Kovač, Vjekoslav On eventually greedy best underapproximations by Egyptian fractions. (English) Zbl 07956621 J. Number Theory 268, 39-48 (2025). MSC: 11D68 11D75 11P99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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
Yuan, Xiaodan On the Diophantine equation \(\frac{4}{n} = \frac{1}{x} + \frac{1}{y} + \frac{1}{z}\). (English) Zbl 07940140 JP J. Algebra Number Theory Appl. 63, No. 5, 459-480 (2024). MSC: 11D68 11D85 × 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
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
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
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
Aryapoor, Masood On some notions of algebraically closed \(\sigma\)-fields. (English) Zbl 07888138 J. Algebra Appl. 23, No. 8, Article ID 2550036, 26 p. (2024). MSC: 16S36 × 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
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
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
Chu, Hùng Việt A threshold for the best two-term underapproximation by Egyptian fractions. (English) Zbl 1543.11036 Indag. Math., New Ser. 35, No. 2, 350-375 (2024). MSC: 11D68 11Y55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Prugsapitak, Supawadee Corrigendum to: “The Egyptian fraction of the form \(\frac{1}{a}+\frac{1}{b}=\frac{q-1}{pq}\)”. (English) Zbl 1538.11119 Int. J. Math. Comput. Sci. 19, No. 1, 237 (2024). MSC: 11D68 × Cite Format Result Cite Review PDF Full Text: Link
Rovba, Evgeniĭ Alekseevich; Medvedeva, Viktoria Yur’evna Rational interpolation of a function \(|x|^ \alpha\) with Chebyshev-Markov nodes of the first kind. (Russian. English summary) Zbl 07973404 Zh. Beloruss. Gos. Univ., Mat., Inform. 2023, No. 1, 6-19 (2023). MSC: 41A20 × Cite Format Result Cite Review PDF Full Text: Link
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
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
Bugeaud, Yann \(B'\). (English) Zbl 1549.11122 Publ. Math. Debr. 103, No. 3-4, 499-533 (2023). MSC: 11J86 11J04 11D59 11D61 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bugeaud, Yann; Laurent, Michel Transcendence and continued fraction expansion of values of Hecke-Mahler series. (English) Zbl 1536.11108 Acta Arith. 209, 59-90 (2023). Reviewer: Mykhaylo Pahirya (Uzhhorod) MSC: 11J04 11J70 11J81 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chu, Hùng Việt Approximation by Egyptian fractions and the weak greedy algorithm. (English) Zbl 1523.11062 Indag. Math., New Ser. 34, No. 6, 1303-1317 (2023). MSC: 11D68 11J72 11Y55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mattei, Ornella; Milton, Graeme W.; Putinar, Mihai An extremal problem arising in the dynamics of two-phase materials that directly reveals information about the internal geometry. (English) Zbl 1537.74296 Commun. Pure Appl. Math. 76, No. 10, 2372-2409 (2023). MSC: 74N20 74E30 74H75 74D05 74S99 35Q74 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bugeaud, Yann; Laurent, Michel Combinatorial structure of Sturmian words and continued fraction expansion of Sturmian numbers. (Structure combinatoire des mots Sturmiens et développement en fraction continue des nombres Sturmiens.) (English. French summary) Zbl 1533.11130 Ann. Inst. Fourier 73, No. 5, 2029-2078 (2023). Reviewer: Oleg Karpenkov (Liverpool) MSC: 11J04 11J70 11J81 68R15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kaushik, Santosh; Kumar, Satish Certain form of Hilbert-type inequality using non-homogeneous kernel of hyperbolic functions. (English) Zbl 1520.26011 Korean J. Math. 31, No. 2, 189-201 (2023). MSC: 26D10 26D15 × Cite Format Result Cite Review PDF Full Text: DOI
Schröcker, Hans-Peter; Šír, Zbyněk Optimal interpolation with spatial rational Pythagorean hodograph curves. (English) Zbl 1545.65063 Appl. Math. Comput. 458, Article ID 128214, 17 p. (2023). MSC: 65D05 65D07 65D17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bojković, Velibor; Nikolić, Jovana; Zekić, Mladen A note on rational surgeries on a Hopf link. (English) Zbl 07729526 Czech. Math. J. 73, No. 2, 603-611 (2023). MSC: 57K30 57R65 11A55 × Cite Format Result Cite Review PDF Full Text: DOI
Komarov, Mikhail Anatol’evich Rate of interpolation of analytic functions with regularly decreasing coefficients by simple partial fractions. (Russian. English summary) Zbl 1523.30047 Izv. Sarat. Univ. (N.S.), Ser. Mat. Mekh. Inform. 23, No. 2, 157-168 (2023). MSC: 30E05 41A05 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Miao, Guangqin; Ding, Feng; Liu, Qinyao; Yang, Erfu Iterative parameter identification algorithms for transformed dynamic rational fraction input-output systems. (English) Zbl 1520.93553 J. Comput. Appl. Math. 434, Article ID 115297, 23 p. (2023). MSC: 93E10 93C10 90C52 90C53 × Cite Format Result Cite Review PDF Full Text: DOI
Bugeaud, Yann On the rational approximation to \(p\)-adic Thue-Morse numbers. (English) Zbl 1532.11086 Rev. Mat. Iberoam. 39, No. 4, 1349-1371 (2023). Reviewer: István Gaál (Debrecen) MSC: 11J61 11J04 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Schröcker, Hans-Peter; Šír, Zbyněk Partial fraction decomposition for rational Pythagorean hodograph curves. (English) Zbl 1530.65026 J. Comput. Appl. Math. 428, Article ID 115196, 13 p. (2023). MSC: 65D17 68U07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ovenhouse, Nicholas \(q\)-rationals and finite Schubert varieties. (English) Zbl 1516.05012 C. R., Math., Acad. Sci. Paris 361, 807-818 (2023). Reviewer: Thomas Ernst (Uppsala) MSC: 05A30 05A15 05A17 14M15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Daowsud, Katthaleeya; Schmidt, Thomas A. Corrigendum to: “Continued fractions for rational torsion”. (English) Zbl 1508.11119 J. Number Theory 246, 326-327 (2023). MSC: 11Y65 11G30 14H40 14Q05 × Cite Format Result Cite Review PDF Full Text: DOI
Zhu, Jun-Ming; Luo, Qiu-Ming Partial-fraction decomposition of a rational function and its application. (English) Zbl 1535.30093 Adv. Contin. Discrete Models 2023, Paper No. 1, 22 p. (2023). MSC: 30E20 30C10 30C15 11B83 11B68 11B73 × Cite Format Result Cite Review PDF Full Text: DOI
Heller, Matthias; von Manteuffel, Andreas MultivariateApart: generalized partial fractions. (English) Zbl 1524.26024 Comput. Phys. Commun. 271, Article ID 108174, 17 p. (2022). MSC: 26C15 68W30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Driver, Kathy (ed.); Holtz, Olga (ed.); Sokal, Alan (ed.) The Laguerre-Pólya class and combinatorics. Abstracts from the workshop held March 13–19, 2022. (English) Zbl 1506.00066 Oberwolfach Rep. 19, No. 1, 657-681 (2022). MSC: 00B05 00B25 30-06 05-06 26Cxx 30Dxx 05Cxx 11Mxx 32Axx 37Fxx 11Y65 15A15 15B05 30B70 30H15 33C45 42C05 82B20 82C20 × Cite Format Result Cite Review PDF Full Text: DOI
Kar, Ishan A new method to compute the Hadamard product of two rational functions. (English) Zbl 1506.11039 Undergrad. Math J. 23, No. 1, Paper No. 3, 12 p. (2022). MSC: 11B83 11D88 13F25 26C15 × Cite Format Result Cite Review PDF Full Text: Link
Khan, Noureen A. Tangle number of virtual rational tangles. (English) Zbl 1501.57002 J. Knot Theory Ramifications 31, No. 10, Article ID 2250061, 14 p. (2022). Reviewer: Kenneth A. Perko Jr. (Scarsdale) MSC: 57K10 57K12 × Cite Format Result Cite Review PDF Full Text: DOI
Kiran, N. Uday An algebraic approach to \(q\)-partial fractions and Sylvester denumerants. (English) Zbl 1510.11147 Ramanujan J. 59, No. 3, 671-712 (2022). MSC: 11P81 11B68 11F20 05A17 05A15 26C15 42A38 42A20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
You, Minghui; Sun, Xia; Fan, Xiansheng On a more accurate half-discrete Hilbert-type inequality involving hyperbolic functions. (English) Zbl 1496.26041 Open Math. 20, 544-559 (2022). MSC: 26D15 41A17 33B10 × Cite Format Result Cite Review PDF Full Text: DOI
Pahirya, Mykhaylo M. Continued fraction representation of the generating function of Bernoulli polynomials. (English. Ukrainian original) Zbl 1493.30010 J. Math. Sci., New York 262, No. 2, 194-206 (2022); translation from Ukr. Mat. Visn. 19, No. 1, 88-102 (2022). MSC: 30B70 30C10 × Cite Format Result Cite Review PDF Full Text: DOI
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 1487.94094 Cryptogr. Commun. 14, No. 2, 433-457 (2022). MSC: 94A55 68Q19 68P30 94A60 × Cite Format Result Cite Review PDF Full Text: DOI
Che, Jun; Tian, Chengliang; Jiang, Yupeng; Xu, Guangwu Algorithms for the minimal rational fraction representation of sequences revisited. (English) Zbl 1489.94079 IEEE Trans. Inf. Theory 68, No. 2, 1316-1328 (2022). MSC: 94A55 68W30 × Cite Format Result Cite Review PDF Full Text: DOI
Zhu, Jun-Ming; Luo, Qiu-Ming A novel proof of two partial fraction decompositions. (English) Zbl 1494.05012 Adv. Difference Equ. 2021, Paper No. 274, 8 p. (2021). MSC: 05A19 33C20 05A10 33B15 42A15 × Cite Format Result Cite Review PDF Full Text: DOI
You, Minghui A unified extension of some classical Hilbert-type inequalities and applications. (English) Zbl 1498.26074 Rocky Mt. J. Math. 51, No. 5, 1865-1877 (2021). MSC: 26D15 41A17 47B38 × Cite Format Result Cite Review PDF Full Text: DOI Link
Zhao, Wei; Lu, Jian; Wang, Lin On the integral solutions of the Egyptian fraction equation \(\frac{a}{p} = \frac{1}{x}+\frac{1}{y}+\frac{1}{z}\). (English) Zbl 1484.11103 AIMS Math. 6, No. 5, 4930-4937 (2021). MSC: 11D68 11B73 11A07 × Cite Format Result Cite Review PDF Full Text: DOI
Baranetskij, Ya. O.; Demkiv, I. I.; Kopach, M. I.; Solomko, A. V. Interpolational \((L,M)\)-rational integral fraction on a continual set of nodes. (English) Zbl 1480.40003 Carpathian Math. Publ. 13, No. 3, 587-591 (2021). MSC: 40A15 41A05 41A10 × Cite Format Result Cite Review PDF Full Text: DOI
You, Minghui On a half-discrete Hilbert-type inequality related to hyperbolic functions. (English) Zbl 1504.26031 J. Inequal. Appl. 2021, Paper No. 153, 16 p. (2021). MSC: 26D07 11B68 × Cite Format Result Cite Review PDF Full Text: DOI
Kovačec, Alexander Schrödinger’s tridiagonal matrix. (English) Zbl 1484.15004 Spec. Matrices 9, 149-165 (2021). MSC: 15A15 15B99 47B36 81Q10 81P05 × Cite Format Result Cite Review PDF Full Text: DOI
You, Minghui; Sun, Xia On a Hilbert-type inequality with the kernel involving extended Hardy operator. (English) Zbl 1480.26022 J. Math. Inequal. 15, No. 3, 1239-1253 (2021). MSC: 26D15 × Cite Format Result Cite Review PDF Full Text: DOI
Eppstein, David Egyptian fractions with denominators from sequences closed under doubling. (English) Zbl 1482.11058 J. Integer Seq. 24, No. 8, Article 21.8.8, 6 p. (2021). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11D68 11A63 11B83 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Nazardonyavi, Sadegh On the equations \(\frac{m}{n} = \frac{1}{x} \pm \frac{1}{y} \pm \frac {1}{z}\). (English) Zbl 1502.11041 Rocky Mt. J. Math. 51, No. 2, 669-688 (2021). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11D68 11Y50 × Cite Format Result Cite Review PDF
Komarov, M. A. Rational approximations of Lipschitz functions from the Hardy class on the line. (English) Zbl 1472.41007 Probl. Anal. Issues Anal. 10(28), No. 2, 54-66 (2021). MSC: 41A20 41A25 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Borodin, Petr A.; Shklyaev, Konstantin S. Approximation by simple partial fractions in unbounded domains. (English. Russian original) Zbl 1475.30087 Sb. Math. 212, No. 4, 449-474 (2021); translation from Mat. Sb. 212, No. 4, 3-28 (2021). MSC: 30E10 41A20 × Cite Format Result Cite Review PDF Full Text: DOI
Keyes, Christopher; Reiter, Tomer Bounding the number of arithmetical structures on graphs. (English) Zbl 1468.05160 Discrete Math. 344, No. 9, Article ID 112494, 11 p. (2021). MSC: 05C50 05C30 11D68 11J70 14H25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
You, Minghui; Fan, Xiansheng Some results on a Hilbert-type inequality related to the cosecant function and applications. (Chinese. English summary) Zbl 1474.26154 J. Zhejiang Univ., Sci. Ed. 48, No. 2, 200-204 (2021). MSC: 26D15 × Cite Format Result Cite Review PDF Full Text: DOI
Tongron, Yanapat; Kanasri, Narakorn Rompurk; Laohakosol, Vichian The depth of continued fraction expansion for some classes of rational functions. (English) Zbl 1484.11010 Asian-Eur. J. Math. 14, No. 3, Article ID 2150033, 13 p. (2021). MSC: 11A55 11A05 × Cite Format Result Cite Review PDF Full Text: DOI
You, Minghui; Sun, Xia A Hilbert-type inequality defined on \({{\mathrm{R}}^2}\) with the kernel involving hyperbolic functions. (Chinese. English summary) Zbl 1474.26155 J. Zhejiang Univ., Sci. Ed. 47, No. 5, 554-558 (2020). MSC: 26D15 × Cite Format Result Cite Review PDF Full Text: DOI
Lu, Jian; Li, Mao; Qiu, Min On a problem of Lazar on unit fractions. (English) Zbl 1474.11102 J. Sichuan Univ., Nat. Sci. Ed. 57, No. 6, 1067-1072 (2020). MSC: 11D68 11D72 11A55 × Cite Format Result Cite Review PDF
Yao, Bowen A note on fraction decompositions of integers. (English) Zbl 1497.11087 Am. Math. Mon. 127, No. 10, 928-932 (2020). Reviewer: Mohammad K. Azarian (Evansville) MSC: 11D68 05A17 11P81 20M13 × Cite Format Result Cite Review PDF Full Text: DOI
Brezinski, Claude; Redivo-Zaglia, Michela Extrapolation and rational approximation. The works of the main contributors. (English) Zbl 1477.65006 Cham: Springer (ISBN 978-3-030-58417-7/hbk; 978-3-030-58420-7/pbk; 978-3-030-58418-4/ebook). viii, 406 p. (2020). Reviewer: Manfred Tasche (Rostock) MSC: 65-02 65-03 65B05 40A15 41A20 65F10 65H10 × Cite Format Result Cite Review PDF Full Text: DOI
Mundici, Daniele Complete and computable orbit invariants in the geometry of the affine group over the integers. (English) Zbl 1442.13016 Ann. Mat. Pura Appl. (4) 199, No. 5, 1843-1871 (2020). Reviewer: Nan Ji-Zhu (Dalian) MSC: 13A50 11D09 11E16 11H55 14G05 14H50 14L24 14M25 14R20 20H25 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Yubo; Yang, Zhichao; Li, Kangquan; Qu, Longjiang A new algorithm on the minimal rational fraction representation of feedback with carry shift registers. (English) Zbl 1448.94182 Des. Codes Cryptography 88, No. 3, 533-552 (2020). MSC: 94A55 94A60 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Chao-Ping; Wang, Qin Asymptotic expansions and continued fraction approximations for harmonic number. (English) Zbl 1513.40010 Appl. Anal. Discrete Math. 13, No. 2, 569-582 (2019). MSC: 40A15 41A20 × Cite Format Result Cite Review PDF Full Text: DOI
You, Minghui; He, Zhenhua On a Hilbert-type inequality defined on the whole plane with mixed kernel. (Chinese. English summary) Zbl 1449.26046 Math. Pract. Theory 49, No. 15, 239-245 (2019). MSC: 26D15 × Cite Format Result Cite Review PDF
Kogiso, Takeyoshi; Wakui, Michihisa A bridge between Conway-Coxeter friezes and rational tangles through the Kauffman bracket polynomials. (English) Zbl 1436.57009 J. Knot Theory Ramifications 28, No. 14, Article ID 1950083, 40 p. (2019). MSC: 57K10 11A55 13F60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
You, Minghui; Guan, Yue On a Hilbert-type integral inequality with non-homogeneous kernel of mixed hyperbolic functions. (English) Zbl 1435.26035 J. Math. Inequal. 13, No. 4, 1197-1208 (2019). MSC: 26D15 × Cite Format Result Cite Review PDF Full Text: DOI
Lishchynsky, I. I. The relationship between algebraic equations and \((n,m)\)-forms, their degrees and recurrent fractions. (English) Zbl 1420.11030 Carpathian Math. Publ. 11, No. 1, 96-106 (2019). MSC: 11B37 11D99 × Cite Format Result Cite Review PDF Full Text: DOI
Barnea, Tal The Riemann zeta function and the fractional part of rational powers. (English) Zbl 1437.11098 J. Integer Seq. 22, No. 3, Article 19.3.6, 11 p. (2019). MSC: 11J71 11A55 11M99 11Y65 11K31 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Wang, Hongzeng; Zhang, Qingling; Lu, Dawei A quicker approximation of the gamma function towards the Windschitl’s formula by continued fraction. (English) Zbl 1408.41007 Ramanujan J. 48, No. 1, 75-90 (2019). MSC: 41A20 33B15 41A60 × Cite Format Result Cite Review PDF Full Text: DOI
Rouba, Yauheni A.; Smatrytski, Kanstantin A.; Dirvuk, Yauheni V. On a Lebesgue constant of interpolation rational process at the Chebyshev-Markov nodes. (English) Zbl 1436.41005 Zh. Beloruss. Gos. Univ., Mat., Inform. 2018, No. 3, 12-20 (2018). MSC: 41A05 41A25 × Cite Format Result Cite Review PDF Full Text: Link
Ginosar, Yuval Tile the group. (English) Zbl 1440.05240 Elem. Math. 73, No. 2, 66-73 (2018). Reviewer: Štefan Porubský (Praha) MSC: 05E16 11B25 11D68 20F99 × Cite Format Result Cite Review PDF Full Text: DOI
Shimaru, N.; Takashima, K. On discrepancies of irrational rotations with several large partial quotients. (English) Zbl 1424.11110 Acta Math. Hung. 156, No. 2, 449-458 (2018). MSC: 11K38 11K31 11A55 × Cite Format Result Cite Review PDF Full Text: DOI
Daowsud, Katthaleeya; Schmidt, Thomas A. Continued fractions for rational torsion. (English) Zbl 1505.11156 J. Number Theory 189, 115-130 (2018); corrigendum ibid. 246, 326-327 (2023). MSC: 11Y65 11G30 14H40 14Q05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rouba, Y.; Patseika, P.; Smatrytski, K. On a system of rational Chebyshev-Markov fractions. (English) Zbl 1399.42083 Anal. Math. 44, No. 1, 115-140 (2018). Reviewer: Gustaf Gripenberg (Helsingfors) MSC: 42C10 41A25 × Cite Format Result Cite Review PDF Full Text: DOI
Machacek, John Egyptian fractions and prime power divisors. (English) Zbl 1390.11075 J. Integer Seq. 21, No. 3, Article 18.3.7, 14 p. (2018). MSC: 11D68 11A41 11A51 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Tan, Lin; Xu, Hong; Qi, Wen-Feng Preliminary results on the minimal polynomial of modified de Bruijn sequences. (English) Zbl 1423.94043 Finite Fields Appl. 50, 356-365 (2018). MSC: 94A55 94A60 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
Doi, K.; Shimaru, N.; Takashima, K. An upper estimate for the discrepancy of irrational rotations. (English) Zbl 1399.11129 Acta Math. Hung. 152, No. 1, 109-113 (2017). Reviewer: Yukio Ohkubo (Kagoshima) MSC: 11K38 11A55 11K31 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Chao-Ping The median of gamma distribution and a related Ramanujan sequence. (English) Zbl 1379.41011 Ramanujan J. 44, No. 1, 75-88 (2017). MSC: 41A20 60E05 × Cite Format Result Cite Review PDF Full Text: DOI
Qian, Jiang; Wang, Fan; Jiang, Nan; Wu, Yunbiao Numerical integration based on continued fractions and Newton-Padé approximation. (Chinese. English summary) Zbl 1399.65103 Math. Pract. Theory 47, No. 4, 194-208 (2017). MSC: 65D30 11A55 41A21 × Cite Format Result Cite Review PDF
Bugajewski, Dariusz; Nawrocki, Adam Some remarks on almost periodic functions in view of the Lebesgue measure with applications to linear differential equations. (English) Zbl 1372.42003 Ann. Acad. Sci. Fenn., Math. 42, No. 2, 809-836 (2017). MSC: 42A75 42A85 34A30 26A03 11A55 × Cite Format Result Cite Review PDF Full Text: DOI
Derevyagin, Maxim A note on Wall’s modification of the Schur algorithm and linear pencils of Jacobi matrices. (English) Zbl 1461.47005 J. Approx. Theory 221, 1-21 (2017). Reviewer: Adhemar Bultheel (Leuven) MSC: 47A57 30E05 30B70 42C05 47B36 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bogatyrev, Andrei B.; Goreinov, Sergei A.; Lyamaev, Sergei Yu. Efficient synthesis of optimal multiband filter. (English) Zbl 1369.93190 Russ. J. Numer. Anal. Math. Model. 32, No. 4, 217-223 (2017). MSC: 93B50 93E11 93C95 30E10 41A20 41A25 × Cite Format Result Cite Review PDF Full Text: DOI
Arce-Nazario, Rafael; Castro, Francis Noel; Figueroa, Raúl On the equation \(\displaystyle{\sum_{i=1}^n \frac{1}{x_i}=1} \) in distinct odd or even numbers. (English) Zbl 1365.11034 Contrib. Discrete Math. 11, No. 2, 63-78 (2017). MSC: 11D68 11Y50 × Cite Format Result Cite Review PDF Full Text: Link
Zadehgol, Ata A frequency-independent and parallel algorithm for computing the zeros of strictly proper rational transfer functions. (English) Zbl 1410.94126 Appl. Math. Comput. 274, 229-236 (2016). MSC: 94C05 × Cite Format Result Cite Review PDF Full Text: DOI
Azevedo, Assis; Azevedo, Davide Palindromic pairs in conics. (English) Zbl 1407.11013 Afr. Mat. 27, No. 7-8, 1329-1337 (2016). MSC: 11A55 14G05 × Cite Format Result Cite Review PDF Full Text: DOI
Dubinin, V. N. An extremal problem for the derivative of a rational function. (English. Russian original) Zbl 1366.30021 Math. Notes 100, No. 5, 714-719 (2016); translation from Mat. Zametki 100, No. 5, 732-738 (2016). MSC: 30C75 30A10 26D10 × Cite Format Result Cite Review PDF Full Text: DOI
Dubinin, V. N. The logarithmic energy of zeros and poles of a rational function. (English. Russian original) Zbl 1361.31003 Sib. Math. J. 57, No. 6, 981-986 (2016); translation from Sib. Mat. Zh. 57, No. 6, 1255-1261 (2016). MSC: 31A15 × Cite Format Result Cite Review PDF Full Text: DOI
Alpay, Daniel; Jorgensen, Palle; Lewkowicz, Izchak Characterizations of rectangular (para)-unitary rational functions. (English) Zbl 1376.26013 Opusc. Math. 36, No. 6, 695-716 (2016). MSC: 26C15 30D30 30D60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Citterio, Maurizio; Pavani, Raffaella A fast computation of the best \(k\)-digit rational approximation to a real number. (English) Zbl 1355.65038 Mediterr. J. Math. 13, No. 6, 4321-4331 (2016). Reviewer: Adhemar Bultheel (Leuven) MSC: 65D20 11A55 11B57 40A25 41A50 × Cite Format Result Cite Review PDF Full Text: DOI Link
Bergstra, J. A.; Middelburg, C. A. Transformation of fractions into simple fractions in divisive meadows. (English) Zbl 1401.68210 J. Appl. Log. 16, 92-110 (2016). MSC: 68Q65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bergstra, Jan A.; Ponse, Alban Fracpairs and fractions over a reduced commutative ring. (English) Zbl 1348.13012 Indag. Math., New Ser. 27, No. 3, 727-748 (2016). Reviewer: Mihai Prunescu (Bucharest) MSC: 13C05 68Q42 16S15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Druskin, Vladimir; Guüttel, Stefan; Knizhnerman, Leonid Near-optimal perfectly matched layers for indefinite Helmholtz problems. (English) Zbl 1344.35009 SIAM Rev. 58, No. 1, 90-116 (2016). Reviewer: Andreas Kleefeld (Jülich) MSC: 35J05 65N06 65N55 30E10 65D25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Boulier, François; Lemaire, François; Lallemand, Joseph; Regensburger, Georg; Rosenkranz, Markus Additive normal forms and integration of differential fractions. (English) Zbl 1338.65062 J. Symb. Comput. 77, 16-38 (2016). MSC: 65D30 41A20 12H05 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Cao, Xiaodong Some new inequalities for the gamma function. (English) Zbl 1334.33002 J. Comput. Anal. Appl. 20, No. 7, 1359-1369 (2016). MSC: 33B15 41A20 41A25 × Cite Format Result Cite Review PDF Full Text: arXiv
Collins, George E. Continued fraction real root isolation using the Hong root bound. (English) Zbl 1329.65094 J. Symb. Comput. 72, 21-54 (2016). MSC: 65H04 11A55 11Y65 12D10 26C10 30C15 65Y20 68W30 × Cite Format Result Cite Review PDF Full Text: DOI
Shmoĭlov, V. I.; Khisamutdinov, M. V.; Kirichenko, G. A. Solving algebraic equations by the method of Rutishauser-Nikiporets. (Russian) Zbl 1349.26033 Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform. 15, No. 1, 63-79 (2015). MSC: 26C10 30C15 40A05 × Cite Format Result Cite Review PDF Full Text: MNR
You, Xu; Chen, Di-Rong Some sharp continued fraction inequalities for the Euler-Mascheroni constant. (English) Zbl 1391.11168 J. Inequal. Appl. 2015, Paper No. 308, 9 p. (2015). MSC: 11Y60 41A25 41A20 × Cite Format Result Cite Review PDF Full Text: DOI
Norton, Graham H. On sequences, rational functions and decomposition. (English) Zbl 1400.11160 Appl. Algebra Eng. Commun. Comput. 26, No. 5, 427-463 (2015). MSC: 11T71 94B25 13F99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Watase, Yasushige Introduction to Diophantine approximation. (English) Zbl 1318.11089 Formaliz. Math. 23, No. 2, 101-106 (2015). MSC: 11J68 11A55 03B35 × Cite Format Result Cite Review PDF Full Text: DOI
Toro, Margarita Equivalence of rational links and 2-bridge links revisited. (English) Zbl 1316.57010 J. Knot Theory Ramifications 24, No. 3, Article ID 1550015, 17 p. (2015). MSC: 57M25 57M27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shmoĭlov, V. I.; Redin, N. A.; Nikulin, N. A. Continued fractions in numerical mathematics. (Непрерывные дроби в вычислительной математике.) (Russian) Zbl 1320.65001 Rostov-on-Don: Izd. Yuzhnogo Federal’nogo Universiteta. 227 p. (2015). Reviewer: Michael M. Pahirya (Mukachevo) MSC: 65-01 65B10 41-01 65D05 65D20 65H10 41A05 41A20 11A55 11Y65 30B70 40A15 × Cite Format Result Cite Review PDF