Baruah, Nayandeep Deka; Talukdar, Pranjal Identities for the Rogers-Ramanujan continued fraction. (English) Zbl 07981477 J. Korean Math. Soc. 62, No. 1, 97-126 (2025). MSC: 11F27 11P84 11A55 33D90 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kumar, Vikash; Marcellán, Francisco; Swaminathan, A. Recovering orthogonality from quasi-nature of spectral transformations. (English) Zbl 07965394 Bull. Malays. Math. Sci. Soc. (2) 48, No. 1, Paper No. 26, 35 p. (2025). MSC: 42C05 33C45 26C10 11A55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Campbell, John M. On combinatorial and hypergeometric approaches toward second-order difference equations. (English) Zbl 07952116 Discrete Math. 348, No. 2, Article ID 114316, 5 p. (2025). MSC: 11A55 39A06 11Y65 30B70 × Cite Format Result Cite Review PDF Full Text: DOI
Guadalupe, Russelle; Aricheta, Victor Manuel Analogue of Ramanujan’s function \(k(\tau)\) for the continued fraction \(X(\tau)\) of order six. (English) Zbl 07946964 Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 71, No. 1, Paper No. 6, 18 p. (2025). Reviewer: Noburo Ishii (Kyōto) MSC: 11F03 11F11 11R37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Duman, Merve Güney Perfect powers as difference of Perrin numbers and Padovan numbers. (English) Zbl 07978840 Honam Math. J. 46, No. 4, 552-566 (2024). MSC: 11B83 11K31 11J86 11D61 × Cite Format Result Cite Review PDF Full Text: DOI
Kim, Dong Han Generalized continued fraction algorithm for the index 3 sublattice. (English) Zbl 07978634 J. Korean Soc. Math. Educ., Ser. B, Pure Appl. Math. 31, No. 4, 439-451 (2024). MSC: 11J70 37E05 × Cite Format Result Cite Review PDF Full Text: DOI
Dolgov, Dmitry A. On continuants of continued fractions with rational partial quotients. (English) Zbl 07975792 Discrete Math. Appl. 34, No. 6, 317-330 (2024). MSC: 11J70 11Y65 × Cite Format Result Cite Review PDF Full Text: DOI
Ehrenborg, Richard; Hetyei, Gàbor; Readdy, Margaret Catalan-Spitzer permutations. (English) Zbl 07964438 Enumer. Comb. Appl. 4, No. 2, Article ID S2R15, 16 p. (2024). MSC: 05A15 05A05 05A10 05E18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fiedler, Bernold; Rocha, Carlos Design of Sturm global attractors 2: time-reversible Chafee-Infante lattices of 3-nose meanders. (English) Zbl 07961160 São Paulo J. Math. Sci. 18, No. 2, 975-1014 (2024). MSC: 16-XX 17-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shruthi; Kumar, B. R. Srivatsa Arithmetic properties of \(l\)-regular partitions and \(l\)-regular bipartitions. (English) Zbl 07960868 Rend. Circ. Mat. Palermo (2) 73, No. 8, 3055-3064 (2024). MSC: 11P82 05A15 05A17 × Cite Format Result Cite Review PDF Full Text: DOI
López-García, A.; Prokhorov, V. A. Lattice paths, vector continued fractions, and resolvents of banded Hessenberg operators. (English) Zbl 07955147 Comput. Methods Funct. Theory 24, No. 4, 769-809 (2024). MSC: 05A15 30B70 47A10 11A55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dolgov, Dmitriĭ Aleksandrovich On the continued fraction with rational partial quotients. (Russian. English summary) Zbl 07953468 Chebyshevskiĭ Sb. 25, No. 2(93), 43-66 (2024). MSC: 11Y16 11A55 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Akkarapakam, Sushmanth J.; Morton, Patrick On Ramanujan’s cubic continued fraction. (English) Zbl 07951616 Ramanujan J. 65, No. 4, 1709-1756 (2024). MSC: 11A55 11R04 11R37 11G15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hida, Takanori Some combinatorial results on Ducci matrix sequence representation. (English) Zbl 07947676 J. Comb. 15, No. 4, 413-438 (2024). Reviewer: Gian Luigi Forti (Milano) MSC: 39B12 37B20 37E15 11A55 × Cite Format Result Cite Review PDF Full Text: DOI
Raksha, B. R. Srivatsa Kumar; Kim, Taekyun Vanishing coefficients and algebraic relations for the continued fraction of order 18, 26 and 30. (English) Zbl 07946422 Adv. Stud. Contemp. Math., Kyungshang 34, No. 4, 307-322 (2024). MSC: 11-XX × Cite Format Result Cite Review PDF Full Text: DOI
Myslo, Yuliya Mykhaĭlivna The corresponding quasi-inverse chain fraction of Thiele type. (Ukrainian. English summary) Zbl 07946158 Proc. Int. Geom. Cent. 17, No. 2, 171-189 (2024). MSC: 30B70 × Cite Format Result Cite Review PDF Full Text: DOI
Rajkhowa, Shraddha; Saikia, Nipen Some results on continued fractions of order thirty-two. (English) Zbl 07945328 Proc. Jangjeon Math. Soc. 27, No. 4, 781-799 (2024). MSC: 30B70 11F27 11A55 11P84 × Cite Format Result Cite Review PDF Full Text: DOI
Salazar Celis, Oliver Numerical continued fraction interpolation. (English) Zbl 1548.41012 Ukr. Math. J. 76, No. 4, 635-648 (2024); and Ukr. Mat. Zh. 76, No. 4, 568-580 (2024). Reviewer: Kai Diethelm (Schweinfurt) MSC: 41A20 41A50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhao, Xuan; Zhang, Zhenliang Some lacunarity properties of partial quotients of real numbers. (Quelques propriétés de lacunarité des quotients partiels de nombres réels.) (English. French summary) Zbl 07939444 C. R., Math., Acad. Sci. Paris 362, 1089-1095 (2024). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11K50 28A78 × Cite Format Result Cite Review PDF Full Text: DOI
Goda, Takashi One-dimensional quasi-uniform Kronecker sequences. (English) Zbl 07939431 Arch. Math. 123, No. 5, 499-505 (2024). MSC: 11J71 11K36 65D12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fogg, N. Pytheas; Noûs, Camille Symbolic coding of linear complexity for generic translations on the torus, using continued fractions. (English) Zbl 07938121 J. Mod. Dyn. 20, 527-596 (2024). MSC: 37B10 37B51 11J70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Deb, Bishal; Sokal, Alan D. Continued fractions for cycle-alternating permutations. (English) Zbl 07937713 Ramanujan J. 65, No. 3, 1013-1060 (2024). MSC: 05A05 11A55 05A15 05A19 05A30 11B68 30B70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shiokawa, Iekata Irrationality exponents of certain alternating series. (English) Zbl 07932513 Ramanujan J. 65, No. 2, 917-928 (2024). Reviewer: Oleg Karpenkov (Liverpool) MSC: 11A55 11J70 11J72 11J81 × Cite Format Result Cite Review PDF Full Text: DOI
Hančl, Jaroslav; Nair, Radhakrishnan On a theorem of Borel on Diophantine approximation. (English) Zbl 07932512 Ramanujan J. 65, No. 2, 897-915 (2024). Reviewer: Jan Šustek (Ostrava) MSC: 11J82 11A55 × Cite Format Result Cite Review PDF Full Text: DOI
Hu, Yining; Lasjaunias, Alain Period-doubling continued fractions are algebraic in characteristic 2. (Les fractions continues de doublement de période sont algébriques en caractéristique 2.) (English. French summary) Zbl 07928996 Ann. Inst. Fourier 74, No. 5, 1809-1817 (2024). MSC: 11B85 11A55 11J70 11B50 11Y65 05A15 11T55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ayadi, K.; Kalia, S.; Saadaoui, M. An approach to Zaremba’s conjecture throughout Fibonacci sequences. (English) Zbl 07927153 Matematiche 79, No. 1, 93-111 (2024). Reviewer: Takao Komatsu (Hangzhou) MSC: 11A55 11D68 × Cite Format Result Cite Review PDF Full Text: DOI
Kamizawa, Takeo Some algebraic methods for analysing matrix continued fractions. (English) Zbl 07927128 Funct. Approximatio, Comment. Math. 71, No. 1, 157-181 (2024). Reviewer: Mykhaylo Pahirya (Uzhhorod) MSC: 11J70 16S50 16G99 × Cite Format Result Cite Review PDF Full Text: DOI
Pant, G. S.; Chand, K. B. Results on basic hypergeometric series and continued fractions. (English) Zbl 07927008 J. Ramanujan Soc. Math. Math. Sci. 11, No. 2, 143-152 (2024). Reviewer: Toufik Mansour (Haifa) MSC: 33D15 40A15 11B65 11Y65 × Cite Format Result Cite Review PDF Full Text: DOI
Chaudhary, M. P.; Vanitha, A. Certain identities associated with Eisenstein series, Göllnitz-Gordon identities and combinatorial partition identities for the continued fractions of order sixteen. (English) Zbl 07927000 J. Ramanujan Soc. Math. Math. Sci. 11, No. 2, 55-62 (2024). Reviewer: Vijay Yadav (Virar) MSC: 11A55 11M36 11P83 × Cite Format Result Cite Review PDF Full Text: DOI
Borda, Bence Optimal and typical \(L^2\) discrepancy of 2-dimensional lattices. (English) Zbl 07925470 Ann. Mat. Pura Appl. (4) 203, No. 5, 2157-2184 (2024). Reviewer: Anton Shutov (Vladimir) MSC: 11K38 11J83 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yadav, Vijay; Dubey, Dev Mani Certain results involving Ramanujan’s theta functions and continued fractions. (English) Zbl 07925176 South East Asian J. Math. Math. Sci. 20, No. 1, 425-430 (2024). MSC: 33D15 40A15 11A55 30B70 × Cite Format Result Cite Review PDF Full Text: DOI
Rana, M.; Kaur, H. Some matching coefficients of \(q\)-products. (English) Zbl 07925175 South East Asian J. Math. Math. Sci. 20, No. 1, 405-424 (2024). MSC: 11A55 11F33 × Cite Format Result Cite Review PDF Full Text: DOI
Deb, Bishal; Sokal, Alan D. Classical continued fractions for some multivariate polynomials generalizing the Genocchi and median Genocchi numbers. (English) Zbl 1548.05020 Adv. Appl. Math. 161, Article ID 102756, 92 p. (2024). MSC: 05A05 05A15 05A19 05A30 11B68 30B70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Abrams, Adam; Downarowicz, Tomasz Destruction of CPE-normality along deterministic sequences. (English) Zbl 07922320 Fundam. Math. 266, No. 2, 167-192 (2024). MSC: 11K16 11A55 11K55 37B10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rajkhowa, Shraddha; Saikia, Nipen Theta-function identities of Ramanujan’s continued fractions of order fourteen and twenty-eight, partition identities and vanishing coefficients. (English) Zbl 07920799 Funct. Approximatio, Comment. Math. 70, No. 2, 233-244 (2024). MSC: 11F27 11A55 11P84 × Cite Format Result Cite Review PDF Full Text: DOI Link
Jibiki, Yoshinori Algorithms of transformation between positive and even continued fractions. (English) Zbl 07919759 Tokyo J. Math. 47, No. 1, 111-123 (2024). Reviewer: Takao Komatsu (Hangzhou) MSC: 11A55 11Y65 × Cite Format Result Cite Review PDF Full Text: DOI Link
Duverney, Daniel; Shiokawa, Iekata Irrationality exponents of semi-regular continued fractions. (English) Zbl 07919758 Tokyo J. Math. 47, No. 1, 89-109 (2024). Reviewer: Oleg Karpenkov (Liverpool) MSC: 11A55 11J70 11J82 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Ayadi, Khalil; Ben Bechir, Chiheb; Elkadri, Samir On simultaneous approximation of algebraic power series over a finite field. (English) Zbl 1546.11108 \(p\)-Adic Numbers Ultrametric Anal. Appl. 16, No. 3, 289-294 (2024). MSC: 11J68 11J61 × Cite Format Result Cite Review PDF Full Text: DOI
Duman, Merve Güney Padovan numbers that are concatenations of a Padovan number and a Perrin number. (English) Zbl 07915710 Period. Math. Hung. 89, No. 1, 139-154 (2024). MSC: 11D72 11A55 11J68 11J86 11B83 × Cite Format Result Cite Review PDF Full Text: DOI
Feng, Yan; Zhang, Yuan Oppenheim continued fraction expansion and beta-expansion. (English) Zbl 07915150 J. Math. Anal. Appl. 540, No. 1, Article ID 128560, 16 p. (2024). Reviewer: Takao Komatsu (Hangzhou) MSC: 11K55 28A80 11K50 × Cite Format Result Cite Review PDF Full Text: DOI
You, Xu Approximation and inequalities for the factorial function related to the Burnside’s formula. (English) Zbl 07910622 Cubo 26, No. 2, 317-326 (2024). MSC: 11Y60 11A55 41A25 × Cite Format Result Cite Review PDF Full Text: DOI
Kraaikamp, Cor; Langeveld, Niels On matching and periodicity for \((N,\alpha)\)-expansions. (English) Zbl 07904957 Ramanujan J. 64, No. 4, 1479-1496 (2024). Reviewer: Steve Pederson (Atlanta) MSC: 37E05 11A55 11K50 11Y65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Han, Bin; Pan, Qiongqiong \((p, q, t)\)-Catalan continued fractions, gamma expansions and pattern avoidances. (English) Zbl 1546.05004 Adv. Appl. Math. 159, Article ID 102735, 22 p. (2024). MSC: 05A05 05A15 05A19 11A55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bugeaud, Yann; Han, Guo-Niu The Thue-Morse continued fractions in characteristic 2 are algebraic. (English) Zbl 07903803 Acta Arith. 214, 1-22 (2024). Reviewer: Jean-Paul Allouche (Paris) MSC: 11J70 11A55 11B85 11J61 11T55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jellali, Manel Purely periodic Rosen continued fractions. (English) Zbl 07903771 Rocky Mt. J. Math. 54, No. 3, 787-792 (2024). Reviewer: Ismail Naci Cangül (Bursa) MSC: 11A55 11F06 11J70 11Y65 × Cite Format Result Cite Review PDF Full Text: DOI Link
Wang, Zhaonan; Deng, Yingpu Convergence, finiteness and periodicity of several new algorithms of \(p\)-adic continued fractions. (English) Zbl 07899602 Math. Comput. 93, No. 350, 2921-2942 (2024). Reviewer: Mykhaylo Pahirya (Uzhhorod) MSC: 11J70 11Y65 11D88 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dmytryshyn, R.; Lutsiv, I.-A.; Dmytryshyn, M. On the analytic extension of the Horn’s hypergeometric function \(H_4\). (English) Zbl 07898615 Carpathian Math. Publ. 16, No. 1, 32-39 (2024). MSC: 32A17 33C65 41A20 32D15 × Cite Format Result Cite Review PDF Full Text: DOI
Hladun, V. R.; Bodnar, D. I.; Rusyn, R. S. Convergence sets and relative stability to perturbations of a branched continued fraction with positive elements. (English) Zbl 1548.30013 Carpathian Math. Publ. 16, No. 1, 16-31 (2024). MSC: 30B70 × Cite Format Result Cite Review PDF Full Text: DOI
Hone, A. N. W.; Roberts, J. A. G.; Vanhaecke, P. A family of integrable maps associated with the Volterra lattice. (English) Zbl 1546.37113 Nonlinearity 37, No. 9, Article ID 095028, 65 p. (2024). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J70 37K60 39A36 14E05 14H70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Somanath, Manju; V. A., Bindu; Das, Radhika Solutions in integers for the quadratic Diophantine equation. (English) Zbl 07892905 Gaṇita 74, No. 1, 251-258 (2024). × Cite Format Result Cite Review PDF Full Text: Link
Alazemi, Abdullah; Hopkins, Tim; Kılıç, Emrah A four parameter extension to the Clement matrix and its role in numerical software testing. (English) Zbl 1545.65150 J. Comput. Appl. Math. 450, Article ID 115986, 16 p. (2024). MSC: 65F15 15A18 15B99 × Cite Format Result Cite Review PDF Full Text: DOI
Hladun, V.; Rusyn, R.; Dmytryshyn, M. On the analytic extension of three ratios of Horn’s confluent hypergeometric function \( \text{H}_7\). (English) Zbl 1545.33012 Res. Math. 32, No. 1, 60-70 (2024). MSC: 33C65 40A15 30B70 30B40 32D15 × Cite Format Result Cite Review PDF Full Text: DOI
Akkarapakam, Sushmanth J.; Morton, Patrick Periodic points of algebraic functions related to a continued fraction of Ramanujan. (English) Zbl 07883460 New York J. Math. 30, 783-827 (2024). MSC: 11G15 11F11 11R37 37P05 14H05 37F05 11R37 11D88 11R29 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Ahallal, S.; Kacha, A.; Mennou, S. Representation of Fresnel functions in continued fractions. (English) Zbl 1549.65027 Proc. Jangjeon Math. Soc. 27, No. 2, 309-320 (2024). MSC: 65D15 33C10 30B70 × Cite Format Result Cite Review PDF Full Text: DOI
Han, Sandie; Masuda, Ariane M.; Singh, Satyanand; Thiel, Johann Solving the membership problem for certain subgroups of \(\mathrm{SL}_2 (\mathbb{Z})\). (English) Zbl 07868229 J. Algebra 653, 281-297 (2024). Reviewer: Nihal Özgür (İzmir) MSC: 20H10 20E05 20F10 11A55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Antonova, Tamara; Cesarano, Clemente; Dmytryshyn, Roman; Sharyn, Serhii An approximation to Appell’s hypergeometric function \(F_2\) by branched continued fraction. (English) Zbl 1542.33016 Dolomites Res. Notes Approx. 17, No. 1, 22-31 (2024). MSC: 33C65 33C50 33C05 40A15 11Y65 × Cite Format Result Cite Review PDF Full Text: DOI
Efendiev, Messoud; Sengul, Taylan; Tiryakioglu, Burhan Two approaches to instability analysis of the viscous Burgers’ equation. (English) Zbl 1546.37123 Discrete Contin. Dyn. Syst., Ser. S 17, No. 4, 1621-1638 (2024). MSC: 37L15 37L10 × Cite Format Result Cite Review PDF Full Text: DOI
Hauke, Manuel On the asymptotic behaviour of Sudler products for badly approximable numbers. (English) Zbl 07852327 J. Math. Anal. Appl. 531, No. 1, Part 1, Article ID 127737, 26 p. (2024). Reviewer: Mohamed Hbaib (Sfax) MSC: 11J70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Řada, Hanka; Starosta, Štěpán; Kala, Vítězslav Periodicity of general multidimensional continued fractions using repetend matrix form. (English) Zbl 1542.11012 Expo. Math. 42, No. 3, Article ID 125571, 37 p. (2024). Reviewer: Alexey Ustinov (Khabarovsk) MSC: 11A55 11J70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dmytryshyn, R.; Cesarano, C.; Lutsiv, I.-A.; Dmytryshyn, M. Numerical stability of the branched continued fraction expansion of Horn’s hypergeometric function \(H_4\). (English) Zbl 1537.32008 Mat. Stud. 61, No. 1, 51-60 (2024). MSC: 32A17 30B70 33C65 65G50 × Cite Format Result Cite Review PDF Full Text: DOI
Cheung, Yitwah; Chevallier, Nicolas Lévy-Khintchin theorem for best simultaneous Diophantine approximations. (Théorème de Lévy-Khintchin pour les meilleures approximations diophantiennes simultanées.) (English. French summary) Zbl 07837750 Ann. Sci. Éc. Norm. Supér. (4) 57, No. 1, 185-240 (2024). Reviewer: Enrico Zoli (Faenza) MSC: 11J13 11J83 11K55 37A17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Borda, Bence Remarks on sums of reciprocals of fractional parts. (English) Zbl 07835526 Acta Arith. 212, No. 4, 373-389 (2024). Reviewer: Manuel Hauke (Trondheim) MSC: 11J54 11J71 11J83 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tang, Dazhao Note on two modular equations of Ramanujan. (English) Zbl 1539.11039 Indian J. Pure Appl. Math. 55, No. 1, 47-53 (2024). MSC: 11B65 11F27 11A55 05A30 × Cite Format Result Cite Review PDF Full Text: DOI
Sokal, Alan D. Multiple orthogonal polynomials, \(d\)-orthogonal polynomials, production matrices, and branched continued fractions. (English) Zbl 1536.42027 Trans. Am. Math. Soc., Ser. B 11, 762-797 (2024). MSC: 42C05 05A15 05A19 15A24 15A99 15B99 30B70 30E05 33C45 41A21 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI
Bugeaud, Yann; Han, Guo-Niu On the rational approximation to Thue-Morse rational numbers. (English) Zbl 1547.11077 Rend. Semin. Mat. Univ. Padova 151, 123-136 (2024). Reviewer: Mykhaylo Pahirya (Uzhhorod) MSC: 11J70 11J04 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Romeo, Giuliano Continued fractions in the field of \(p\)-adic numbers. (English) Zbl 1545.11069 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
Wang, Ying; Zhang, Zihao Sufficient condition for \((\alpha,\beta)\) Somos 4 Hankel determinants. (English) Zbl 1535.05022 Discrete Math. 347, No. 5, Article ID 113937, 5 p. (2024). MSC: 05A15 11A55 11B37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guadalupe, Russelle Modularity of a certain continued fraction of Ramanujan. (English) Zbl 07823294 Ramanujan J. 63, No. 4, 947-967 (2024). Reviewer: Noburo Ishii (Kyōto) MSC: 11F03 11F11 11R37 × Cite Format Result Cite Review PDF Full Text: DOI
Murru, Nadir; Romeo, Giuliano A new algorithm for \(p\)-adic continued fractions. (English) Zbl 1543.11058 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 Link
Marciniak, Karol; Saleem, Faisal; Wiora, Józef Influence of models approximating the fractional-order differential equations on the calculation accuracy. (English) Zbl 07810013 Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107807, 18 p. (2024). MSC: 65-XX 34A08 × Cite Format Result Cite Review PDF Full Text: DOI
Sutthimat, Phiraphat; Laohakosol, Vichian; Meesa, Rattiya A unified approach to derive explicit solutions of generalized second-order linear recurrences and applications. (English) Zbl 1546.39002 Discrete Math. 347, No. 2, Article ID 113757, 16 p. (2024). MSC: 39A06 11B37 05A15 11A55 × Cite Format Result Cite Review PDF Full Text: DOI
Feng, Yan; Shi, Saisai; Zhang, Yuan Metrical properties for the weighted sums of degrees of multiple partial quotients in continued fractions of Laurent series. (English) Zbl 07784993 Finite Fields Appl. 93, Article ID 102317, 27 p. (2024). Reviewer: Lukas Spiegelhofer (Leoben) MSC: 11K16 11K55 28A78 × Cite Format Result Cite Review PDF Full Text: DOI
Chandoul, Amara; Assiry, Abdallah On the \(k^{th}\) metallic ratio and the Diophantine equations. (English) Zbl 1538.11102 Int. J. Math. Comput. Sci. 19, No. 1, 89-97 (2024). MSC: 11D45 11Y65 × Cite Format Result Cite Review PDF Full Text: Link
Yasutomi, Shin-ichi Periodic points in complex continued fractions by J. Hurwitz. arXiv:2410.16683 Preprint, arXiv:2410.16683 [math.NT] (2024). MSC: 11J70 11Y65 11A55 × Cite Format Result Cite Full Text: arXiv OA License
Romeo, Giuliano Real convergence and periodicity of \(p\)-adic continued fractions. arXiv:2410.09215 Preprint, arXiv:2410.09215 [math.NT] (2024). MSC: 11J70 11D88 11Y65 12J25 × Cite Format Result Cite Full Text: arXiv
O’Sullivan, Cormac Topographs for binary quadratic forms and class numbers. arXiv:2408.14405 Preprint, arXiv:2408.14405 [math.NT] (2024). MSC: 11E16 11E41 11Y65 × Cite Format Result Cite Full Text: arXiv OA License
Stachowiak, Tomasz Irrational Acceleration of a Continued Fraction of \(\pi\). arXiv:2406.01295 Preprint, arXiv:2406.01295 [math.NT] (2024). MSC: 11J70 11Y65 × Cite Format Result Cite Full Text: arXiv
Korolev, M. A. An upper bound for the second moment of the length of the period of the continued fraction expansion for \(\sqrt{d}\). arXiv:2403.08616 Preprint, arXiv:2403.08616 [math.NT] (2024). MSC: 11A55 11L05 11Y65 × Cite Format Result Cite Full Text: arXiv OA License
Battistoni, Francesco; Grenié, Loïc; Molteni, Giuseppe The first and second moment for the length of the period of the continued fraction expansion for \(\sqrt{d}\). arXiv:2401.13118 Preprint, arXiv:2401.13118 [math.NT] (2024). MSC: 11A55 11R11 11Y65 × Cite Format Result Cite Full Text: DOI arXiv OA License
Ojeda, César; Palma, Wilfredo; Eyheramendy, Susana; Elorrieta, Felipe A novel first-order autoregressive moving average model to analyze discrete-time series irregularly observed. (English) Zbl 07910579 Valenzuela, Olga (ed.) et al., Theory and applications of time series analysis and forecasting. Selected contributions from the 7th international conference on time series and forecasting, ITISE 2021, Gran Canaria, Spain, July 19–21, 2021. Cham: Springer. Contrib. Stat., 91-103 (2023). MSC: 62M10 62M20 62P20 91-06 91B84 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kala, Vítězslav Universal quadratic forms and indecomposables in number fields: a survey. (English) Zbl 07902973 Commun. Math. 31, No. 2, 81-114 (2023). Reviewer: Anton Shutov (Vladimir) MSC: 11E12 11E20 11E25 11H06 11A55 11H55 11R04 11R11 11R16 11R21 11R80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Kwon, DoYong A function containing all Lagrange numbers less than three. (English) Zbl 1549.11118 Honam Math. J. 45, No. 3, 542-554 (2023). MSC: 11J06 11A55 26A30 68R15 × Cite Format Result Cite Review PDF Full Text: DOI
Rajkhowa, Shraddha; Saikia, Nipen Theta-function identities, explicit values for Ramanujan’s continued fractions of order sixteen and applications to partition theory. (English) Zbl 1540.11038 Integers 23, Paper A59, 15 p. (2023). MSC: 11F27 11P83 11A55 × Cite Format Result Cite Review PDF Full Text: Link
Spier, Thomás Jung On means of near continued fractions. (English) Zbl 1548.11020 Integers 23, Paper A96, 11 p. (2023). Reviewer: Mykhaylo Pahirya (Uzhhorod) MSC: 11A55 11J70 11Y65 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Conley, Charles H.; Ovsienko, Valentin Quiddities of polygon dissections and the Conway-Coxeter frieze equation. (English) Zbl 1539.05015 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 24, No. 4, 2125-2170 (2023). MSC: 05B45 05A15 05E16 05A16 11A55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Belaggoun, Nassima; Belbachir, Hacéne Continued fractions for bi-periodic Fibonacci sequence. (English) Zbl 1549.11014 Ann. Math. Inform. 59, 1-12 (2023). MSC: 11A55 11B39 × Cite Format Result Cite Review PDF Full Text: DOI
Fedorov, G. V. Continued fractions and the classification problem for elliptic fields over quadratic fields of constants. (English. Russian original) Zbl 1532.11093 Math. Notes 114, No. 6, 1195-1211 (2023); translation from Mat. Zametki 114, No. 6, 873-893 (2023). MSC: 11J70 11R58 11R27 14G05 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
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
Sophia, S.; Deepika, B. Muthu; Lakshmi, S. R. Ananatha Analysis of a fluid queue driven by a queue with multiple exponential vacations and impatient customers. (English) Zbl 1544.60091 Bull. Math. Anal. Appl. 15, No. 2, 1-13 (2023). MSC: 60K25 × Cite Format Result Cite Review PDF Full Text: Link
Güney Duman, Merve; Keskin, Refik; Hocaoğlu, Leman Padovan numbers as sum of two repdigits. (English) Zbl 1549.11034 C. R. Acad. Bulg. Sci. 76, No. 9, 1326-1334 (2023). Reviewer: Angela Slavova (Sofia) MSC: 11B39 11D61 11A55 11J86 × Cite Format Result Cite Review PDF Full Text: DOI
Bakhtawar, Ayreena; Hussain, Mumtaz; Kleinbock, Dmitry; Wang, Bao-Wei Metrical properties for the weighted products of multiple partial quotients in continued fractions. (English) Zbl 1542.11067 Houston J. Math. 49, No. 1, 159-194 (2023). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11K50 11J70 11J83 28A78 28A80 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Ayadi, Khalil; Ben Bechir, Chiheb; Saadaoui, Maher Specializable series resulting from folded continued fractions and transcendence. (English) Zbl 1533.11015 Houston J. Math. 49, No. 2, 339-351 (2023). Reviewer: Takao Komatsu (Hangzhou) MSC: 11A55 11J81 × Cite Format Result Cite Review PDF Full Text: 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: 11K50 26A27 26A30 × Cite Format Result Cite Review PDF Full Text: DOI
Bodnar, D. I.; Bodnar, O. S.; Bilanyk, I. B. A truncation error bound for branched continued fractions of the special form on subsets of angular domains. (English) Zbl 1543.40001 Carpathian Math. Publ. 15, No. 2, 437-448 (2023). MSC: 40A15 30B70 × Cite Format Result Cite Review PDF Full Text: DOI
Dmytryshyn, R. I.; Lutsiv, I.-A. V.; Bodnar, O. S. On the domains of convergence of the branched continued fraction expansion of ratio \(H_4(a,d+1;c,d;\mathbf{z})/H_4(a,d+2;c,d+1;\mathbf{z})\). (English) Zbl 1536.33012 Res. Math. 31, No. 2, 19-26 (2023). Reviewer: Marcel G. de Bruin (Heemstede) MSC: 33C65 32A17 32A10 40A15 30B70 × Cite Format Result Cite Review PDF Full Text: DOI
Mori, Yoshiyuki; Takashima, Keizo On graphical shapes of \(\chi^2\) statistics of leading digits of irrational rotations. (English) Zbl 07794416 Math. Pannonica (N.S.) 29, No. 2, 139-148 (2023). MSC: 11K38 11K31 11A55 × Cite Format Result Cite Review PDF Full Text: DOI
Rogosin, S. V.; Primachuk, L. P.; Dubatovskaya, M. V. Factorization of the partly non-rational matrix of arbitrary order. (English) Zbl 1531.15015 Lobachevskii J. Math. 44, No. 9, 4054-4061 (2023). MSC: 15A23 × Cite Format Result Cite Review PDF Full Text: DOI
Kekeç, Gülcan On transcendental regular continued fractions. (English) Zbl 1541.11062 Math. Slovaca 73, No. 6, 1399-1408 (2023). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J82 11J70 × Cite Format Result Cite Review PDF Full Text: DOI