Hbaib, M.; Guidara, S.; Zouari, S. On the conjecture of Erdős, Joò and Komornik for \(p\)-adic numbers. (English) Zbl 07899210 Res. Number Theory 10, No. 3, Paper No. 71, 8 p. (2024). MSC: 11R06 11A67 11K16 37B50 PDFBibTeX XMLCite \textit{M. Hbaib} et al., Res. Number Theory 10, No. 3, Paper No. 71, 8 p. (2024; Zbl 07899210) Full Text: DOI
Fang, Xinyu; Miller, Steven J.; Sun, Maxwell; Verga, Amanda Benford’s law and random integer decomposition with congruence stopping condition. (English) Zbl 07894723 J. Number Theory 264, 307-356 (2024). MSC: 11K06 11K16 60E05 PDFBibTeX XMLCite \textit{X. Fang} et al., J. Number Theory 264, 307--356 (2024; Zbl 07894723) Full Text: DOI
Pollicott, Mark; Slipantschuk, Julia Effective estimates of ergodic quantities illustrated on the Bolyai-Rényi map. (English) Zbl 07892744 Nonlinearity 37, No. 9, Article ID 095013, 19 p. (2024). MSC: 37M25 28D20 11K16 PDFBibTeX XMLCite \textit{M. Pollicott} and \textit{J. Slipantschuk}, Nonlinearity 37, No. 9, Article ID 095013, 19 p. (2024; Zbl 07892744) Full Text: DOI arXiv OA License
Kaneko, Hajime; Steiner, Wolfgang Markoff-Lagrange spectrum of one-sided shifts. (English) Zbl 07890746 Mathematika 70, No. 3, Article ID e12250, 13 p. (2024). MSC: 11J06 37B10 11A63 11K16 PDFBibTeX XMLCite \textit{H. Kaneko} and \textit{W. Steiner}, Mathematika 70, No. 3, Article ID e12250, 13 p. (2024; Zbl 07890746) Full Text: DOI arXiv OA License
Shutov, A. V. On numbers with fixed last digits of linear recurrent base expansion. (Russian. English summary) Zbl 07879501 Dal’nevost. Mat. Zh. 24, No. 1, 141-150 (2024). MSC: 11B37 11A63 11K16 PDFBibTeX XMLCite \textit{A. V. Shutov}, Dal'nevost. Mat. Zh. 24, No. 1, 141--150 (2024; Zbl 07879501) Full Text: DOI MNR
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 PDFBibTeX XMLCite \textit{A. Grebennikov}, Bull. Braz. Math. Soc. (N.S.) 55, No. 2, Paper No. 25, 21 p. (2024; Zbl 07874596) Full Text: DOI arXiv
Weiß, Christian On the \(n\)-point correlation of van der Corput sequences. (English) Zbl 07873469 Bull. Aust. Math. Soc. 109, No. 3, 471-475 (2024). MSC: 11K16 11K38 62H20 PDFBibTeX XMLCite \textit{C. Weiß}, Bull. Aust. Math. Soc. 109, No. 3, 471--475 (2024; Zbl 07873469) 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 PDFBibTeX XMLCite \textit{Z. Masáková} and \textit{E. Pelantová}, Res. Number Theory 10, No. 3, Paper No. 55, 18 p. (2024; Zbl 07864520) 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 PDFBibTeX XMLCite \textit{V. Kumar}, Int. J. Number Theory 20, No. 5, 1373--1382 (2024; Zbl 07864373) 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 PDFBibTeX XMLCite \textit{A. Dubickas}, Acta Math. Hung. 172, No. 2, 346--358 (2024; Zbl 07857902) 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 PDFBibTeX XMLCite \textit{F. Takamizo}, Acta Math. Hung. 172, No. 1, 223--254 (2024; Zbl 07829367) 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 PDFBibTeX XMLCite \textit{R. Hofer} and \textit{G. Larcher}, J. Théor. Nombres Bordx. 35, No. 3, 999--1023 (2024; Zbl 07824615) Full Text: DOI arXiv
Tomaszewski, Jakub Borel complexity of the set of typical numbers. (English) Zbl 07815893 Topology Appl. 345, Article ID 108836, 12 p. (2024). MSC: 03E15 28A05 11A63 11K16 PDFBibTeX XMLCite \textit{J. Tomaszewski}, Topology Appl. 345, Article ID 108836, 12 p. (2024; Zbl 07815893) 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 PDFBibTeX XMLCite \textit{E. Miyanohara}, Res. Number Theory 10, No. 1, Paper No. 18, 6 p. (2024; Zbl 07801559) Full Text: DOI
Feng, Yan; Shi, Saisai; Zhang, Yuan Metrical properties for the weighted sums of degrees of multiple partial quotients in continued fractions of Laurent series. (English) Zbl 07784993 Finite Fields Appl. 93, Article ID 102317, 27 p. (2024). Reviewer: Lukas Spiegelhofer (Leoben) MSC: 11K16 11K55 28A78 PDFBibTeX XMLCite \textit{Y. Feng} et al., Finite Fields Appl. 93, Article ID 102317, 27 p. (2024; Zbl 07784993) 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 PDFBibTeX XMLCite \textit{J. Gutierrez}, Adv. Math. Commun. 18, No. 1, 222--232 (2024; Zbl 1539.11152) Full Text: DOI
Leclerc, Gaétan On oscillatory integrals with Hölder phases. (English) Zbl 1531.42031 Discrete Contin. Dyn. Syst. 44, No. 1, 263-280 (2024). MSC: 42B20 11M36 11K16 PDFBibTeX XMLCite \textit{G. Leclerc}, Discrete Contin. Dyn. Syst. 44, No. 1, 263--280 (2024; Zbl 1531.42031) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{É. Charlier} et al., J. Number Theory 254, 184--198 (2024; Zbl 1536.11120) Full Text: DOI arXiv
Pramanik, Malabika; Zhang, Junqiang Measures supported on partly normal numbers. arXiv:2408.03473 Preprint, arXiv:2408.03473 [math.CA] (2024). MSC: 42A63 28A78 11K16 42A38 28A80 11K36 BibTeX Cite \textit{M. Pramanik} and \textit{J. Zhang}, ``Measures supported on partly normal numbers'', Preprint, arXiv:2408.03473 [math.CA] (2024) Full Text: arXiv OA License
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 BibTeX Cite \textit{X. Gao} and \textit{C. H. Yip}, ``On the fractional parts of certain sequences of $\xi \alpha^{n}$'', Preprint, arXiv:2408.02972 [math.NT] (2024) Full Text: arXiv OA License
Becher, Verónica; Graus, Nicole The discrepancy of the Champernowne constant. arXiv:2407.13114 Preprint, arXiv:2407.13114 [math.NT] (2024). MSC: 11K16 BibTeX Cite \textit{V. Becher} and \textit{N. Graus}, ``The discrepancy of the Champernowne constant'', Preprint, arXiv:2407.13114 [math.NT] (2024) Full Text: arXiv OA License
Timperi, Kalle G.; LaValle, Alexander J.; LaValle, Steven M. Universal Plans: One Action Sequence to Solve Them All! arXiv:2407.02090 Preprint, arXiv:2407.02090 [cs.RO] (2024). MSC: 68R10 11K16 51-08 11K45 BibTeX Cite \textit{K. G. Timperi} et al., ``Universal Plans: One Action Sequence to Solve Them All!'', Preprint, arXiv:2407.02090 [cs.RO] (2024) Full Text: arXiv OA License
Becher, Verónica; Tropea, Tomás Lyndon pairs and the lexicographically greatest perfect necklace. arXiv:2405.17812 Preprint, arXiv:2405.17812 [math.CO] (2024). MSC: 68R15 05A05 11K16 BibTeX Cite \textit{V. Becher} and \textit{T. Tropea}, ``Lyndon pairs and the lexicographically greatest perfect necklace'', Preprint, arXiv:2405.17812 [math.CO] (2024) Full Text: arXiv OA License
Berthé, Valérie; Yassawi, Reem Meyer sets, Pisot numbers, and self-similarity in symbolic dynamical systems. arXiv:2404.04116 Preprint, arXiv:2404.04116 [math.DS] (2024). MSC: 37B10 37B52 37A05 52C23 37E05 11K16 42A32 43A45 68R15 03D80 11R06 BibTeX Cite \textit{V. Berthé} and \textit{R. Yassawi}, ``Meyer sets, Pisot numbers, and self-similarity in symbolic dynamical systems'', Preprint, arXiv:2404.04116 [math.DS] (2024) Full Text: arXiv OA License
Sac-Épée, Jean-Marc Small degree Salem numbers with trace -3. arXiv:2404.03288 Preprint, arXiv:2404.03288 [math.NT] (2024). MSC: 11K16 BibTeX Cite \textit{J.-M. Sac-Épée}, ``Small degree Salem numbers with trace -3'', Preprint, arXiv:2404.03288 [math.NT] (2024) Full Text: arXiv OA License
Pramanik, Malabika; Zhang, Junqiang On odd-normal numbers. arXiv:2403.01358 Preprint, arXiv:2403.01358 [math.CA] (2024). MSC: 42A63 28A78 11K16 BibTeX Cite \textit{M. Pramanik} and \textit{J. Zhang}, ``On odd-normal numbers'', Preprint, arXiv:2403.01358 [math.CA] (2024) Full Text: arXiv OA License
Boonstra, Aafko; Kalle, Charlene Constructions of normal numbers with infinitely many digits. arXiv:2402.14500 Preprint, arXiv:2402.14500 [math.NT] (2024). MSC: 11K16 11A63 05C05 BibTeX Cite \textit{A. Boonstra} and \textit{C. Kalle}, ``Constructions of normal numbers with infinitely many digits'', Preprint, arXiv:2402.14500 [math.NT] (2024) Full Text: arXiv OA License
Accossato, Federico; Sanna, Carlo On the number of residues of certain second-order linear recurrences. arXiv:2401.07661 Preprint, arXiv:2401.07661 [math.NT] (2024). MSC: 11B37 11B39 11B50 11K16 BibTeX Cite \textit{F. Accossato} and \textit{C. Sanna}, ``On the number of residues of certain second-order linear recurrences'', Preprint, arXiv:2401.07661 [math.NT] (2024) Full Text: arXiv OA License
Verger-Gaugry, Jean-Louis A Non-Trivial Minoration for the Set of Salem Numbers. arXiv:2401.05843 Preprint, arXiv:2401.05843 [math.NT] (2024). MSC: 11K16 11M41 11R06 11R09 30B10 30B40 37C30 37N99 03D45 BibTeX Cite \textit{J.-L. Verger-Gaugry}, ``A Non-Trivial Minoration for the Set of Salem Numbers'', Preprint, arXiv:2401.05843 [math.NT] (2024) Full Text: arXiv OA License
Masáková, Zuzana; Pelantová, Edita Midy’s Theorem in non-integer bases and divisibility of Fibonacci numbers. arXiv:2401.03874 Preprint, arXiv:2401.03874 [math.NT] (2024). MSC: 11A63 11B39 11A07 11K16 BibTeX Cite \textit{Z. Masáková} and \textit{E. Pelantová}, ``Midy's Theorem in non-integer bases and divisibility of Fibonacci numbers'', Preprint, arXiv:2401.03874 [math.NT] (2024) Full Text: DOI 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 PDFBibTeX XMLCite \textit{H. Glunz}, Integers 23, Paper A46, 7 p. (2023; Zbl 07856105) Full Text: arXiv Link
Tavazoei, Mohammad Saleh Pisot-number-based discrete-time controllers with integer state matrices to ensure monotonic closed-loop step responses. (English) Zbl 07811060 IEEE Trans. Autom. Control 68, No. 12, 8238-8243 (2023). MSC: 93-XX PDFBibTeX XMLCite \textit{M. S. Tavazoei}, IEEE Trans. Autom. Control 68, No. 12, 8238--8243 (2023; Zbl 07811060) Full Text: DOI
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 PDFBibTeX XMLCite \textit{N. Álvarez} et al., Int. Math. Res. Not. 2023, No. 24, 20970--20987 (2023; Zbl 07805862) Full Text: DOI arXiv Link
Kthiri, Hassen The smallest \(2\)-Pisot numbers in \(\mathbb{F}_q ((X^{-1}))\) where \(q\) is different from the power of \(2\). (English) Zbl 1528.11112 Taiwanese J. Math. 27, No. 5, 833-845 (2023). MSC: 11R06 11R04 11R09 11A55 11D45 11D72 11J61 PDFBibTeX XMLCite \textit{H. Kthiri}, Taiwanese J. Math. 27, No. 5, 833--845 (2023; Zbl 1528.11112) Full Text: DOI
Moroz, Mykola Normal properties of numbers in terms of their representation by the Perron series. (English) Zbl 1528.11064 Ukr. Math. J. 75, No. 7, 1052-1066 (2023) and Ukr. Mat. Zh. 75, No. 7, 920-932 (2023). MSC: 11K16 11K55 PDFBibTeX XMLCite \textit{M. Moroz}, Ukr. Math. J. 75, No. 7, 1052--1066 (2023; Zbl 1528.11064) Full Text: DOI
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 PDFBibTeX XMLCite \textit{V. Becher} et al., Mathematika 69, No. 4, 988--991 (2023; Zbl 1533.11144) Full Text: DOI arXiv
McNew, Nathan; Pollack, Paul; Roy, Akash Singha Intermediate prime factors in specified subsets. (English) Zbl 1536.11020 Monatsh. Math. 202, No. 4, 837-855 (2023). Reviewer: Lukas Spiegelhofer (Leoben) MSC: 11A63 11K16 11N37 PDFBibTeX XMLCite \textit{N. McNew} et al., Monatsh. Math. 202, No. 4, 837--855 (2023; Zbl 1536.11020) Full Text: DOI
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 PDFBibTeX XMLCite \textit{I. Kátai}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 55, 133--150 (2023; Zbl 1538.11001) 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 PDFBibTeX XMLCite \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 1530.11083 Proc. Edinb. Math. Soc., II. Ser. 66, No. 3, 862-867 (2023). Reviewer: Toufik Zaïmi (Riyadh) MSC: 11R06 11J72 PDFBibTeX XMLCite \textit{A. Dubickas}, Proc. Edinb. Math. Soc., II. Ser. 66, No. 3, 862--867 (2023; Zbl 1530.11083) 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 PDFBibTeX XMLCite \textit{S. Akiyama} and \textit{H. Hichri}, Ergodic Theory Dyn. Syst. 43, No. 9, 2841--2862 (2023; Zbl 1531.37027) Full Text: DOI arXiv
Charlier, Émilie Alternate base numeration systems. (English) Zbl 1536.11022 Frid, Anna (ed.) et al., Combinatorics on words. 14th international conference, WORDS 2023, Umeå, Sweden, June 12–16, 2023. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 13899, 14-34 (2023). MSC: 11A67 37B45 68Q45 PDFBibTeX XMLCite \textit{É. Charlier}, Lect. Notes Comput. Sci. 13899, 14--34 (2023; Zbl 1536.11022) Full Text: DOI
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 PDFBibTeX XMLCite \textit{S. Koshkin} and \textit{D. Rodriguez}, Discrete Math. Algorithms Appl. 15, No. 3, Article ID 2250094, 27 p. (2023; Zbl 1534.94091) Full Text: DOI arXiv
Hofer, Roswitha; Larcher, Gerhard Discrepancy bounds for normal numbers generated by necklaces in arbitrary base. (English) Zbl 1526.11043 J. Complexity 78, Article ID 101767, 26 p. (2023). Reviewer: Anton Shutov (Vladimir) MSC: 11K16 11K38 PDFBibTeX XMLCite \textit{R. Hofer} and \textit{G. Larcher}, J. Complexity 78, Article ID 101767, 26 p. (2023; Zbl 1526.11043) Full Text: DOI arXiv OA License
Chang, Sungkon Unlikely leading digits of powers of 2. (English) Zbl 1526.11003 Elem. Math. 78, No. 2, 77-81 (2023). Reviewer: Takao Komatsu (Hangzhou) MSC: 11A63 11K16 11A55 PDFBibTeX XMLCite \textit{S. Chang}, Elem. Math. 78, No. 2, 77--81 (2023; Zbl 1526.11003) Full Text: DOI
Aveni, Andrea; Leonetti, Paolo Most numbers are not normal. (English) Zbl 1526.11042 Math. Proc. Camb. Philos. Soc. 175, No. 1, 1-11 (2023). Reviewer: Takao Komatsu (Hangzhou) MSC: 11K16 40A35 11A63 PDFBibTeX XMLCite \textit{A. Aveni} and \textit{P. Leonetti}, Math. Proc. Camb. Philos. Soc. 175, No. 1, 1--11 (2023; Zbl 1526.11042) 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 PDFBibTeX XMLCite \textit{R. Kellerhals} and \textit{L. Liechti}, Transform. Groups 28, No. 2, 831--852 (2023; Zbl 1517.20064) Full Text: DOI arXiv OA License
De Saxcé, Nicolas \(\times 2\) and \(\times 3\) invariant sets. (Ensembles invariants par \(\times 2\) et \(\times 3\).) (French) Zbl 1537.11106 Gaz. Math., Soc. Math. Fr. 175, 25-34 (2023). Reviewer: Manfred G. Madritsch (Vandœuvre-lès-Nancy) MSC: 11K16 11A63 28A80 28D05 37C45 PDFBibTeX XMLCite \textit{N. De Saxcé}, Gaz. Math., Soc. Math. Fr. 175, 25--34 (2023; Zbl 1537.11106)
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 PDFBibTeX XMLCite \textit{É. Charlier} et al., J. Number Theory 249, 470--499 (2023; Zbl 1523.11135) Full Text: DOI arXiv Link
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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \textit{S. Kristensen} and \textit{O. Mathiasen}, J. Number Theory 244, 251--263 (2023; Zbl 1509.11070) 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 PDFBibTeX XMLCite \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
Kanado, Yuya; Saito, Kota The simple normality of the fractional powers of two and the Riemann zeta function. arXiv:2312.13943 Preprint, arXiv:2312.13943 [math.NT] (2023). MSC: 11K16 11M06 BibTeX Cite \textit{Y. Kanado} and \textit{K. Saito}, ``The simple normality of the fractional powers of two and the Riemann zeta function'', Preprint, arXiv:2312.13943 [math.NT] (2023) Full Text: arXiv OA License
Charlier, Emilie; Cisternino, Célia; Masáková, Zuzana; Pelantová, Edita Substitutions and Cantor real numeration systems. arXiv:2312.13767 Preprint, arXiv:2312.13767 [math.CO] (2023). MSC: 11K16 11R06 37B10 68Q45 BibTeX Cite \textit{E. Charlier} et al., ``Substitutions and Cantor real numeration systems'', Preprint, arXiv:2312.13767 [math.CO] (2023) Full Text: arXiv OA License
Calvert, Wesley; Grunner, Emma; Mayordomo, Elvira; Turetsky, Daniel; Villano, Java Darleen Normality, Relativization, and Randomness. arXiv:2312.10204 Preprint, arXiv:2312.10204 [math.LO] (2023). MSC: 03D32 11K16 BibTeX Cite \textit{W. Calvert} et al., ``Normality, Relativization, and Randomness'', Preprint, arXiv:2312.10204 [math.LO] (2023) Full Text: arXiv OA License
García-Ramos, Felipe; Robert, Gerardo González; Hussain, Mumtaz Transcendence and normality of complex numbers via Hurwitz continued fractions. arXiv:2310.20029 Preprint, arXiv:2310.20029 [math.NT] (2023). MSC: 11J70 03E15 11J81 11K16 BibTeX Cite \textit{F. García-Ramos} et al., ``Transcendence and normality of complex numbers via Hurwitz continued fractions'', Preprint, arXiv:2310.20029 [math.NT] (2023) Full Text: arXiv OA License
Campbell, John M. The prime-counting Copeland-Erdős constant. arXiv:2309.13520 Preprint, arXiv:2309.13520 [math.NT] (2023). MSC: 11K16 BibTeX Cite \textit{J. M. Campbell}, ``The prime-counting Copeland-Erdős constant'', Preprint, arXiv:2309.13520 [math.NT] (2023) Full Text: arXiv OA License
Spiegelhofer, Lukas Thue–Morse along the sequence of cubes. arXiv:2308.09498 Preprint, arXiv:2308.09498 [math.NT] (2023). MSC: 11A63 11K16 05A16 BibTeX Cite \textit{L. Spiegelhofer}, ``Thue--Morse along the sequence of cubes'', Preprint, arXiv:2308.09498 [math.NT] (2023) Full Text: arXiv OA License
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 PDFBibTeX XMLCite \textit{V. Kumar} and \textit{R. Thangadurai}, Mathematika 68, No. 4, 1153--1175 (2022; Zbl 1534.11091) 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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \textit{F. Takamizo} and \textit{M. Yoshida}, Tsukuba J. Math. 46, No. 1, 67--119 (2022; Zbl 1509.11071) 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 PDFBibTeX XMLCite \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. (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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 1531.03082 J. Symb. Log. 87, No. 3, 1023-1045 (2022). MSC: 03E15 11K16 11U99 PDFBibTeX XMLCite \textit{D. Airey} et al., J. Symb. Log. 87, No. 3, 1023--1045 (2022; Zbl 1531.03082) 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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \textit{A. Stylianou}, Unif. Distrib. Theory 17, No. 1, 77--88 (2022; Zbl 1498.11164) Full Text: DOI arXiv OA License
Becher, Verónica Insertion in constructed normal numbers. (English) Zbl 1489.11107 Unif. Distrib. Theory 17, No. 1, 55-76 (2022). MSC: 11K16 05C45 68R15 PDFBibTeX XMLCite \textit{V. Becher}, Unif. Distrib. Theory 17, No. 1, 55--76 (2022; Zbl 1489.11107) Full Text: DOI arXiv OA License
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 PDFBibTeX XMLCite \textit{Y. Bugeaud}, C. R., Math., Acad. Sci. Paris 360, 459--466 (2022; Zbl 1495.11084) 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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \textit{A. Algom} et al., Adv. Math. 399, Article ID 108276, 17 p. (2022; Zbl 1490.11074) Full Text: DOI arXiv OA License
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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \textit{S. Akiyama} and \textit{H. Kaneko}, Adv. Math. 394, Article ID 107996, 2 p. (2022; Zbl 1477.11124) Full Text: DOI
Nillsen, Rodney Sums Associated with Orbits in the Binary Dynamical System. arXiv:2204.09249 Preprint, arXiv:2204.09249 [math.DS] (2022). MSC: 11K16 37E05 BibTeX Cite \textit{R. Nillsen}, ``Sums Associated with Orbits in the Binary Dynamical System'', Preprint, arXiv:2204.09249 [math.DS] (2022) Full Text: arXiv OA License
Akiyama, Shigeki; Kamae, Teturo; Kaneko, Hajime Exponential Diophantine approximation and symbolic dynamics. arXiv:2204.10510 Preprint, arXiv:2204.10510 [math.NT] (2022). MSC: 11J06 37B10 11J54 11K16 BibTeX Cite \textit{S. Akiyama} et al., ``Exponential Diophantine approximation and symbolic dynamics'', Preprint, arXiv:2204.10510 [math.NT] (2022) Full Text: arXiv OA License
Abrams, Adam; Downarowicz, Tomasz Destruction of CPE-normality along deterministic sequences. arXiv:2202.02662 Preprint, arXiv:2202.02662 [math.DS] (2022). MSC: 11A55 11K16 37B10 BibTeX Cite \textit{A. Abrams} and \textit{T. Downarowicz}, ``Destruction of CPE-normality along deterministic sequences'', Preprint, arXiv:2202.02662 [math.DS] (2022) Full Text: arXiv OA License
Cisternino, Célia Combinatorial properties of lazy expansions in Cantor real bases. arXiv:2202.00437 Preprint, arXiv:2202.00437 [math.CO] (2022). MSC: 11A63 11K16 37B10 68Q45 BibTeX Cite \textit{C. Cisternino}, ``Combinatorial properties of lazy expansions in Cantor real bases'', Preprint, arXiv:2202.00437 [math.CO] (2022) Full Text: arXiv OA License
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 PDFBibTeX XMLCite \textit{E. Weitz}, Math. Semesterber. 68, No. 2, 273--282 (2021; Zbl 1498.11165) Full Text: DOI arXiv OA License
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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \textit{A. Zylber}, Unif. Distrib. Theory 16, No. 2, 109--128 (2021; Zbl 1484.11162) 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 PDFBibTeX XMLCite \textit{J. Brémont}, Ann. Henri Lebesgue 4, 973--1004 (2021; Zbl 1480.11094) Full Text: DOI arXiv OA License
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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 OA License
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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \textit{J. H. Lutz} and \textit{E. Mayordomo}, Inf. Comput. 281, Article ID 104746, 12 p. (2021; Zbl 1521.11085) 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 PDFBibTeX XMLCite \textit{D. Dutykh} and \textit{J.-L. Verger-Gaugry}, Res. Number Theory 7, No. 4, Paper No. 64, 18 p. (2021; Zbl 1483.11015) Full Text: DOI arXiv HAL
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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \textit{L. Liao} and \textit{M. Rams}, Publ. Mat., Barc. 65, No. 1, 271--290 (2021; Zbl 1480.37012) Full Text: DOI arXiv