Zhang, Xinyun; Zhong, Wenmin Exact Diophantine approximation of real numbers by \(\beta\)-expansions. (English) Zbl 07896606 Discrete Contin. Dyn. Syst. 44, No. 9, 2684-2696 (2024). Reviewer: Takao Komatsu (Hangzhou) MSC: 11K55 28A80 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{W. Zhong}, Discrete Contin. Dyn. Syst. 44, No. 9, 2684--2696 (2024; Zbl 07896606) Full Text: DOI
Li, Rao; Lü, Fan; Zhou, Li Run-length function of the Bolyai-Rényi expansion of real numbers. (English) Zbl 07893382 Czech. Math. J. 74, No. 1, 319-335 (2024). MSC: 11K55 28A80 PDFBibTeX XMLCite \textit{R. Li} et al., Czech. Math. J. 74, No. 1, 319--335 (2024; Zbl 07893382) Full Text: DOI
Kim, Taehyeong; Park, Jaemin On a lower bound of Hausdorff dimension of weighted singular vectors. (English) Zbl 07890748 Mathematika 70, No. 3, Article ID e12252, 31 p. (2024). MSC: 11J13 11K55 37A17 PDFBibTeX XMLCite \textit{T. Kim} and \textit{J. Park}, Mathematika 70, No. 3, Article ID e12252, 31 p. (2024; Zbl 07890748) Full Text: DOI arXiv
Moroz, Mykola Representation of real numbers by Perron series, their geometry, and some applications. (English. Ukrainian original) Zbl 1540.11101 J. Math. Sci., New York 279, No. 3, 384-399 (2024); translation from Neliniĭni Kolyvannya 26, No. 2, 247-260 (2023). MSC: 11K55 11K50 28A80 PDFBibTeX XMLCite \textit{M. Moroz}, J. Math. Sci., New York 279, No. 3, 384--399 (2024; Zbl 1540.11101); translation from Neliniĭni Kolyvannya 26, No. 2, 247--260 (2023) Full Text: DOI
Serbenyuk, Symon One example of singular representations of real numbers from the unit interval. (English) Zbl 1540.11102 Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 50, No. 1, 96-103 (2024). MSC: 11K55 26A27 11J72 11H71 PDFBibTeX XMLCite \textit{S. Serbenyuk}, Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 50, No. 1, 96--103 (2024; Zbl 1540.11102) Full Text: DOI arXiv
Wang, Jin-Feng; Zhou, Qing-Long Exceptional sets related to the product of consecutive digits in Lüroth expansions. (English) Zbl 07857957 Publ. Math. Debr. 104, No. 3-4, 279-314 (2024). MSC: 11K55 28A80 11J83 PDFBibTeX XMLCite \textit{J.-F. Wang} and \textit{Q.-L. Zhou}, Publ. Math. Debr. 104, No. 3--4, 279--314 (2024; Zbl 07857957) Full Text: DOI
Wang, Xulei; Zhang, Guohua Schmidt’s winning sets in \(S\)-gap shifts. (English) Zbl 07854593 Fundam. Math. 264, No. 2, 197-216 (2024). MSC: 37B10 11K55 PDFBibTeX XMLCite \textit{X. Wang} and \textit{G. Zhang}, Fundam. Math. 264, No. 2, 197--216 (2024; Zbl 07854593) Full Text: DOI
Fang, Lulu; Shang, Lei On the exact rate of convergence of digits in Engel expansions. (English) Zbl 07852346 J. Math. Anal. Appl. 531, No. 1, Part 1, Article ID 127726, 16 p. (2024). Reviewer: Jörg Neunhäuserer (Goslar) MSC: 11K55 28A80 28A75 PDFBibTeX XMLCite \textit{L. Fang} and \textit{L. Shang}, J. Math. Anal. Appl. 531, No. 1, Part 1, Article ID 127726, 16 p. (2024; Zbl 07852346) Full Text: DOI
Wang, Yanqing; Wu, Gang Fractal dimension of potential singular points set in the Navier-Stokes equations under supercritical regularity. (English) Zbl 1539.35177 Proc. R. Soc. Edinb., Sect. A, Math. 154, No. 3, 727-745 (2024). MSC: 35Q30 76D05 35D30 11K55 28A80 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{G. Wu}, Proc. R. Soc. Edinb., Sect. A, Math. 154, No. 3, 727--745 (2024; Zbl 1539.35177) Full Text: DOI arXiv
Jiang, Zhu; Xu, Jian Hausdorff dimension of certain sets arising by the maximal run-length function over factorial language. (English) Zbl 07848678 J. Math. Anal. Appl. 538, No. 1, Article ID 128325, 20 p. (2024). Reviewer: Jörg Neunhäuserer (Goslar) MSC: 11K55 28A78 PDFBibTeX XMLCite \textit{Z. Jiang} and \textit{J. Xu}, J. Math. Anal. Appl. 538, No. 1, Article ID 128325, 20 p. (2024; Zbl 07848678) Full Text: DOI
Glasscock, Daniel; Moreira, Joel; Richter, Florian K. Additive and geometric transversality of fractal sets in the integers. (English) Zbl 07846305 J. Lond. Math. Soc., II. Ser. 109, No. 5, Article ID e12902, 55 p. (2024). Reviewer: Jörg Neunhäuserer (Goslar) MSC: 11A63 28A80 11K55 37C45 PDFBibTeX XMLCite \textit{D. Glasscock} et al., J. Lond. Math. Soc., II. Ser. 109, No. 5, Article ID e12902, 55 p. (2024; Zbl 07846305) Full Text: DOI arXiv OA License
Hosten, Yohan On the variation of the sum of digits in the Zeckendorf representation: an algorithm to compute the distribution and mixing properties. (English) Zbl 07842615 J. Integer Seq. 27, No. 3, Article 24.3.2, 49 p. (2024). MSC: 11A63 11B39 11K55 37A25 PDFBibTeX XMLCite \textit{Y. Hosten}, J. Integer Seq. 27, No. 3, Article 24.3.2, 49 p. (2024; Zbl 07842615) Full Text: arXiv Link
Peng, Liuqing; Wu, Jun; Xu, Jian Hausdorff dimension of certain sets related to random \(\alpha \beta\)-orbits which are not dense. (English) Zbl 07841164 J. Number Theory 261, 22-35 (2024). Reviewer: Takao Komatsu (Hangzhou) MSC: 11K55 11J71 28A80 PDFBibTeX XMLCite \textit{L. Peng} et al., J. Number Theory 261, 22--35 (2024; Zbl 07841164) Full Text: DOI
Hančl, Jaroslav; Nair, Radhakrishnan; Verger-Gaugry, Jean-Louis On polynomials in primes, ergodic averages and monothetic groups. (English) Zbl 07838040 Monatsh. Math. 204, No. 1, 47-62 (2024). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11K41 11K55 22D40 28D99 47A35 PDFBibTeX XMLCite \textit{J. Hančl} et al., Monatsh. Math. 204, No. 1, 47--62 (2024; Zbl 07838040) Full Text: DOI arXiv
Cheung, Yitwah; Chevallier, Nicolas Lévy-Khintchin theorem for best simultaneous Diophantine approximations. (Théorème de Lévy-Khintchin pour les meilleures approximations diophantiennes simultanées.) (English. French summary) Zbl 07837750 Ann. Sci. Éc. Norm. Supér. (4) 57, No. 1, 185-240 (2024). Reviewer: Enrico Zoli (Faenza) MSC: 11J13 11J83 11K55 37A17 PDFBibTeX XMLCite \textit{Y. Cheung} and \textit{N. Chevallier}, Ann. Sci. Éc. Norm. Supér. (4) 57, No. 1, 185--240 (2024; Zbl 07837750) Full Text: DOI arXiv
Hussain, Mumtaz; Shulga, Nikita; Zhang, Zhenliang Hausdorff dimension for the set with exponentially growing partial quotients in their Lüroth expansion. (English) Zbl 07835588 Discrete Contin. Dyn. Syst. 44, No. 6, 1747-1767 (2024). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11K50 11K55 11J70 11J83 28A78 PDFBibTeX XMLCite \textit{M. Hussain} et al., Discrete Contin. Dyn. Syst. 44, No. 6, 1747--1767 (2024; Zbl 07835588) Full Text: DOI
Serbenyuk, S. Singular modifications of a classical function. (English) Zbl 07829366 Acta Math. Hung. 172, No. 1, 206-222 (2024). MSC: 11K55 11J72 26A27 11B34 39B22 39B72 26A30 11B34 PDFBibTeX XMLCite \textit{S. Serbenyuk}, Acta Math. Hung. 172, No. 1, 206--222 (2024; Zbl 07829366) Full Text: DOI arXiv
Shi, Saisai; Zhou, Qinglong On the shortest distance function in continued fractions. (English) Zbl 1540.11007 Bull. Aust. Math. Soc. 109, No. 2, 186-195 (2024). Reviewer: Mykhaylo Pahirya (Uzhhorod) MSC: 11A55 11K50 11K55 PDFBibTeX XMLCite \textit{S. Shi} and \textit{Q. Zhou}, Bull. Aust. Math. Soc. 109, No. 2, 186--195 (2024; Zbl 1540.11007) Full Text: DOI
Lautzenheiser, Daniel The residual set dimension of a generalized Apollonian packing. (English) Zbl 07826220 Geom. Dedicata 218, No. 2, Paper No. 52, 15 p. (2024). MSC: 52C26 52C17 51F15 11K55 11H31 PDFBibTeX XMLCite \textit{D. Lautzenheiser}, Geom. Dedicata 218, No. 2, Paper No. 52, 15 p. (2024; Zbl 07826220) Full Text: DOI arXiv
Zhang, Zhenliang; Liao, Xu; Tan, Xiaoyan The convergence exponent and the well approximated sets for Lüroth expansion. (English) Zbl 07814102 J. Math. Anal. Appl. 535, No. 1, Article ID 128217, 15 p. (2024). Reviewer: Takao Komatsu (Hangzhou) MSC: 11K55 28A78 PDFBibTeX XMLCite \textit{Z. Zhang} et al., J. Math. Anal. Appl. 535, No. 1, Article ID 128217, 15 p. (2024; Zbl 07814102) Full Text: DOI
Song, Ziheng Hausdorff dimension of some sets in the theory of continued beta-fractions and its generalized continued fractions. (English) Zbl 1532.11107 J. Math. Anal. Appl. 535, No. 1, Article ID 128120, 25 p. (2024). MSC: 11K55 11K50 11A55 28A80 PDFBibTeX XMLCite \textit{Z. Song}, J. Math. Anal. Appl. 535, No. 1, Article ID 128120, 25 p. (2024; Zbl 1532.11107) Full Text: DOI
Hussain, Mumtaz; Shulga, Nikita Hausdorff dimension for sets of continued fractions of formal Laurent series. (English) Zbl 07814051 Finite Fields Appl. 95, Article ID 102377, 29 p. (2024). Reviewer: Takao Komatsu (Hangzhou) MSC: 11K55 11J61 11J70 11K50 28A78 PDFBibTeX XMLCite \textit{M. Hussain} and \textit{N. Shulga}, Finite Fields Appl. 95, Article ID 102377, 29 p. (2024; Zbl 07814051) Full Text: DOI OA License
Hare, Kevin G.; Sidorov, Nikita The Minkowski sum of linear Cantor sets. (English) Zbl 07810304 Acta Arith. 212, No. 2, 173-193 (2024). Reviewer: Takao Komatsu (Hangzhou) MSC: 11K55 11A63 PDFBibTeX XMLCite \textit{K. G. Hare} and \textit{N. Sidorov}, Acta Arith. 212, No. 2, 173--193 (2024; Zbl 07810304) Full Text: DOI arXiv OA License
Baker, Simon Intrinsic Diophantine approximation for overlapping iterated function systems. (English) Zbl 07808081 Math. Ann. 388, No. 3, 3259-3297 (2024). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11J83 11K55 28A80 PDFBibTeX XMLCite \textit{S. Baker}, Math. Ann. 388, No. 3, 3259--3297 (2024; Zbl 07808081) Full Text: DOI arXiv OA License
Wu, Yu-Feng Maximal run-length function with constraints: a generalization of the Erdős-Rényi limit theorem and the exceptional sets. (English) Zbl 07802695 Monatsh. Math. 203, No. 2, 509-521 (2024). Reviewer: Takao Komatsu (Hangzhou) MSC: 11K55 11A63 PDFBibTeX XMLCite \textit{Y.-F. Wu}, Monatsh. Math. 203, No. 2, 509--521 (2024; Zbl 07802695) Full Text: DOI arXiv
Li, Rao; Lü, Fan Run-length function of the beta-expansion of a fixed real number. (English) Zbl 1540.11100 J. Number Theory 256, 55-78 (2024). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11K55 28A80 PDFBibTeX XMLCite \textit{R. Li} and \textit{F. Lü}, J. Number Theory 256, 55--78 (2024; Zbl 1540.11100) Full Text: DOI
Das, Tushar; Fishman, Lior; Simmons, David; Urbański, Mariusz A variational principle in the parametric geometry of numbers. (English) Zbl 07794565 Adv. Math. 437, Article ID 109435, 130 p. (2024). Reviewer: Takao Komatsu (Hangzhou) MSC: 11K55 11J13 28A80 28A78 37A15 37A17 91A05 91A44 PDFBibTeX XMLCite \textit{T. Das} et al., Adv. Math. 437, Article ID 109435, 130 p. (2024; Zbl 07794565) Full Text: DOI arXiv OA License
Song, Kunkun; Tan, Xiaoyan; Zhang, Zhenliang Irrationality exponent and convergence exponent in continued fraction expansions. (English) Zbl 1540.11103 Nonlinearity 37, No. 2, Article ID 025014, 17 p. (2024). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11K55 28A80 PDFBibTeX XMLCite \textit{K. Song} et al., Nonlinearity 37, No. 2, Article ID 025014, 17 p. (2024; Zbl 1540.11103) Full Text: DOI
Tan, Bo; Zhou, Qing-Long Metrical properties of the large products of partial quotients in continued fractions. (English) Zbl 1540.11104 Nonlinearity 37, No. 2, Article ID 025008, 28 p. (2024). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11K55 28A80 11J83 PDFBibTeX XMLCite \textit{B. Tan} and \textit{Q.-L. Zhou}, Nonlinearity 37, No. 2, Article ID 025008, 28 p. (2024; Zbl 1540.11104) 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
Tan, Bo; Wang, Baowei; Wu, Jun Mahler’s question for intrinsic Diophantine approximation on triadic Cantor set: the divergence theory. (English) Zbl 07780710 Math. Z. 306, No. 1, Paper No. 2, 24 p. (2024). Reviewer: Tomas Persson (Lund) MSC: 11J83 11K55 PDFBibTeX XMLCite \textit{B. Tan} et al., Math. Z. 306, No. 1, Paper No. 2, 24 p. (2024; Zbl 07780710) Full Text: DOI arXiv
Hussain, Mumtaz; Li, Bixuan; Shulga, Nikita Hausdorff dimension analysis of sets with the product of consecutive vs single partial quotients in continued fractions. (English) Zbl 1536.11122 Discrete Contin. Dyn. Syst. 44, No. 1, 154-181 (2024). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11K50 11K55 11J70 11J83 28A78 PDFBibTeX XMLCite \textit{M. Hussain} et al., Discrete Contin. Dyn. Syst. 44, No. 1, 154--181 (2024; Zbl 1536.11122) Full Text: DOI arXiv
Zhao, Xuan; Shen, Luming Localized growth speed of the digits in Engel expansions. (English) Zbl 1535.11113 J. Math. Anal. Appl. 530, No. 2, Article ID 127657, 9 p. (2024). Reviewer: Takao Komatsu (Hangzhou) MSC: 11K55 28A80 PDFBibTeX XMLCite \textit{X. Zhao} and \textit{L. Shen}, J. Math. Anal. Appl. 530, No. 2, Article ID 127657, 9 p. (2024; Zbl 1535.11113) Full Text: DOI
Komornik, Vilmos; Loreti, Paola; Pedicini, Marco A quasi-ergodic approach to non-integer base expansions. (English) Zbl 1530.11010 J. Number Theory 254, 146-168 (2024). Reviewer: Michel Rigo (Liège) MSC: 11A63 11K55 11B83 37B10 68R15 PDFBibTeX XMLCite \textit{V. Komornik} et al., J. Number Theory 254, 146--168 (2024; Zbl 1530.11010) Full Text: DOI OA License
Garrity, Thomas; Duke, Jacob Lehmann Ergodicity and Algebraticity of the Fast and Slow Triangle Maps. arXiv:2409.05822 Preprint, arXiv:2409.05822 [math.DS] (2024). MSC: 11K55 11J70 11R04 28D99 BibTeX Cite \textit{T. Garrity} and \textit{J. L. Duke}, ``Ergodicity and Algebraticity of the Fast and Slow Triangle Maps'', Preprint, arXiv:2409.05822 [math.DS] (2024) Full Text: arXiv OA License
Tan, Bo; Zhou, Qing-Long Quantitative Diophantine approximation and Fourier dimension of sets: Dirichlet non-improvable numbers versus well-approximable numbers. arXiv:2409.03331 Preprint, arXiv:2409.03331 [math.NT] (2024). MSC: 28A80 11K55 11J83 BibTeX Cite \textit{B. Tan} and \textit{Q.-L. Zhou}, ``Quantitative Diophantine approximation and Fourier dimension of sets: Dirichlet non-improvable numbers versus well-approximable numbers'', Preprint, arXiv:2409.03331 [math.NT] (2024) Full Text: arXiv OA License
Berend, Daniel; Boshernitzan, Michael D.; Kolesnik, Grigori; Kumar, Rishi Exceptional Points for Density Modulo 1. arXiv:2409.00775 Preprint, arXiv:2409.00775 [math.NT] (2024). MSC: 11J71 11K06 11K55 BibTeX Cite \textit{D. Berend} et al., ``Exceptional Points for Density Modulo 1'', Preprint, arXiv:2409.00775 [math.NT] (2024) Full Text: arXiv OA License
Lima, Davi; Espinosa, Alex Zamudio Counting and Hausdorff measures for integers and \(p\)-adic integers. arXiv:2408.02967 Preprint, arXiv:2408.02967 [math.NT] (2024). MSC: 11K55 11N45 BibTeX Cite \textit{D. Lima} and \textit{A. Z. Espinosa}, ``Counting and Hausdorff measures for integers and $p$-adic integers'', Preprint, arXiv:2408.02967 [math.NT] (2024) Full Text: arXiv OA License
Xiao, Zubiao; Jia, Hongwei; Yin, Zhengyu Scaled packing pressures on subsets for amenable group actions. arXiv:2407.13202 Preprint, arXiv:2407.13202 [math.DS] (2024). MSC: 11K55 28D20 37A15 BibTeX Cite \textit{Z. Xiao} et al., ``Scaled packing pressures on subsets for amenable group actions'', Preprint, arXiv:2407.13202 [math.DS] (2024) Full Text: arXiv OA License
Srivastava, Rajula Counting Rational Points In Non-Isotropic Neighborhoods of Manifolds. arXiv:2407.03078 Preprint, arXiv:2407.03078 [math.NT] (2024). MSC: 11D75 11J13 11J83 11K55 11J25 11K60 42B20 BibTeX Cite \textit{R. Srivastava}, ``Counting Rational Points In Non-Isotropic Neighborhoods of Manifolds'', Preprint, arXiv:2407.03078 [math.NT] (2024) Full Text: arXiv OA License
Song, Kunkun; Zhang, Mengjie Multifractal analysis of the convergence exponents for the digits in \(d\)-decaying Gauss like dynamical systems. arXiv:2407.00914 Preprint, arXiv:2407.00914 [math.DS] (2024). MSC: 11K55 28A80 BibTeX Cite \textit{K. Song} and \textit{M. Zhang}, ``Multifractal analysis of the convergence exponents for the digits in $d$-decaying Gauss like dynamical systems'', Preprint, arXiv:2407.00914 [math.DS] (2024) Full Text: arXiv OA License
Neunhäuserer, Jörg A new family of expansions of real numbers. arXiv:2406.10919 Preprint, arXiv:2406.10919 [math.DS] (2024). MSC: 11K55 37A44 28A80 26A30 BibTeX Cite \textit{J. Neunhäuserer}, ``A new family of expansions of real numbers'', Preprint, arXiv:2406.10919 [math.DS] (2024) Full Text: arXiv OA License
Brown-Sarre, Adam; Robert, Gerardo González; Hussain, Mumtaz Measure theoretic properties of large products of consecutive partial quotients. arXiv:2405.10538 Preprint, arXiv:2405.10538 [math.NT] (2024). MSC: 11K55 11J83 28A80 BibTeX Cite \textit{A. Brown-Sarre} et al., ``Measure theoretic properties of large products of consecutive partial quotients'', Preprint, arXiv:2405.10538 [math.NT] (2024) Full Text: arXiv OA License
Ahn, Min Woong Hausdorff dimension of the exceptional set of the law of large numbers in Pierce expansions. arXiv:2405.02174 Preprint, arXiv:2405.02174 [math.NT] (2024). MSC: 11K55 26A18 28A80 37E05 BibTeX Cite \textit{M. W. Ahn}, ``Hausdorff dimension of the exceptional set of the law of large numbers in Pierce expansions'', Preprint, arXiv:2405.02174 [math.NT] (2024) Full Text: arXiv OA License
Ahn, Min Woong Exceptional sets to Shallit’s law of leap years in Pierce expansions. arXiv:2404.18855 Preprint, arXiv:2404.18855 [math.NT] (2024). MSC: 11K55 28A80 85A99 BibTeX Cite \textit{M. W. Ahn}, ``Exceptional sets to Shallit's law of leap years in Pierce expansions'', Preprint, arXiv:2404.18855 [math.NT] (2024) Full Text: arXiv OA License
van Golden, S.; Kalle, C.; Kombrink, S.; Samuel, T. Dimensions of infinitely generated self-affine sets and restricted digit sets for signed Lüroth expansions. arXiv:2404.10749 Preprint, arXiv:2404.10749 [math.DS] (2024). MSC: 28A80 11A67 11K55 BibTeX Cite \textit{S. van Golden} et al., ``Dimensions of infinitely generated self-affine sets and restricted digit sets for signed Lüroth expansions'', Preprint, arXiv:2404.10749 [math.DS] (2024) Full Text: arXiv OA License
Badziahin, Dzmitry Simultaneous Diophantine approximation to points on the Veronese curve. arXiv:2403.17685 Preprint, arXiv:2403.17685 [math.NT] (2024). MSC: 11J13 11J54 11J82 11K55 BibTeX Cite \textit{D. Badziahin}, ``Simultaneous Diophantine approximation to points on the Veronese curve'', Preprint, arXiv:2403.17685 [math.NT] (2024) Full Text: arXiv OA License
Oguchi, Mai; Shinoda, Mao Hausdorff dimension of the parameters for \((\alpha,\beta)\)-transformations with the specification property. arXiv:2403.14230 Preprint, arXiv:2403.14230 [math.DS] (2024). MSC: 37E45 37E05 11K55 BibTeX Cite \textit{M. Oguchi} and \textit{M. Shinoda}, ``Hausdorff dimension of the parameters for $(\alpha,\beta)$-transformations with the specification property'', Preprint, arXiv:2403.14230 [math.DS] (2024) Full Text: arXiv OA License
Serbenyuk, Symon Cantor series expansions of rational numbers. (English) Zbl 07894545 Commun. Math. 31, No. 1, 393-407 (2023). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11K55 11J72 26A30 PDFBibTeX XMLCite \textit{S. Serbenyuk}, Commun. Math. 31, No. 1, 393--407 (2023; Zbl 07894545) Full Text: DOI arXiv OA License
Shmerkin, Pablo Slices and distances: on two problems of Furstenberg and Falconer. (English) Zbl 07822655 Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 4. Sections 5–8. Berlin: European Mathematical Society (EMS). 3266-3290 (2023). MSC: 28A80 05D99 11K55 28A75 28A78 37C45 PDFBibTeX XMLCite \textit{P. Shmerkin}, in: International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6--14, 2022. Volume 4. Sections 5--8. Berlin: European Mathematical Society (EMS). 3266--3290 (2023; Zbl 07822655) Full Text: DOI arXiv OA License
Kan, I. D. Modular generalization of the Bourgain-Kontorovich theorem. (English. Russian original) Zbl 1532.11095 Math. Notes 114, No. 5, 785-796 (2023); translation from Mat. Zametki 114, No. 5, 739-752 (2023). MSC: 11J70 11A55 11K50 11K55 PDFBibTeX XMLCite \textit{I. D. Kan}, Math. Notes 114, No. 5, 785--796 (2023; Zbl 1532.11095); translation from Mat. Zametki 114, No. 5, 739--752 (2023) 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
Pratsiovytyi, M. V.; Lysenko, I. M.; Maslova, Yu. P.; Trebenko, O. O. \(G\)-representation of real numbers and some of its applications. (English. Ukrainian original) Zbl 1532.11106 J. Math. Sci., New York 277, No. 2, 298-310 (2023); translation from Neliniĭni Kolyvannya 25, No. 4, 377-387 (2022). MSC: 11K55 PDFBibTeX XMLCite \textit{M. V. Pratsiovytyi} et al., J. Math. Sci., New York 277, No. 2, 298--310 (2023; Zbl 1532.11106); translation from Neliniĭni Kolyvannya 25, No. 4, 377--387 (2022) 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
Pratsiovytyi, M.; Goncharenko, Ya.; Lysenko, I.; Ratushnyak, S. Finite \(A_2\)-continued fractions in the problems of rational approximations of real numbers. (English. Ukrainian original) Zbl 1537.11108 Ukr. Math. J. 75, No. 6, 972-983 (2023); translation from Ukr. Mat. Zh. 75, No. 6, 849-858 (2023). Reviewer: Takao Komatsu (Hangzhou) MSC: 11K50 28A80 11K55 PDFBibTeX XMLCite \textit{M. Pratsiovytyi} et al., Ukr. Math. J. 75, No. 6, 972--983 (2023; Zbl 1537.11108); translation from Ukr. Mat. Zh. 75, No. 6, 849--858 (2023) Full Text: DOI
Serbenyuk, Symon A certain modification of classical singular function. (English) Zbl 07785678 Bol. Soc. Mat. Mex., III. Ser. 29, No. 3, Paper No. 88, 14 p. (2023). Reviewer: Simon Kristensen (Aarhus) MSC: 26A30 11K55 39B22 39B72 11B34 PDFBibTeX XMLCite \textit{S. Serbenyuk}, Bol. Soc. Mat. Mex., III. Ser. 29, No. 3, Paper No. 88, 14 p. (2023; Zbl 07785678) Full Text: DOI
Pratsiovytyĭ, M. V.; Bondarenko, O. I.; Vasylenko, N. M.; Lysenko, I. M. Infinite-symbol \(B\)-representation of real numbers and some of its applications. (Ukrainian. English summary) Zbl 1538.11144 Bukovyn. Mat. Zh. 11, No. 1, 94-105 (2023). MSC: 11K55 PDFBibTeX XMLCite \textit{M. V. Pratsiovytyĭ} et al., Bukovyn. Mat. Zh. 11, No. 1, 94--105 (2023; Zbl 1538.11144) Full Text: DOI OA License
Baranovs’kyĭ, O. M.; Get’man, B. I.; Pratsiovytyĭ, M. V. Cylindrical sets of E-representation of numbers and fractal Hausdorff-Besicovitch dimension. (Ukrainian. English summary) Zbl 1538.11142 Bukovyn. Mat. Zh. 11, No. 1, 63-70 (2023). MSC: 11K55 28A80 PDFBibTeX XMLCite \textit{O. M. Baranovs'kyĭ} et al., Bukovyn. Mat. Zh. 11, No. 1, 63--70 (2023; Zbl 1538.11142) Full Text: DOI OA License
Beresnevich, Victor; Yang, Lei Khintchine’s theorem and Diophantine approximation on manifolds. (English) Zbl 07779088 Acta Math. 231, No. 1, 1-30 (2023). Reviewer: Manuel Hauke (Graz) MSC: 11J13 11J83 11K55 11K60 PDFBibTeX XMLCite \textit{V. Beresnevich} and \textit{L. Yang}, Acta Math. 231, No. 1, 1--30 (2023; Zbl 07779088) Full Text: DOI arXiv
Pei, Yitong; Liu, Fengxia; Guo, Boling; Liu, Wuming The periodic initial value problem for Landau-Lifshitz-Bloch-Maxwell systeme. (English) Zbl 1531.35301 Discrete Contin. Dyn. Syst., Ser. S 16, No. 10, 2511-2529 (2023). MSC: 35Q60 35B41 82D40 78A25 35B65 37L30 11K55 28A80 35A01 PDFBibTeX XMLCite \textit{Y. Pei} et al., Discrete Contin. Dyn. Syst., Ser. S 16, No. 10, 2511--2529 (2023; Zbl 1531.35301) Full Text: DOI
Ahn, Min Woong On the error-sum function of pierce expansions. (English) Zbl 1527.28003 J. Fractal Geom. 10, No. 3-4, 389-421 (2023). MSC: 28A80 11K55 26A18 33E20 41A58 PDFBibTeX XMLCite \textit{M. W. Ahn}, J. Fractal Geom. 10, No. 3--4, 389--421 (2023; Zbl 1527.28003) Full Text: DOI arXiv
Baker, Simon; Zou, Yuru Metric results for numbers with multiple \(q\)-expansions. (English) Zbl 07754865 J. Fractal Geom. 10, No. 3-4, 243-266 (2023). Reviewer: Wolfgang Steiner (Paris) MSC: 11K55 11A63 28A80 37B10 PDFBibTeX XMLCite \textit{S. Baker} and \textit{Y. Zou}, J. Fractal Geom. 10, No. 3--4, 243--266 (2023; Zbl 07754865) Full Text: DOI arXiv
Fraser, Jonathan M.; Koivusalo, Henna; Ramírez, Felipe A. Diophantine approximation in metric space. (English) Zbl 1534.11094 Bull. Lond. Math. Soc. 55, No. 2, 756-776 (2023). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11J83 11K55 28A78 28A80 PDFBibTeX XMLCite \textit{J. M. Fraser} et al., Bull. Lond. Math. Soc. 55, No. 2, 756--776 (2023; Zbl 1534.11094) Full Text: DOI arXiv Link
Liu, Chuntai A note on exceptional sets in Erdős-Rényi limit theorem. (English) Zbl 07736680 Ann. Funct. Anal. 14, No. 4, Paper No. 71, 20 p. (2023). MSC: 28A80 11K55 54E52 PDFBibTeX XMLCite \textit{C. Liu}, Ann. Funct. Anal. 14, No. 4, Paper No. 71, 20 p. (2023; Zbl 07736680) Full Text: DOI
Basu, Saugata; Lerario, Antonio Hausdorff approximations and volume of tubes of singular algebraic sets. (English) Zbl 1537.14078 Math. Ann. 387, No. 1-2, 79-109 (2023). Reviewer: Gema Maria Diaz Toca (Murcia) MSC: 14P05 60D05 65Y20 11K55 PDFBibTeX XMLCite \textit{S. Basu} and \textit{A. Lerario}, Math. Ann. 387, No. 1--2, 79--109 (2023; Zbl 1537.14078) Full Text: DOI arXiv
Coons, Michael; Evans, James; Groth, Zachary; Mañibo, Neil Zaremba, Salem and the fractal nature of ghost distributions. (English) Zbl 07731648 Bull. Aust. Math. Soc. 107, No. 3, 374-389 (2023). Reviewer: Jean-Paul Allouche (Paris) MSC: 11K55 11B85 28A80 PDFBibTeX XMLCite \textit{M. Coons} et al., Bull. Aust. Math. Soc. 107, No. 3, 374--389 (2023; Zbl 07731648) Full Text: DOI
Wang, Xiaoqiong; Li, Rao Approximation orders of a real number in a family of beta-dynamical systems. (English) Zbl 1532.11108 Fractals 31, No. 5, Article ID 2350048, 10 p. (2023). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11K55 28A80 PDFBibTeX XMLCite \textit{X. Wang} and \textit{R. Li}, Fractals 31, No. 5, Article ID 2350048, 10 p. (2023; Zbl 1532.11108) Full Text: DOI
Zhang, Yuan; Wang, Weiliang; Li, Lu Inhomogeneous multiplicative Diophantine approximation on matrix approximation. (English) Zbl 1538.11140 Publ. Math. Debr. 103, No. 1-2, 79-96 (2023). Reviewer: Artūras Dubickas (Vilnius) MSC: 11J83 11K55 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Publ. Math. Debr. 103, No. 1--2, 79--96 (2023; Zbl 1538.11140) Full Text: DOI
Langeveld, N.; Samuel, T. Intermediate \(\beta\)-shifts as greedy \(\beta\)-shifts with a hole. (English) Zbl 1538.11143 Acta Math. Hung. 170, No. 1, 269-301 (2023). Reviewer: Takao Komatsu (Hangzhou) MSC: 11K55 11A63 68R15 26A30 28D05 37B10 37E05 37E15 PDFBibTeX XMLCite \textit{N. Langeveld} and \textit{T. Samuel}, Acta Math. Hung. 170, No. 1, 269--301 (2023; Zbl 1538.11143) Full Text: DOI arXiv
Feng, Y.; Zhou, Q. L. Dimension theory of Lüroth digits. (English) Zbl 1538.11139 Acta Math. Hung. 170, No. 1, 150-167 (2023). Reviewer: Thomas B. Ward (Durham) MSC: 11J70 11K55 28A80 PDFBibTeX XMLCite \textit{Y. Feng} and \textit{Q. L. Zhou}, Acta Math. Hung. 170, No. 1, 150--167 (2023; Zbl 1538.11139) Full Text: DOI
Baranovskyi, Oleksandr; Pratsiovytyi, Mykola One class of continuous functionswith complicated local properties related to Engel series. (English) Zbl 07720199 Funct. Approximatio, Comment. Math. 68, No. 2, 143-166 (2023). MSC: 26A30 11K55 39B72 PDFBibTeX XMLCite \textit{O. Baranovskyi} and \textit{M. Pratsiovytyi}, Funct. Approximatio, Comment. Math. 68, No. 2, 143--166 (2023; Zbl 07720199) Full Text: DOI
Zhang, Mengjie; Wang, Weiliang On Lüroth expansions in which the largest digit grows with slowly increasing speed. (English) Zbl 1528.11067 Bull. Aust. Math. Soc. 107, No. 2, 204-214 (2023). Reviewer: Takao Komatsu (Hangzhou) MSC: 11K55 28A80 PDFBibTeX XMLCite \textit{M. Zhang} and \textit{W. Wang}, Bull. Aust. Math. Soc. 107, No. 2, 204--214 (2023; Zbl 1528.11067) Full Text: DOI
Yuan, Na; Li, Bing Hausdorff dimensions of recurrent and shrinking target sets under Lipschitz functions for expanding Markov maps. (English) Zbl 1528.28027 Dyn. Syst. 38, No. 3, 365-394 (2023). MSC: 28A80 11K55 PDFBibTeX XMLCite \textit{N. Yuan} and \textit{B. Li}, Dyn. Syst. 38, No. 3, 365--394 (2023; Zbl 1528.28027) Full Text: DOI
Li, Bixuan; Wang, Baowei; Xu, Jian Hausdorff dimension of Dirichlet non-improvable set versus well-approximable set. (English) Zbl 1532.11105 Ergodic Theory Dyn. Syst. 43, No. 8, 2707-2731 (2023). Reviewer: Alexey Ustinov (Khabarovsk) MSC: 11K50 11K55 11J83 PDFBibTeX XMLCite \textit{B. Li} et al., Ergodic Theory Dyn. Syst. 43, No. 8, 2707--2731 (2023; Zbl 1532.11105) Full Text: DOI
Ito, Hiroaki Diophantine approximation by negative continued fraction. (English) Zbl 1531.11072 Tokyo J. Math. 46, No. 1, 1-18 (2023). Reviewer: Manuel Hauke (Graz) MSC: 11K50 11K55 37A05 PDFBibTeX XMLCite \textit{H. Ito}, Tokyo J. Math. 46, No. 1, 1--18 (2023; Zbl 1531.11072) Full Text: DOI arXiv Link
Zeng, Sai-Nan; Ai, Wen-Hui; Chen, Jia-Long The spectra of Cantor-type measures with consecutive digits. (English) Zbl 1518.28002 Bull. Malays. Math. Sci. Soc. (2) 46, No. 4, Paper No. 125, 16 p. (2023). MSC: 28A12 11A51 11K55 42C30 PDFBibTeX XMLCite \textit{S.-N. Zeng} et al., Bull. Malays. Math. Sci. Soc. (2) 46, No. 4, Paper No. 125, 16 p. (2023; Zbl 1518.28002) Full Text: DOI
Kim, Taehyeong; Lim, Seonhee; Paulin, Frédéric On Hausdorff dimension in inhomogeneous Diophantine approximation over global function fields. (English) Zbl 1525.11080 J. Number Theory 251, 102-146 (2023). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11J61 11K55 28D20 37A17 22F30 PDFBibTeX XMLCite \textit{T. Kim} et al., J. Number Theory 251, 102--146 (2023; Zbl 1525.11080) Full Text: DOI arXiv
Giuliano, R.; Hadjikyriakou, M. New asymptotic results for generalized Oppenheim expansions. (English) Zbl 1538.60048 Acta Math. Hung. 169, No. 2, 359-381 (2023). Reviewer: Weiping Li (Guanghan) MSC: 60F15 60F05 11K55 PDFBibTeX XMLCite \textit{R. Giuliano} and \textit{M. Hadjikyriakou}, Acta Math. Hung. 169, No. 2, 359--381 (2023; Zbl 1538.60048) Full Text: DOI arXiv
Brown-Sarre, Adam; Hussain, Mumtaz A note on the relative growth of products of multiple partial quotients in the plane. (English) Zbl 1528.11066 Can. Math. Bull. 66, No. 2, 544-552 (2023). Reviewer: Manuel Hauke (Graz) MSC: 11K50 11K55 11J83 28A80 PDFBibTeX XMLCite \textit{A. Brown-Sarre} and \textit{M. Hussain}, Can. Math. Bull. 66, No. 2, 544--552 (2023; Zbl 1528.11066) Full Text: DOI
Hussain, Mumtaz; Wang, Weiliang Higher-dimensional shrinking target problem for beta dynamical systems. (English) Zbl 1522.11081 J. Aust. Math. Soc. 114, No. 3, 289-311 (2023). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11K55 28A80 11J83 11K60 37C45 PDFBibTeX XMLCite \textit{M. Hussain} and \textit{W. Wang}, J. Aust. Math. Soc. 114, No. 3, 289--311 (2023; Zbl 1522.11081) Full Text: DOI arXiv
Yu, Han Fractal projections with an application in number theory. (English) Zbl 1527.11008 Ergodic Theory Dyn. Syst. 43, No. 5, 1760-1784 (2023). Reviewer: Lukas Spiegelhofer (Leoben) MSC: 11A63 11K55 28A80 PDFBibTeX XMLCite \textit{H. Yu}, Ergodic Theory Dyn. Syst. 43, No. 5, 1760--1784 (2023; Zbl 1527.11008) Full Text: DOI arXiv OA License
Das, Tushar; Fishman, Lior; Simmons, David; Urbański, Mariusz Hausdorff dimensions of perturbations of a conformal iterated function system via thermodynamic formalism. (English) Zbl 1523.37032 Sel. Math., New Ser. 29, No. 2, Paper No. 19, 56 p. (2023). MSC: 37C45 37C30 37D35 37E05 37B10 28A78 28A80 11K50 11K55 PDFBibTeX XMLCite \textit{T. Das} et al., Sel. Math., New Ser. 29, No. 2, Paper No. 19, 56 p. (2023; Zbl 1523.37032) Full Text: DOI arXiv
Berthé, Valérie; Cesaratto, Eda; Rotondo, Pablo; Safe, Martín D. Lochs-type theorems beyond positive entropy. (English) Zbl 1529.11094 Monatsh. Math. 200, No. 4, 737-779 (2023). Reviewer: Simon Kristensen (Aarhus) MSC: 11K55 11K50 11B57 28D20 PDFBibTeX XMLCite \textit{V. Berthé} et al., Monatsh. Math. 200, No. 4, 737--779 (2023; Zbl 1529.11094) Full Text: DOI arXiv HAL
Serbenyuk, Symon Some types of numeral systems and their modeling. (English) Zbl 1521.11050 J. Anal. 31, No. 1, 149-177 (2023). Reviewer: Alexey Ustinov (Khabarovsk) MSC: 11K55 26A27 11J72 11H71 68P30 94B75 94B27 PDFBibTeX XMLCite \textit{S. Serbenyuk}, J. Anal. 31, No. 1, 149--177 (2023; Zbl 1521.11050) Full Text: DOI arXiv
Kan, I. D.; Solovyov, G. Kh. System of inequalities in continued fractions from finite alphabets. (English. Russian original) Zbl 1516.11075 Math. Notes 113, No. 2, 212-219 (2023); translation from Mat. Zametki 113, No. 2, 197-206 (2023). Reviewer: Mykhaylo Pahirya (Uzhhorod) MSC: 11J70 11K55 PDFBibTeX XMLCite \textit{I. D. Kan} and \textit{G. Kh. Solovyov}, Math. Notes 113, No. 2, 212--219 (2023; Zbl 1516.11075); translation from Mat. Zametki 113, No. 2, 197--206 (2023) Full Text: DOI
Koivusalo, Henna; Liao, Lingmin; Persson, Tomas Uniform random covering problems. (English) Zbl 1518.11059 Int. Math. Res. Not. 2023, No. 1, 455-481 (2023). Reviewer: Enrico Zoli (Faenza) MSC: 11K55 37A44 37A46 PDFBibTeX XMLCite \textit{H. Koivusalo} et al., Int. Math. Res. Not. 2023, No. 1, 455--481 (2023; Zbl 1518.11059) Full Text: DOI arXiv OA License
Wu, Yu-Feng Inhomogeneous and simultaneous Diophantine approximation in beta dynamical systems. (English) Zbl 1510.11130 J. Math. Anal. Appl. 519, No. 1, Article ID 126781, 18 p. (2023). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11K55 28A80 PDFBibTeX XMLCite \textit{Y.-F. Wu}, J. Math. Anal. Appl. 519, No. 1, Article ID 126781, 18 p. (2023; Zbl 1510.11130) Full Text: DOI arXiv
Schindler, Damaris; Srivastava, Rajula; Technau, Niclas Rational Points Near Manifolds, Homogeneous Dynamics, and Oscillatory Integrals. arXiv:2310.03867 Preprint, arXiv:2310.03867 [math.NT] (2023). MSC: 11J83 11K55 11J25 42B20 BibTeX Cite \textit{D. Schindler} et al., ``Rational Points Near Manifolds, Homogeneous Dynamics, and Oscillatory Integrals'', Preprint, arXiv:2310.03867 [math.NT] (2023) Full Text: arXiv OA License
Feng, De-jun; Lai, Chun-Kit; Xiong, Ying Erdős similarity problem via bi-Lipschitz embedding. arXiv:2312.01319 Preprint, arXiv:2312.01319 [math.CA] (2023). MSC: 28A78 28A05 30L05 11K55 BibTeX Cite \textit{D.-j. Feng} et al., ``Erdős similarity problem via bi-Lipschitz embedding'', Preprint, arXiv:2312.01319 [math.CA] (2023) Full Text: arXiv OA License
Gao, Xiang; Mooroogen, Yuveshen; Yip, Chi Hoi On an Erdős similarity problem in the large. arXiv:2311.06727 Preprint, arXiv:2311.06727 [math.CA] (2023). MSC: 28A75 28A78 28A80 11K55 11J71 11B05 BibTeX Cite \textit{X. Gao} et al., ``On an Erdős similarity problem in the large'', Preprint, arXiv:2311.06727 [math.CA] (2023) Full Text: arXiv OA License
Imbierski, Jonny; Kalle, Charlene; Mohammadpour, Reza Besicovitch-Eggleston sets for finite GLS number systems with redundancy. arXiv:2310.15265 Preprint, arXiv:2310.15265 [math.DS] (2023). MSC: 11K55 28A80 37D35 BibTeX Cite \textit{J. Imbierski} et al., ``Besicovitch-Eggleston sets for finite GLS number systems with redundancy'', Preprint, arXiv:2310.15265 [math.DS] (2023) Full Text: arXiv OA License
Giuliano, Rita; Hadjikyriakou, Milto Intermediately Trimmed Sums of Oppenheim Expansions: a Strong Law. arXiv:2310.00669 Preprint, arXiv:2310.00669 [math.PR] (2023). MSC: 60F15 60G50 11K55 BibTeX Cite \textit{R. Giuliano} and \textit{M. Hadjikyriakou}, ``Intermediately Trimmed Sums of Oppenheim Expansions: a Strong Law'', Preprint, arXiv:2310.00669 [math.PR] (2023) Full Text: arXiv OA License
Ahn, Min Woong Convergence exponent of Pierce expansion digit sequences. arXiv:2309.01722 Preprint, arXiv:2309.01722 [math.NT] (2023). MSC: 26A21 11K55 28A80 41A58 54E52 BibTeX Cite \textit{M. W. Ahn}, ``Convergence exponent of Pierce expansion digit sequences'', Preprint, arXiv:2309.01722 [math.NT] (2023) Full Text: arXiv OA License
Saito, Kota Finiteness of solutions to linear Diophantine equations on Piatetski-Shapiro sequences. arXiv:2306.17813 Preprint, arXiv:2306.17813 [math.NT] (2023). MSC: 11D04 11K55 BibTeX Cite \textit{K. Saito}, ``Finiteness of solutions to linear Diophantine equations on Piatetski-Shapiro sequences'', Preprint, arXiv:2306.17813 [math.NT] (2023) Full Text: arXiv OA License
Ahn, Min Woong Hausdorff dimensions in Pierce expansions. arXiv:2304.14162 Preprint, arXiv:2304.14162 [math.NT] (2023). MSC: 11K55 28A80 BibTeX Cite \textit{M. W. Ahn}, ``Hausdorff dimensions in Pierce expansions'', Preprint, arXiv:2304.14162 [math.NT] (2023) Full Text: DOI arXiv OA License
Yuan, Na; Wang, ShuaiLing Modified shrinking target problem for Matrix Transformations of Tori. arXiv:2304.07532 Preprint, arXiv:2304.07532 [math.DS] (2023). MSC: 11K55 37C45 28A80 BibTeX Cite \textit{N. Yuan} and \textit{S. Wang}, ``Modified shrinking target problem for Matrix Transformations of Tori'', Preprint, arXiv:2304.07532 [math.DS] (2023) Full Text: arXiv OA License
Tan, Bo; Zhou, Qing-Long Metrical properties for the large partial quotients with product forms in continued fractions. arXiv:2303.17140 Preprint, arXiv:2303.17140 [math.NT] (2023). MSC: 11K55 28A80 11J83 BibTeX Cite \textit{B. Tan} and \textit{Q.-L. Zhou}, ``Metrical properties for the large partial quotients with product forms in continued fractions'', Preprint, arXiv:2303.17140 [math.NT] (2023) Full Text: arXiv OA License
Berthé, Valerie; Dajani, Karma; Kalle, Charlene; Krawczyk, Ela; Kuru, Hamide; Thevis, Andrea Rational approximations, multidimensional continued fractions and lattice reduction. arXiv:2303.07777 Preprint, arXiv:2303.07777 [math.NT] (2023). MSC: 11K55 11K50 37A45 BibTeX Cite \textit{V. Berthé} et al., ``Rational approximations, multidimensional continued fractions and lattice reduction'', Preprint, arXiv:2303.07777 [math.NT] (2023) Full Text: arXiv OA License
MacVicar, Neil Multiplicative Invariance for a Class of Subsets of the Complex Plane. arXiv:2301.09730 Preprint, arXiv:2301.09730 [math.DS] (2023). MSC: 11A63 11K55 28A80 BibTeX Cite \textit{N. MacVicar}, ``Multiplicative Invariance for a Class of Subsets of the Complex Plane'', Preprint, arXiv:2301.09730 [math.DS] (2023) Full Text: arXiv OA License
Tan, Bo; Zhou, Qing-Long Uniform Diophantine approximation and run-length function in continued fractions. arXiv:2301.05855 Preprint, arXiv:2301.05855 [math.NT] (2023). MSC: 11K55 28A80 11J83 BibTeX Cite \textit{B. Tan} and \textit{Q.-L. Zhou}, ``Uniform Diophantine approximation and run-length function in continued fractions'', Preprint, arXiv:2301.05855 [math.NT] (2023) Full Text: arXiv OA License