Vielhaber, Michael; del Pilar Canales Chacón, Mónica; Ceballos, Sergio Jara Rational complexity of binary sequences, F\(\mathbb{Q}\)SRs, and pseudo-ultrametric continued fractions in \(\mathbb{R}\). (English) Zbl 07513152 Cryptogr. Commun. 14, No. 2, 433-457 (2022). MSC: 94A55 68Q19 68P30 94A60 PDF BibTeX XML Cite \textit{M. Vielhaber} et al., Cryptogr. Commun. 14, No. 2, 433--457 (2022; Zbl 07513152) Full Text: DOI OpenURL
Han, Min; Zhang, Hongliang; You, Xu; Sun, Zhaoxu Approximations for the ratio of the gamma functions via the digamma function and its applications. (English) Zbl 1475.33002 Bull. Braz. Math. Soc. (N.S.) 52, No. 2, 415-427 (2021). MSC: 33B15 26D15 41A25 PDF BibTeX XML Cite \textit{M. Han} et al., Bull. Braz. Math. Soc. (N.S.) 52, No. 2, 415--427 (2021; Zbl 1475.33002) Full Text: DOI OpenURL
Jaerisch, Johannes; Takahasi, Hiroki Mixed multifractal spectra of Birkhoff averages for non-uniformly expanding one-dimensional Markov maps with countably many branches. (English) Zbl 1483.11162 Adv. Math. 385, Article ID 107778, 45 p. (2021). Reviewer: Chryssoula Ganatsiou (Larissa) MSC: 11K55 37D25 37D35 37D40 PDF BibTeX XML Cite \textit{J. Jaerisch} and \textit{H. Takahasi}, Adv. Math. 385, Article ID 107778, 45 p. (2021; Zbl 1483.11162) Full Text: DOI arXiv OpenURL
Harase, Shin A table of short-period Tausworthe generators for Markov chain quasi-Monte Carlo. (English) Zbl 1462.65011 J. Comput. Appl. Math. 384, Article ID 113136, 12 p. (2021). MSC: 65C10 11K45 PDF BibTeX XML Cite \textit{S. Harase}, J. Comput. Appl. Math. 384, Article ID 113136, 12 p. (2021; Zbl 1462.65011) Full Text: DOI arXiv OpenURL
Özer, Özen Fundamental units for real quadratic fields determined by continued fraction conditions. (English) Zbl 07513020 AIMS Math. 5, No. 4, 2899-2908 (2020). MSC: 11R27 11A55 11R11 PDF BibTeX XML Cite \textit{Ö. Özer}, AIMS Math. 5, No. 4, 2899--2908 (2020; Zbl 07513020) Full Text: DOI OpenURL
Elia, M. Continued fractions and factoring. (English) Zbl 1475.11013 Rend. Semin. Mat., Univ. Politec. Torino 78, No. 1, 83-101 (2020). Reviewer: Michael M. Pahirya (Mukachevo) MSC: 11A55 11A51 PDF BibTeX XML Cite \textit{M. Elia}, Rend. Semin. Mat., Univ. Politec. Torino 78, No. 1, 83--101 (2020; Zbl 1475.11013) Full Text: arXiv Link OpenURL
Wakhare, Tanay; Kendrick, Caleb; Chung, Matthew; Cassell, Catherine; Santini, Stefano; Mosley, William Colin; Raghu, Anand; Morrison, Robert; Schurman, Iman; Beal, Timothy Kevin; Patrick, Matthew Hyper \(b\)-ary expansions and Stern polynomials. (English) Zbl 1468.11084 Integers 20, Paper A88, 14 p. (2020). Reviewer: Mihai Cipu (Bucureşti) MSC: 11B83 05A15 11A63 PDF BibTeX XML Cite \textit{T. Wakhare} et al., Integers 20, Paper A88, 14 p. (2020; Zbl 1468.11084) Full Text: arXiv Link OpenURL
Liu, Wencai The Möbius transformation of continued fractions with bounded upper and lower partial quotients. (English) Zbl 1472.11044 Turk. J. Math. 44, No. 3, 813-824 (2020). MSC: 11A55 PDF BibTeX XML Cite \textit{W. Liu}, Turk. J. Math. 44, No. 3, 813--824 (2020; Zbl 1472.11044) Full Text: DOI arXiv OpenURL
Nagayoshi, Toshifumi; Takashima, Keizo On the \(\chi^2\) statistics of leading digits of irrational rotations with a large first or second partial quotient. (English) Zbl 1463.11126 Period. Math. Hung. 80, No. 2, 158-171 (2020). MSC: 11K38 11K31 11A55 PDF BibTeX XML Cite \textit{T. Nagayoshi} and \textit{K. Takashima}, Period. Math. Hung. 80, No. 2, 158--171 (2020; Zbl 1463.11126) Full Text: DOI OpenURL
Olsen, L.; West, M. Average frequencies of digits in infinite IFS’s and applications to continued fractions and Lüroth expansions. (English) Zbl 1448.28011 Monatsh. Math. 193, No. 2, 441-478 (2020). Reviewer: Peter Massopust (München) MSC: 28A80 PDF BibTeX XML Cite \textit{L. Olsen} and \textit{M. West}, Monatsh. Math. 193, No. 2, 441--478 (2020; Zbl 1448.28011) Full Text: DOI OpenURL
Duverney, Daniel; Kurosawa, Takeshi; Shiokawa, Iekata Irrationality exponents of generalized Hone series. (English) Zbl 1452.11088 Monatsh. Math. 193, No. 2, 291-303 (2020). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J82 11J70 PDF BibTeX XML Cite \textit{D. Duverney} et al., Monatsh. Math. 193, No. 2, 291--303 (2020; Zbl 1452.11088) Full Text: DOI arXiv OpenURL
Grepstad, Sigrid; Kaltenböck, Lisa; Neumüller, Mario On the asymptotic behavior of the sine product \(\Pi^n_{r =1} |2 \sin\pi r \alpha |\). (English) Zbl 1459.11017 Bilyk, Dmitriy (ed.) et al., Discrepancy theory. Berlin: De Gruyter. Radon Ser. Comput. Appl. Math. 26, 103-115 (2020). MSC: 11A55 41A60 11B39 11L15 11K31 PDF BibTeX XML Cite \textit{S. Grepstad} et al., Radon Ser. Comput. Appl. Math. 26, 103--115 (2020; Zbl 1459.11017) Full Text: DOI arXiv OpenURL
Louboutin, Stéphane R. On the continued fraction expansions of \(\sqrt{p}\) and \(\sqrt{2p}\) for primes \(p\equiv 3\pmod 4\). (English) Zbl 1442.11015 Chakraborty, Kalyan (ed.) et al., Class groups of number fields and related topics. Collected papers presented at the first international conference, ICCGNFRT, Harish-Chandra Research Institute, Allahabad, India, September 4–7, 2017. Singapore: Springer. 175-178 (2020). Reviewer: Oleg Karpenkov (Liverpool) MSC: 11A55 11R11 PDF BibTeX XML Cite \textit{S. R. Louboutin}, in: Class groups of number fields and related topics. Collected papers presented at the first international conference, ICCGNFRT, Harish-Chandra Research Institute, Allahabad, India, September 4--7, 2017. Singapore: Springer. 175--178 (2020; Zbl 1442.11015) Full Text: DOI OpenURL
Paulin, Frédéric; Shapira, Uri On continued fraction expansions of quadratic irrationals in positive characteristic. (English) Zbl 1439.11163 Groups Geom. Dyn. 14, No. 1, 81-105 (2020). Reviewer: Oleg Karpenkov (Liverpool) MSC: 11J70 20E08 20G25 37A17 22F30 PDF BibTeX XML Cite \textit{F. Paulin} and \textit{U. Shapira}, Groups Geom. Dyn. 14, No. 1, 81--105 (2020; Zbl 1439.11163) Full Text: DOI arXiv OpenURL
Parkkonen, Jouni; Paulin, Frédéric On the nonarchimedean quadratic Lagrange spectra. (English) Zbl 1461.11104 Math. Z. 294, No. 3-4, 1065-1084 (2020). Reviewer: Oleg Karpenkov (Liverpool) MSC: 11J06 11J70 11R11 20E08 20G25 PDF BibTeX XML Cite \textit{J. Parkkonen} and \textit{F. Paulin}, Math. Z. 294, No. 3--4, 1065--1084 (2020; Zbl 1461.11104) Full Text: DOI arXiv Link OpenURL
Öztürk, Arzu Özkoç; Tekcan, Ahmet Some algebraic relations on an integer sequence with fixed parameter. (English) Zbl 1463.11042 Acta Univ. Apulensis, Math. Inform. 58, 53-66 (2019). MSC: 11B39 05A19 PDF BibTeX XML Cite \textit{A. Ö. Öztürk} and \textit{A. Tekcan}, Acta Univ. Apulensis, Math. Inform. 58, 53--66 (2019; Zbl 1463.11042) Full Text: DOI OpenURL
Liu, Wencai Letter to the editor: proof of the HRT conjecture for almost every \((1,3)\) configuration. (English) Zbl 1417.42001 J. Fourier Anal. Appl. 25, No. 4, 1350-1360 (2019). MSC: 42A05 11K60 11K70 PDF BibTeX XML Cite \textit{W. Liu}, J. Fourier Anal. Appl. 25, No. 4, 1350--1360 (2019; Zbl 1417.42001) Full Text: DOI arXiv OpenURL
Mundici, Daniele Triangles in Diophantine approximation. (English) Zbl 1459.11018 J. Number Theory 201, 176-189 (2019). MSC: 11A55 11B57 11Y65 11J70 11K60 14M25 22F05 37A20 37C85 40A15 PDF BibTeX XML Cite \textit{D. Mundici}, J. Number Theory 201, 176--189 (2019; Zbl 1459.11018) Full Text: DOI OpenURL
Coons, Michael Mahler takes a regular view of Zaremba. (English) Zbl 1416.11013 Integers 18A, Paper A6, 15 p. (2018). Reviewer: Michael M. Pahirya (Mukachevo) MSC: 11A55 11J70 11K50 PDF BibTeX XML Cite \textit{M. Coons}, Integers 18A, Paper A6, 15 p. (2018; Zbl 1416.11013) Full Text: arXiv Link OpenURL
Giuliano, Rita Convergence results for Oppenheim expansions. (English) Zbl 1410.11108 Monatsh. Math. 187, No. 3, 509-530 (2018). Reviewer: Enrico Zoli (Firenze) MSC: 11K55 60F05 PDF BibTeX XML Cite \textit{R. Giuliano}, Monatsh. Math. 187, No. 3, 509--530 (2018; Zbl 1410.11108) Full Text: DOI OpenURL
Aka, Menny; Shapira, Uri On the evolution of continued fractions in a fixed quadratic field. (English) Zbl 1444.11157 J. Anal. Math. 134, No. 1, 335-397 (2018). MSC: 11K50 11A55 37A44 PDF BibTeX XML Cite \textit{M. Aka} and \textit{U. Shapira}, J. Anal. Math. 134, No. 1, 335--397 (2018; Zbl 1444.11157) Full Text: DOI arXiv OpenURL
Hieronymi, Philipp; Terry, Alonza jun. Ostrowski numeration systems, addition, and finite automata. (English) Zbl 1431.11017 Notre Dame J. Formal Logic 59, No. 2, 215-232 (2018). MSC: 11A67 11A55 03B25 68Q25 68R15 PDF BibTeX XML Cite \textit{P. Hieronymi} and \textit{A. Terry jun.}, Notre Dame J. Formal Logic 59, No. 2, 215--232 (2018; Zbl 1431.11017) Full Text: DOI arXiv OpenURL
Mérai, László; Winterhof, Arne On the \(N\)th linear complexity of automatic sequences. (English) Zbl 1416.11042 J. Number Theory 187, 415-429 (2018). Reviewer: John H. Loxton (Greenwich, NSW) MSC: 11B85 11A55 11K16 11Y16 PDF BibTeX XML Cite \textit{L. Mérai} and \textit{A. Winterhof}, J. Number Theory 187, 415--429 (2018; Zbl 1416.11042) Full Text: DOI arXiv OpenURL
Song, Kunkun; Fang, Lulu; Chang, Yuanyang; Ma, Jihua Hausdorff dimension of level sets in Engel continued fraction. (English) Zbl 1399.11136 Publ. Math. 92, No. 3-4, 317-330 (2018). Reviewer: Chryssoula Ganatsiou (Larissa) MSC: 11K55 28A80 PDF BibTeX XML Cite \textit{K. Song} et al., Publ. Math. 92, No. 3--4, 317--330 (2018; Zbl 1399.11136) Full Text: DOI OpenURL
Jaffard, Stéphane; Martin, Bruno Multifractal analysis of the Brjuno function. (English) Zbl 1435.11014 Invent. Math. 212, No. 1, 109-132 (2018). Reviewer: Symon Serbenyuk (Kyiv) MSC: 11A55 11J70 11K50 26A15 26A30 28A80 37F50 PDF BibTeX XML Cite \textit{S. Jaffard} and \textit{B. Martin}, Invent. Math. 212, No. 1, 109--132 (2018; Zbl 1435.11014) Full Text: DOI arXiv OpenURL
Hu, Xiaoyun; Lu, Dawei; Wang, Xiaoguang New quicker sequences and inequalities with continued fraction towards Euler’s constant. (English) Zbl 1426.11136 Result. Math. 73, No. 1, Paper No. 28, 10 p. (2018). MSC: 11Y60 41A25 11A55 33F05 PDF BibTeX XML Cite \textit{X. Hu} et al., Result. Math. 73, No. 1, Paper No. 28, 10 p. (2018; Zbl 1426.11136) Full Text: DOI OpenURL
Bugeaud, Yann; Kim, Dong Han On the expansions of real numbers in two integer bases. (Sur le développement des nombres réels en deux bases entières.) (English. French summary) Zbl 1433.11004 Ann. Inst. Fourier 67, No. 5, 2225-2235 (2017). MSC: 11A63 68R15 PDF BibTeX XML Cite \textit{Y. Bugeaud} and \textit{D. H. Kim}, Ann. Inst. Fourier 67, No. 5, 2225--2235 (2017; Zbl 1433.11004) Full Text: DOI arXiv OpenURL
Shimaru, Naoto; Takashima, Keizo Continued fractions and irrational rotations. (English) Zbl 1399.11131 Period. Math. Hung. 75, No. 2, 155-158 (2017). Reviewer: Christoph Aistleitner (Graz) MSC: 11K38 11K31 11A55 PDF BibTeX XML Cite \textit{N. Shimaru} and \textit{K. Takashima}, Period. Math. Hung. 75, No. 2, 155--158 (2017; Zbl 1399.11131) Full Text: DOI OpenURL
White, Christopher J. Upper bounds for double exponential sums along a subsequence. (English) Zbl 1448.11136 Unif. Distrib. Theory 12, No. 2, 11-24 (2017). MSC: 11J70 11L03 11L07 PDF BibTeX XML Cite \textit{C. J. White}, Unif. Distrib. Theory 12, No. 2, 11--24 (2017; Zbl 1448.11136) Full Text: DOI arXiv OpenURL
Saradha, N. On the length of the period of a real quadratic irrational. (English) Zbl 1400.11021 Indian J. Pure Appl. Math. 48, No. 3, 311-321 (2017). MSC: 11A55 PDF BibTeX XML Cite \textit{N. Saradha}, Indian J. Pure Appl. Math. 48, No. 3, 311--321 (2017; Zbl 1400.11021) Full Text: DOI OpenURL
Akın, Arzu; Teckan, Ahmet The pell equation \(x^2 - (k^2 - 2)y^2 = 1\) and the corresponding integer sequence. (English) Zbl 1399.11083 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 46, 303-325 (2017). MSC: 11D04 11D09 11D75 05A19 11B37 11B39 PDF BibTeX XML Cite \textit{A. Akın} and \textit{A. Teckan}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 46, 303--325 (2017; Zbl 1399.11083) OpenURL
Özer, Özen; Khammas, Ahmed On the real quadratic fields with certain continued fraction expansions and fundamental units. (English) Zbl 1427.11112 Int. J. Nonlinear Anal. Appl. 8, No. 1, 197-208 (2017). MSC: 11R11 11R27 11A55 11R29 PDF BibTeX XML Cite \textit{Ö. Özer} and \textit{A. Khammas}, Int. J. Nonlinear Anal. Appl. 8, No. 1, 197--208 (2017; Zbl 1427.11112) Full Text: DOI OpenURL
Lu, Dawei; Wang, Xiaoguang; Wei, Jie Continued fractions and inequalities about \(\left( 1+\frac{1}{x}\right)^x\). (English) Zbl 1429.41030 Result. Math. 72, No. 4, 2241-2252 (2017). MSC: 41A60 11A55 PDF BibTeX XML Cite \textit{D. Lu} et al., Result. Math. 72, No. 4, 2241--2252 (2017; Zbl 1429.41030) Full Text: DOI OpenURL
Liu, Songhao; Lu, Dawei Improved convergence towards Glaisher-Kinkelin’s and Bendersky-Adamchik’s constants. (English) Zbl 1421.11106 Result. Math. 71, No. 3-4, 731-747 (2017). MSC: 11Y60 11A55 41A25 PDF BibTeX XML Cite \textit{S. Liu} and \textit{D. Lu}, Result. Math. 71, No. 3--4, 731--747 (2017; Zbl 1421.11106) Full Text: DOI OpenURL
Fernández Sánchez, Juan; Trutschnig, Wolfgang A note on singularity of a recently introduced family of Minkowski’s question-mark functions. (Note sur la singularité d’une famille de fonctions “Minkowski’s question-mark” récemment introduite.) (English. French summary) Zbl 1382.37038 C. R., Math., Acad. Sci. Paris 355, No. 9, 956-959 (2017). Reviewer: Christoph Aistleitner (Graz) MSC: 37E05 37A45 28D05 PDF BibTeX XML Cite \textit{J. Fernández Sánchez} and \textit{W. Trutschnig}, C. R., Math., Acad. Sci. Paris 355, No. 9, 956--959 (2017; Zbl 1382.37038) Full Text: DOI OpenURL
Lu, Dawei; Song, Lixin; Xu, Qinxin New continued fraction expansions and inequalities for \(n!\) into negative powers of a triangular number. (English) Zbl 1422.11035 Result. Math. 72, No. 1-2, 765-786 (2017). MSC: 11B65 11J70 11Y60 41A60 26D05 PDF BibTeX XML Cite \textit{D. Lu} et al., Result. Math. 72, No. 1--2, 765--786 (2017; Zbl 1422.11035) Full Text: DOI OpenURL
Petrunin, M. M. \(S\)-units and periodicity of square root in hyperelliptic fields. (English. Russian original) Zbl 1406.11042 Dokl. Math. 95, No. 3, 222-225 (2017); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 474, No. 2, 155-158 (2017). MSC: 11F27 11J70 PDF BibTeX XML Cite \textit{M. M. Petrunin}, Dokl. Math. 95, No. 3, 222--225 (2017; Zbl 1406.11042); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 474, No. 2, 155--158 (2017) Full Text: DOI OpenURL
Ma, Liangang A remark on Liao and Rams’ result on the distribution of the leading partial quotient with growing speed \(e^{n^{1/2}}\) in continued fractions. (Une remarque sur le résultat de Liao et Rams concernant la distribution des fractions continues dont le plus grand quotient partiel croît en \(e^{n^{1/2}}\).) (English. French summary) Zbl 1367.11067 C. R., Math., Acad. Sci. Paris 355, No. 7, 734-737 (2017). MSC: 11K50 11K55 PDF BibTeX XML Cite \textit{L. Ma}, C. R., Math., Acad. Sci. Paris 355, No. 7, 734--737 (2017; Zbl 1367.11067) Full Text: DOI arXiv OpenURL
Kim, Dong Han; Nakada, Hitoshi; Natsui, Rie On the construction of continued fraction normal series in positive characteristic. (English) Zbl 1426.11073 Tokyo J. Math. 39, No. 3, 679-694 (2017). MSC: 11K16 11J70 PDF BibTeX XML Cite \textit{D. H. Kim} et al., Tokyo J. Math. 39, No. 3, 679--694 (2017; Zbl 1426.11073) Full Text: DOI Euclid OpenURL
Dubickas, Artūras On rational approximations to two irrational numbers. (English) Zbl 1428.11129 J. Number Theory 177, 43-59 (2017). MSC: 11J70 11J72 11A55 68R15 PDF BibTeX XML Cite \textit{A. Dubickas}, J. Number Theory 177, 43--59 (2017; Zbl 1428.11129) Full Text: DOI OpenURL
Lu, Dawei; Song, Lixin; Yu, Yang Some quicker continued fraction approximations and inequalities towards Euler’s constant. (English) Zbl 1421.11107 J. Number Theory 175, 100-116 (2017). MSC: 11Y60 11A55 41A60 33F05 PDF BibTeX XML Cite \textit{D. Lu} et al., J. Number Theory 175, 100--116 (2017; Zbl 1421.11107) Full Text: DOI OpenURL
Prats’ovytyĭ, M. V.; Chuĭkov, A. S. The simplest functions associated with the operator of the left-side shift of the elements of the continued fraction expansion of numbers. (Ukrainian. English summary) Zbl 1389.11113 Zb. Pr. Inst. Mat. NAN Ukr. 13, No. 3, 158-173 (2016). MSC: 11K55 11A67 28A80 PDF BibTeX XML Cite \textit{M. V. Prats'ovytyĭ} and \textit{A. S. Chuĭkov}, Zb. Pr. Inst. Mat. NAN Ukr. 13, No. 3, 158--173 (2016; Zbl 1389.11113) OpenURL
Simmons, David The Hurwitz continued fraction expansion as applied to real numbers. (English) Zbl 1372.11007 Enseign. Math. (2) 62, No. 3-4, 475-485 (2016). MSC: 11A55 11J04 PDF BibTeX XML Cite \textit{D. Simmons}, Enseign. Math. (2) 62, No. 3--4, 475--485 (2016; Zbl 1372.11007) Full Text: DOI arXiv OpenURL
Berthé, Valérie \(S\)-adic expansions related to continued fractions. (English) Zbl 1372.37024 RIMS Kôkyûroku Bessatsu B58, 61-84 (2016). MSC: 37B10 37A45 11K50 11A55 68R15 PDF BibTeX XML Cite \textit{V. Berthé}, RIMS Kôkyûroku Bessatsu B58, 61--84 (2016; Zbl 1372.37024) OpenURL
Birk, C.; Liu, L.; Song, Ch. Coupled acoustic response of two-dimensional bounded and unbounded domains using doubly-asymptotic open boundaries. (English) Zbl 1349.76181 J. Comput. Phys. 310, 252-284 (2016). MSC: 76M10 65M60 76Q05 PDF BibTeX XML Cite \textit{C. Birk} et al., J. Comput. Phys. 310, 252--284 (2016; Zbl 1349.76181) Full Text: DOI OpenURL
Cao, Xiaodong; Tanigawa, Yoshio; Zhai, Wenguang Continued fraction expression of the Mathieu series. (English) Zbl 1383.40004 Math. Inequal. Appl. 19, No. 3, 1039-1048 (2016). MSC: 40A15 11J70 26D15 41A60 PDF BibTeX XML Cite \textit{X. Cao} et al., Math. Inequal. Appl. 19, No. 3, 1039--1048 (2016; Zbl 1383.40004) Full Text: arXiv Link OpenURL
Tekcan, Ahmet; Özkoç, Arzu; Eraşik, Meltem E. Some algebraic relations on integer sequences involving oblong and balancing numbers. (English) Zbl 1424.11052 Ars Comb. 128, 11-31 (2016). MSC: 11B39 05A19 11B37 PDF BibTeX XML Cite \textit{A. Tekcan} et al., Ars Comb. 128, 11--31 (2016; Zbl 1424.11052) OpenURL
Bercu, Gabriel; Wu, Shanhe Refinements of certain hyperbolic inequalities via the Padé approximation method. (English) Zbl 1350.41014 J. Nonlinear Sci. Appl. 9, No. 7, 5011-5020 (2016). MSC: 41A21 26D05 26D15 33B10 PDF BibTeX XML Cite \textit{G. Bercu} and \textit{S. Wu}, J. Nonlinear Sci. Appl. 9, No. 7, 5011--5020 (2016; Zbl 1350.41014) Full Text: DOI Link OpenURL
Liu, Jia; Zhang, Zhenliang On the Hausdorff dimension faithfulness of continued fraction expansion. (Sur la fidélité du développement en fraction continue pour la dimension de Hausdorff.) (English. French summary) Zbl 1344.11054 C. R., Math., Acad. Sci. Paris 354, No. 9, 874-878 (2016). Reviewer: Marius Iosifescu (Bucureşti) MSC: 11K55 11K50 PDF BibTeX XML Cite \textit{J. Liu} and \textit{Z. Zhang}, C. R., Math., Acad. Sci. Paris 354, No. 9, 874--878 (2016; Zbl 1344.11054) Full Text: DOI OpenURL
Zhang, Zhenliang The relative growth rate of the largest digit in continued fraction expansions. (English) Zbl 1362.11076 Lith. Math. J. 56, No. 1, 133-141 (2016). MSC: 11K55 11K50 28A80 PDF BibTeX XML Cite \textit{Z. Zhang}, Lith. Math. J. 56, No. 1, 133--141 (2016; Zbl 1362.11076) Full Text: DOI OpenURL
Bazarova, Alina; Berkes, István; Horváth, Lajos On the extremal theory of continued fractions. (English) Zbl 1336.11058 J. Theor. Probab. 29, No. 1, 248-266 (2016). Reviewer: Simon Kristensen (Aarhus) MSC: 11K60 60F05 60G70 PDF BibTeX XML Cite \textit{A. Bazarova} et al., J. Theor. Probab. 29, No. 1, 248--266 (2016; Zbl 1336.11058) Full Text: DOI Link OpenURL
Zhang, Zhenliang; Lü, Meiying The relative growth rate of the largest partial quotient to the sum of partial quotients in continued fraction expansions. (English) Zbl 1408.11078 J. Number Theory 163, 482-492 (2016). MSC: 11K55 28A80 PDF BibTeX XML Cite \textit{Z. Zhang} and \textit{M. Lü}, J. Number Theory 163, 482--492 (2016; Zbl 1408.11078) Full Text: DOI OpenURL
Hbaib, M.; Kammoun, R. Continued \(\beta \)-fractions with formal power series over finite fields. (English) Zbl 1402.11130 Ramanujan J. 39, No. 1, 95-105 (2016). MSC: 11R06 37A45 37B50 PDF BibTeX XML Cite \textit{M. Hbaib} and \textit{R. Kammoun}, Ramanujan J. 39, No. 1, 95--105 (2016; Zbl 1402.11130) Full Text: DOI OpenURL
Lu, Dawei; Song, Lixin; Yu, Yang New sequences with continued fraction towards Euler’s constant. (English) Zbl 1390.40005 Appl. Math. Comput. 259, 12-20 (2015). MSC: 40A15 33B15 11A55 11Y60 40A25 PDF BibTeX XML Cite \textit{D. Lu} et al., Appl. Math. Comput. 259, 12--20 (2015; Zbl 1390.40005) Full Text: DOI OpenURL
Platonov, V. P.; Fedorov, G. V. \(S\)-units and periodicity of continued fractions in hyperelliptic fields. (English. Russian original) Zbl 1337.11040 Dokl. Math. 92, No. 3, 752-756 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 465, No. 5, 537-541 (2015). Reviewer: Abdelmalek Azizi (Oujda) MSC: 11G16 11A55 11R27 PDF BibTeX XML Cite \textit{V. P. Platonov} and \textit{G. V. Fedorov}, Dokl. Math. 92, No. 3, 752--756 (2015; Zbl 1337.11040); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 465, No. 5, 537--541 (2015) Full Text: DOI OpenURL
Zhang, Zhen-Liang On the exceptional sets in Sylvester continued fraction expansion. (English) Zbl 1332.11077 Int. J. Number Theory 11, No. 8, 2369-2380 (2015). Reviewer: Michael M. Pahirya (Mukachevo) MSC: 11K55 28A80 11J04 11K50 PDF BibTeX XML Cite \textit{Z.-L. Zhang}, Int. J. Number Theory 11, No. 8, 2369--2380 (2015; Zbl 1332.11077) Full Text: DOI OpenURL
Choudhuri, Manoj; Dani, S. G. On values of binary quadratic forms at integer points. (English) Zbl 1328.11037 Math. Res. Lett. 22, No. 4, 1023-1045 (2015). Reviewer: Meinhard Peters (Münster) MSC: 11E16 11A55 11D75 PDF BibTeX XML Cite \textit{M. Choudhuri} and \textit{S. G. Dani}, Math. Res. Lett. 22, No. 4, 1023--1045 (2015; Zbl 1328.11037) Full Text: DOI arXiv OpenURL
Mansour, Toufik \(q\)-Stern polynomials as numerators of continued fractions. (English) Zbl 1360.11038 Bull. Pol. Acad. Sci., Math. 63, No. 1, 11-18 (2015). Reviewer: Sandi Klavžar (Ljubljana) MSC: 11B65 11B37 11A55 PDF BibTeX XML Cite \textit{T. Mansour}, Bull. Pol. Acad. Sci., Math. 63, No. 1, 11--18 (2015; Zbl 1360.11038) Full Text: DOI OpenURL
Adiga, Chandrashekar; Surekha, M. S.; Vanitha, A. On some modular relations and 2- and 4-dissections of Ramanujan’s continued fraction of order six. (English) Zbl 1371.11011 Indian J. Math. 57, No. 2, 199-216 (2015). Reviewer: Michael M. Pahirya (Mukachevo) MSC: 11A55 30B50 30B70 PDF BibTeX XML Cite \textit{C. Adiga} et al., Indian J. Math. 57, No. 2, 199--216 (2015; Zbl 1371.11011) OpenURL
Lu, Dawei; Song, Lixin; Yu, Yang Some new continued fraction approximation of Euler’s constant. (English) Zbl 1394.11082 J. Number Theory 147, 69-80 (2015). MSC: 11Y60 11A55 41A25 33F05 PDF BibTeX XML Cite \textit{D. Lu} et al., J. Number Theory 147, 69--80 (2015; Zbl 1394.11082) Full Text: DOI OpenURL
Nesterenko, A. Yu. Constructions of elliptic curves endomorphisms. (English) Zbl 1475.94141 Mat. Vopr. Kriptografii 5, No. 2, 99-102 (2014). MSC: 94A60 14G50 11T71 PDF BibTeX XML Cite \textit{A. Yu. Nesterenko}, Mat. Vopr. Kriptografii 5, No. 2, 99--102 (2014; Zbl 1475.94141) Full Text: DOI MNR OpenURL
Lorente, Anier Soria Nesterenko-like rational function, useful to prove the Apéry’s theorem. (English) Zbl 1355.11076 Notes Number Theory Discrete Math. 20, No. 2, 79-91 (2014). MSC: 11J72 11M06 11J70 11B37 PDF BibTeX XML Cite \textit{A. S. Lorente}, Notes Number Theory Discrete Math. 20, No. 2, 79--91 (2014; Zbl 1355.11076) Full Text: Link OpenURL
Qureshi, Rabia; Nakahara, Toru Behavior of the ring class numbers of a real quadratic field. (English) Zbl 1324.11062 Ars Comb. 113A, 257-271 (2014). MSC: 11R04 11R11 11R29 PDF BibTeX XML Cite \textit{R. Qureshi} and \textit{T. Nakahara}, Ars Comb. 113A, 257--271 (2014; Zbl 1324.11062) OpenURL
Queffélec, Martine Diophantine approximation and expansions of real numbers. (English) Zbl 1369.11052 RIMS Kôkyûroku Bessatsu B46, 215-230 (2014). MSC: 11J70 11K31 11J17 11J72 PDF BibTeX XML Cite \textit{M. Queffélec}, RIMS Kôkyûroku Bessatsu B46, 215--230 (2014; Zbl 1369.11052) OpenURL
Berthé, Valérie; Delecroix, Vincent Beyond substitutive dynamical systems: \(S\)-adic expansions. (English) Zbl 1376.37033 RIMS Kôkyûroku Bessatsu B46, 81-123 (2014). MSC: 37B10 37B25 37A45 37A35 PDF BibTeX XML Cite \textit{V. Berthé} and \textit{V. Delecroix}, RIMS Kôkyûroku Bessatsu B46, 81--123 (2014; Zbl 1376.37033) Full Text: arXiv OpenURL
Girstmair, Kurt On the asymptotic behavior of Dedekind sums. (English) Zbl 1295.11037 J. Integer Seq. 17, No. 7, Article 14.7.7, 9 p. (2014). MSC: 11F20 11A55 PDF BibTeX XML Cite \textit{K. Girstmair}, J. Integer Seq. 17, No. 7, Article 14.7.7, 9 p. (2014; Zbl 1295.11037) Full Text: arXiv EMIS OpenURL
Nakada, Hitoshi; Natsui, Rie On the equivalence relations of \(\alpha\)-continued fractions. (English) Zbl 1342.11062 Indag. Math., New Ser. 25, No. 4, 800-815 (2014). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J70 11K50 PDF BibTeX XML Cite \textit{H. Nakada} and \textit{R. Natsui}, Indag. Math., New Ser. 25, No. 4, 800--815 (2014; Zbl 1342.11062) Full Text: DOI OpenURL
Sebe, Gabriela Ileana; Lascu, Dan A Gauss-Kuzmin theorem and related questions for \(\theta \)-expansions. (English) Zbl 1291.11106 J. Funct. Spaces 2014, Article ID 980461, 12 p. (2014). Reviewer: Michael M. Pahirya (Mukachevo) MSC: 11K50 11A55 11J70 40A15 PDF BibTeX XML Cite \textit{G. I. Sebe} and \textit{D. Lascu}, J. Funct. Spaces 2014, Article ID 980461, 12 p. (2014; Zbl 1291.11106) Full Text: DOI arXiv OpenURL
Gorkusha, O. A. Approximation by \(\Omega\)-continued fractions. (Russian. English summary) Zbl 1423.11122 Chebyshevskiĭ Sb. 14, No. 4(48), 95-100 (2013). MSC: 11J70 PDF BibTeX XML Cite \textit{O. A. Gorkusha}, Chebyshevskiĭ Sb. 14, No. 4(48), 95--100 (2013; Zbl 1423.11122) Full Text: MNR OpenURL
Tekcan, Ahmet; Özkoç, Arzu Pell form and Pell equation via oblong numbers. (English) Zbl 1324.11031 Serdica Math. J. 39, No. 1, 37-52 (2013). Reviewer: Ivan D. Chipchakov (Sofia) MSC: 11D09 11D25 11E16 PDF BibTeX XML Cite \textit{A. Tekcan} and \textit{A. Özkoç}, Serdica Math. J. 39, No. 1, 37--52 (2013; Zbl 1324.11031) OpenURL
Oliver, Kamilla; Prodinger, Helmut Continued fraction expansions related to Göllnitz’ little partition theorem. (English) Zbl 1302.05014 Afr. Mat. 24, No. 4, 665-670 (2013). MSC: 05A30 11A55 11P84 33D15 PDF BibTeX XML Cite \textit{K. Oliver} and \textit{H. Prodinger}, Afr. Mat. 24, No. 4, 665--670 (2013; Zbl 1302.05014) Full Text: DOI OpenURL
Girstmair, Kurt Dedekind sums with arguments near certain transcendental numbers. (English) Zbl 1311.11028 J. Integer Seq. 16, No. 6, Article 13.6.6, 9 p. (2013). Reviewer: Tim Huber (Edinburg) MSC: 11F20 11A55 11J81 PDF BibTeX XML Cite \textit{K. Girstmair}, J. Integer Seq. 16, No. 6, Article 13.6.6, 9 p. (2013; Zbl 1311.11028) Full Text: arXiv EMIS OpenURL
Adamczewski, Boris The many faces of the Kempner number. (English) Zbl 1286.11109 J. Integer Seq. 16, No. 2, Article 13.2.15, 34 p. (2013). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J81 11J87 11J70 PDF BibTeX XML Cite \textit{B. Adamczewski}, J. Integer Seq. 16, No. 2, Article 13.2.15, 34 p. (2013; Zbl 1286.11109) Full Text: arXiv EMIS OpenURL
Lin, Bernard L. S. On the expansion of a continued fraction of order twelve. (English) Zbl 1335.11008 Int. J. Number Theory 9, No. 8, 2019-2031 (2013). MSC: 11A55 11B65 30B70 33D15 PDF BibTeX XML Cite \textit{B. L. S. Lin}, Int. J. Number Theory 9, No. 8, 2019--2031 (2013; Zbl 1335.11008) Full Text: DOI OpenURL
Janvresse, Élise; Rittaud, Benoît; de la Rue, Thierry Dynamics of \(\lambda\)-continued fractions and \(\beta\)-shifts. (English) Zbl 1294.11119 Discrete Contin. Dyn. Syst. 33, No. 4, 1477-1498 (2013). Reviewer: Lingmin Liao (Créteil) MSC: 11J70 11K16 37A45 PDF BibTeX XML Cite \textit{É. Janvresse} et al., Discrete Contin. Dyn. Syst. 33, No. 4, 1477--1498 (2013; Zbl 1294.11119) Full Text: DOI arXiv OpenURL
Elsner, Carsten; Stein, Martin On the value distribution of error sums for approximations with rational numbers. (English) Zbl 1279.11071 Integers 12, Paper A66, 28 p. (2012). MSC: 11J70 PDF BibTeX XML Cite \textit{C. Elsner} and \textit{M. Stein}, Integers 12, Paper A66, 28 p. (2012; Zbl 1279.11071) Full Text: EMIS OpenURL
Cheng, K. H. F.; Guy, R. K.; Scheidler, R.; Williams, H. C. Classification and symmetries of a family of continued fractions with bounded period length. (English) Zbl 1322.11010 J. Aust. Math. Soc. 93, No. 1-2, 53-76 (2012). Reviewer: Thomas Schmidt (Corvallis) MSC: 11A55 11Y65 PDF BibTeX XML Cite \textit{K. H. F. Cheng} et al., J. Aust. Math. Soc. 93, No. 1--2, 53--76 (2012; Zbl 1322.11010) Full Text: DOI OpenURL
Eı, Hiromi Rauzy fractals induced from automorphisms on the free group of rank 2 related to continued fractions. (English) Zbl 1275.28008 RIMS Kôkyûroku Bessatsu B34, 69-80 (2012). MSC: 28A80 37E05 37B50 PDF BibTeX XML Cite \textit{H. Eı}, RIMS Kôkyûroku Bessatsu B34, 69--80 (2012; Zbl 1275.28008) OpenURL
Ayadi, Khalil; Hbaib, Mohamed; Mahjoub, Faiza Diophantine approximation for the cubic root of polynomials of \(\mathbb{F}_{2}[X]\). (English) Zbl 1339.11072 Math. Commun. 17, No. 2, 613-627 (2012). MSC: 11J17 11R58 11J70 PDF BibTeX XML Cite \textit{K. Ayadi} et al., Math. Commun. 17, No. 2, 613--627 (2012; Zbl 1339.11072) Full Text: Link OpenURL
Boca, Florin P.; Vandehey, Joseph On certain statistical properties of continued fractions with even and with odd partial quotients. (English) Zbl 1273.11015 Acta Arith. 156, No. 3, 201-221 (2012). Reviewer: Alexey Ustinov (Khabarovsk) MSC: 11A55 11K50 37A45 PDF BibTeX XML Cite \textit{F. P. Boca} and \textit{J. Vandehey}, Acta Arith. 156, No. 3, 201--221 (2012; Zbl 1273.11015) Full Text: DOI arXiv OpenURL
Gao, Zhe; Liao, Xiaozhong Rational approximation for fractional-order system by particle swarm optimization. (English) Zbl 1242.93054 Nonlinear Dyn. 67, No. 2, 1387-1395 (2012). MSC: 93C15 34A08 93A14 PDF BibTeX XML Cite \textit{Z. Gao} and \textit{X. Liao}, Nonlinear Dyn. 67, No. 2, 1387--1395 (2012; Zbl 1242.93054) Full Text: DOI OpenURL
Burger, Edward B.; Clyde, David C.; Colbert, Cory H.; Shin, Gea Hyun; Wang, Zhaoning A generalization of a theorem of Lekkerkerker to Ostrowski’s decomposition of natural numbers. (English) Zbl 1275.11016 Acta Arith. 153, No. 3, 217-249 (2012). Reviewer: Jeffrey Shallit (Waterloo) MSC: 11A55 11B37 11N45 11Y65 PDF BibTeX XML Cite \textit{E. B. Burger} et al., Acta Arith. 153, No. 3, 217--249 (2012; Zbl 1275.11016) Full Text: DOI OpenURL
Yuttanan, Boonrod New properties for the Ramanujan-Göllnitz-Gordon continued fraction. (English) Zbl 1254.11008 Acta Arith. 151, No. 3, 293-310 (2012). Reviewer: Ricardo Mamede (Coimbra) MSC: 11A55 11P83 PDF BibTeX XML Cite \textit{B. Yuttanan}, Acta Arith. 151, No. 3, 293--310 (2012; Zbl 1254.11008) Full Text: DOI OpenURL
Robinson, E. Arthur jun. Sturmian expansions and entropy. (English) Zbl 1286.37003 Integers 11B, Paper A13, 16 p. (2011). Reviewer: El Houcein El Abdalaoui (Saint Etienne du Rouvray) MSC: 37A05 37A35 37B05 37A45 PDF BibTeX XML Cite \textit{E. A. Robinson jun.}, Integers 11B, Paper A13, 16 p. (2011; Zbl 1286.37003) Full Text: EMIS OpenURL
Kan, Igor D.; Moshchevitin, Nikolay G.; Chaika, Jonathan On Minkowski diagonal functions for two real numbers. (English) Zbl 1296.11091 Amou, Masaaki (ed.) et al., Diophantine analysis and related fields 2011, DARF–2011. Proceedings of the conference, Musashino, Tokyo, Japan, March 3–5, 2011. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0947-7/pbk). AIP Conference Proceedings 1385, 42-48 (2011). Reviewer: Oto Strauch (Bratislava) MSC: 11J70 11A55 PDF BibTeX XML Cite \textit{I. D. Kan} et al., AIP Conf. Proc. 1385, 42--48 (2011; Zbl 1296.11091) Full Text: DOI OpenURL
Hashimoto, Ryūta Searching discriminants with large fundamental units via continued fraction expansion. (English) Zbl 1307.11012 Amou, Masaaki (ed.) et al., Diophantine analysis and related fields 2011, DARF–2011. Proceedings of the conference, Musashino, Tokyo, Japan, March 3–5, 2011. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0947-7/pbk). AIP Conference Proceedings 1385, 38-41 (2011). Reviewer: Anitha Srinivasan (Madrid) MSC: 11A55 11D09 11R27 11R11 PDF BibTeX XML Cite \textit{R. Hashimoto}, AIP Conf. Proc. 1385, 38--41 (2011; Zbl 1307.11012) Full Text: DOI OpenURL
Kaneko, Masanobu; Mori, Keita Congruences modulo 4 of calibers of real quadratic fields. (English. French summary) Zbl 1270.11104 Ann. Sci. Math. Qué. 35, No. 2, 185-195 (2011). Reviewer: Elliot Benjamin (Swanville) MSC: 11R11 11R29 PDF BibTeX XML Cite \textit{M. Kaneko} and \textit{K. Mori}, Ann. Sci. Math. Qué. 35, No. 2, 185--195 (2011; Zbl 1270.11104) Full Text: Link OpenURL
Komatsu, Takao On the sum of reciprocal Tribonacci numbers. (English) Zbl 1249.11025 Ars Comb. 98, 447-459 (2011). MSC: 11B39 11A55 PDF BibTeX XML Cite \textit{T. Komatsu}, Ars Comb. 98, 447--459 (2011; Zbl 1249.11025) OpenURL
Yang, Lingyi; Chen, Jianhua; Sun, Jinlong Solution to Diophantine equation \(x^2+a^2=2y^n\). (Chinese. English summary) Zbl 1240.11056 J. Math., Wuhan Univ. 31, No. 1, 147-151 (2011). MSC: 11D45 PDF BibTeX XML Cite \textit{L. Yang} et al., J. Math., Wuhan Univ. 31, No. 1, 147--151 (2011; Zbl 1240.11056) OpenURL
Kacha, Ali; Ounir, Brahim Continued fractions of matrices and expansions of special functions. (Fractions continues de matrices et développements de certaines fonctions spéciales.) (French. English summary) Zbl 1242.40002 Algebras Groups Geom. 28, No. 1, 63-75 (2011). MSC: 40A15 15A60 47A63 PDF BibTeX XML Cite \textit{A. Kacha} and \textit{B. Ounir}, Algebras Groups Geom. 28, No. 1, 63--75 (2011; Zbl 1242.40002) OpenURL
Prodinger, Helmut Continued fractions related to \((t,q)\)-tangents and variants. (English) Zbl 1230.05050 Electron. J. Comb. 18, No. 2, Research Paper P18, 7 p. (2011). Reviewer: Jaebum Sohn (Seoul) MSC: 05A30 05A10 11A55 PDF BibTeX XML Cite \textit{H. Prodinger}, Electron. J. Comb. 18, No. 2, Research Paper P18, 7 p. (2011; Zbl 1230.05050) Full Text: EMIS OpenURL
Ustinov, A. V. The mean number of steps in the Euclidean algorithm with odd partial quotients. (English. Russian original) Zbl 1257.11007 Math. Notes 88, No. 4, 574-584 (2010); translation from Mat. Zametki 88, No. 4, 594-604 (2010). Reviewer: Dmitriy Frolenkov (Moscow) MSC: 11A55 11K50 11N37 PDF BibTeX XML Cite \textit{A. V. Ustinov}, Math. Notes 88, No. 4, 574--584 (2010; Zbl 1257.11007); translation from Mat. Zametki 88, No. 4, 594--604 (2010) Full Text: DOI OpenURL
Avanzi, Roberto; Jacobson, Michael J. jun.; Scheidler, Renate Efficient reduction of large divisors on hyperelliptic curves. (English) Zbl 1225.14049 Adv. Math. Commun. 4, No. 2, 261-279 (2010). MSC: 14Q05 11G20 11Y65 14G50 14H40 PDF BibTeX XML Cite \textit{R. Avanzi} et al., Adv. Math. Commun. 4, No. 2, 261--279 (2010; Zbl 1225.14049) Full Text: DOI OpenURL
Kan, Igor D.; Moshchevitin, Nikolay G. Approximations to two real numbers. (English) Zbl 1249.11064 Unif. Distrib. Theory 5, No. 2, 79-86 (2010). Reviewer: Oto Strauch (Bratislava) MSC: 11J70 11A55 PDF BibTeX XML Cite \textit{I. D. Kan} and \textit{N. G. Moshchevitin}, Unif. Distrib. Theory 5, No. 2, 79--86 (2010; Zbl 1249.11064) Full Text: arXiv OpenURL
Rittaud, Benoît On subsequences of convergents to a quadratic irrational given by some numerical schemes. (English) Zbl 1223.11087 J. Théor. Nombres Bordx. 22, No. 2, 449-474 (2010). Reviewer: Florin Nicolae (Berlin) MSC: 11J70 PDF BibTeX XML Cite \textit{B. Rittaud}, J. Théor. Nombres Bordx. 22, No. 2, 449--474 (2010; Zbl 1223.11087) Full Text: DOI Numdam EuDML OpenURL
Birk, Carolin; Song, Chongmin A local high-order doubly asymptotic open boundary for diffusion in a semi-infinite layer. (English) Zbl 1425.76230 J. Comput. Phys. 229, No. 17, 6156-6179 (2010). MSC: 76R50 76M25 PDF BibTeX XML Cite \textit{C. Birk} and \textit{C. Song}, J. Comput. Phys. 229, No. 17, 6156--6179 (2010; Zbl 1425.76230) Full Text: DOI OpenURL
Birk, Carolin; Song, Chongmin A continued-fraction approach for transient diffusion in unbounded medium. (English) Zbl 1228.76080 Comput. Methods Appl. Mech. Eng. 198, No. 33-36, 2576-2590 (2009). MSC: 76M10 76R50 26A33 PDF BibTeX XML Cite \textit{C. Birk} and \textit{C. Song}, Comput. Methods Appl. Mech. Eng. 198, No. 33--36, 2576--2590 (2009; Zbl 1228.76080) Full Text: DOI OpenURL
Komatsu, Takao Diophantine approximations of tanh, tan and linear forms of \(e\) in terms of integrals. (English) Zbl 1199.11098 Rev. Roum. Math. Pures Appl. 54, No. 3, 223-242 (2009). Reviewer: Tonko Tonkov (Sofia) MSC: 11J70 11A55 33F05 PDF BibTeX XML Cite \textit{T. Komatsu}, Rev. Roum. Math. Pures Appl. 54, No. 3, 223--242 (2009; Zbl 1199.11098) OpenURL
Cellarosi, Francesco Renewal-type limit theorem for continued fractions with even partial quotients. (English) Zbl 1193.37013 Ergodic Theory Dyn. Syst. 29, No. 5, 1451-1478 (2009). Reviewer: Victor I. Tkachenko (Kyïv) MSC: 37A45 11K50 PDF BibTeX XML Cite \textit{F. Cellarosi}, Ergodic Theory Dyn. Syst. 29, No. 5, 1451--1478 (2009; Zbl 1193.37013) Full Text: DOI arXiv OpenURL
Kawamura, Katsunori; Hayashi, Yoshiki; Lascu, Dan Continued fraction expansions and permutative representations of the Cuntz algebra \(\mathcal O_\infty\). (English) Zbl 1202.46065 J. Number Theory 129, No. 12, 3069-3080 (2009). MSC: 46L05 11A55 PDF BibTeX XML Cite \textit{K. Kawamura} et al., J. Number Theory 129, No. 12, 3069--3080 (2009; Zbl 1202.46065) Full Text: DOI arXiv OpenURL