrib. Theory 14, No. 1, 11-18 (2019). Reviewer: Wolfgang Steiner (Paris) MSC: 11K16 11J71 PDF BibTeX XML Cite \textit{J.-M. De Koninck} and \textit{I. Kátai}, Unif. Distrib. Theory 14, No. 1, 11--18 (2019; Zbl 1480.11095) Full Text: DOI
Albers, Casper \(\pi\) estimated using probability theory. (Dutch) Zbl 1475.11222 Nieuw Arch. Wiskd. (5) 20, No. 4, 275-276 (2019). Reviewer: Robert W. van der Waall (Huizen) MSC: 11Y60 00A08 11A63 11K16 11K31 PDF BibTeX XML Cite \textit{C. Albers}, Nieuw Arch. Wiskd. (5) 20, No. 4, 275--276 (2019; Zbl 1475.11222)
Avila, Artur; Delecroix, Vincent Some monoids of Pisot matrices. (English) Zbl 1445.15016 Pacifico, Maria José (ed.) et al., New trends in one-dimensional dynamics. Proceedings of the meeting on new trends in one-dimensional dynamics, IMPA, Rio de Janeiro, Brasil, November 14–17, 2016. In honour of Welington de Melo’s 70th birthday. Cham: Springer. Springer Proc. Math. Stat. 285, 21-30 (2019). MSC: 15A60 37A44 37A30 PDF BibTeX XML Cite \textit{A. Avila} and \textit{V. Delecroix}, Springer Proc. Math. Stat. 285, 21--30 (2019; Zbl 1445.15016) Full Text: DOI arXiv
Vandehey, Joseph Towards a sharp converse of Wall’s theorem on arithmetic progressions. (English) Zbl 1439.11182 Pac. J. Math. 300, No. 2, 499-509 (2019). Reviewer: Manfred G. Madritsch (Vandœuvre) MSC: 11K16 11A63 PDF BibTeX XML Cite \textit{J. Vandehey}, Pac. J. Math. 300, No. 2, 499--509 (2019; Zbl 1439.11182) Full Text: DOI arXiv
de la Bretèche, Régis; Stoll, Thomas; Tenenbaum, Gérald Sum of digits and change of base. (Somme des chiffres et changement de base.) (French. English summary) Zbl 1455.11018 Ann. Inst. Fourier 69, No. 6, 2507-2518 (2019). Reviewer: Wolfgang Steiner (Paris) MSC: 11A63 11K16 11K60 11J82 PDF BibTeX XML Cite \textit{R. de la Bretèche} et al., Ann. Inst. Fourier 69, No. 6, 2507--2518 (2019; Zbl 1455.11018) Full Text: DOI arXiv
Lamzouri, Youness; Martin, Bruno On the race between primes with an odd versus an even sum of the last \(k\) binary digits. (English) Zbl 1469.11371 Funct. Approximatio, Comment. Math. 61, No. 1, 7-25 (2019). MSC: 11N13 11A63 11K16 11N37 PDF BibTeX XML Cite \textit{Y. Lamzouri} and \textit{B. Martin}, Funct. Approximatio, Comment. Math. 61, No. 1, 7--25 (2019; Zbl 1469.11371) Full Text: DOI Euclid
Becher, Verónica; Carton, Olivier Normal numbers and nested perfect necklaces. (English) Zbl 1419.11099 J. Complexity 54, Article ID 101403, 12 p. (2019). MSC: 11K16 05A05 11K38 65C10 65Y20 68R15 PDF BibTeX XML Cite \textit{V. Becher} and \textit{O. Carton}, J. Complexity 54, Article ID 101403, 12 p. (2019; Zbl 1419.11099) Full Text: DOI arXiv
Hu, Tian-You; Lau, Ka-Sing Limiting behavior of infinite products scaled by Pisot numbers. (English) Zbl 1417.42007 J. Fourier Anal. Appl. 25, No. 4, 1695-1707 (2019). MSC: 42A38 11R06 11B37 PDF BibTeX XML Cite \textit{T.-Y. Hu} and \textit{K.-S. Lau}, J. Fourier Anal. Appl. 25, No. 4, 1695--1707 (2019; Zbl 1417.42007) Full Text: DOI
Bruin, Henk; Carminati, Carlo; Marmi, Stefano; Profeti, Alessandro Matching in a family of piecewise affine maps. (English) Zbl 1408.37066 Nonlinearity 32, No. 1, 172-208 (2019). MSC: 37E05 37E10 11J70 11A55 11K16 11K50 11R06 37E45 37A45 PDF BibTeX XML Cite \textit{H. Bruin} et al., Nonlinearity 32, No. 1, 172--208 (2019; Zbl 1408.37066) Full Text: DOI arXiv
Kala, Vítězslav; Vávra, Tomáš Periodic representations in algebraic bases. (English) Zbl 1466.11004 Monatsh. Math. 188, No. 1, 109-119 (2019). Reviewer: Amin Witno (Amman) MSC: 11A63 11K16 11R06 PDF BibTeX XML Cite \textit{V. Kala} and \textit{T. Vávra}, Monatsh. Math. 188, No. 1, 109--119 (2019; Zbl 1466.11004) Full Text: DOI arXiv
Frougny, Ch.; Pelantová, E. Two applications of the spectrum of numbers. (English) Zbl 1424.11107 Acta Math. Hung. 156, No. 2, 391-407 (2018). Reviewer: Chryssoula Ganatsiou (Larissa) MSC: 11K16 68Q45 PDF BibTeX XML Cite \textit{Ch. Frougny} and \textit{E. Pelantová}, Acta Math. Hung. 156, No. 2, 391--407 (2018; Zbl 1424.11107) Full Text: DOI arXiv
Becher, Verónica; Carton, Olivier Normal numbers and computer science. (English) Zbl 1407.11091 Berthé, Valérie (ed.) et al., Sequences, groups, and number theory. Cham: Birkhäuser. Trends Math., 233-269 (2018). MSC: 11K16 11A63 11-02 PDF BibTeX XML Cite \textit{V. Becher} and \textit{O. Carton}, in: Sequences, groups, and number theory. Cham: Birkhäuser. 233--269 (2018; Zbl 1407.11091) Full Text: DOI
Madritsch, Manfred G.; Scheerer, Adrian-Maria; Tichy, Robert F. Computable absolutely Pisot normal numbers. (English) Zbl 1406.11074 Acta Arith. 184, No. 1, 7-29 (2018). Reviewer: Takao Komatsu (Hangzhou) MSC: 11K16 11Y16 PDF BibTeX XML Cite \textit{M. G. Madritsch} et al., Acta Arith. 184, No. 1, 7--29 (2018; Zbl 1406.11074) Full Text: DOI arXiv
Hare, Kevin G.; Masáková, Zuzana; Vávra, Tomáš On the spectra of Pisot-cyclotomic numbers. (English) Zbl 1395.52026 Lett. Math. Phys. 108, No. 7, 1729-1756 (2018). MSC: 52C23 11K16 11A63 PDF BibTeX XML Cite \textit{K. G. Hare} et al., Lett. Math. Phys. 108, No. 7, 1729--1756 (2018; Zbl 1395.52026) Full Text: DOI arXiv
Vávra, T.; Veneziano, F. Pisot unit generators in number fields. (English) Zbl 1398.11160 J. Symb. Comput. 89, 94-108 (2018). MSC: 11Y40 11R06 11R27 PDF BibTeX XML Cite \textit{T. Vávra} and \textit{F. Veneziano}, J. Symb. Comput. 89, 94--108 (2018; Zbl 1398.11160) Full Text: DOI arXiv
Barge, Marcy The Pisot conjecture for \(\beta\)-substitutions. (English) Zbl 1457.37025 Ergodic Theory Dyn. Syst. 38, No. 2, 444-472 (2018). MSC: 37B52 37B10 37A44 PDF BibTeX XML Cite \textit{M. Barge}, Ergodic Theory Dyn. Syst. 38, No. 2, 444--472 (2018; Zbl 1457.37025) Full Text: DOI arXiv
Mérai, László; Winterhof, Arne On the \(N\)th linear complexity of automatic sequences. (English) Zbl 1416.11042 J. Number Theory 187, 415-429 (2018). Reviewer: John H. Loxton (Greenwich, NSW) MSC: 11B85 11A55 11K16 11Y16 PDF BibTeX XML Cite \textit{L. Mérai} and \textit{A. Winterhof}, J. Number Theory 187, 415--429 (2018; Zbl 1416.11042) Full Text: DOI arXiv
Hejda, Tomáš; Steiner, Wolfgang Beta-expansions of rational numbers in quadratic Pisot bases. (English) Zbl 1434.11145 Acta Arith. 183, No. 1, 35-51 (2018). Reviewer: Amin Witno (Amman) MSC: 11K16 11R06 37B10 PDF BibTeX XML Cite \textit{T. Hejda} and \textit{W. Steiner}, Acta Arith. 183, No. 1, 35--51 (2018; Zbl 1434.11145) Full Text: DOI arXiv
Šíma, Jiří; Savický, Petr Quasi-periodic \(\beta\)-expansions and cut languages. (English) Zbl 1388.68180 Theor. Comput. Sci. 720, 1-23 (2018). MSC: 68Q45 11K16 PDF BibTeX XML Cite \textit{J. Šíma} and \textit{P. Savický}, Theor. Comput. Sci. 720, 1--23 (2018; Zbl 1388.68180) Full Text: DOI
Maia, Bruno Melo The beta-transformation’s companion map for Pisot or Salem numbers and their periodic orbits. (English) Zbl 1384.37014 Dyn. Syst. 33, No. 1, 1-9 (2018). Reviewer: Christoph Aistleitner (Graz) MSC: 37A45 37P35 37C15 11K16 PDF BibTeX XML Cite \textit{B. M. Maia}, Dyn. Syst. 33, No. 1, 1--9 (2018; Zbl 1384.37014) Full Text: DOI Link
Drungilas, P.; Jankauskas, J.; Šiurys, J. On Littlewood and Newman polynomial multiples of Borwein polynomials. (English) Zbl 1390.11122 Math. Comput. 87, No. 311, 1523-1541 (2018). Reviewer: Artūras Dubickas (Vilnius) MSC: 11R09 11Y16 12D05 11R06 PDF BibTeX XML Cite \textit{P. Drungilas} et al., Math. Comput. 87, No. 311, 1523--1541 (2018; Zbl 1390.11122) Full Text: DOI arXiv
Dubickas, Artūras; Sha, Min; Shparlinski, Igor E. On distances in lattices from algebraic number fields. (English) Zbl 1433.11083 Mosc. Math. J. 17, No. 2, 239-268 (2017). MSC: 11H06 11R04 11R06 11R09 PDF BibTeX XML Cite \textit{A. Dubickas} et al., Mosc. Math. J. 17, No. 2, 239--268 (2017; Zbl 1433.11083) Full Text: arXiv Link
Fujii, Michihiko; Satoh, Takao The geodesic growth series for pure Artin groups of dihedral type. (English) Zbl 1388.20053 RIMS Kôkyûroku Bessatsu B66, 133-146 (2017). MSC: 20F36 20F05 20F10 PDF BibTeX XML Cite \textit{M. Fujii} and \textit{T. Satoh}, RIMS Kôkyûroku Bessatsu B66, 133--146 (2017; Zbl 1388.20053)
De Koninck, Jean-Marie; Kátai, Imre Normal numbers in generalized number systems in euclidean spaces. (English) Zbl 1399.11126 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 46, 15-25 (2017). MSC: 11K16 11A67 PDF BibTeX XML Cite \textit{J.-M. De Koninck} and \textit{I. Kátai}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 46, 15--25 (2017; Zbl 1399.11126)
de Amo, Enrique; Díaz Carrillo, Manuel; Fernández-Sánchez, Juan Pisot numbers and strong negations. (English) Zbl 1380.11006 Chaos Solitons Fractals 104, 61-67 (2017). MSC: 11A63 28E10 28D05 PDF BibTeX XML Cite \textit{E. de Amo} et al., Chaos Solitons Fractals 104, 61--67 (2017; Zbl 1380.11006) Full Text: DOI
Hajime, Kaneko Algebraic independence of the values of power series with unbounded coefficients. (English) Zbl 1432.11098 Ark. Mat. 55, No. 1, 61-87 (2017). MSC: 11J91 11K16 11K60 11J85 PDF BibTeX XML Cite \textit{K. Hajime}, Ark. Mat. 55, No. 1, 61--87 (2017; Zbl 1432.11098) Full Text: DOI
Zhuravlev, V. G. Simplex-module algorithm for expansion of algebraic numbers in multidimensional continued fractions. (English. Russian original) Zbl 1412.11084 J. Math. Sci., New York 225, No. 6, 924-949 (2017); translation from Zap. Nauchn. Semin. POMI 449, 130-167 (2016). MSC: 11K16 11J70 11K55 11Y40 PDF BibTeX XML Cite \textit{V. G. Zhuravlev}, J. Math. Sci., New York 225, No. 6, 924--949 (2017; Zbl 1412.11084); translation from Zap. Nauchn. Semin. POMI 449, 130--167 (2016) Full Text: DOI
Aistleitner, Christoph; Becher, Verónica; Scheerer, Adrian-Maria; Slaman, Theodore A. On the construction of absolutely normal numbers. (English) Zbl 1429.11133 Acta Arith. 180, No. 4, 333-346 (2017). MSC: 11K16 11Y16 68-04 PDF BibTeX XML Cite \textit{C. Aistleitner} et al., Acta Arith. 180, No. 4, 333--346 (2017; Zbl 1429.11133) Full Text: DOI arXiv Link
Vandehey, Joseph Non-trivial matrix actions preserve normality for continued fractions. (English) Zbl 1381.11060 Compos. Math. 153, No. 2, 274-293 (2017). Reviewer: Peter Bundschuh (Köln) MSC: 11K16 11A55 37A45 PDF BibTeX XML Cite \textit{J. Vandehey}, Compos. Math. 153, No. 2, 274--293 (2017; Zbl 1381.11060) Full Text: DOI arXiv
Baxa, Ch. Book review of: P. Kritzer (ed.) et al., Uniform distribution and quasi-Monte Carlo methods. Discrepancy, integration and applications. (English) Zbl 1378.00011 Monatsh. Math. 183, No. 4, 723 (2017). MSC: 00A17 11-06 11K38 11K06 11K45 11K16 11K36 11N05 11N60 65C05 91G60 00B25 PDF BibTeX XML Cite \textit{Ch. Baxa}, Monatsh. Math. 183, No. 4, 723 (2017; Zbl 1378.00011) Full Text: DOI
Bailey, David H.; Borwein, Jonathan M.; Brent, Richard P.; Reisi, Mohsen Reproducibility in computational science: A case study: randomness of the digits of pi. (English) Zbl 1426.11133 Exp. Math. 26, No. 3, 298-305 (2017). MSC: 11Y16 11K16 11K45 PDF BibTeX XML Cite \textit{D. H. Bailey} et al., Exp. Math. 26, No. 3, 298--305 (2017; Zbl 1426.11133) Full Text: DOI
Zhuravleva, Victoria V. Periodic sequences modulo 1 and Pisot numbers. (English. Russian original) Zbl 1435.11091 Math. Notes 101, No. 4, 741-745 (2017); translation from Mat. Zametki 101, No. 4, 630-634 (2017). Reviewer: Artūras Dubickas (Vilnius) MSC: 11J68 11J71 11K16 PDF BibTeX XML Cite \textit{V. V. Zhuravleva}, Math. Notes 101, No. 4, 741--745 (2017; Zbl 1435.11091); translation from Mat. Zametki 101, No. 4, 630--634 (2017) Full Text: DOI MNR
Baxa, Ch. Book review of: P. Kritzer (ed.) et al., Uniform distribution and quasi-Monte Carlo methods. Discrepancy, integration and applications. (English) Zbl 1369.00012 Monatsh. Math. 183, No. 2, 393 (2017). MSC: 00A17 11-06 11K38 11K06 11K45 11K16 11K36 11N05 11N60 65C05 91G60 00B25 PDF BibTeX XML Cite \textit{Ch. Baxa}, Monatsh. Math. 183, No. 2, 393 (2017; Zbl 1369.00012) Full Text: DOI
Scheerer, Adrian-Maria Computable absolutely normal numbers and discrepancies. (English) Zbl 1431.11095 Math. Comput. 86, No. 308, 2911-2926 (2017). MSC: 11K16 11Y16 PDF BibTeX XML Cite \textit{A.-M. Scheerer}, Math. Comput. 86, No. 308, 2911--2926 (2017; Zbl 1431.11095) Full Text: DOI arXiv
Scheerer, Adrian-Maria Normality in Pisot numeration systems. (English) Zbl 1368.11074 Ergodic Theory Dyn. Syst. 37, No. 2, 664-672 (2017). Reviewer: Peter Bundschuh (Köln) MSC: 11K16 11A63 37A45 PDF BibTeX XML Cite \textit{A.-M. Scheerer}, Ergodic Theory Dyn. Syst. 37, No. 2, 664--672 (2017; Zbl 1368.11074) Full Text: DOI arXiv
Akiyama, Shigeki; Caalim, Jonathan Rotational beta expansion: ergodicity and soficness. (English) Zbl 1379.37010 J. Math. Soc. Japan 69, No. 1, 397-415 (2017). Reviewer: Simon Baker (Coventry) MSC: 37A45 37B10 37E05 11K16 PDF BibTeX XML Cite \textit{S. Akiyama} and \textit{J. Caalim}, J. Math. Soc. Japan 69, No. 1, 397--415 (2017; Zbl 1379.37010) Full Text: DOI arXiv Euclid
Akiyama, Shigeki; Caalim, Jonathan Invariant measure of rotational beta expansion and Tarski’s Plank problem. (English) Zbl 1365.37003 Discrete Comput. Geom. 57, No. 2, 357-370 (2017). Reviewer: Christoph Aistleitner (Graz) MSC: 37A05 11K16 37A45 37B10 52C07 PDF BibTeX XML Cite \textit{S. Akiyama} and \textit{J. Caalim}, Discrete Comput. Geom. 57, No. 2, 357--370 (2017; Zbl 1365.37003) Full Text: DOI arXiv
Pethỏ, Attila; Varga, Péter Canonical number systems over imaginary quadratic Euclidean domains. (English) Zbl 1420.11018 Colloq. Math. 146, No. 2, 165-186 (2017). MSC: 11A63 11K16 PDF BibTeX XML Cite \textit{A. Pethỏ} and \textit{P. Varga}, Colloq. Math. 146, No. 2, 165--186 (2017; Zbl 1420.11018) Full Text: DOI Link
Bruin, Henk; Carminati, Carlo; Kalle, Charlene Matching for generalised \(\beta\)-transformations. (English) Zbl 1360.37096 Indag. Math., New Ser. 28, No. 1, 55-73 (2017). Reviewer: Christoph Aistleitner (Graz) MSC: 37E05 11K16 11K55 PDF BibTeX XML Cite \textit{H. Bruin} et al., Indag. Math., New Ser. 28, No. 1, 55--73 (2017; Zbl 1360.37096) Full Text: DOI arXiv
Dubickas, Artūras; Hare, Kevin G.; Jankauskas, Jonas No two non-real conjugates of a Pisot number have the same imaginary part. (English) Zbl 1361.11062 Math. Comput. 86, No. 304, 935-950 (2017). Reviewer: David W. Boyd (Vancouver) MSC: 11R06 11R09 11Y16 PDF BibTeX XML Cite \textit{A. Dubickas} et al., Math. Comput. 86, No. 304, 935--950 (2017; Zbl 1361.11062) Full Text: DOI Link
Einsiedler, Manfred; Ward, Tom Diophantine problems and homogeneous dynamics. (English) Zbl 1412.37001 Badziahin, Dzmitry (ed.) et al., Dynamics and analytic number theory. Proceedings of the Durham Easter School, Durham, UK, March 31 – April 4, 2014. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 437, 258-288 (2016). Reviewer: Christoph Aistleitner (Graz) MSC: 37-02 37A45 37A17 11K16 11P21 11J99 PDF BibTeX XML Cite \textit{M. Einsiedler} and \textit{T. Ward}, Lond. Math. Soc. Lect. Note Ser. 437, 258--288 (2016; Zbl 1412.37001) Full Text: DOI
Thomas, Alain Sofic measures and densities of level sets. (English) Zbl 1451.11114 Unif. Distrib. Theory 11, No. 2, 91-124 (2016). MSC: 11P99 11A63 28A78 PDF BibTeX XML Cite \textit{A. Thomas}, Unif. Distrib. Theory 11, No. 2, 91--124 (2016; Zbl 1451.11114) Full Text: DOI arXiv Link
Berthé, Valérie \(S\)-adic expansions related to continued fractions. (English) Zbl 1372.37024 RIMS Kôkyûroku Bessatsu B58, 61-84 (2016). MSC: 37B10 37A45 11K50 11A55 68R15 PDF BibTeX XML Cite \textit{V. Berthé}, RIMS Kôkyûroku Bessatsu B58, 61--84 (2016; Zbl 1372.37024)
Dobrovol’skii, N. M.; Balaba, I. N.; Rebrova, I. Yu.; Dobrovol’skii, N. N. On Lagrange algorithm for reduced algebraic irrationalities. (English) Zbl 1354.11050 Bul. Acad. Ştiinţe Repub. Mold., Mat. 2016, No. 2(81), 27-39 (2016). MSC: 11J72 11K16 PDF BibTeX XML Cite \textit{N. M. Dobrovol'skii} et al., Bul. Acad. Științe Repub. Mold., Mat. 2016, No. 2(81), 27--39 (2016; Zbl 1354.11050) Full Text: Link
Polley, Ronny; Staiger, Ludwig Quasiperiods, subword complexity and the smallest Pisot number. (English) Zbl 1359.68243 J. Autom. Lang. Comb. 21, No. 1-2, 93-106 (2016). Reviewer: Anton Černý (Safat) MSC: 68R15 11K16 PDF BibTeX XML Cite \textit{R. Polley} and \textit{L. Staiger}, J. Autom. Lang. Comb. 21, No. 1--2, 93--106 (2016; Zbl 1359.68243) Full Text: DOI
Ohkubo, Yukio; Strauch, Oto Distribution of leading digits of numbers. (English) Zbl 1363.11074 Unif. Distrib. Theory 11, No. 1, 23-45 (2016). Reviewer: Jana Fialová (Trnava) MSC: 11K06 11K16 PDF BibTeX XML Cite \textit{Y. Ohkubo} and \textit{O. Strauch}, Unif. Distrib. Theory 11, No. 1, 23--45 (2016; Zbl 1363.11074) Full Text: DOI
Verger-Gaugry, Jean-Louis On the conjecture of Lehmer, limit Mahler measure of trinomials and asymptotic expansions. (English) Zbl 1455.11143 Unif. Distrib. Theory 11, No. 1, 79-139 (2016). MSC: 11R06 11R09 11K16 11K38 30B10 30C15 PDF BibTeX XML Cite \textit{J.-L. Verger-Gaugry}, Unif. Distrib. Theory 11, No. 1, 79--139 (2016; Zbl 1455.11143) Full Text: DOI
Coons, Michael; Hussain, Mumtaz; Wang, Bao-Wei A dichotomy law for the diophantine properties in \(\beta\)-dynamical systems. (English) Zbl 1396.11101 Mathematika 62, No. 3, 884-897 (2016). Reviewer: Simon Kristensen (Aarhus) MSC: 11J83 11K16 11K55 11K60 PDF BibTeX XML Cite \textit{M. Coons} et al., Mathematika 62, No. 3, 884--897 (2016; Zbl 1396.11101) Full Text: DOI arXiv
Berthé, Valérie; Bourdon, Jérémie; Jolivet, Timo; Siegel, Anne A combinatorial approach to products of Pisot substitutions. (English) Zbl 1378.37036 Ergodic Theory Dyn. Syst. 36, No. 6, 1757-1794 (2016). MSC: 37B50 37B10 28A80 37A45 11K16 52C22 PDF BibTeX XML Cite \textit{V. Berthé} et al., Ergodic Theory Dyn. Syst. 36, No. 6, 1757--1794 (2016; Zbl 1378.37036) Full Text: DOI arXiv
Akiyama, Shigeki Strong coincidence and overlap coincidence. (English) Zbl 1351.52025 Discrete Contin. Dyn. Syst. 36, No. 10, 5223-5230 (2016). MSC: 52C23 37B50 11K16 PDF BibTeX XML Cite \textit{S. Akiyama}, Discrete Contin. Dyn. Syst. 36, No. 10, 5223--5230 (2016; Zbl 1351.52025) Full Text: DOI arXiv
Hariz, S. Ben; Hbaib, M.; Mahjoub, F. Purely periodic \(\beta \)-expansions with Pisot or Salem unit base in \(\mathbb F_q((X^{-1}))\). (English) Zbl 1347.11077 Math. Z. 283, No. 3-4, 679-684 (2016). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R06 13F25 11T99 13J05 37B50 PDF BibTeX XML Cite \textit{S. B. Hariz} et al., Math. Z. 283, No. 3--4, 679--684 (2016; Zbl 1347.11077) Full Text: DOI
Airey, Dylan; Mance, Bill; Vandehey, Joseph Normal number constructions for Cantor series with slowly growing bases. (English) Zbl 1389.11108 Czech. Math. J. 66, No. 2, 465-480 (2016). Reviewer: Robert F. Tichy (Graz) MSC: 11K16 11A63 PDF BibTeX XML Cite \textit{D. Airey} et al., Czech. Math. J. 66, No. 2, 465--480 (2016; Zbl 1389.11108) Full Text: DOI arXiv Link
Akiyama, Shigeki A family of non-sofic beta expansions. (English) Zbl 1355.37017 Ergodic Theory Dyn. Syst. 36, No. 2, 343-354 (2016). MSC: 37A45 11A67 11K16 PDF BibTeX XML Cite \textit{S. Akiyama}, Ergodic Theory Dyn. Syst. 36, No. 2, 343--354 (2016; Zbl 1355.37017) Full Text: DOI arXiv
Stankov, Dragan On the distribution modulo 1 of the sum of powers of a Salem number. (Sur la répartition modulo 1 de la somme des puissances d’un nombre de Salem.) (English. French summary) Zbl 1336.11054 C. R., Math., Acad. Sci. Paris 354, No. 6, 569-576 (2016). Reviewer: Florian Pausinger (Garching) MSC: 11K06 11K16 PDF BibTeX XML Cite \textit{D. Stankov}, C. R., Math., Acad. Sci. Paris 354, No. 6, 569--576 (2016; Zbl 1336.11054) Full Text: DOI arXiv