Calta, Kariane; Kraaikamp, Cor; Schmidt, Thomas A. Proofs of ergodicity of piecewise Möbius interval maps using planar extensions. (English) Zbl 07904350 Expo. Math. 42, No. 4, Article ID 125575, 39 p. (2024). MSC: 37A25 11K50 37A10 37A44 PDFBibTeX XMLCite \textit{K. Calta} et al., Expo. Math. 42, No. 4, Article ID 125575, 39 p. (2024; Zbl 07904350) Full Text: DOI arXiv
Frühwirth, Lorenz; Hauke, Manuel On Birkhoff sums that satisfy no temporal distributional limit theorem for almost every irrational. (Sommes de Brikhoff ne satisfaisant pas de théorème limite distributionnel temporel pour presque tout irrationnel.) (English. French summary) Zbl 07893730 Ann. Henri Lebesgue 7, 251-265 (2024). MSC: 37E10 11K60 11K50 11J83 37A44 PDFBibTeX XMLCite \textit{L. Frühwirth} and \textit{M. Hauke}, Ann. Henri Lebesgue 7, 251--265 (2024; Zbl 07893730) Full Text: DOI arXiv
Boca, Florin P.; Siskaki, Maria On the Gauss-Kuzmin-Lévy problem for nearest integer continued fractions. (English) Zbl 07874870 Monatsh. Math. 204, No. 3, 409-426 (2024). MSC: 11K50 37A05 37A44 47B38 PDFBibTeX XMLCite \textit{F. P. Boca} and \textit{M. Siskaki}, Monatsh. Math. 204, No. 3, 409--426 (2024; Zbl 07874870) 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
Carreño, Juan Carlos López; Suárez, Rosalba Mendoza; Suárez, Jairo Alonso Mendoza Evaluation of certain integrals in the book of Gradshteyn and Ryzhik. (English) Zbl 07866775 Int. J. Math. Comput. Sci. 19, No. 4, 1265-1271 (2024). MSC: 11J83 11K50 11L03 37E10 60F05 PDFBibTeX XMLCite \textit{J. C. L. Carreño} et al., Int. J. Math. Comput. Sci. 19, No. 4, 1265--1271 (2024; Zbl 07866775) Full Text: Link
Carreño, Juan Carlos López; Suárez, Rosalba Mendoza; Suárez, Jairo Alonso Mendoza Deriving the partial fraction series for the \(\pi\cot(\pi x)\) function by applying hypergeometric functions theory. (English) Zbl 07846051 Int. J. Math. Comput. Sci. 19, No. 3, 725-730 (2024). MSC: 11J83 11K50 11L03 37E10 60F05 PDFBibTeX XMLCite \textit{J. C. L. Carreño} et al., Int. J. Math. Comput. Sci. 19, No. 3, 725--730 (2024; Zbl 07846051) Full Text: Link
Banaji, Amlan; Fraser, Jonathan M. Assouad type dimensions of infinitely generated self-conformal sets. (English) Zbl 07844477 Nonlinearity 37, No. 4, Article ID 045004, 32 p. (2024). MSC: 28A80 37B10 11K50 PDFBibTeX XMLCite \textit{A. Banaji} and \textit{J. M. Fraser}, Nonlinearity 37, No. 4, Article ID 045004, 32 p. (2024; Zbl 07844477) Full Text: DOI arXiv OA License
Fang, Lulu; Ma, Jihua; Song, Kunkun; Yang, Xin Multifractal analysis of convergence exponents for products of consecutive partial quotients in continued fractions. (English) Zbl 07844476 Acta Math. Sci., Ser. B, Engl. Ed. 44, No. 4, 1594-1608 (2024). MSC: 11K50 28A80 PDFBibTeX XMLCite \textit{L. Fang} et al., Acta Math. Sci., Ser. B, Engl. Ed. 44, No. 4, 1594--1608 (2024; Zbl 07844476) Full Text: DOI
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
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
Zhang, Yuqing Metrical properties for functions of consecutive multiple partial quotients in continued fractions. (English) Zbl 07819765 Int. J. Number Theory 20, No. 2, 519-529 (2024). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11K50 11J70 11J83 PDFBibTeX XMLCite \textit{Y. Zhang}, Int. J. Number Theory 20, No. 2, 519--529 (2024; Zbl 07819765) Full Text: DOI
Lukyanenko, Anton; Vandehey, Joseph Convergence of improper Iwasawa continued fractions. (English) Zbl 07819753 Int. J. Number Theory 20, No. 2, 299-326 (2024). Reviewer: Alexey Ustinov (Khabarovsk) MSC: 11K50 11R52 53C17 PDFBibTeX XMLCite \textit{A. Lukyanenko} and \textit{J. Vandehey}, Int. J. Number Theory 20, No. 2, 299--326 (2024; Zbl 07819753) Full Text: DOI arXiv
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
Aistleitner, Christoph; Borda, Bence; Hauke, Manuel On the distribution of partial quotients of reduced fractions with fixed denominator. (English) Zbl 07789120 Trans. Am. Math. Soc. 377, No. 2, 1371-1408 (2024). Reviewer: Florian Luca (Johannesburg) MSC: 11K50 11N25 68Q25 PDFBibTeX XMLCite \textit{C. Aistleitner} et al., Trans. Am. Math. Soc. 377, No. 2, 1371--1408 (2024; Zbl 07789120) 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
Fang, Lulu; Moreira, Carlos Gustavo; Zhang, Yiwei Fractal geometry of continued fractions with large coefficients and dimension drop problems. arXiv:2409.00521 Preprint, arXiv:2409.00521 [math.NT] (2024). MSC: 11K50 37D35 28A80 BibTeX Cite \textit{L. Fang} et al., ``Fractal geometry of continued fractions with large coefficients and dimension drop problems'', Preprint, arXiv:2409.00521 [math.NT] (2024) Full Text: arXiv OA License
Hauke, Manuel; Ramirez, Felipe A. The Duffin-Schaeffer conjecture with a moving target. arXiv:2407.05344 Preprint, arXiv:2407.05344 [math.NT] (2024). MSC: 11K60 11J83 11J71 11J20 11K50 BibTeX Cite \textit{M. Hauke} and \textit{F. A. Ramirez}, ``The Duffin-Schaeffer conjecture with a moving target'', Preprint, arXiv:2407.05344 [math.NT] (2024) Full Text: arXiv OA License
Beresnevich, Victor; Hauke, Manuel; Velani, Sanju Borel-Cantelli, zero-one laws and inhomogeneous Duffin-Schaeffer. arXiv:2406.19198 Preprint, arXiv:2406.19198 [math.NT] (2024). MSC: 11J83 11K60 11J20 60F20 37A44 11J71 11A55 11J70 11K38 11J54 11K06 11K50 BibTeX Cite \textit{V. Beresnevich} et al., ``Borel-Cantelli, zero-one laws and inhomogeneous Duffin-Schaeffer'', Preprint, arXiv:2406.19198 [math.NT] (2024) Full Text: arXiv OA License
Banaji, Amlan; Rutar, Alex Lower box dimension of infinitely generated self-conformal sets. arXiv:2406.12821 Preprint, arXiv:2406.12821 [math.DS] (2024). MSC: 28A80 37C45 37B10 11K50 BibTeX Cite \textit{A. Banaji} and \textit{A. Rutar}, ``Lower box dimension of infinitely generated self-conformal sets'', Preprint, arXiv:2406.12821 [math.DS] (2024) Full Text: arXiv OA License
Dajani, Karma; Kraaikamp, Cornelis; Nakada, Hitoshi; Natsui, Rie A new class of \(\alpha\)-Farey maps and an application to normal numbers. arXiv:2405.10921 Preprint, arXiv:2405.10921 [math.DS] (2024). MSC: 11K50 37A10 11J70 37A44 BibTeX Cite \textit{K. Dajani} et al., ``A new class of $\alpha$-Farey maps and an application to normal numbers'', Preprint, arXiv:2405.10921 [math.DS] (2024) Full Text: arXiv OA License
Jin, Alex; Singh, Shreyas; Zhang, Zhuo; Hildebrand, AJ On the Continued Fraction Expansion of Almost All Real Numbers. arXiv:2403.16761 Preprint, arXiv:2403.16761 [math.NT] (2024). MSC: 11K50 11A55 BibTeX Cite \textit{A. Jin} et al., ``On the Continued Fraction Expansion of Almost All Real Numbers'', Preprint, arXiv:2403.16761 [math.NT] (2024) Full Text: arXiv OA License
de Jonge, Jaap; Kraaikamp, Cor Gaps in intervals of \(N\)-expansions. (English) Zbl 07856145 Integers 23, Paper A42, 17 p. (2023). Reviewer: Marcel G. de Bruin (Heemstede) MSC: 11K50 11A55 11J70 PDFBibTeX XMLCite \textit{J. de Jonge} and \textit{C. Kraaikamp}, Integers 23, Paper A42, 17 p. (2023; Zbl 07856145) Full Text: Link
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
Szewczak, Zbigniew; Weber, Michel Classical and almost sure local limit theorems. (English) Zbl 1532.60004 Diss. Math. 589, 1-97 (2023). MSC: 60-02 60F05 11K50 60F15 60G50 60J05 PDFBibTeX XMLCite \textit{Z. Szewczak} and \textit{M. Weber}, Diss. Math. 589, 1--97 (2023; Zbl 1532.60004) Full Text: DOI arXiv OA License
Bakhtawar, Ayreena; Hussain, Mumtaz; Kleinbock, Dmitry; Wang, Bao-Wei Metrical properties for the weighted products of multiple partial quotients in continued fractions. (English) Zbl 07800548 Houston J. Math. 49, No. 1, 159-194 (2023). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11K50 11J70 11J83 28A78 28A80 PDFBibTeX XMLCite \textit{A. Bakhtawar} et al., Houston J. Math. 49, No. 1, 159--194 (2023; Zbl 07800548) Full Text: arXiv Link
Ratushniak, S. P. Continuous nowhere monotonic function, defined by terms continued a-representations of numbers. (Ukrainian. English summary) Zbl 07799303 Bukovyn. Mat. Zh. 11, No. 2, 236-245 (2023). MSC: 28A80 11K50 26A27 26A30 PDFBibTeX XMLCite \textit{S. P. Ratushniak}, Bukovyn. Mat. Zh. 11, No. 2, 236--245 (2023; Zbl 07799303) 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
Frühwirth, Lorenz; Hauke, Manuel On the metric upper density of Birkhoff sums for irrational rotations. (English) Zbl 07781019 Nonlinearity 36, No. 12, 7065-7104 (2023). Reviewer: Lingmin Liao (Wuhan) MSC: 11K60 37E10 11K50 PDFBibTeX XMLCite \textit{L. Frühwirth} and \textit{M. Hauke}, Nonlinearity 36, No. 12, 7065--7104 (2023; Zbl 07781019) Full Text: DOI arXiv OA License
Ratushniak, S. P. Continuous nowhere monotonic function defined it term continued \(A_2\)-fraction representation of numbers. (Ukrainian. English summary) Zbl 07779271 Bukovyn. Mat. Zh. 11, No. 1, 126-133 (2023). MSC: 11K50 26A27 26A30 PDFBibTeX XMLCite \textit{S. P. Ratushniak}, Bukovyn. Mat. Zh. 11, No. 1, 126--133 (2023; Zbl 07779271) Full Text: DOI OA License
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 PDFBibTeX XMLCite \textit{V. Berthé} et al., J. Eur. Math. Soc. (JEMS) 25, No. 12, 4997--5057 (2023; Zbl 1533.37040) Full Text: DOI arXiv
Ei, Hiromi; Nakada, Hitoshi; Natsui, Rie On the ergodic theory of maps associated with the nearest integer complex continued fractions over imaginary quadratic fields. (English) Zbl 1536.11121 Discrete Contin. Dyn. Syst. 43, No. 11, 3883-3924 (2023). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11K50 37A44 37D40 52C20 PDFBibTeX XMLCite \textit{H. Ei} et al., Discrete Contin. Dyn. Syst. 43, No. 11, 3883--3924 (2023; Zbl 1536.11121) Full Text: DOI
Hančl, Jaroslav; Turek, Ondřej Continued fractions with bounded even-order partial quotients. (English) Zbl 1536.11018 Ramanujan J. 62, No. 1, 69-110 (2023). Reviewer: Simon Kristensen (Aarhus) MSC: 11A55 11J70 11K50 PDFBibTeX XMLCite \textit{J. Hančl} and \textit{O. Turek}, Ramanujan J. 62, No. 1, 69--110 (2023; Zbl 1536.11018) Full Text: DOI
Minelli, Paolo; Sourmelidis, Athanasios; Technau, Marc Bias in the number of steps in the Euclidean algorithm and a conjecture of Ito on Dedekind sums. (English) Zbl 1537.11012 Math. Ann. 387, No. 1-2, 291-320 (2023). Reviewer: Alexey Ustinov (Khabarovsk) MSC: 11A55 11F20 11K50 11J25 PDFBibTeX XMLCite \textit{P. Minelli} et al., Math. Ann. 387, No. 1--2, 291--320 (2023; Zbl 1537.11012) Full Text: DOI arXiv OA License
He, Y.; Xiao, Q. On sums of partial quotients in Hurwitz continued fraction expansions. (English) Zbl 07722695 Acta Math. Hung. 170, No. 1, 17-32 (2023). Reviewer: Włodzimierz Ślęzak (Bydgoszcz) MSC: 11K50 28A78 PDFBibTeX XMLCite \textit{Y. He} and \textit{Q. Xiao}, Acta Math. Hung. 170, No. 1, 17--32 (2023; Zbl 07722695) 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
Conley, Charles H.; Ovsienko, Valentin Shadows of rationals and irrationals: supersymmetric continued fractions and the super modular group. (English) Zbl 1522.11074 J. Geom. Phys. 190, Article ID 104866, 18 p. (2023). Reviewer: Anton Deitmar (Tübingen) MSC: 11J70 11A55 11K50 PDFBibTeX XMLCite \textit{C. H. Conley} and \textit{V. Ovsienko}, J. Geom. Phys. 190, Article ID 104866, 18 p. (2023; Zbl 1522.11074) Full Text: DOI arXiv HAL
Hartono, Yusuf; Kraaikamp, Cor; Langeveld, Niels; Merriman, Claire Natural extensions and entropy of \(\alpha \)-continued fraction expansion maps with odd partial quotients. (English) Zbl 1518.28012 Discrete Contin. Dyn. Syst. 43, No. 8, 2852-2888 (2023). Reviewer: Symon Serbenyuk (Kyïv) MSC: 28D05 11K50 PDFBibTeX XMLCite \textit{Y. Hartono} et al., Discrete Contin. Dyn. Syst. 43, No. 8, 2852--2888 (2023; Zbl 1518.28012) Full Text: DOI arXiv
Schindler, Tanja I.; Zweimüller, Roland Prime numbers in typical continued fraction expansions. (English) Zbl 1527.11061 Boll. Unione Mat. Ital. 16, No. 2, 259-274 (2023). Reviewer: Mykhaylo Pahirya (Uzhhorod) MSC: 11K50 28D05 37A25 37C30 37A50 PDFBibTeX XMLCite \textit{T. I. Schindler} and \textit{R. Zweimüller}, Boll. Unione Mat. Ital. 16, No. 2, 259--274 (2023; Zbl 1527.11061) Full Text: DOI arXiv OA License
Takahasi, Hiroki Hausdorff dimension of sets with restricted, slowly growing partial quotients. (English) Zbl 1527.11062 Proc. Am. Math. Soc. 151, No. 9, 3645-3653 (2023). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11K50 37A44 11A55 PDFBibTeX XMLCite \textit{H. Takahasi}, Proc. Am. Math. Soc. 151, No. 9, 3645--3653 (2023; Zbl 1527.11062) 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
Tan, Bo; Tian, Chen; Wang, Baowei The distribution of the large partial quotients in continued fraction expansions. (English) Zbl 1522.11080 Sci. China, Math. 66, No. 5, 935-956 (2023). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11K50 28A80 PDFBibTeX XMLCite \textit{B. Tan} et al., Sci. China, Math. 66, No. 5, 935--956 (2023; Zbl 1522.11080) Full Text: DOI
Grepstad, Sigrid; Neumüller, Mario; Zafeiropoulos, Agamemnon On the order of magnitude of Sudler products. II. (English) Zbl 1534.11092 Int. J. Number Theory 19, No. 5, 955-996 (2023). Reviewer: Mykhaylo Pahirya (Uzhhorod) MSC: 11J70 11K50 PDFBibTeX XMLCite \textit{S. Grepstad} et al., Int. J. Number Theory 19, No. 5, 955--996 (2023; Zbl 1534.11092) Full Text: DOI arXiv
Lukyanenko, Anton; Vandehey, Joseph Ergodicity of Iwasawa continued fractions via markable hyperbolic geodesics. (English) Zbl 1517.37011 Ergodic Theory Dyn. Syst. 43, No. 5, 1666-1711 (2023). MSC: 37A44 37A25 37D40 11K50 PDFBibTeX XMLCite \textit{A. Lukyanenko} and \textit{J. Vandehey}, Ergodic Theory Dyn. Syst. 43, No. 5, 1666--1711 (2023; Zbl 1517.37011) Full Text: DOI arXiv
Charlier, Émilie; Cisternino, Célia; Dajani, Karma Dynamical behavior of alternate base expansions. (English) Zbl 1525.11009 Ergodic Theory Dyn. Syst. 43, No. 3, 827-860 (2023). Reviewer: Wolfgang Steiner (Paris) MSC: 11A63 11K50 37A44 37E05 28D05 PDFBibTeX XMLCite \textit{É. Charlier} et al., Ergodic Theory Dyn. Syst. 43, No. 3, 827--860 (2023; Zbl 1525.11009) Full Text: DOI arXiv
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
Hauke, Manuel Metric density results for the value distribution of Sudler products. (English) Zbl 1521.11048 Proc. Am. Math. Soc. 151, No. 6, 2339-2351 (2023). Reviewer: Mykhaylo Pahirya (Uzhhorod) MSC: 11J83 11J70 11K50 11K60 PDFBibTeX XMLCite \textit{M. Hauke}, Proc. Am. Math. Soc. 151, No. 6, 2339--2351 (2023; Zbl 1521.11048) Full Text: DOI arXiv
Shang, Lei; Wu, Min On the growth behavior of partial quotients in continued fractions. (English) Zbl 1519.11044 Arch. Math. 120, No. 3, 297-305 (2023). Reviewer: Manuel Hauke (Graz) MSC: 11K50 26A21 28A78 28A80 11J83 PDFBibTeX XMLCite \textit{L. Shang} and \textit{M. Wu}, Arch. Math. 120, No. 3, 297--305 (2023; Zbl 1519.11044) Full Text: DOI
Fang, Lulu; Ma, Jihua; Song, Kunkun; Wu, Min Dimensions of certain sets of continued fractions with non-decreasing partial quotients. (English) Zbl 1521.11049 Ramanujan J. 60, No. 4, 965-980 (2023). Reviewer: Mykhaylo Pahirya (Uzhhorod) MSC: 11K50 28A80 PDFBibTeX XMLCite \textit{L. Fang} et al., Ramanujan J. 60, No. 4, 965--980 (2023; Zbl 1521.11049) 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
Banaji, Amlan; Fraser, Jonathan M. Intermediate dimensions of infinitely generated attractors. (English) Zbl 07662347 Trans. Am. Math. Soc. 376, No. 4, 2449-2479 (2023). MSC: 28A80 37B10 11K50 PDFBibTeX XMLCite \textit{A. Banaji} and \textit{J. M. Fraser}, Trans. Am. Math. Soc. 376, No. 4, 2449--2479 (2023; Zbl 07662347) Full Text: DOI arXiv
Horesh, Tal; Paulin, Frédéric Effective equidistribution of lattice points in positive characteristic. (English. French summary) Zbl 1516.11074 J. Théor. Nombres Bordx. 34, No. 3, 679-703 (2023). Reviewer: Mykhaylo Pahirya (Uzhhorod) MSC: 11J70 11N45 14G17 20G30 11K50 28C10 11P21 PDFBibTeX XMLCite \textit{T. Horesh} and \textit{F. Paulin}, J. Théor. Nombres Bordx. 34, No. 3, 679--703 (2023; Zbl 1516.11074) Full Text: DOI arXiv
Baumgartner, Alexander; Pollicott, Mark Complex Continued Fractions and Extremal Theory. arXiv:2401.00626 Preprint, arXiv:2401.00626 [math.DS] (2023). MSC: 37D40 11K50 28D05 BibTeX Cite \textit{A. Baumgartner} and \textit{M. Pollicott}, ``Complex Continued Fractions and Extremal Theory'', Preprint, arXiv:2401.00626 [math.DS] (2023) Full Text: arXiv OA License
Dajani, Karma; Kraaikamp, Cor; Sanderson, Slade A unifying theory for metrical results on regular continued fraction convergents and mediants. arXiv:2312.13988 Preprint, arXiv:2312.13988 [math.DS] (2023). MSC: 11K50 11A55 11J70 BibTeX Cite \textit{K. Dajani} et al., ``A unifying theory for metrical results on regular continued fraction convergents and mediants'', Preprint, arXiv:2312.13988 [math.DS] (2023) Full Text: arXiv OA License
Borda, Bence; Frühwirth, Lorenz; Hauke, Manuel Limit laws for cotangent and Diophantine sums. arXiv:2308.12085 Preprint, arXiv:2308.12085 [math.NT] (2023). MSC: 11J83 11K50 11L03 37E10 60F05 BibTeX Cite \textit{B. Borda} et al., ``Limit laws for cotangent and Diophantine sums'', Preprint, arXiv:2308.12085 [math.NT] (2023) Full Text: arXiv OA License
Fisher, Albert M.; Zhang, Xuan Uniform distribution mod \(1\) for sequences of ergodic sums and continued fractions. arXiv:2307.14843 Preprint, arXiv:2307.14843 [math.DS] (2023). MSC: 11K50 11K06 37A50 BibTeX Cite \textit{A. M. Fisher} and \textit{X. Zhang}, ``Uniform distribution mod $1$ for sequences of ergodic sums and continued fractions'', Preprint, arXiv:2307.14843 [math.DS] (2023) Full Text: arXiv OA License
Merriman, Claire Geodesic flows and slow downs of continued fraction maps. arXiv:2307.11700 Preprint, arXiv:2307.11700 [math.DS] (2023). MSC: 11K50 11J70 BibTeX Cite \textit{C. Merriman}, ``Geodesic flows and slow downs of continued fraction maps'', Preprint, arXiv:2307.11700 [math.DS] (2023) Full Text: arXiv OA License
Baker, Simon; Sahlsten, Tuomas Spectral gaps and Fourier dimension for self-conformal sets with overlaps. arXiv:2306.01389 Preprint, arXiv:2306.01389 [math.DS] (2023). MSC: 42A38 11K50 37C30 60F10 BibTeX Cite \textit{S. Baker} and \textit{T. Sahlsten}, ``Spectral gaps and Fourier dimension for self-conformal sets with overlaps'', Preprint, arXiv:2306.01389 [math.DS] (2023) Full Text: arXiv OA License
Bonanno, Claudio; Schindler, Tanja I. Almost sure limit theorems with applications to non-regular continued fraction algorithms. arXiv:2304.01132 Preprint, arXiv:2304.01132 [math.DS] (2023). MSC: 37A40 37A25 60F15 11K50 BibTeX Cite \textit{C. Bonanno} and \textit{T. I. Schindler}, ``Almost sure limit theorems with applications to non-regular continued fraction algorithms'', Preprint, arXiv:2304.01132 [math.DS] (2023) Full Text: arXiv OA License
Calta, Kariane; Kraaikamp, Cor; Schmidt, Thomas A. Continuity of entropy for all \(\alpha\)-deformations of an infinite class of continued fraction transformations. arXiv:2303.09708 Preprint, arXiv:2303.09708 [math.DS] (2023). MSC: 11K50 37A10 37E05 28D20 37D40 BibTeX Cite \textit{K. Calta} et al., ``Continuity of entropy for all $\alpha$-deformations of an infinite class of continued fraction transformations'', Preprint, arXiv:2303.09708 [math.DS] (2023) Full Text: arXiv OA License
Borda, Bence Equidistribution of continued fraction convergents in \(\mathrm{SL}(2,\mathbb{Z}_m)\) with an application to local discrepancy. arXiv:2303.08504 Preprint, arXiv:2303.08504 [math.DS] (2023). MSC: 11K50 37A50 37E10 BibTeX Cite \textit{B. Borda}, ``Equidistribution of continued fraction convergents in $\mathrm{SL}(2,\mathbb{Z}_m)$ with an application to local discrepancy'', Preprint, arXiv:2303.08504 [math.DS] (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
Lukyanenko, Anton; Vandehey, Joseph Serendipitous decompositions of higher-dimensional continued fractions. arXiv:2303.02249 Preprint, arXiv:2303.02249 [math.DS] (2023). MSC: 11K50 37A44 11R52 BibTeX Cite \textit{A. Lukyanenko} and \textit{J. Vandehey}, ``Serendipitous decompositions of higher-dimensional continued fractions'', Preprint, arXiv:2303.02249 [math.DS] (2023) Full Text: arXiv OA License
Minelli, Paolo; Sourmelidis, Athanasios; Technau, Marc On restricted averages of Dedekind sums. arXiv:2301.00441 Preprint, arXiv:2301.00441 [math.NT] (2023). MSC: 11A55 11F20 11K50 11J25 BibTeX Cite \textit{P. Minelli} et al., ``On restricted averages of Dedekind sums'', Preprint, arXiv:2301.00441 [math.NT] (2023) Full Text: arXiv OA License
Conze, Jean-Pierre; Le Borgne, Stéphane On the CLT for rotations and BV functions. (English) Zbl 1518.60027 Ann. Math. Blaise Pascal 29, No. 1, 51-97 (2022). Reviewer: Fraser Daly (Edinburgh) MSC: 60F05 37E10 37A25 37A10 37A05 37A20 11K50 11K60 PDFBibTeX XMLCite \textit{J.-P. Conze} and \textit{S. Le Borgne}, Ann. Math. Blaise Pascal 29, No. 1, 51--97 (2022; Zbl 1518.60027) 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 PDFBibTeX XMLCite \textit{M. V. Pratsiovytyi} et al., Mat. Stud. 58, No. 1, 3--12 (2022; Zbl 1517.11096) Full Text: DOI
Zweimüller, Roland Hitting times and positions in rare events. (Temps d’atteinte et positions pour les événements rares.) (English. French summary) Zbl 1522.37011 Ann. Henri Lebesgue 5, 1361-1415 (2022). MSC: 37A50 37A05 37A25 37A30 37C30 60F05 11K50 PDFBibTeX XMLCite \textit{R. Zweimüller}, Ann. Henri Lebesgue 5, 1361--1415 (2022; Zbl 1522.37011) Full Text: DOI arXiv OA License
Sebe, Gabriela Ileana; Lascu, Dan Two asymptotic distributions related to Rényi-type continued fraction expansions. (English) Zbl 1524.11134 Period. Math. Hung. 85, No. 2, 380-398 (2022). Reviewer: Marcel G. de Bruin (Heemstede) MSC: 11J70 11K50 28D05 60J20 PDFBibTeX XMLCite \textit{G. I. Sebe} and \textit{D. Lascu}, Period. Math. Hung. 85, No. 2, 380--398 (2022; Zbl 1524.11134) Full Text: DOI arXiv
Hedvig, Danielle; Gorodetski, Masha On Cantor sets defined by generalized continued fractions. (English) Zbl 1502.11007 Undergrad. Math J. 23, No. 2, Paper No. 2, 16 p. (2022). MSC: 11A55 11K50 28A80 37F99 PDFBibTeX XMLCite \textit{D. Hedvig} and \textit{M. Gorodetski}, Undergrad. Math J. 23, No. 2, Paper No. 2, 16 p. (2022; Zbl 1502.11007) Full Text: Link
Moroz, M. P. Gauss-Kuzmin problem for the difference Engel-series representation of real numbers. (English. Ukrainian original) Zbl 1509.11073 Ukr. Math. J. 74, No. 7, 1149-1154 (2022); translation from Ukr. Mat. Zh. 74, No. 7, 1004-1008 (2022). Reviewer: Manuel Hauke (Graz) MSC: 11K55 11J70 11K50 PDFBibTeX XMLCite \textit{M. P. Moroz}, Ukr. Math. J. 74, No. 7, 1149--1154 (2022; Zbl 1509.11073); translation from Ukr. Mat. Zh. 74, No. 7, 1004--1008 (2022) Full Text: DOI
Shkredov, Ilya D. Growth in Chevalley groups relatively to parabolic subgroups and some applications. (English) Zbl 1523.11023 Rev. Mat. Iberoam. 38, No. 6, 1945-1973 (2022). MSC: 11B30 11K50 20G05 20G40 PDFBibTeX XMLCite \textit{I. D. Shkredov}, Rev. Mat. Iberoam. 38, No. 6, 1945--1973 (2022; Zbl 1523.11023) Full Text: DOI arXiv
Huang, Lingling; Ma, Chao A dimensional result on the product of consecutive partial quotients in continued fractions. (English) Zbl 1507.11068 J. Aust. Math. Soc. 113, No. 3, 357-385 (2022). Reviewer: Manuel Hauke (Graz) MSC: 11K50 11J70 28A80 PDFBibTeX XMLCite \textit{L. Huang} and \textit{C. Ma}, J. Aust. Math. Soc. 113, No. 3, 357--385 (2022; Zbl 1507.11068) Full Text: DOI
Garrity, Thomas On Gauss-Kuzmin statistics and the transfer operator for a multidimensional continued fraction algorithm: the triangle map. (English) Zbl 1513.11144 Publ. Math. Debr. 101, No. 3-4, 263-280 (2022). Reviewer: Marcel G. de Bruin (Heemstede) MSC: 11K50 11J70 37C30 PDFBibTeX XMLCite \textit{T. Garrity}, Publ. Math. Debr. 101, No. 3--4, 263--280 (2022; Zbl 1513.11144) Full Text: DOI arXiv
Kan, I. D.; Odnorob, V. A. Linear inhomogeneous congruences in continued fractions on finite alphabets. (English. Russian original) Zbl 1504.11080 Math. Notes 112, No. 3, 424-435 (2022); translation from Mat. Zametki 112, No. 3, 412-425 (2022). Reviewer: Marcel G. de Bruin (Heemstede) MSC: 11J70 11A55 11K50 PDFBibTeX XMLCite \textit{I. D. Kan} and \textit{V. A. Odnorob}, Math. Notes 112, No. 3, 424--435 (2022; Zbl 1504.11080); translation from Mat. Zametki 112, No. 3, 412--425 (2022) Full Text: DOI
Siskaki, Maria Distribution of the reduced quadratic irrationals arising from the odd continued fraction expansion. (English) Zbl 1498.11027 Indag. Math., New Ser. 33, No. 6, 1189-1220 (2022). MSC: 11A55 11K50 11J70 PDFBibTeX XMLCite \textit{M. Siskaki}, Indag. Math., New Ser. 33, No. 6, 1189--1220 (2022; Zbl 1498.11027) Full Text: DOI arXiv
Andersson, Martin; Guihéneuf, Pierre-Antoine Historic behaviour vs. physical measures for irrational flows with multiple stopping points. (English) Zbl 1510.37009 Adv. Math. 409, Part A, Article ID 108626, 71 p. (2022). MSC: 37A30 37C40 37A44 37E35 11K50 11J71 PDFBibTeX XMLCite \textit{M. Andersson} and \textit{P.-A. Guihéneuf}, Adv. Math. 409, Part A, Article ID 108626, 71 p. (2022; Zbl 1510.37009) Full Text: DOI arXiv HAL
Ei, Hiromi; Nakada, Hitoshi; Natsui, Rie On the existence of the Legendre constants for some complex continued fraction expansions over imaginary quadratic fields. (English) Zbl 1504.11077 J. Number Theory 238, 106-132 (2022). Reviewer: Vijay Yadav (Virar) MSC: 11J25 11J70 30B70 11K50 40A15 PDFBibTeX XMLCite \textit{H. Ei} et al., J. Number Theory 238, 106--132 (2022; Zbl 1504.11077) Full Text: DOI
Kan, I. D. Strengthening of the Bourgain-Kontorovich theorem on small values of Hausdorff dimension. (English. Russian original) Zbl 1502.11085 Funct. Anal. Appl. 56, No. 1, 48-60 (2022); translation from Funkts. Anal. Prilozh. 56, No. 1, 66-80 (2022). Reviewer: Manuel Hauke (Graz) MSC: 11K50 PDFBibTeX XMLCite \textit{I. D. Kan}, Funct. Anal. Appl. 56, No. 1, 48--60 (2022; Zbl 1502.11085); translation from Funkts. Anal. Prilozh. 56, No. 1, 66--80 (2022) Full Text: DOI
Schweiger, Fritz The continued fraction map composed with fractional linear maps. (English) Zbl 1497.11020 Integers 22, Paper A22, 12 p. (2022). Reviewer: Marcel G. de Bruin (Heemstede) MSC: 11A55 11K50 28D05 PDFBibTeX XMLCite \textit{F. Schweiger}, Integers 22, Paper A22, 12 p. (2022; Zbl 1497.11020) Full Text: Link
Zhuravlev, V. G. Symmetry properties of karyon tilings. (English. Russian original) Zbl 1496.52023 J. Math. Sci., New York 264, No. 2, 150-182 (2022); translation from Zap. Nauchn. Semin. POMI 502, 74-121 (2021). Reviewer: Elizaveta Zamorzaeva (Chişinău) MSC: 52C22 11J70 11K50 PDFBibTeX XMLCite \textit{V. G. Zhuravlev}, J. Math. Sci., New York 264, No. 2, 150--182 (2022; Zbl 1496.52023); translation from Zap. Nauchn. Semin. POMI 502, 74--121 (2021) Full Text: DOI
Zhuravlev, V. G. Matrix-fractional invariance of Diophantine systems of linear forms. (English. Russian original) Zbl 1490.11070 J. Math. Sci., New York 264, No. 2, 103-121 (2022); translation from Zap. Nauchn. Semin. POMI 502, 5-31 (2021). MSC: 11J70 11K50 11J13 11J25 PDFBibTeX XMLCite \textit{V. G. Zhuravlev}, J. Math. Sci., New York 264, No. 2, 103--121 (2022; Zbl 1490.11070); translation from Zap. Nauchn. Semin. POMI 502, 5--31 (2021) Full Text: DOI
Shang, Lei; Wu, Min Some results on the largest partial quotient in continued fractions. (English) Zbl 1495.11092 Fractals 30, No. 4, Article ID 2250095, 8 p. (2022). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11K50 28A80 11J70 PDFBibTeX XMLCite \textit{L. Shang} and \textit{M. Wu}, Fractals 30, No. 4, Article ID 2250095, 8 p. (2022; Zbl 1495.11092) Full Text: DOI
Alcaraz Barrera, Rafael; González Robert, Gerardo Chaotic sets and Hausdorff dimension for Lüroth expansions. (English) Zbl 1494.11066 J. Math. Anal. Appl. 514, No. 2, Article ID 126324, 29 p. (2022). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11K55 28A80 11K50 PDFBibTeX XMLCite \textit{R. Alcaraz Barrera} and \textit{G. González Robert}, J. Math. Anal. Appl. 514, No. 2, Article ID 126324, 29 p. (2022; Zbl 1494.11066) Full Text: DOI arXiv
Carminati, Carlo; Tiozzo, Giulio The bifurcation locus for numbers of bounded type. (English) Zbl 1507.11067 Ergodic Theory Dyn. Syst. 42, No. 7, 2239-2269 (2022). Reviewer: Simon Kristensen (Aarhus) MSC: 11K50 11A55 11J06 37C45 37E05 PDFBibTeX XMLCite \textit{C. Carminati} and \textit{G. Tiozzo}, Ergodic Theory Dyn. Syst. 42, No. 7, 2239--2269 (2022; Zbl 1507.11067) Full Text: DOI arXiv
Karpenkov, Oleg N. Geometry of continued fractions. 2nd edition. (English) Zbl 1487.11003 Algorithms and Computation in Mathematics 26. Berlin: Springer (ISBN 978-3-662-65276-3/hbk; 978-3-662-65277-0/ebook). xx, 451 p. (2022). MSC: 11-02 11J70 11A55 11H55 11K50 30B70 40A15 PDFBibTeX XMLCite \textit{O. N. Karpenkov}, Geometry of continued fractions. 2nd edition. Berlin: Springer (2022; Zbl 1487.11003) Full Text: DOI
Nandakumar, Satyadev; Vishnoi, Prateek On continued fraction randomness and normality. (English) Zbl 1512.11060 Inf. Comput. 285, Part B, Article ID 104876, 17 p. (2022). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11K50 68Q30 PDFBibTeX XMLCite \textit{S. Nandakumar} and \textit{P. Vishnoi}, Inf. Comput. 285, Part B, Article ID 104876, 17 p. (2022; Zbl 1512.11060) Full Text: DOI
Merriman, Claire Geodesic flows and the mother of all continued fractions. (English) Zbl 1494.11065 Int. J. Number Theory 18, No. 4, 931-953 (2022). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11K50 37D40 11K55 11K60 PDFBibTeX XMLCite \textit{C. Merriman}, Int. J. Number Theory 18, No. 4, 931--953 (2022; Zbl 1494.11065) Full Text: DOI arXiv
Fang, Lulu; Shang, Lei; Wu, Min On upper and lower fast Khintchine spectra of continued fractions. (English) Zbl 1493.11112 Forum Math. 34, No. 3, 821-830 (2022). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11K50 37E05 28A80 PDFBibTeX XMLCite \textit{L. Fang} et al., Forum Math. 34, No. 3, 821--830 (2022; Zbl 1493.11112) Full Text: DOI arXiv
Nakada, Hitoshi An entropy problem of the \(\alpha \)-continued fraction maps. (English) Zbl 1492.11116 Osaka J. Math. 59, No. 2, 453-464 (2022). Reviewer: Takao Komatsu (Hangzhou) MSC: 11J70 11K50 37A10 PDFBibTeX XMLCite \textit{H. Nakada}, Osaka J. Math. 59, No. 2, 453--464 (2022; Zbl 1492.11116) Full Text: Link
Karpenkov, Oleg On Hermite’s problem, Jacobi-Perron type algorithms, and Dirichlet groups. (English) Zbl 1492.11115 Acta Arith. 203, No. 1, 27-48 (2022). Reviewer: Marcel G. de Bruin (Heemstede) MSC: 11J70 11K50 11A55 11A05 PDFBibTeX XMLCite \textit{O. Karpenkov}, Acta Arith. 203, No. 1, 27--48 (2022; Zbl 1492.11115) Full Text: DOI arXiv
Haddley, A.; Nair, R. On Schneider’s continued fraction map on a complete non-Archimedean field. (English) Zbl 1491.11074 Arnold Math. J. 8, No. 1, 19-38 (2022). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11K50 11A55 11J70 PDFBibTeX XMLCite \textit{A. Haddley} and \textit{R. Nair}, Arnold Math. J. 8, No. 1, 19--38 (2022; Zbl 1491.11074) Full Text: DOI OA License
Hiary, Ghaith; Vandehey, Joseph Calculations of the invariant measure for Hurwitz continued fractions. (English) Zbl 1500.11094 Exp. Math. 31, No. 1, 324-336 (2022). Reviewer: Manuel Hauke (Graz) MSC: 11Y65 11K50 37A44 PDFBibTeX XMLCite \textit{G. Hiary} and \textit{J. Vandehey}, Exp. Math. 31, No. 1, 324--336 (2022; Zbl 1500.11094) Full Text: DOI arXiv
Liao, Lingmin; Rams, Michał Big Birkhoff sums in \(d\)-decaying Gauss like iterated function systems. (English) Zbl 1490.11077 Stud. Math. 264, No. 1, 1-25 (2022). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11K50 37E05 28A80 PDFBibTeX XMLCite \textit{L. Liao} and \textit{M. Rams}, Stud. Math. 264, No. 1, 1--25 (2022; Zbl 1490.11077) Full Text: DOI arXiv
Wang, Jinfeng; Zhang, Yuan Metric theory of partial quotients of \(N\)-continued fractions. (English) Zbl 1489.11111 Fractals 30, No. 1, Article ID 2250022, 16 p. (2022). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11K50 11K55 11J70 PDFBibTeX XMLCite \textit{J. Wang} and \textit{Y. Zhang}, Fractals 30, No. 1, Article ID 2250022, 16 p. (2022; Zbl 1489.11111) Full Text: DOI
Bakhtawar, Ayreena Hausdorff dimension for the set of points connected with the generalized Jarník-Besicovitch set. (English) Zbl 1498.11166 J. Aust. Math. Soc. 112, No. 1, 1-29 (2022). Reviewer: Enrico Zoli (Faenza) MSC: 11K50 11J70 11J83 28A78 PDFBibTeX XMLCite \textit{A. Bakhtawar}, J. Aust. Math. Soc. 112, No. 1, 1--29 (2022; Zbl 1498.11166) Full Text: DOI arXiv
Takahasi, Hiroki Large deviation principle for the backward continued fraction expansion. (English) Zbl 1486.11096 Stochastic Processes Appl. 144, 153-172 (2022). Reviewer: Takao Komatsu (Hangzhou) MSC: 11K50 37A40 60F10 37A44 37A50 PDFBibTeX XMLCite \textit{H. Takahasi}, Stochastic Processes Appl. 144, 153--172 (2022; Zbl 1486.11096) Full Text: DOI
Bettin, Sandro; Drappeau, Sary On quantum modular forms of non-zero weights. arXiv:2210.07854 Preprint, arXiv:2210.07854 [math.NT] (2022). MSC: 11F03 11A05 11K50 11F20 11F67 11F99 BibTeX Cite \textit{S. Bettin} and \textit{S. Drappeau}, ``On quantum modular forms of non-zero weights'', Preprint, arXiv:2210.07854 [math.NT] (2022) Full Text: arXiv OA License
Drappeau, Sary; Nordentoft, Asbjørn Christian Central values of additive twists of Maaß forms \(L\)-functions. arXiv:2208.14346 Preprint, arXiv:2208.14346 [math.NT] (2022). MSC: 11F03 11F67 11K50 60F05 BibTeX Cite \textit{S. Drappeau} and \textit{A. C. Nordentoft}, ``Central values of additive twists of Maaß forms $L$-functions'', Preprint, arXiv:2208.14346 [math.NT] (2022) Full Text: arXiv OA License
Shimada, Tsutomu Three subjects of the Jacobi-Perron algorithm of dimension 2. arXiv:2208.09093 Preprint, arXiv:2208.09093 [math.NT] (2022). MSC: 11J70 11A55 11K50 BibTeX Cite \textit{T. Shimada}, ``Three subjects of the Jacobi-Perron algorithm of dimension 2'', Preprint, arXiv:2208.09093 [math.NT] (2022) Full Text: arXiv OA License