Ammous, B.; Ben Mahmoud, N. On the quasi-periodic Schneider continued fractions. (English) Zbl 07852706 Res. Number Theory 10, No. 2, Paper No. 49, 10 p. (2024). Reviewer: Marcel G. de Bruin (Heemstede) MSC: 11A55 11J70 11J81 11J87 × Cite Format Result Cite Review PDF Full Text: DOI
Romeo, Giuliano Continued fractions in the field of \(p\)-adic numbers. (English) Zbl 07827001 Bull. Am. Math. Soc., New Ser. 61, No. 2, 343-371 (2024). Reviewer: Marcel G. de Bruin (Heemstede) MSC: 11J70 11D88 11Y65 12J25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ammous, B. On the Maillet-Baker Ruban continued fractions in the \(p\)-adic field. (English) Zbl 1533.11134 Math. Notes 114, No. 5, 659-667 (2023). MSC: 11J70 11J81 11J61 11J68 × Cite Format Result Cite Review PDF Full Text: DOI
Ammous, Basma; Ben Mahmoud, Nour; Hbaib, Mohamed On the quasi-periodic \(p\)-adic Ruban continued fractions. (English) Zbl 1538.11138 Czech. Math. J. 72, No. 4, 1157-1166 (2022). MSC: 11J70 11J61 11J81 11J87 × Cite Format Result Cite Review PDF Full Text: DOI
Ghorbel, R.; Kthiri, H. A transcendental unbounded continued fraction expansions over a finite field. (English) Zbl 1468.11159 J. Indones. Math. Soc. 27, No. 1, 115-122 (2021). MSC: 11J70 11A55 × Cite Format Result Cite Review PDF Full Text: DOI
González Robert, Gerardo Purely periodic and transcendental complex continued fractions. (English) Zbl 1447.11088 Acta Arith. 194, No. 3, 241-265 (2020). Reviewer: Oleg Karpenkov (Liverpool) MSC: 11K60 11J70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gouadri, Marwa; Hbaib, Mohamed Transcendental continued \(\beta\)-fraction with quadratic Pisot basis over \(\mathbb F_q((x^{-1}))\). (English) Zbl 1499.11240 Filomat 33, No. 14, 4585-4591 (2019). MSC: 11J61 11J70 11J86 11R06 × Cite Format Result Cite Review PDF Full Text: DOI
Driss, Sana; Kthiri, Hassen On the geometric continued fractions in positive characteristic. (English) Zbl 1451.11016 J. Indones. Math. Soc. 25, No. 2, 139-145 (2019). MSC: 11A55 11J81 × Cite Format Result Cite Review PDF Full Text: DOI
Wüstholz, Gisbert Obituary of Alan Baker FRS. (English) Zbl 1417.01033 Acta Arith. 189, No. 4, 309-345 (2019). MSC: 01A70 11-03 × Cite Format Result Cite Review PDF Full Text: DOI
Ooto, Tomohiro Transcendental \(p\)-adic continued fractions. (English) Zbl 1388.11040 Math. Z. 287, No. 3-4, 1053-1064 (2017). Reviewer: Jürgen Wolfart (Frankfurt am Main) MSC: 11J81 11J70 11J61 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ammous, B.; Driss, S.; Hbaib, M. Continued fractions and transcendence of formal power series over a finite field. (English) Zbl 1410.11100 Mediterr. J. Math. 13, No. 2, 527-536 (2016). MSC: 11J81 13F25 11A55 11J70 × Cite Format Result Cite Review PDF Full Text: DOI
Calta, Kariane; Schmidt, Thomas A. Continued fractions for a class of triangle groups. (English) Zbl 1336.11051 J. Aust. Math. Soc. 93, No. 1-2, 21-42 (2012). MSC: 11J70 11K50 11J17 11J81 20H10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Adamczewski, Boris; Bugeaud, Yann Transcendence measures for continued fractions involving repetitive or symmetric patterns. (English) Zbl 1200.11053 J. Eur. Math. Soc. (JEMS) 12, No. 4, 883-914 (2010). Reviewer: Peter Bundschuh (Köln) MSC: 11J82 × Cite Format Result Cite Review PDF Full Text: DOI Link
Baxa, Christoph Lévy constants of transcendental numbers. (English) Zbl 1179.11020 Proc. Am. Math. Soc. 137, No. 7, 2243-2249 (2009). Reviewer: Simon Kristensen (Aarhus) MSC: 11J81 11J82 × Cite Format Result Cite Review PDF Full Text: DOI
Chaichana, Tuangrat; Laohakosol, Vichian Independence of continued fractions in the field of Laurent series. (English) Zbl 1164.11028 Period. Math. Hung. 55, No. 1, 35-59 (2007). Reviewer: Štefan Porubský (Prague) MSC: 11J85 11J70 11A55 11F70 40A15 × Cite Format Result Cite Review PDF Full Text: DOI
Davison, J. L. Quasi-periodic continued fractions. (English) Zbl 1208.11084 J. Number Theory 127, No. 2, 272-282 (2007). Reviewer: Takao Komatsu (Hirosaki) MSC: 11J70 11A55 11J87 11K50 68R15 × Cite Format Result Cite Review PDF Full Text: DOI
Adamczewski, Boris; Bugeaud, Yann Palindromic continued fractions. (English) Zbl 1126.11036 Ann. Inst. Fourier 57, No. 5, 1557-1574 (2007). Reviewer: Takao Komatsu (Hirosaki) MSC: 11J81 11J70 68R15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Numdam EuDML
Adamczewski, Boris; Bugeaud, Yann On the Maillet-Baker continued fractions. (English) Zbl 1145.11054 J. Reine Angew. Math. 606, 105-121 (2007). Reviewer: Michel Waldschmidt (Paris) MSC: 11J70 11J81 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Adamczewski, Boris; Allouche, Jean-Paul Reversals and palindromes in continued fractions. (English) Zbl 1118.68110 Theor. Comput. Sci. 380, No. 3, 220-237 (2007). MSC: 68R15 11A55 11B85 × Cite Format Result Cite Review PDF Full Text: DOI
Adamczewski, Boris; Bugeaud, Yann; Davison, Les Continued fractions and transcendental numbers. (English) Zbl 1152.11034 Ann. Inst. Fourier 56, No. 7, 2093-2113 (2006). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J81 11J70 68R15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Numdam EuDML
Hbaib, M.; Mkaouar, M.; Tounsi, K. A transcendence criterion for continued fractions in \(\mathbb K_p((X^{-1}))\). (Un critère de transcendance de fractions continues dans \(\mathbb K_p((X^{-1}))\).) (French) Zbl 1162.11035 J. Number Theory 116, No. 1, 140-149 (2006). MSC: 11J70 11A55 11J61 × Cite Format Result Cite Review PDF Full Text: DOI
Mkaouar, Mohamed Transcendence of some continued fractions in the formal power series fields. (Transcendance de certaines fractions continues dans le corps des séries formelles.) (French) Zbl 1060.11042 J. Algebra 281, No. 2, 502-507 (2004). Reviewer: Jean-Paul Allouche (Orsay) MSC: 11J70 11T55 × Cite Format Result Cite Review PDF Full Text: DOI
Allouche, J.-P.; Davison, J. L.; Queffélec, M.; Zamboni, L. Q. Transcendence of Sturmian or morphic continued fractions. (English) Zbl 0998.11036 J. Number Theory 91, No. 1, 39-66 (2001). Reviewer: R.F.Tichy (Graz) MSC: 11J70 11B83 × Cite Format Result Cite Review PDF Full Text: DOI Link
Berkovits, J.; Mawhin, J. Diophantine approximation, Bessel functions and radially symmetric periodic solutions of semilinear wave equations in a ball. (English) Zbl 0986.35070 Trans. Am. Math. Soc. 353, No. 12, 5041-5055 (2001). Reviewer: V.Mustonen (Oulu) MSC: 35L70 35B10 35L20 11J70 47H10 × Cite Format Result Cite Review PDF Full Text: DOI
Queffélec, M. Transcendence of Thue-Morse continued fractions. (Transcendance des fractions continues de Thue-Morse.) (French) Zbl 0920.11045 J. Number Theory 73, No. 2, 201-211 (1998). Reviewer: G.Köhler (Würzburg) MSC: 11J81 11J70 11B83 × Cite Format Result Cite Review PDF Full Text: DOI
Baker, A. On Mahler’s classification of transcendental numbers. (English) Zbl 0147.03403 Acta Math. 111, 97-120 (1964). × Cite Format Result Cite Review PDF Full Text: DOI