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
Barbero, Stefano; Cerruti, Umberto; Murru, Nadir Periodic representations and approximations of \(p\)-adic numbers via continued fractions. (English) Zbl 07815483 Exp. Math. 33, No. 1, 100-110 (2024). Reviewer: Marcel G. de Bruin (Heemstede) MSC: 11J70 12J25 × Cite Format Result Cite Review PDF Full Text: DOI
Murru, Nadir; Romeo, Giuliano A new algorithm for \(p\)-adic continued fractions. (English) Zbl 07810334 Math. Comput. 93, No. 347, 1309-1331 (2024). Reviewer: Mykhaylo Pahirya (Uzhhorod) MSC: 11J70 11Y65 11D88 × 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
Capuano, Laura; Murru, Nadir; Terracini, Lea On periodicity of \(p\)-adic Browkin continued fractions. (English) Zbl 1540.11091 Math. Z. 305, No. 2, Paper No. 17, 24 p. (2023). Reviewer: Mykhaylo Pahirya (Uzhhorod) MSC: 11J70 11D88 11Y65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Murru, Nadir; Romeo, Giuliano; Santilli, Giordano Convergence conditions for \(p\)-adic continued fractions. (English) Zbl 1535.11102 Res. Number Theory 9, No. 3, Paper No. 66, 17 p. (2023); correction ibid. 10, No. 1, Paper No. 7, 1 p. (2024). Reviewer: Mykhaylo Pahirya (Uzhhorod) MSC: 11J70 11J61 11A55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Ammous, B.; Dammak, L. On the quasi-palindromic \(p\)-adic Ruban continued fractions. (English) Zbl 1532.11017 Indian J. Pure Appl. Math. 54, No. 3, 725-733 (2023). Reviewer: Marcel G. de Bruin (Heemstede) MSC: 11J70 11J61 11J81 11J87 × Cite Format Result Cite Review PDF Full Text: DOI
Capuano, Laura; Murru, Nadir; Terracini, Lea On the finiteness of \(\mathfrak{P}\)-adic continued fractions for number fields. (Sur la finitude des fractions continues \(\mathfrak{P}\)-adiques pour les corps de nombres.) (English. French summary) Zbl 1527.11058 Bull. Soc. Math. Fr. 150, No. 4, 743-772 (2022). Reviewer: Marcel G. de Bruin (Heemstede) MSC: 11J70 11D88 11Y65 11J72 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ammous, Basma; Dammak, Lamia; Hbaib, Mohamed Palindromic and quasi-palindromic Ruban continued fractions in \(\mathbb{Q}_p\). (English) Zbl 1523.11128 Houston J. Math. 48, No. 2, 353-368 (2022). Reviewer: Stéphane Fischler (Paris) MSC: 11J61 11J70 11J81 11J87 × Cite Format Result Cite Review PDF Full Text: Link
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
Barbero, Stefano; Cerruti, Umberto; Murru, Nadir Periodic representations for quadratic irrationals in the field of \(p\)-adic numbers. (English) Zbl 1469.11231 Math. Comput. 90, No. 331, 2267-2280 (2021). MSC: 11J70 12J25 11J61 × Cite Format Result Cite Review PDF Full Text: DOI Link
Murru, Nadir; Terracini, Lea On the finiteness and periodicity of the \(p\)-adic Jacobi-Perron algorithm. (English) Zbl 1455.11099 Math. Comput. 89, No. 326, 2913-2930 (2020). Reviewer: Michael M. Pahirya (Mukachevo) MSC: 11J70 12J25 11J61 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Saito, Asaki; Tamura, Jun-Ichi; Yasutomi, Shin-Ichi Multidimensional \(p\)-adic continued fraction algorithms. (English) Zbl 1451.11075 Math. Comput. 89, No. 321, 351-372 (2020). Reviewer: Marcel G. de Bruin (Heemstede) MSC: 11J70 11J61 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Murru, Nadir; Terracini, Lea On \(p\)-adic multidimensional continued fractions. (English) Zbl 1435.11092 Math. Comput. 88, No. 320, 2913-2934 (2019). Reviewer: Oleg Karpenkov (Liverpool) MSC: 11J70 12J25 11J61 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Capuano, Laura; Veneziano, Francesco; Zannier, Umberto An effective criterion for periodicity of \(\ell\)-adic continued fractions. (English) Zbl 1423.11121 Math. Comput. 88, No. 318, 1851-1882 (2019). Reviewer: Michael M. Pahirya (Mukachevo) MSC: 11J70 11D88 11Y16 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dalloul, Amran On \(p\)-adic continued frations. (English) Zbl 1416.11125 JP J. Algebra Number Theory Appl. 40, No. 5, 875-886 (2018). MSC: 11J70 11Y65 11S99 × Cite Format Result Cite Review PDF Full Text: DOI