Campbell, J. M. The prime-counting Copeland-Erdős constant. (English) Zbl 07915654 Acta Math. Hung. 173, No. 1, 101-111 (2024). MSC: 11K16 11A63 × Cite Format Result Cite Review PDF Full Text: DOI
Hbaib, M.; Guidara, S.; Zouari, S. On the conjecture of Erdős, Joò and Komornik for \(p\)-adic numbers. (English) Zbl 07899210 Res. Number Theory 10, No. 3, Paper No. 71, 8 p. (2024). MSC: 11R06 11A67 11K16 37B50 × Cite Format Result Cite Review PDF Full Text: DOI
Grebennikov, Alexandr Multiplicities in the length spectrum and growth rate of Salem numbers. (English) Zbl 07874596 Bull. Braz. Math. Soc. (N.S.) 55, No. 2, Paper No. 25, 21 p. (2024). MSC: 11F06 11K16 20H10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Masáková, Zuzana; Pelantová, Edita Periodicity and pure periodicity in alternate base systems. (English) Zbl 07864520 Res. Number Theory 10, No. 3, Paper No. 55, 18 p. (2024). MSC: 11K16 11R06 11A63 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Kumar, Veekesh The transcendence of growth constants associated with polynomial recursions. (English) Zbl 07864373 Int. J. Number Theory 20, No. 5, 1373-1382 (2024). Reviewer: Artūras Dubickas (Vilnius) MSC: 11J68 11J81 11B37 11R06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dubickas, A. Numbers expressible as a difference of two Pisot numbers. (English) Zbl 07857902 Acta Math. Hung. 172, No. 2, 346-358 (2024). MSC: 11R04 11R06 11R32 × Cite Format Result Cite Review PDF Full Text: DOI
Takamizo, F. Finite beta-expansions of natural numbers. (English) Zbl 07829367 Acta Math. Hung. 172, No. 1, 223-254 (2024). Reviewer: Thomas B. Ward (Durham) MSC: 11K16 11A63 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hofer, Roswitha; Larcher, Gerhard The exact order of discrepancy for Levin’s normal number in base 2. (English. French summary) Zbl 07824615 J. Théor. Nombres Bordx. 35, No. 3, 999-1023 (2024). Reviewer: Peter Kritzer (Linz) MSC: 11K16 11K38 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Miyanohara, Eiji A note on non-periodic greedy expansions in Salem base. (English) Zbl 07801559 Res. Number Theory 10, No. 1, Paper No. 18, 6 p. (2024). Reviewer: Wolfgang Steiner (Paris) MSC: 11A63 11K16 11J72 × Cite Format Result Cite Review PDF Full Text: DOI
Gutierrez, Jaime Reconstructing points of superelliptic curves over a prime finite field. (English) Zbl 1539.11152 Adv. Math. Commun. 18, No. 1, 222-232 (2024). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11Y16 11K16 11H06 × Cite Format Result Cite Review PDF Full Text: DOI
Charlier, Émilie; Cisternino, Célia; Kreczman, Savinien On periodic alternate base expansions. (English) Zbl 1536.11120 J. Number Theory 254, 184-198 (2024). Reviewer: Artūras Dubickas (Vilnius) MSC: 11K16 11R06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gao, Xiang; Yip, Chi Hoi On the fractional parts of certain sequences of \(\xi \alpha^{n}\). arXiv:2408.02972 Preprint, arXiv:2408.02972 [math.NT] (2024). MSC: 11J71 28A80 11K16 37A45 42A38 × Cite Format Result Cite Full Text: arXiv OA License
Glunz, Henry Significant digits of primes in subsets. (English) Zbl 07856105 Integers 23, Paper A46, 7 p. (2023). MSC: 11A63 11K16 11R42 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Álvarez, Nicolás; Becher, Verónica; Mereb, Martín Poisson generic sequences. (English) Zbl 07805862 Int. Math. Res. Not. 2023, No. 24, 20970-20987 (2023). Reviewer: Takao Komatsu (Hangzhou) MSC: 11K16 11K55 60G55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Berthé, Valérie; Steiner, Wolfgang; Thuswaldner, Jörg M. Multidimensional continued fractions and symbolic codings of toral translations. (English) Zbl 1533.37040 J. Eur. Math. Soc. (JEMS) 25, No. 12, 4997-5057 (2023). MSC: 37B10 37A30 37A44 11J70 11K50 11A55 11Y65 28A80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Becher, Verónica; Marchionna, Agustín; Tenenbaum, Gérald On simply normal numbers with digit dependencies. (English) Zbl 1533.11144 Mathematika 69, No. 4, 988-991 (2023). Reviewer: Simon Baker (Loughborough) MSC: 11K16 11N60 11N56 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kátai, Imre Some old and new problems on arithmetical functions. (English) Zbl 1538.11001 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 55, 133-150 (2023). MSC: 11-02 00A27 11A25 11N05 11N25 11N64 11D61 11E45 11K16 11A07 × Cite Format Result Cite Review PDF Full Text: Link
Dubickas, Artūras Every Salem number is a difference of two Pisot numbers. (English) Zbl 1530.11083 Proc. Edinb. Math. Soc., II. Ser. 66, No. 3, 862-867 (2023). Reviewer: Toufik Zaïmi (Riyadh) MSC: 11R06 11J72 × Cite Format Result Cite Review PDF Full Text: DOI
Akiyama, Shigeki; Hichri, Hachem Periodic expansion of one by Salem numbers. (English) Zbl 1531.37027 Ergodic Theory Dyn. Syst. 43, No. 9, 2841-2862 (2023). Reviewer: Christoph Aistleitner (Graz) MSC: 37E05 37E45 11K16 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Miyanohara, E. An arithmetical property of the real numbers generated by Thue-Morse sequence along squares. (English) Zbl 1538.11083 Acta Math. Hung. 170, No. 1, 430-435 (2023). Reviewer: Ranjeet Sehmi (Chandigarh) MSC: 11B85 11J72 × Cite Format Result Cite Review PDF Full Text: DOI
Charlier, Émilie Alternate base numeration systems. (English) Zbl 1536.11022 Frid, Anna (ed.) et al., Combinatorics on words. 14th international conference, WORDS 2023, Umeå, Sweden, June 12–16, 2023. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 13899, 14-34 (2023). MSC: 11A67 37B45 68Q45 × Cite Format Result Cite Review PDF Full Text: DOI
Koshkin, Sergiy; Rodriguez, Daniel Linear recurrent cryptography: golden-like cryptography for higher order linear recurrences. (English) Zbl 1534.94091 Discrete Math. Algorithms Appl. 15, No. 3, Article ID 2250094, 27 p. (2023). MSC: 94A60 11B37 11T71 94B25 15B36 15B48 11K16 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Charlier, Émilie; Cisternino, Célia; Masáková, Zuzana; Pelantová, Edita Spectrum, algebraicity and normalization in alternate bases. (English) Zbl 1523.11135 J. Number Theory 249, 470-499 (2023). Reviewer: Jean-Paul Allouche (Paris) MSC: 11K16 11R06 37B10 68Q45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kumar, Veekesh; Thangadurai, R. On simultaneous approximation of algebraic numbers. (English) Zbl 1534.11091 Mathematika 68, No. 4, 1153-1175 (2022). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J68 11J87 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI Link 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Masakova, Zuzana; Vavra, Tomas; Veneziano, Francesco Finiteness and periodicity of continued fractions over quadratic number fields. (Finitude et périodicité des fractions continues sur des corps de nombres quadratiques.) (English. French summary) Zbl 1503.11012 Bull. Soc. Math. Fr. 150, No. 1, 77-109 (2022). Reviewer: Takao Komatsu (Hangzhou) MSC: 11A55 11J70 11A63 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Airey, Dylan; Jackson, Steve; Mance, Bill Descriptive complexity in Cantor series. (English) Zbl 1531.03082 J. Symb. Log. 87, No. 3, 1023-1045 (2022). MSC: 03E15 11K16 11U99 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
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 × Cite Format Result Cite Review PDF Full Text: DOI OA License
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jackson, Steve; Mance, Bill; Vandehey, Joseph On the Borel complexity of continued fraction normal, absolutely abnormal numbers. arXiv:2111.11522 Preprint, arXiv:2111.11522 [math.NT] (2021). MSC: 11K16 03E15 11K50 26A21 11U99 × Cite Format Result Cite Full Text: arXiv OA License
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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI OA License
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 × Cite Format Result Cite Review PDF
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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF
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 × Cite Format Result Cite Review PDF
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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI Link