Arreche, Carlos E.; Sitaula, Hari P. Computing discrete residues of rational functions. arXiv:2402.07328 Preprint, arXiv:2402.07328 [cs.SC] (2024). MSC: 39A06 33F10 68W30 40C15 11Y50 BibTeX Cite \textit{C. E. Arreche} and \textit{H. P. Sitaula}, ``Computing discrete residues of rational functions'', Preprint, arXiv:2402.07328 [cs.SC] (2024) Full Text: arXiv OA License
Bagdasaryan, Armen G. Solving third-order linear recurrence relations with applications to number theory and combinatorics. (English) Zbl 07820153 Elaydi, Saber (ed.) et al., Advances in discrete dynamical systems, difference equations and applications. ICDEA 26, Sarajevo, Bosnia and Herzegovina, July 26–30, 2021. Proceedings of the 26th international conference on difference equations and applications. Cham: Springer. Springer Proc. Math. Stat. 416, 97-121 (2023). MSC: 11B37 39A06 11B83 39A05 39A10 11B39 11C20 PDFBibTeX XMLCite \textit{A. G. Bagdasaryan}, Springer Proc. Math. Stat. 416, 97--121 (2023; Zbl 07820153) Full Text: DOI
Kang, Jung Yoog Various types of \((p, q)\)-differential equations related with special polynomials. (English) Zbl 07783791 J. Appl. Math. Inform. 41, No. 2, 439-448 (2023). MSC: 05A19 05A30 11B83 34A30 65L99 PDFBibTeX XMLCite \textit{J. Y. Kang}, J. Appl. Math. Inform. 41, No. 2, 439--448 (2023; Zbl 07783791) Full Text: DOI
Ben Taher, R.; Lassri, M.; Rachidi, M. New method for solving non-homogeneous periodic second-order difference equation and some applications. (English) Zbl 07773297 Arab. J. Math. 12, No. 3, 647-665 (2023). MSC: 39A06 11B39 11B37 PDFBibTeX XMLCite \textit{R. Ben Taher} et al., Arab. J. Math. 12, No. 3, 647--665 (2023; Zbl 07773297) Full Text: DOI OA License
Heim, Bernhard; Neuhauser, Markus; Tröger, Robert Zeros transfer for recursively defined polynomials. (English) Zbl 07771757 Res. Number Theory 9, No. 4, Paper No. 79, 14 p. (2023). MSC: 11F30 11F20 39A06 11F20 11B83 26C10 PDFBibTeX XMLCite \textit{B. Heim} et al., Res. Number Theory 9, No. 4, Paper No. 79, 14 p. (2023; Zbl 07771757) Full Text: DOI arXiv OA License
Gharakhloo, Roozbeh; Witte, Nicholas S. Modulated bi-orthogonal polynomials on the unit circle: the \(2j-k\) and \(j-2k\) systems. (English) Zbl 1525.33007 Constr. Approx. 58, No. 1, 1-74 (2023). Reviewer: Marcel G. de Bruin (Heemstede) MSC: 33C45 11C08 11M50 39A06 42C05 47B35 PDFBibTeX XMLCite \textit{R. Gharakhloo} and \textit{N. S. Witte}, Constr. Approx. 58, No. 1, 1--74 (2023; Zbl 1525.33007) Full Text: DOI arXiv
Kang, J. Y. Several properties of differential equation with \((p, q)\)-Genocchi polynomials. (English) Zbl 1517.05026 J. Anal. Appl. 21, No. 1, 25-36 (2023). MSC: 05A19 11B83 34A30 05A10 PDFBibTeX XMLCite \textit{J. Y. Kang}, J. Anal. Appl. 21, No. 1, 25--36 (2023; Zbl 1517.05026) Full Text: Link
Kovačec, Alexander; de Tovar Sá, Pedro Barata Representing the Stirling polynomials \(\sigma_n(x)\) in dependence of \(n\) and an application to polynomial zero identities. (English) Zbl 1517.05027 Spec. Matrices 11, Article ID 2022-0184, 16 p. (2023). MSC: 05A19 11B37 11B73 39A06 PDFBibTeX XMLCite \textit{A. Kovačec} and \textit{P. B. de Tovar Sá}, Spec. Matrices 11, Article ID 2022--0184, 16 p. (2023; Zbl 1517.05027) Full Text: DOI
Adamczewski, Boris; Bell, Jason; Smertnig, Daniel A height gap theorem for coefficients of Mahler functions. (English) Zbl 07714619 J. Eur. Math. Soc. (JEMS) 25, No. 7, 2525-2571 (2023). Reviewer: Tanguy Rivoal (Grenoble) MSC: 11J81 39A06 11B85 11G50 PDFBibTeX XMLCite \textit{B. Adamczewski} et al., J. Eur. Math. Soc. (JEMS) 25, No. 7, 2525--2571 (2023; Zbl 07714619) Full Text: DOI arXiv
Dougherty-Bliss, Robert; Zeilberger, Doron Exploring general Apéry limits via the Zudilin-Straub \(t\)-transform. (English) Zbl 1518.11014 J. Difference Equ. Appl. 29, No. 1, 32-42 (2023). Reviewer: Christoph Koutschan (Linz) MSC: 11B37 11B65 05A10 39A06 PDFBibTeX XMLCite \textit{R. Dougherty-Bliss} and \textit{D. Zeilberger}, J. Difference Equ. Appl. 29, No. 1, 32--42 (2023; Zbl 1518.11014) Full Text: DOI arXiv
Maier, Robert S. Triangular recurrences, generalized Eulerian numbers, and related number triangles. (English) Zbl 1509.05015 Adv. Appl. Math. 146, Article ID 102485, 62 p. (2023). MSC: 05A10 05A15 39A06 39A14 11B68 PDFBibTeX XMLCite \textit{R. S. Maier}, Adv. Appl. Math. 146, Article ID 102485, 62 p. (2023; Zbl 1509.05015) Full Text: DOI arXiv
Laohakosol, Vichian; Meesa, Rattiya; Sutthimat, Phiraphat Closed-form solutions of general second order linear recurrences and applications. (English) Zbl 1501.39001 Discrete Math. 346, No. 1, Article ID 113206, 11 p. (2023). MSC: 39A06 11A55 PDFBibTeX XMLCite \textit{V. Laohakosol} et al., Discrete Math. 346, No. 1, Article ID 113206, 11 p. (2023; Zbl 1501.39001) Full Text: DOI
Yadeta, Hailu Bikila Direct sum Decomposition of Spaces of Periodic Functions: \[ \mathbb{P}_n = \bigoplus \limits_{d|n} \ker(\Phi_d(E\]. arXiv:2304.02517 Preprint, arXiv:2304.02517 [math.NT] (2023). MSC: 11R60 11C20 39A06 39A23 BibTeX Cite \textit{H. B. Yadeta}, ``Direct sum Decomposition of Spaces of Periodic Functions: $$ \mathbb{P}_n = \bigoplus \limits_{d|n} \ker(\Phi_d(E))'', Preprint, arXiv:2304.02517 [math.NT] (2023) Full Text: arXiv OA License
Stević, Stevo On integer parts of the reciprocal remainders of some sums. (English) Zbl 1509.41016 J. Inequal. Appl. 2022, Paper No. 139, 17 p. (2022). MSC: 41A80 11M06 PDFBibTeX XMLCite \textit{S. Stević}, J. Inequal. Appl. 2022, Paper No. 139, 17 p. (2022; Zbl 1509.41016) Full Text: DOI
Berend, Daniel; Kumar, Rishi Consecutive ratios in second-order linear recurrence sequences. (English) Zbl 1517.11007 Unif. Distrib. Theory 17, No. 2, 51-76 (2022). Reviewer: Raghib Abu-Saris (Edmonton) MSC: 11B37 39A06 PDFBibTeX XMLCite \textit{D. Berend} and \textit{R. Kumar}, Unif. Distrib. Theory 17, No. 2, 51--76 (2022; Zbl 1517.11007) Full Text: DOI
Koutschan, Christoph; Zudilin, Wadim Apéry limits for elliptic \(L\)-values. (English) Zbl 1503.11082 Bull. Aust. Math. Soc. 106, No. 2, 273-279 (2022). Reviewer: Noriko Yui (Kingston) MSC: 11F67 11G05 11G40 11J70 11R06 14K20 33F10 39A06 PDFBibTeX XMLCite \textit{C. Koutschan} and \textit{W. Zudilin}, Bull. Aust. Math. Soc. 106, No. 2, 273--279 (2022; Zbl 1503.11082) Full Text: DOI arXiv
Faverjon, Colin; Poulet, Marina An algorithm to recognize regular singular Mahler systems. (English) Zbl 1505.65310 Math. Comput. 91, No. 338, 2905-2928 (2022). MSC: 65Q10 39A06 68W30 11B85 PDFBibTeX XMLCite \textit{C. Faverjon} and \textit{M. Poulet}, Math. Comput. 91, No. 338, 2905--2928 (2022; Zbl 1505.65310) Full Text: DOI arXiv
He, Weikun; De Saxcé, Nicolas Linear random walks on the torus. (English) Zbl 1518.37005 Duke Math. J. 171, No. 5, 1061-1133 (2022). Reviewer: Michael L. Blank (Moskva) MSC: 37A17 37A46 37A30 37B05 37H10 11B75 11L07 20G30 20P05 PDFBibTeX XMLCite \textit{W. He} and \textit{N. De Saxcé}, Duke Math. J. 171, No. 5, 1061--1133 (2022; Zbl 1518.37005) Full Text: DOI arXiv
Delaygue, É. A Lindemann-Weierstrass theorem for \(E\)-functions. arXiv:2210.12046 Preprint, arXiv:2210.12046 [math.NT] (2022). MSC: 11J72 11J81 34M05 33E30 34M35 BibTeX Cite \textit{É. Delaygue}, ``A Lindemann-Weierstrass theorem for $E$-functions'', Preprint, arXiv:2210.12046 [math.NT] (2022) Full Text: arXiv OA License
Atakishiyev, Natig The eigenvalues and eigenvectors of the 5D discrete Fourier transform number operator revisited. arXiv:2210.01990 Preprint, arXiv:2210.01990 [math-ph] (2022). MSC: 11C20 39A70 39B42 47A75 BibTeX Cite \textit{N. Atakishiyev}, ``The eigenvalues and eigenvectors of the 5D discrete Fourier transform number operator revisited'', Preprint, arXiv:2210.01990 [math-ph] (2022) Full Text: arXiv OA License
Kim, Daeyeoul; Yildiz Ikikardes, Nazli Relations of combinatoric convolution sums for restricted divisor functions and Bernoulli polynomials. (English) Zbl 1499.11017 Miskolc Math. Notes 22, No. 2, 731-748 (2021). MSC: 11A25 33E30 11B68 PDFBibTeX XMLCite \textit{D. Kim} and \textit{N. Yildiz Ikikardes}, Miskolc Math. Notes 22, No. 2, 731--748 (2021; Zbl 1499.11017) Full Text: DOI
Lyapin, Aleksandr Petrovich; Akhtamova, Svetlana Stanislavovna Recurrence relations for the sections of the generating series of the solution to the multidimensional difference equation. (Russian. English summary) Zbl 1489.39001 Vestn. Udmurt. Univ., Mat. Mekh. Komp’yut. Nauki 31, No. 3, 414-423 (2021). MSC: 39A06 11B37 11B39 11B73 PDFBibTeX XMLCite \textit{A. P. Lyapin} and \textit{S. S. Akhtamova}, Vestn. Udmurt. Univ., Mat. Mekh. Komp'yut. Nauki 31, No. 3, 414--423 (2021; Zbl 1489.39001) Full Text: DOI MNR
Ustinov, A. V. On Somos-4 and Somos-5 sequences. (English. Russian original) Zbl 1484.11045 Math. Notes 110, No. 3, 470-472 (2021); translation from Mat. Zametki 110, No. 3, 478-480 (2021). Reviewer: Thomas B. Ward (Newcastle) MSC: 11B37 39A06 PDFBibTeX XMLCite \textit{A. V. Ustinov}, Math. Notes 110, No. 3, 470--472 (2021; Zbl 1484.11045); translation from Mat. Zametki 110, No. 3, 478--480 (2021) Full Text: DOI
Abramov, S. A.; Barkatou, M. A.; Petkovšek, M. Linear difference operators with coefficients in the form of infinite sequences. (English. Russian original) Zbl 07426758 Comput. Math. Math. Phys. 61, No. 10, 1582-1589 (2021); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 10, 1610-1617 (2021). MSC: 47-XX 11-XX PDFBibTeX XMLCite \textit{S. A. Abramov} et al., Comput. Math. Math. Phys. 61, No. 10, 1582--1589 (2021; Zbl 07426758); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 10, 1610--1617 (2021) Full Text: DOI
Oliveira, Elismar R.; Trevisan, Vilmar Applications of rational difference equations to spectral graph theory. (English) Zbl 1477.05109 J. Difference Equ. Appl. 27, No. 7, 1024-1051 (2021). MSC: 05C50 05C63 05C85 05C05 11B37 65Q30 39A23 PDFBibTeX XMLCite \textit{E. R. Oliveira} and \textit{V. Trevisan}, J. Difference Equ. Appl. 27, No. 7, 1024--1051 (2021; Zbl 1477.05109) Full Text: DOI arXiv
Hardouin, Charlotte; Singer, Michael F. On differentially algebraic generating series for walks in the quarter plane. (English) Zbl 1476.05013 Sel. Math., New Ser. 27, No. 5, Paper No. 89, 49 p. (2021). MSC: 05A15 60G50 11G05 30D05 39A06 PDFBibTeX XMLCite \textit{C. Hardouin} and \textit{M. F. Singer}, Sel. Math., New Ser. 27, No. 5, Paper No. 89, 49 p. (2021; Zbl 1476.05013) Full Text: DOI arXiv
Marcovecchio, Raffaele Vectors of type II Hermite-Padé approximations and a new linear independence criterion. (English) Zbl 1476.11100 Ann. Mat. Pura Appl. (4) 200, No. 6, 2829-2861 (2021). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J72 11B83 11C20 33C45 39A60 41A28 42C05 PDFBibTeX XMLCite \textit{R. Marcovecchio}, Ann. Mat. Pura Appl. (4) 200, No. 6, 2829--2861 (2021; Zbl 1476.11100) Full Text: DOI arXiv
Hamidoğlu, Ali; Taghiyev, Mustafa H. On construction of almost periodic sequences and applications to some discrete population models. (English) Zbl 1467.92154 J. Difference Equ. Appl. 27, No. 1, 118-131 (2021). Reviewer: Wan-Tong Li (Lanzhou) MSC: 92D25 11J72 39A24 PDFBibTeX XMLCite \textit{A. Hamidoğlu} and \textit{M. H. Taghiyev}, J. Difference Equ. Appl. 27, No. 1, 118--131 (2021; Zbl 1467.92154) Full Text: DOI
Zudilin, Wadim Apéry limits and Mahler measures. arXiv:2109.12972 Preprint, arXiv:2109.12972 [math.NT] (2021). MSC: 11M06 11R06 11Y60 33F10 39A06 BibTeX Cite \textit{W. Zudilin}, ``Ap\'ery limits and Mahler measures'', Preprint, arXiv:2109.12972 [math.NT] (2021) Full Text: arXiv OA License
Kadyrov, Shirali; Orynbassar, Alibek On the solutions of second order difference equations with variable coefficients. arXiv:2103.03554 Preprint, arXiv:2103.03554 [math.NT] (2021). MSC: 39A06 11J70 BibTeX Cite \textit{S. Kadyrov} and \textit{A. Orynbassar}, ``On the solutions of second order difference equations with variable coefficients'', Preprint, arXiv:2103.03554 [math.NT] (2021) Full Text: arXiv OA License
Ghiu, Cristian; Tuligă, Raluca; Udrişte, Constantin Linear discrete multitime multiple recurrence. (English) Zbl 1513.39002 Sci. Bull., Ser. A, Appl. Math. Phys., Politeh. Univ. Buchar. 82, No. 4, 29-40 (2020). MSC: 39A06 11B37 PDFBibTeX XMLCite \textit{C. Ghiu} et al., Sci. Bull., Ser. A, Appl. Math. Phys., Politeh. Univ. Buchar. 82, No. 4, 29--40 (2020; Zbl 1513.39002) Full Text: arXiv
Stević, Stevo; Iričanin, Bratislav; Kosmala, Witold; Šmarda, Zdeněk Note on some representations of general solutions to homogeneous linear difference equations. (English) Zbl 1486.39002 Adv. Difference Equ. 2020, Paper No. 486, 12 p. (2020). MSC: 39A06 39A05 11B39 PDFBibTeX XMLCite \textit{S. Stević} et al., Adv. Difference Equ. 2020, Paper No. 486, 12 p. (2020; Zbl 1486.39002) Full Text: DOI
Adamczewski, Boris; Dreyfus, Thomas; Hardouin, Charlotte; Wibmer, Michael Algebraic independence and linear difference equations. arXiv:2010.09266 Preprint, arXiv:2010.09266 [math.NT] (2020). MSC: 12H10 39A06 39A10 39A13 39A45 11J81 BibTeX Cite \textit{B. Adamczewski} et al., ``Algebraic independence and linear difference equations'', Preprint, arXiv:2010.09266 [math.NT] (2020) Full Text: arXiv OA License
Parodi, Bernhard R. A generalized Fibonacci spiral. arXiv:2004.08902 Preprint, arXiv:2004.08902 [math.HO] (2020). MSC: 11B37 11B39 14H50 39A06 65Q30 BibTeX Cite \textit{B. R. Parodi}, ``A generalized Fibonacci spiral'', Preprint, arXiv:2004.08902 [math.HO] (2020) Full Text: arXiv OA License
Taher, R. Ben; Benkhaldoun, H. Solving the linear difference equation with periodic coefficients via Fibonacci sequences. (English) Zbl 1423.39003 Linear Multilinear Algebra 67, No. 12, 2549-2564 (2019). MSC: 39A06 11B39 11B83 PDFBibTeX XMLCite \textit{R. B. Taher} and \textit{H. Benkhaldoun}, Linear Multilinear Algebra 67, No. 12, 2549--2564 (2019; Zbl 1423.39003) Full Text: DOI
Encinas, A. M.; Jiménez, M. J. Triangular sequences, combinatorial recurrences and linear difference equations. (English) Zbl 1416.05040 Linear Algebra Appl. 576, 301-323 (2019). MSC: 05A19 05A10 11B37 11B65 11B73 39A06 PDFBibTeX XMLCite \textit{A. M. Encinas} and \textit{M. J. Jiménez}, Linear Algebra Appl. 576, 301--323 (2019; Zbl 1416.05040) Full Text: DOI Link
Muller, Greg Linear recurrences indexed by \(\mathbb{Z}\). arXiv:1906.04311 Preprint, arXiv:1906.04311 [math.CO] (2019). MSC: 39Axx 11B37 15A06 15A15 BibTeX Cite \textit{G. Muller}, ``Linear recurrences indexed by $\mathbb{Z}$'', Preprint, arXiv:1906.04311 [math.CO] (2019) Full Text: arXiv OA License
Mahmudov, Elimhan N. Observability and Controllability of Second Order Linear Time Invariant Systems and Kalman Type Conditions. arXiv:1906.06741 Preprint, arXiv:1906.06741 [math.OC] (2019). MSC: 11D04 39A70 93B05 93B07 BibTeX Cite \textit{E. N. Mahmudov}, ``Observability and Controllability of Second Order Linear Time Invariant Systems and Kalman Type Conditions'', Preprint, arXiv:1906.06741 [math.OC] (2019) Full Text: arXiv OA License
Graça, Mário M. Interpolation solutions of linear difference equations. (Portuguese. English summary) Zbl 1453.39001 Bol. Soc. Port. Mat. 76, 41-56 (2018). MSC: 39A06 11B39 11B83 PDFBibTeX XMLCite \textit{M. M. Graça}, Bol. Soc. Port. Mat. 76, 41--56 (2018; Zbl 1453.39001)
Middeke, Johannes; Schneider, Carsten Towards a direct method for finding hypergeometric solutions of linear first order recurrence systems. (English) Zbl 1439.39002 ACM Commun. Comput. Algebra 52, No. 3, 89-91 (2018). MSC: 39A06 15A15 33C05 11B37 PDFBibTeX XMLCite \textit{J. Middeke} and \textit{C. Schneider}, ACM Commun. Comput. Algebra 52, No. 3, 89--91 (2018; Zbl 1439.39002) Full Text: DOI
Xavier, G. Britto Antony; Mohan, B. Fibonacci series with several parameters. (English) Zbl 1415.39017 Pinelas, Sandra (ed.) et al., Differential and difference equations with applications. ICDDEA, Amadora, Portugal, June 5–9, 2017. Cham: Springer. Springer Proc. Math. Stat. 230, 617-626 (2018). Reviewer: Florian Luca (Johannesburg) MSC: 39A70 39A10 47B39 65J10 65Q10 11B39 PDFBibTeX XMLCite \textit{G. B. A. Xavier} and \textit{B. Mohan}, Springer Proc. Math. Stat. 230, 617--626 (2018; Zbl 1415.39017) Full Text: DOI
Simsek, Yilmaz Construction method for generating functions of special numbers and polynomials arising from analysis of new operators. (English) Zbl 06986336 Math. Methods Appl. Sci. 41, No. 16, 6934-6954 (2018). MSC: 47B39 42B05 05A15 05A10 11B68 05A19 12D10 26C05 47B33 47B39 54C30 65Qxx PDFBibTeX XMLCite \textit{Y. Simsek}, Math. Methods Appl. Sci. 41, No. 16, 6934--6954 (2018; Zbl 06986336) Full Text: DOI
Trojovský, Pavel On a difference equation of the second order with an exponential coefficient. (English) Zbl 1386.39005 J. Difference Equ. Appl. 23, No. 10, 1737-1746 (2017). MSC: 39A06 11B37 11B39 15A15 PDFBibTeX XMLCite \textit{P. Trojovský}, J. Difference Equ. Appl. 23, No. 10, 1737--1746 (2017; Zbl 1386.39005) Full Text: DOI
Evans, Ron; Van Veen, Mark Nonexistence of twenty-fourth power residue addition sets. (English) Zbl 1366.05017 Finite Fields Appl. 46, 139-146 (2017). MSC: 05B10 11T22 11T24 15A06 PDFBibTeX XMLCite \textit{R. Evans} and \textit{M. Van Veen}, Finite Fields Appl. 46, 139--146 (2017; Zbl 1366.05017) Full Text: DOI arXiv
Bell, Jason P.; Coons, Michael Transcendence tests for Mahler functions. (English) Zbl 1365.11092 Proc. Am. Math. Soc. 145, No. 3, 1061-1070 (2017). Reviewer: Robert F. Tichy (Graz) MSC: 11J91 39A06 PDFBibTeX XMLCite \textit{J. P. Bell} and \textit{M. Coons}, Proc. Am. Math. Soc. 145, No. 3, 1061--1070 (2017; Zbl 1365.11092) Full Text: DOI arXiv
Ben Taher, R.; Benkhaldoun, H.; Rachidi, M. On some class of periodic-discrete homogeneous difference equations via Fibonacci sequences. (English) Zbl 1380.39018 J. Difference Equ. Appl. 22, No. 9, 1292-1306 (2016). MSC: 39A23 11B39 PDFBibTeX XMLCite \textit{R. Ben Taher} et al., J. Difference Equ. Appl. 22, No. 9, 1292--1306 (2016; Zbl 1380.39018) Full Text: DOI
Fischler, Stéphane; Rivoal, Tanguy Arithmetic theory of \(E\)-operators. (Théorie arithmétique des \(E\)-opérateurs.) (English. French summary) Zbl 1370.11090 J. Éc. Polytech., Math. 3, 31-65 (2016). Reviewer: Michel Waldschmidt (Paris) MSC: 11J91 33E30 34M40 44A10 PDFBibTeX XMLCite \textit{S. Fischler} and \textit{T. Rivoal}, J. Éc. Polytech., Math. 3, 31--65 (2016; Zbl 1370.11090) Full Text: DOI arXiv
Rabago, Julius Fergy Tiongson On second-order linear recurrent functions with period \(k\) and proofs to two conjectures of Sroysang. (English) Zbl 1354.39001 Hacet. J. Math. Stat. 45, No. 2, 429-446 (2016). Reviewer: Hussain A. El-Saify (Beni Suef) MSC: 39A06 11B37 11B39 39A23 PDFBibTeX XMLCite \textit{J. F. T. Rabago}, Hacet. J. Math. Stat. 45, No. 2, 429--446 (2016; Zbl 1354.39001) Full Text: DOI
Hardouin, Charlotte Galoisian approach to differential transcendence. (English) Zbl 1347.39001 Hardouin, Charlotte et al., Galois theories of linear difference equations: an introduction. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2655-2/hbk; 978-1-4704-2940-9/ebook). Mathematical Surveys and Monographs 211, 43-102 (2016). MSC: 39A06 12H05 11R32 PDFBibTeX XMLCite \textit{C. Hardouin}, Math. Surv. Monogr. 211, 43--102 (2016; Zbl 1347.39001)
Singer, Michael F. Algebraic and algorithmic aspects of linear difference equations. (English) Zbl 1347.39002 Hardouin, Charlotte et al., Galois theories of linear difference equations: an introduction. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2655-2/hbk; 978-1-4704-2940-9/ebook). Mathematical Surveys and Monographs 211, 1-41 (2016). MSC: 39A06 12H10 11R32 PDFBibTeX XMLCite \textit{M. F. Singer}, Math. Surv. Monogr. 211, 1--41 (2016; Zbl 1347.39002)
Zhao, Chun-Ru; Long, Wen-Gao; Zhao, Yu-Qiu Proof of a conjecture of Granath on optimal bounds of the Landau constants. (English) Zbl 1382.30046 J. Approx. Theory 204, 17-33 (2016). MSC: 30C50 11B83 30C55 33C05 39A60 41A17 41A60 PDFBibTeX XMLCite \textit{C.-R. Zhao} et al., J. Approx. Theory 204, 17--33 (2016; Zbl 1382.30046) Full Text: DOI arXiv
van Hoeij, Mark; Vidūnas, Raimundas Belyi functions for hyperbolic hypergeometric-to-Heun transformations. (English) Zbl 1332.33036 J. Algebra 441, 609-659 (2015). Reviewer: József Sándor (Cluj-Napoca) MSC: 33E30 11G32 14H57 34M03 33C05 57M12 14-04 PDFBibTeX XMLCite \textit{M. van Hoeij} and \textit{R. Vidūnas}, J. Algebra 441, 609--659 (2015; Zbl 1332.33036) Full Text: DOI arXiv
Veselov, A. P.; Willox, R. Burchnall-Chaundy polynomials and the Laurent phenomenon. (English) Zbl 1394.11011 J. Phys. A, Math. Theor. 48, No. 20, Article ID 205201, 15 p. (2015). MSC: 11B37 11B83 39A06 37K10 PDFBibTeX XMLCite \textit{A. P. Veselov} and \textit{R. Willox}, J. Phys. A, Math. Theor. 48, No. 20, Article ID 205201, 15 p. (2015; Zbl 1394.11011) Full Text: DOI arXiv
Wibmer, Michael Skolem-Mahler-Lech type theorems and Picard-Vessiot theory. (English) Zbl 1316.39001 J. Eur. Math. Soc. (JEMS) 17, No. 3, 523-533 (2015). MSC: 39A06 12H10 11B37 11B25 PDFBibTeX XMLCite \textit{M. Wibmer}, J. Eur. Math. Soc. (JEMS) 17, No. 3, 523--533 (2015; Zbl 1316.39001) Full Text: DOI arXiv
Hata, Masayoshi Neurons. A mathematical ignition. (English) Zbl 1311.39008 Series on Number Theory and Its Applications 9. Hackensack, NJ: World Scientific (ISBN 978-981-4618-61-8/hbk; 978-981-4618-63-2/ebook). xiii, 216 p. (2015). Reviewer: Carlo Laing (Auckland) MSC: 39A12 92B20 92C20 11B57 39-02 37E05 PDFBibTeX XMLCite \textit{M. Hata}, Neurons. A mathematical ignition. Hackensack, NJ: World Scientific (2015; Zbl 1311.39008) Full Text: DOI
Luís, Rafael; Oliveira, Henrique M. Products of \(2\times 2\) matrices related to non autonomous Fibonacci difference equations. (English) Zbl 1354.11012 Appl. Math. Comput. 226, 101-116 (2014). MSC: 11B37 11B39 15B36 39A10 PDFBibTeX XMLCite \textit{R. Luís} and \textit{H. M. Oliveira}, Appl. Math. Comput. 226, 101--116 (2014; Zbl 1354.11012) Full Text: DOI arXiv
Teschl, G. Book review of: H. Dym, Linear algebra in action. (English) Zbl 1335.00100 Int. Math. Nachr., Wien 226, 57 (2014). MSC: 00A17 15-01 39-01 34-01 93-01 11-01 52-01 PDFBibTeX XMLCite \textit{G. Teschl}, Int. Math. Nachr., Wien 226, 57 (2014; Zbl 1335.00100) Full Text: Link
Stević, Stevo Representation of solutions of bilinear difference equations in terms of generalized Fibonacci sequences. (English) Zbl 1324.39004 Electron. J. Qual. Theory Differ. Equ. 2014, Paper No. 67, 15 p. (2014). MSC: 39A10 39A20 11B39 39A06 PDFBibTeX XMLCite \textit{S. Stević}, Electron. J. Qual. Theory Differ. Equ. 2014, Paper No. 67, 15 p. (2014; Zbl 1324.39004) Full Text: Link
Fischler, Stéphane; Rivoal, Tanguy On the values of \(G\)-functions. (English) Zbl 1304.11070 Comment. Math. Helv. 89, No. 2, 313-341 (2014). Reviewer: Michel Waldschmidt (Paris) MSC: 11J91 33E30 34M35 34M40 PDFBibTeX XMLCite \textit{S. Fischler} and \textit{T. Rivoal}, Comment. Math. Helv. 89, No. 2, 313--341 (2014; Zbl 1304.11070) Full Text: DOI arXiv
Gómez Ruiz, Carlos Alexis; Luca, Florian The zero-multiplicity of third-order linear recurrences associated to the Tribonacci sequence. (English) Zbl 1297.39002 Indag. Math., New Ser. 25, No. 3, 579-587 (2014). MSC: 39A06 11B39 PDFBibTeX XMLCite \textit{C. A. Gómez Ruiz} and \textit{F. Luca}, Indag. Math., New Ser. 25, No. 3, 579--587 (2014; Zbl 1297.39002) Full Text: DOI
Dym, Harry Linear algebra in action. 2nd revised ed. (English) Zbl 1285.15001 Graduate Studies in Mathematics 78. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-0908-1/hbk). xix, 585 p. (2013). Reviewer: Alexander G. Ramm (Manhattan, KS) MSC: 15-01 39-01 34-01 93-01 11-01 52-01 PDFBibTeX XMLCite \textit{H. Dym}, Linear algebra in action. 2nd revised ed. Providence, RI: American Mathematical Society (AMS) (2013; Zbl 1285.15001)
Azarian, Mohammad K. Euler’s number via difference equations. (English) Zbl 1251.39011 Int. J. Contemp. Math. Sci. 7, No. 21-24, 1095-1102 (2012). MSC: 39A60 40A25 11B39 11B68 PDFBibTeX XMLCite \textit{M. K. Azarian}, Int. J. Contemp. Math. Sci. 7, No. 21--24, 1095--1102 (2012; Zbl 1251.39011) Full Text: Link
Alves, João Ferreira; Silva, Luís Periodic paths on nonautonomous graphs. (English) Zbl 1242.05137 Linear Algebra Appl. 437, No. 3, 1003-1015 (2012). MSC: 05C38 05C50 37B55 11M06 PDFBibTeX XMLCite \textit{J. F. Alves} and \textit{L. Silva}, Linear Algebra Appl. 437, No. 3, 1003--1015 (2012; Zbl 1242.05137) Full Text: DOI
Ernst, Thomas A comprehensive treatment of \(q\)-calculus. (English) Zbl 1256.33001 Basel: Birkhäuser (ISBN 978-3-0348-0430-1/hbk; 978-3-0348-0431-8/ebook). xvi, 491 p. (2012). Reviewer: Nele De Schepper (Gent) MSC: 33-02 05A30 33D05 11M36 PDFBibTeX XMLCite \textit{T. Ernst}, A comprehensive treatment of \(q\)-calculus. Basel: Birkhäuser (2012; Zbl 1256.33001) Full Text: DOI
Lu, Guo Xiang Two methods for the general term formula of a recurrence sequence with order \(m\). (Chinese. English summary) Zbl 1503.11021 Math. Theory Appl. 31, No. 4, 109-115 (2011). MSC: 11B37 11B50 39A06 PDFBibTeX XMLCite \textit{G. X. Lu}, Math. Theory Appl. 31, No. 4, 109--115 (2011; Zbl 1503.11021)
Berenhaut, Kenneth S.; Magargee, Elizabeth M.; Stancil, Bennett J. Fibonacci-type piecewise linear recurrences and generalized Ramanujan-Nagell equations. (English) Zbl 1287.39003 Luca, Florian (ed.) et al., Proceedings of the 14th international conference on Fibonacci numbers and their applications, Morelia, Mexico, July 5–9, 2010. México: Sociedad Matemática Mexicana (ISBN 978-607-02-2543-7/pbk). Aportaciones Matemáticas. Investigación 20, 51-58 (2011). MSC: 39A10 11B37 11B83 39A23 PDFBibTeX XMLCite \textit{K. S. Berenhaut} et al., in: Proceedings of the 14th international conference on Fibonacci numbers and their applications, Morelia, Mexico, July 5--9, 2010. México: Sociedad Matemática Mexicana. 51--58 (2011; Zbl 1287.39003)
Kaouache, S.; Zerzaihi, T. Infinity of zeros of recurrence sequences. (English) Zbl 1343.11014 J. Math. Res. 3, No. 3, 130-134 (2011). MSC: 11B37 39A06 PDFBibTeX XMLCite \textit{S. Kaouache} and \textit{T. Zerzaihi}, J. Math. Res. 3, No. 3, 130--134 (2011; Zbl 1343.11014) Full Text: DOI Link
Withers, Christopher S.; Nadarajah, Saralees Solutions to the recurrence relation \(u_{n+1} = v_{n+1} + u_{n} \otimes v_{n}\) in terms of Bell polynomials. (English) Zbl 1294.39001 Comput. Appl. Math. 30, No. 3, 613-626 (2011). MSC: 39A06 33C45 62M10 11B73 PDFBibTeX XMLCite \textit{C. S. Withers} and \textit{S. Nadarajah}, Comput. Appl. Math. 30, No. 3, 613--626 (2011; Zbl 1294.39001) Full Text: DOI Link
Fan, Shen; Liu, Qing-Hui; Wen, Zhi-Ying Gibbs-like measure for spectrum of a class of quasi-crystals. (English) Zbl 1242.81067 Ergodic Theory Dyn. Syst. 31, No. 6, 1669-1695 (2011). MSC: 81Q05 81Q10 11A55 39A70 47B39 PDFBibTeX XMLCite \textit{S. Fan} et al., Ergodic Theory Dyn. Syst. 31, No. 6, 1669--1695 (2011; Zbl 1242.81067) Full Text: DOI
Komatsu, Takao Four-term leaping recurrence relations. (English) Zbl 1203.39002 Linear Multilinear Algebra 58, No. 7-8, 875-886 (2010). MSC: 39A06 11B39 PDFBibTeX XMLCite \textit{T. Komatsu}, Linear Multilinear Algebra 58, No. 7--8, 875--886 (2010; Zbl 1203.39002) Full Text: DOI
Ferreira, José M.; Pinelas, Sandra Oscillatory nonautonomous Lucas sequences. (English) Zbl 1203.39009 Int. J. Differ. Equ. 2010, Article ID 596350, 15 p. (2010). MSC: 39A21 11B39 39A06 39A22 PDFBibTeX XMLCite \textit{J. M. Ferreira} and \textit{S. Pinelas}, Int. J. Differ. Equ. 2010, Article ID 596350, 15 p. (2010; Zbl 1203.39009) Full Text: DOI EuDML
Alsardary, Salar Yaseen; Gould, Henry Wadsworth Special function inverse series pairs. (English) Zbl 1203.33005 Kyungpook Math. J. 50, No. 2, 177-193 (2010). MSC: 33C45 33E30 11B68 05A19 15A09 41A27 PDFBibTeX XMLCite \textit{S. Y. Alsardary} and \textit{H. W. Gould}, Kyungpook Math. J. 50, No. 2, 177--193 (2010; Zbl 1203.33005) Full Text: DOI
Greene, John; Niedzielski, Katherine Periodic solutions to some difference equations over the integers. (English) Zbl 1205.39014 J. Difference Equ. Appl. 16, No. 4, 321-346 (2010). Reviewer: Alberto Cabada (Santiago de Compostela) MSC: 39A23 39A21 39A06 11B39 PDFBibTeX XMLCite \textit{J. Greene} and \textit{K. Niedzielski}, J. Difference Equ. Appl. 16, No. 4, 321--346 (2010; Zbl 1205.39014) Full Text: DOI
Di Vizio, Lucia Arithmetic theory of q-difference equations (G_q-functions and q-difference modules of type G, global q-Gevrey series). arXiv:0902.4169 Preprint, arXiv:0902.4169 [math.NT] (2009). MSC: 39A13 12H99 33D15 11J72 BibTeX Cite \textit{L. Di Vizio}, ``Arithmetic theory of q-difference equations (G_q-functions and q-difference modules of type G, global q-Gevrey series)'', Preprint, arXiv:0902.4169 [math.NT] (2009) Full Text: arXiv OA License
Mokhov, O. I. On consistency of determinants on cubic lattices. (English. Russian original) Zbl 1176.39001 Russ. Math. Surv. 63, No. 6, 1146-1148 (2008); translation from Usp. Mat. Nauk 63, No. 6, 169-170 (2008). MSC: 39A05 15A15 37K10 11H06 52C05 PDFBibTeX XMLCite \textit{O. I. Mokhov}, Russ. Math. Surv. 63, No. 6, 1146--1148 (2008; Zbl 1176.39001); translation from Usp. Mat. Nauk 63, No. 6, 169--170 (2008) Full Text: DOI arXiv
Bertrand, Daniel Multiplicity estimates for \(q\)-difference operators. (English) Zbl 1234.11091 Zannier, Umberto (ed.), Diophantine geometry. Selected papers of a the workshop, Pisa, Italy, April 12–July 22, 2005. Pisa: Edizioni della Normale (ISBN 978-88-7642-206-5/pbk). Centro di Ricerca Matematica Ennio De Giorgi (CRM) Series (Nuova Serie) 4, 65-71 (2007). Reviewer: Zhu Yaochen (Beijing) MSC: 11J72 11J91 39A13 39A70 PDFBibTeX XMLCite \textit{D. Bertrand}, CRM Ser. (N.S.) 4, 65--71 (2007; Zbl 1234.11091)
Nathanson, Melvyn B.; O’Bryant, Kevin; Orosz, Brooke; Ruzsa, Imre; Silva, Manuel Binary linear forms over finite sets of integers. (English) Zbl 1156.11011 Acta Arith. 129, No. 4, 341-361 (2007). Reviewer: Christian Elsholtz (Surrey) MSC: 11B75 11D04 11P99 05B10 PDFBibTeX XMLCite \textit{M. B. Nathanson} et al., Acta Arith. 129, No. 4, 341--361 (2007; Zbl 1156.11011) Full Text: DOI arXiv
Amou, Masaaki; Matala-aho, Tapani; Väänänen, Keijo On Siegel–Shidlovskii’s theory for \(q\)-difference equations. (English) Zbl 1113.11042 Acta Arith. 127, No. 4, 309-335 (2007). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J82 11J72 39A13 PDFBibTeX XMLCite \textit{M. Amou} et al., Acta Arith. 127, No. 4, 309--335 (2007; Zbl 1113.11042) Full Text: DOI
Kilic, Emrah; Tasci, Dursun Factorizations and representations of the backward second-order linear recurrences. (English) Zbl 1115.39004 J. Comput. Appl. Math. 201, No. 1, 182-197 (2007). Reviewer: Edwin Engin Yaz (Milwaukee) MSC: 39A10 15A15 11B39 11B37 PDFBibTeX XMLCite \textit{E. Kilic} and \textit{D. Tasci}, J. Comput. Appl. Math. 201, No. 1, 182--197 (2007; Zbl 1115.39004) Full Text: DOI
Dym, Harry Linear algebra in action. (English) Zbl 1113.15001 Graduate Studies in Mathematics 78. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3813-X/hbk). xvi, 541 p. (2007). Reviewer: Alexander G. Ramm (Manhattan) MSC: 15-01 11-01 34-01 39-01 52-01 93-01 PDFBibTeX XMLCite \textit{H. Dym}, Linear algebra in action. Providence, RI: American Mathematical Society (AMS) (2007; Zbl 1113.15001)
Gutnik, L. A. On some systems of difference equations. (Russian) Zbl 1241.11081 ChebyshevskiĭSb. 7, No. 3(19), 140-145 (2006). MSC: 11J72 39A10 PDFBibTeX XMLCite \textit{L. A. Gutnik}, Chebyshevskiĭ Sb. 7, No. 3(19), 140--145 (2006; Zbl 1241.11081) Full Text: arXiv
Misiurewicz, Michał; Stevens, John G.; Thomas, Diana M. Iterations of linear maps over finite fields. (English) Zbl 1145.37011 Linear Algebra Appl. 413, No. 1, 218-234 (2006). MSC: 37B15 11T06 15B33 39A10 PDFBibTeX XMLCite \textit{M. Misiurewicz} et al., Linear Algebra Appl. 413, No. 1, 218--234 (2006; Zbl 1145.37011) Full Text: DOI
Mingarelli, Angelo B. Principal solutions of recurrence relations and irrationality questions in number theory. arXiv:math/0608577 Preprint, arXiv:math/0608577 [math.NT] (2006). MSC: 11M06 11J72 39A11 39A12 BibTeX Cite \textit{A. B. Mingarelli}, ``Principal solutions of recurrence relations and irrationality questions in number theory'', Preprint, arXiv:math/0608577 [math.NT] (2006) Full Text: arXiv
Hardouin, Charlotte Hypertranscendance et Groupes de Galois aux differences. arXiv:math/0609646 Preprint, arXiv:math/0609646 [math.QA] (2006). MSC: 12-XX 12-XX 05-XX 34-XX 15-XX 39-XX 13-XX 11-XX 34-XX BibTeX Cite \textit{C. Hardouin}, ``Hypertranscendance et Groupes de Galois aux differences'', Preprint, arXiv:math/0609646 [math.QA] (2006) Full Text: arXiv
Fan, Ying Wai; Berenhaut, K. S. A bound for linear recurrence relations with unbounded order. (English) Zbl 1085.11006 Comput. Math. Appl. 50, No. 3-4, 509-518 (2005). Reviewer: Joachim Piehler (Merseburg) MSC: 11B37 PDFBibTeX XMLCite \textit{Y. W. Fan} and \textit{K. S. Berenhaut}, Comput. Math. Appl. 50, No. 3--4, 509--518 (2005; Zbl 1085.11006) Full Text: DOI
Montgomery, Hugh L.; Vorhauer, Ulrike M. A. Greedy sums of distinct squares. (English) Zbl 1028.11013 Math. Comput. 73, No. 245, 493-513 (2004). Reviewer: Florian Luca (Morelia) MSC: 11B83 11A63 11Y70 34K06 PDFBibTeX XMLCite \textit{H. L. Montgomery} and \textit{U. M. A. Vorhauer}, Math. Comput. 73, No. 245, 493--513 (2004; Zbl 1028.11013) Full Text: DOI
Tollisen, Gregory P.; Lengyel, Tamás On minimizing distance by the road less traveled. (English) Zbl 1059.90094 Elem. Math. 58, No. 3, 89-107 (2003). Reviewer: Jaroslav Janáček (Žilina) MSC: 90B80 90C08 11D99 PDFBibTeX XMLCite \textit{G. P. Tollisen} and \textit{T. Lengyel}, Elem. Math. 58, No. 3, 89--107 (2003; Zbl 1059.90094) Full Text: DOI
Amou, M.; Väänänen, K. An analogue of Shidlovskii’s lemma for certain \(q\)-difference equations. (English) Zbl 1016.11027 Aequationes Math. 65, No. 1-2, 93-101 (2003). Reviewer: John H.Loxton (North Ryde) MSC: 11J72 39A13 PDFBibTeX XMLCite \textit{M. Amou} and \textit{K. Väänänen}, Aequationes Math. 65, No. 1--2, 93--101 (2003; Zbl 1016.11027) Full Text: DOI
Qian, Lin; Jiang, Xingguo The explicit representation of general solution of linear difference equation with constant coefficients. (Chinese. English summary) Zbl 1039.39002 J. Yangzhou Univ., Nat. Sci. Ed. 5, No. 4, 12-15 (2002). MSC: 39A10 11D04 PDFBibTeX XMLCite \textit{L. Qian} and \textit{X. Jiang}, J. Yangzhou Univ., Nat. Sci. Ed. 5, No. 4, 12--15 (2002; Zbl 1039.39002)
Napoli, A.; Messina, A.; Tretynyk, V. Construction of a fundamental set of solutions of an arbitrary homogeneous linear difference equation. (English) Zbl 1011.39001 Rep. Math. Phys. 49, No. 2-3, 315-323 (2002). MSC: 39A05 39A10 33C45 11B39 PDFBibTeX XMLCite \textit{A. Napoli} et al., Rep. Math. Phys. 49, No. 2--3, 315--323 (2002; Zbl 1011.39001) Full Text: DOI
Cigler, J. Recurrences for some sequences of binomial sums. (English) Zbl 1050.05009 Sitzungsber., Abt. II, Österr. Akad. Wiss., Math.-Naturwiss. Kl. 210, 61-83 (2001). Reviewer: Ian Anderson (Glasgow) MSC: 05A10 11B39 11B65 39A10 05A15 PDFBibTeX XMLCite \textit{J. Cigler}, Sitzungsber., Abt. II, Österr. Akad. Wiss., Math.-Naturwiss. Kl. 210, 61--83 (2001; Zbl 1050.05009)
Hamaya, Yoshihiro On the asymptotic behavior of a delay Fibonacci equation. (English) Zbl 1003.39002 Ladde, G. S. (ed.) et al., Dynamic systems and applications. Volume 3. Proceedings of the 3rd international conference, Morehouse College, Atlanta, GA, USA, May 26-29, 1999. Atlanta, GA: Dynamic Publishers. 273-277 (2001). MSC: 39A11 11B39 PDFBibTeX XMLCite \textit{Y. Hamaya}, in: Dynamic systems and applications. Volume 3. Proceedings of the 3rd international conference, Morehouse College, Atlanta, GA, USA, May 26--29, 1999. Atlanta, GA: Dynamic Publishers. 273--277 (2001; Zbl 1003.39002)
Olejnik, V. L. Recurrent relations and difference equations. (Russian. English summary) Zbl 0982.39001 Soros. Obraz. Zh. 7, No. 3, 114-120 (2001). Reviewer: V.A.Alexandrov (Novosibirsk) MSC: 39A05 00A06 11B39 PDFBibTeX XMLCite \textit{V. L. Olejnik}, Soros. Obraz. Zh. 7, No. 3, 114--120 (2001; Zbl 0982.39001)
Bundschuh, Peter Arithmetical properties of the solutions of certain functional equations. (English) Zbl 1017.11038 Jutila, Matti (ed.) et al., Number theory. Proceedings of the Turku symposium on number theory in memory of Kustaa Inkeri, Turku, Finland, May 31-June 4, 1999. Berlin: de Gruyter. 25-42 (2001). Reviewer: John H.Loxton (North Ryde) MSC: 11J72 11J81 11J82 11J91 PDFBibTeX XMLCite \textit{P. Bundschuh}, in: Number theory. Proceedings of the Turku symposium on number theory in memory of Kustaa Inkeri, Turku, Finland, May 31--June 4, 1999. Berlin: de Gruyter. 25--42 (2001; Zbl 1017.11038)
Flowers, Brian H. An introduction to numerical methods in C++. 2nd, revised ed. (English) Zbl 0960.65001 Oxford: Oxford University Press. xxii, 555 p. (2000). Reviewer: Nelli Dimitrova (Sofia) MSC: 65-01 00A06 65G50 65H05 11Y05 68N15 65Y15 65C10 65Fxx 65Dxx 68U05 65Txx 65L05 65M06 65N06 12-04 15-04 26-04 34-04 35-04 41-04 42-04 PDFBibTeX XMLCite \textit{B. H. Flowers}, An introduction to numerical methods in C++. 2nd, revised ed. Oxford: Oxford University Press (2000; Zbl 0960.65001)
Hsu, L. C.; Wang, Jun Some Möbius-type functions and inversions constructed via difference operators. (English) Zbl 1002.11005 Tamkang J. Math. 29, No. 2, 89-99 (1998). Reviewer: Thomas Maxsein (Clausthal) MSC: 11A25 39A70 47B39 03H05 PDFBibTeX XMLCite \textit{L. C. Hsu} and \textit{J. Wang}, Tamkang J. Math. 29, No. 2, 89--99 (1998; Zbl 1002.11005)
Mouline, M.; Rachidi, M. \(r\)-generalized Fibonacci sequences, Cayley-Hamilton theorem and Markov chains. (Suites de Fibonacci \(r\)-généralisées, théorème de Cayley-Hamilton et chaines de Markov.) (French) Zbl 0986.11007 Rend. Semin. Mat. Messina, Ser. II 19, No. 4, 107-115 (1997). Reviewer: L.Heinrich (Augsburg) MSC: 11B39 60J10 39A10 PDFBibTeX XMLCite \textit{M. Mouline} and \textit{M. Rachidi}, Rend. Semin. Mat. Messina, Ser. II 4, No. 19, 107--115 (1997; Zbl 0986.11007)
Zudilin, V. V. Difference equations and the irrationality measure of numbers. (English. Russian original) Zbl 0910.11032 Lupanov, O. B. (ed.), Analytic number theory and applications. Collected papers in honor of the sixtieth birthday of Professor Anatolii Alexeevich Karatsuba. Moscow: MAIK Nauka/Interperiodica Publishing, Proc. Steklov Inst. Math. 218, 160-174 (1997); translation from Tr. Mat. Inst. Steklova 218, 165-178 (1997). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J82 39A10 11J72 PDFBibTeX XMLCite \textit{V. V. Zudilin}, in: Analytic number theory and applications. Collected papers in honor of the sixtieth birthday of Professor Anatolii Alexeevich Karatsuba. Moscow: MAIK Nauka/Interperiodica Publishing. 160--174 (1997; Zbl 0910.11032); translation from Tr. Mat. Inst. Steklova 218, 165--178 (1997)
Dèbes, Pierre; Zannier, Umberto Hilbert’s irreducibility theorem and \(G\)-functions. (English) Zbl 0892.11024 Math. Ann. 309, No. 3, 491-503 (1997). Reviewer: T.Komatsu (Nagaoka) MSC: 11J72 11J91 33E30 33E20 12E25 PDFBibTeX XMLCite \textit{P. Dèbes} and \textit{U. Zannier}, Math. Ann. 309, No. 3, 491--503 (1997; Zbl 0892.11024) Full Text: DOI
Al-Zaid, Hassan; Singh, Surjeet Cyclically invariant sets of recurring sequences over a vector space. (English) Zbl 0897.11004 Kyungpook Math. J. 37, No. 1, 83-91 (1997). Reviewer: Tamás Herendi (Debrecen) MSC: 11B39 15A24 11T99 39A10 PDFBibTeX XMLCite \textit{H. Al-Zaid} and \textit{S. Singh}, Kyungpook Math. J. 37, No. 1, 83--91 (1997; Zbl 0897.11004)