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
Baricz, Árpád; Kumar, Pranav; Singh, Sanjeev On starlikeness of regular Coulomb wave functions. (English) Zbl 1515.30016 Proc. Am. Math. Soc. 151, No. 6, 2325-2338 (2023). MSC: 30B70 11J70 30C45 33C15 PDFBibTeX XMLCite \textit{Á. Baricz} et al., Proc. Am. Math. Soc. 151, No. 6, 2325--2338 (2023; Zbl 1515.30016) Full Text: DOI
Han, Sandie; Masuda, Ariane M.; Singh, Satyanand; Thiel, Johann Subgroups of \(\mathrm{SL}_2(\mathbb{Z})\) characterized by certain continued fraction representations. (English) Zbl 1464.20016 Proc. Am. Math. Soc. 148, No. 9, 3775-3786 (2020). Reviewer: Alla Detinko (Hull) MSC: 20H10 11A55 20E05 20M05 PDFBibTeX XMLCite \textit{S. Han} et al., Proc. Am. Math. Soc. 148, No. 9, 3775--3786 (2020; Zbl 1464.20016) Full Text: DOI arXiv
Sokal, Alan D. Wall’s continued-fraction characterization of Hausdorff moment sequences: a conceptual proof. (English) Zbl 1445.44006 Proc. Am. Math. Soc. 148, No. 5, 2111-2116 (2020). MSC: 44A60 05A15 30B70 30E05 PDFBibTeX XMLCite \textit{A. D. Sokal}, Proc. Am. Math. Soc. 148, No. 5, 2111--2116 (2020; Zbl 1445.44006) Full Text: DOI arXiv
Huang, Lingling; Wu, Jun Uniformly non-improvable Dirichlet set via continued fractions. (English) Zbl 1431.11100 Proc. Am. Math. Soc. 147, No. 11, 4617-4624 (2019). Reviewer: Symon Serbenyuk (Kyiv) MSC: 11K50 11J70 28A80 PDFBibTeX XMLCite \textit{L. Huang} and \textit{J. Wu}, Proc. Am. Math. Soc. 147, No. 11, 4617--4624 (2019; Zbl 1431.11100) Full Text: DOI
Huber, Tim; Schultz, Daniel Generalized reciprocal identities. (English) Zbl 1417.11039 Proc. Am. Math. Soc. 144, No. 11, 4627-4639 (2016). MSC: 11F20 11F11 11R29 PDFBibTeX XMLCite \textit{T. Huber} and \textit{D. Schultz}, Proc. Am. Math. Soc. 144, No. 11, 4627--4639 (2016; Zbl 1417.11039) Full Text: DOI
Badziahin, Dzmitry; Shallit, Jeffrey An unusual continued fraction. (English) Zbl 1334.11056 Proc. Am. Math. Soc. 144, No. 5, 1887-1896 (2016). MSC: 11J72 11Y65 11A55 PDFBibTeX XMLCite \textit{D. Badziahin} and \textit{J. Shallit}, Proc. Am. Math. Soc. 144, No. 5, 1887--1896 (2016; Zbl 1334.11056) Full Text: DOI arXiv Link
Nikolaev, Igor V. Noncommutative geometry of algebraic curves. (English) Zbl 1178.14025 Proc. Am. Math. Soc. 137, No. 10, 3283-3290 (2009). Reviewer: Arvid Siqveland (Kongsberg) MSC: 14H10 46L40 58B34 PDFBibTeX XMLCite \textit{I. V. Nikolaev}, Proc. Am. Math. Soc. 137, No. 10, 3283--3290 (2009; Zbl 1178.14025) Full Text: DOI arXiv
Chan, Hei-Chi From a Ramanujan-Selberg continued fraction to a Jacobian identity. (English) Zbl 1284.05016 Proc. Am. Math. Soc. 137, No. 9, 2849-2856 (2009). MSC: 05A15 05A30 11A55 PDFBibTeX XMLCite \textit{H.-C. Chan}, Proc. Am. Math. Soc. 137, No. 9, 2849--2856 (2009; Zbl 1284.05016) Full Text: DOI
Wieting, Thomas A Khinchin sequence. (English) Zbl 1241.11144 Proc. Am. Math. Soc. 136, No. 3, 815-824 (2008). Reviewer: Olaf Ninnemann (Uffing am Staffelsee) MSC: 11Y55 11Y65 28D05 PDFBibTeX XMLCite \textit{T. Wieting}, Proc. Am. Math. Soc. 136, No. 3, 815--824 (2008; Zbl 1241.11144) Full Text: DOI
Chan, Heng Huat; Cooper, Shaun; Liaw, Wen-Chin The Rogers-Ramanujan continued fraction and a quintic iteration for \(1/\pi\). (English) Zbl 1141.11059 Proc. Am. Math. Soc. 135, No. 11, 3417-3424 (2007). Reviewer: Khodabakhsh Hessami Pilehrood (Shahrekord) MSC: 11Y60 11F20 11F27 11Y65 33E05 PDFBibTeX XMLCite \textit{H. H. Chan} et al., Proc. Am. Math. Soc. 135, No. 11, 3417--3424 (2007; Zbl 1141.11059) Full Text: DOI
Astels, S. Sums of numbers with small partial quotients. (English) Zbl 0992.11044 Proc. Am. Math. Soc. 130, No. 3, 637-642 (2002). Reviewer: Takao Komatsu (Tsu) MSC: 11J70 11Y65 28A78 PDFBibTeX XMLCite \textit{S. Astels}, Proc. Am. Math. Soc. 130, No. 3, 637--642 (2002; Zbl 0992.11044) Full Text: DOI
Zhang, Liang-Cheng Explicit evaluations of a Ramanujan-Selberg continued fraction. (English) Zbl 0992.11007 Proc. Am. Math. Soc. 130, No. 1, 9-14 (2002). Reviewer: Heng Huat Chan (Singapor) MSC: 11A55 11Y65 30B70 PDFBibTeX XMLCite \textit{L.-C. Zhang}, Proc. Am. Math. Soc. 130, No. 1, 9--14 (2002; Zbl 0992.11007) Full Text: DOI
Dajani, Karma; Fieldsteel, Adam Equipartition of interval partitions and an application to number theory. (English) Zbl 0999.11041 Proc. Am. Math. Soc. 129, No. 12, 3453-3460 (2001). Reviewer: Yukio Ohkubo (Kagoshima) MSC: 11K50 37A25 28D05 PDFBibTeX XMLCite \textit{K. Dajani} and \textit{A. Fieldsteel}, Proc. Am. Math. Soc. 129, No. 12, 3453--3460 (2001; Zbl 0999.11041) Full Text: DOI
Son, Seung Hwan Some theta function identities related to the Rogers-Ramanujan continued fraction. (English) Zbl 0911.33011 Proc. Am. Math. Soc. 126, No. 10, 2895-2902 (1998). MSC: 33D10 11A55 11B65 PDFBibTeX XMLCite \textit{S. H. Son}, Proc. Am. Math. Soc. 126, No. 10, 2895--2902 (1998; Zbl 0911.33011) Full Text: DOI
Friesen, Christian; Hensley, Doug The statistics of continued fractions for polynomials over a finite field. (English) Zbl 0869.11008 Proc. Am. Math. Soc. 124, No. 9, 2661-2673 (1996). Reviewer: C.Levesque (Quebec) MSC: 11A55 11T06 PDFBibTeX XMLCite \textit{C. Friesen} and \textit{D. Hensley}, Proc. Am. Math. Soc. 124, No. 9, 2661--2673 (1996; Zbl 0869.11008) Full Text: DOI
Andrews, George E.; Bowman, Douglas A full extension of the Rogers-Ramanujan continued fraction. (English) Zbl 0876.33013 Proc. Am. Math. Soc. 123, No. 11, 3343-3350 (1995). MSC: 33D10 11B65 33D80 PDFBibTeX XMLCite \textit{G. E. Andrews} and \textit{D. Bowman}, Proc. Am. Math. Soc. 123, No. 11, 3343--3350 (1995; Zbl 0876.33013) Full Text: DOI
Williams, Kenneth S.; Buck, Nicholas Comparison of the lengths of the continued fractions of \(\sqrt{D}\) and \({1\over 2}(1+\sqrt{D})\). (English) Zbl 0794.11006 Proc. Am. Math. Soc. 120, No. 4, 995-1002 (1994). Reviewer: F.Halter-Koch (Graz) MSC: 11A55 11R11 PDFBibTeX XMLCite \textit{K. S. Williams} and \textit{N. Buck}, Proc. Am. Math. Soc. 120, No. 4, 995--1002 (1994; Zbl 0794.11006) Full Text: DOI
Ismail, Mourad E. H.; Takeuchi, Yu; Zhang, Ruiming Pages from the computer files of R. William Gosper. (English) Zbl 0816.33001 Proc. Am. Math. Soc. 119, No. 3, 747-760 (1993). Reviewer: L.Lorentzen (Trondheim) MSC: 33B10 40A15 33D15 33C10 PDFBibTeX XMLCite \textit{M. E. H. Ismail} et al., Proc. Am. Math. Soc. 119, No. 3, 747--760 (1993; Zbl 0816.33001) Full Text: DOI
Samur, Jorge D. A functional central limit theorem in Diophantine approximation. (English) Zbl 0727.11029 Proc. Am. Math. Soc. 111, No. 4, 901-911 (1991). Reviewer: R.J.Tomkins (Regina) MSC: 11K60 60F05 60F17 PDFBibTeX XMLCite \textit{J. D. Samur}, Proc. Am. Math. Soc. 111, No. 4, 901--911 (1991; Zbl 0727.11029) Full Text: DOI
Thron, W. J. Separate convergence of general T-fractions. (English) Zbl 0719.30004 Proc. Am. Math. Soc. 111, No. 1, 75-80 (1991). Reviewer: P.Kiss (Eger) MSC: 30B70 40A15 PDFBibTeX XMLCite \textit{W. J. Thron}, Proc. Am. Math. Soc. 111, No. 1, 75--80 (1991; Zbl 0719.30004) Full Text: DOI
Njåstad, Olav Convergence of the Schur algorithm. (English) Zbl 0735.30034 Proc. Am. Math. Soc. 110, No. 4, 1003-1007 (1990). Reviewer: H.-J.Runckel MSC: 30E05 42C05 30B70 PDFBibTeX XMLCite \textit{O. Njåstad}, Proc. Am. Math. Soc. 110, No. 4, 1003--1007 (1990; Zbl 0735.30034) Full Text: DOI
Hovstad, R. M. The classical irrationality problem for T-fractions. (English) Zbl 0703.30002 Proc. Am. Math. Soc. 110, No. 1, 65-70 (1990). Reviewer: L.Lorentzen MSC: 30B70 PDFBibTeX XMLCite \textit{R. M. Hovstad}, Proc. Am. Math. Soc. 110, No. 1, 65--70 (1990; Zbl 0703.30002) Full Text: DOI
Jacobsen, Lisa; Waadeland, Haakon A result on nearness of functions and their regular C-fraction expansions. (English) Zbl 0683.30006 Proc. Am. Math. Soc. 106, No. 3, 741-750 (1989). Reviewer: L.Jacobsen MSC: 30B70 40A15 41A20 41A21 PDFBibTeX XMLCite \textit{L. Jacobsen} and \textit{H. Waadeland}, Proc. Am. Math. Soc. 106, No. 3, 741--750 (1989; Zbl 0683.30006) Full Text: DOI
Tong, Jingcheng The conjugate property for Diophantine approximation of continued fractions. (English) Zbl 0663.10007 Proc. Am. Math. Soc. 105, No. 3, 535-539 (1989). Reviewer: G.Köhler MSC: 11A55 11J04 PDFBibTeX XMLCite \textit{J. Tong}, Proc. Am. Math. Soc. 105, No. 3, 535--539 (1989; Zbl 0663.10007) Full Text: DOI
Larcher, Gerhard A convergence problem connected with continued fractions. (English) Zbl 0659.10009 Proc. Am. Math. Soc. 103, No. 3, 718-722 (1988). Reviewer: H. Jager (Amsterdam) MSC: 11A55 11J70 PDFBibTeX XMLCite \textit{G. Larcher}, Proc. Am. Math. Soc. 103, No. 3, 718--722 (1988; Zbl 0659.10009) Full Text: DOI
Kalpazidou, Sofia A Gaussian measure for certain continued fractions. (English) Zbl 0593.60003 Proc. Am. Math. Soc. 96, 629-635 (1986). Reviewer: Sofia Kalpazidou MSC: 11K50 28D99 PDFBibTeX XMLCite \textit{S. Kalpazidou}, Proc. Am. Math. Soc. 96, 629--635 (1986; Zbl 0593.60003) Full Text: DOI
Prasad, K. C.; Lari, M. A note on a theorem of Perron. (English) Zbl 0593.10030 Proc. Am. Math. Soc. 97, 19-20 (1986). Reviewer: T.Tonkov MSC: 11J70 11J04 PDFBibTeX XMLCite \textit{K. C. Prasad} and \textit{M. Lari}, Proc. Am. Math. Soc. 97, 19--20 (1986; Zbl 0593.10030) Full Text: DOI
Bhargava, S.; Adiga, Chandrashekar On some continued fraction identities of Srinivasa Ramanujan. (English) Zbl 0519.10006 Proc. Am. Math. Soc. 92, 13-18 (1984). MSC: 11A55 11P81 PDFBibTeX XMLCite \textit{S. Bhargava} and \textit{C. Adiga}, Proc. Am. Math. Soc. 92, 13--18 (1984; Zbl 0519.10006) Full Text: DOI
Richert, Norman A canonical form for planar Farey sets. (English) Zbl 0474.10025 Proc. Am. Math. Soc. 83, 259-262 (1981). MSC: 11J70 11F06 PDFBibTeX XMLCite \textit{N. Richert}, Proc. Am. Math. Soc. 83, 259--262 (1981; Zbl 0474.10025) Full Text: DOI
Hirst, K. E. Continued fractions with sequences of partial quotients. (English) Zbl 0261.10022 Proc. Am. Math. Soc. 38, 221-227 (1973). MSC: 11K55 11K50 PDFBibTeX XMLCite \textit{K. E. Hirst}, Proc. Am. Math. Soc. 38, 221--227 (1973; Zbl 0261.10022) Full Text: DOI DOI