Pethő, Attila; Tengely, Szabolcs Common values of linear recurrences related to Shank’s simplest cubics. (English) Zbl 07939409 J. Number Theory 267, 34-79 (2025). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11B37 11D25 11J86 11B39 × Cite Format Result Cite Review PDF Full Text: DOI
Shitov, Yaroslav Further remarks on (0,1) Toeplitz determinants. (English) Zbl 07981570 DML, Discrete Math. Lett. 14, 66-69 (2024). MSC: 15A15 15B05 × Cite Format Result Cite Review PDF Full Text: DOI
Beanland, Kevin; Gorovoy, Dmitriy; Hodor, Jędrzej; Homza, Daniil Counting unions of Schreier sets. (English) Zbl 07970428 Bull. Aust. Math. Soc. 110, No. 1, 19-31 (2024). MSC: 11B37 05A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Behera, Mitashree; Ray, Prasanta Kumar On multiplicative dependent vectors with coordinates from certain higher order recurrences. (English) Zbl 07957198 Int. J. Number Theory 20, No. 10, 2491-2507 (2024). MSC: 11B37 11J86 11D61 × Cite Format Result Cite Review PDF Full Text: DOI
Németh, László; Szalay, László Explicit solution of system of two higher-order recurrences. (English) Zbl 07950855 Turk. J. Math. 48, No. 6, 1079-1088 (2024). MSC: 11B37 05B45 52C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kamlovskiĭ, O. V.; Mizerov, V. V. Frequency characteristics of sequences generated by the stream encryption algorithm GEA-1. (Russian. English summary) Zbl 07950176 Mat. Vopr. Kriptografii 15, No. 3, 67-82 (2024). MSC: 94A60 11B37 11L07 11T71 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Accossato, Federico; Sanna, Carlo On the number of residues of certain second-order linear recurrences. (Sur le nombre de résidus de certaines récurrences linéaires du second ordre.) (English. French summary) Zbl 07945480 C. R., Math., Acad. Sci. Paris 362, 1365-1377 (2024). Reviewer: Artūras Dubickas (Vilnius) MSC: 11B37 11B39 11B50 11K16 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Goedhart, Eva; Ha, Brian; McBeath, Lily; Velasco, Luisa On the Diophantine equations of the form \(\lambda_1 U_{n_1} + \lambda_2 U_{n_2} +\cdots +\lambda_k U_{n_k} = wp_1^{z_1}p_2^{z_2} \cdots p_s^{z_s}\). (English) Zbl 07942700 Bol. Soc. Mat. Mex., III. Ser. 30, No. 3, Paper No. 105, 18 p. (2024). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11B37 11D61 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hamtat, Abdelkader Coincidence between Padovan and Narayana’s cow numbers. (English) Zbl 07936021 Grad. J. Math. 9, No. 1, 60-67 (2024). MSC: 11D61 11B37 × Cite Format Result Cite Review PDF Full Text: Link
Bachabi, Mohamadou; Togbé, Alain S. Products of Fermat or Mersenne numbers in some sequences. (English) Zbl 07929238 Math. Commun. 29, No. 2, 265-285 (2024). MSC: 11D45 11B37 11D61 × Cite Format Result Cite Review PDF Full Text: Link
Odjoumani, Japhet; Ziegler, Volker On products of prime powers in linear recurrence sequences. (English) Zbl 07927173 Acta Arith. 215, No. 4, 355-384 (2024). Reviewer: Anitha Srinivasan (Madrid) MSC: 11D45 11B37 11D61 × Cite Format Result Cite Review PDF Full Text: DOI
Alaa Altassan, Alaa; Alan, Alan Mersenne numbers in generalized Lucas sequences. (English) Zbl 07918196 C. R. Acad. Bulg. Sci. 77, No. 1, 3-10 (2024). Reviewer: Ivan D. Chipchakov (Sofia) MSC: 11B37 11B39 11J86 × Cite Format Result Cite Review PDF Full Text: DOI
Shutov, A. V. On numbers with fixed last digits of linear recurrent base expansion. (Russian. English summary) Zbl 07879501 Dal’nevost. Mat. Zh. 24, No. 1, 141-150 (2024). MSC: 11B37 11A63 11K16 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Ddamulira, Mahadi; Emong, Paul; Mirumbe, Geoffrey Ismail Palindromic concatenations of two distinct repdigits in Narayana’s cows sequence. (English) Zbl 1543.11016 Bull. Iran. Math. Soc. 50, No. 3, Paper No. 35, 16 p. (2024). MSC: 11B37 11D61 11J86 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bhakta, Subham; Krishnamoorthy, Srilakshmi; Muneeswaran, R. Congruence classes for modular forms over small sets. (English) Zbl 07872252 Int. J. Number Theory 20, No. 6, 1621-1647 (2024). MSC: 11F30 11L07 11P05 11B37 11F80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Faye, Bernadette; Németh, László; Szalay, László Linear vector recursions of arbitrary order. (English) Zbl 1549.11023 DML, Discrete Math. Lett. 13, 50-57 (2024). MSC: 11B37 05C63 × Cite Format Result Cite Review PDF Full Text: DOI
Heneralov, Mykola V.; Piven’, Aleksey L. Implicit linear difference equation over residue class rings. (English) Zbl 07870926 Algebra Discrete Math. 37, No. 1, 85-105 (2024). Reviewer: Subha Sarkar (Jamshedpur) MSC: 39A06 11B37 11B50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shattuck, Mark Polynomials whose coefficients are generalized Leonardo numbers. (English) Zbl 07859888 Math. Slovaca 74, No. 2, 299-312 (2024). MSC: 11C08 11B39 × Cite Format Result Cite Review PDF Full Text: DOI
Fujita, Yasutsugu; Le, Maohua Uniqueness conjecture on simultaneous Pell equations. II. (English) Zbl 07857968 Publ. Math. Debr. 104, No. 3-4, 499-522 (2024). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11D09 11B37 11J68 11J86 × Cite Format Result Cite Review PDF Full Text: DOI
Heintze, Sebastian; Ziegler, Volker On Pillai’s problem involving Lucas sequences of the second kind. (English) Zbl 1547.11048 Res. Number Theory 10, No. 2, Paper No. 51, 25 p. (2024). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11D61 11B37 11J86 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cipu, Mihai; Fujita, Yasutsugu; Mignotte, Maurice Diophantine triples with three parameters. (English) Zbl 07852701 Res. Number Theory 10, No. 2, Paper No. 44, 23 p. (2024). Reviewer: Clemens Fuchs (Salzburg) MSC: 11D09 11B37 11J68 11J86 × Cite Format Result Cite Review PDF Full Text: DOI
Křížek, Michal; Somer, Lawrence Period lengths modulo \(n\) and average of terms of second order linear recurrences. (English) Zbl 1541.11021 Integers 24, Paper A36, 41 p. (2024). MSC: 11B39 11B50 × Cite Format Result Cite Review PDF Full Text: Link
Győry, Kálmán; Pethő, Attila; Szalay, László Decomposable forms generated by linear recurrences. (English) Zbl 1544.11013 J. Integer Seq. 27, No. 3, Article 24.3.5, 20 p. (2024). Reviewer: Clemens Fuchs (Salzburg) MSC: 11B37 11D61 11D72 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Campbell, John M.; Kılıç, Emrah Binomial sums involving second-order linearly recurrent sequences. (English) Zbl 1548.11049 Fibonacci Q. 62, No. 1, 57-64 (2024). Reviewer: Uğur Duran (İskenderun) MSC: 11B65 11B39 33B15 × Cite Format Result Cite Review PDF Full Text: Link
Du, Tingting On the reciprocal sums and products of \(m\)th-order linear recursive sequences. (English) Zbl 1533.11033 J. Integer Seq. 27, No. 2, Article 24.2.3, 10 p. (2024). MSC: 11B37 11B39 × Cite Format Result Cite Review PDF Full Text: Link
Shallit, Jeffrey Proving properties of some greedily-defined integer recurrences via automata theory. (English) Zbl 07802225 Theor. Comput. Sci. 988, Article ID 114363, 10 p. (2024). Reviewer: Michel Rigo (Liège) MSC: 68Q45 11A67 11B37 11B85 68V15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Svinin, Andrei K. Somos-4 equation and related equations. (English) Zbl 1536.11027 Adv. Appl. Math. 153, Article ID 102609, 21 p. (2024). Reviewer: Alexey Ustinov (Khabarovsk) MSC: 11B37 11B39 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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
Nansoko, Souleymane; Tchammou, Euloge; Togbé, Alain Balancing numbers as sum of same power of consecutive balancing numbers. (English) Zbl 1533.11201 Vietnam J. Math. 52, No. 1, 75-88 (2024). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11Y55 11D09 11B37 11J86 × Cite Format Result Cite Review PDF Full Text: DOI
García, Jonathan; Gómez, Carlos A.; Luca, Florian Solving Skolem’s problem for the \(k\)-generalized Fibonacci sequence with negative indices. (English) Zbl 1535.11027 J. Number Theory 257, 273-299 (2024). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11B39 11J86 × Cite Format Result Cite Review PDF Full Text: DOI
Nair, Parvathi S; Rout, Sudhansu Sekhar Sums of S-units in X-coordinates of Pell equations. arXiv:2411.11103 Preprint, arXiv:2411.11103 [math.NT] (2024). MSC: 11B37 11D45 11J86 × Cite Format Result Cite Full Text: arXiv
Mane, S. R. Solutions for \(k\)-generalized Fibonacci numbers using Fuss-Catalan numbers. arXiv:2410.07922 Preprint, arXiv:2410.07922 [math.CO] (2024). MSC: 11B39 11B37 39A06 × Cite Format Result Cite Full Text: arXiv
Beauduin, Kei Operational Umbral Calculus. arXiv:2407.16348 Preprint, arXiv:2407.16348 [math.CO] (2024). MSC: 05A40 13F25 39B12 11B73 05A10 05A19 47B99 47B33 11B68 11B37 × Cite Format Result Cite Full Text: arXiv
Hirata-Kohno, Noriko; Muroi, Ryuji; Washio, Yusuke Approximation measures for shifted logarithms of algebraic numbers via effective Poincare-Perron. arXiv:2406.10820 Preprint, arXiv:2406.10820 [math.NT] (2024). MSC: 11J72 11J82 33C05 33C20 11B37 65Q30 × Cite Format Result Cite Full Text: arXiv
Prunescu, Mihai On other two representations of the C-recursive integer sequences by terms in modular arithmetic. arXiv:2406.06436 Preprint, arXiv:2406.06436 [math.NT] (2024). MSC: 11B37 11Y55 39A06 × Cite Format Result Cite Full Text: arXiv
Kenison, George; Nieuwveld, Joris; Ouaknine, Joël; Worrell, James Positivity problems for reversible linear recurrence sequences. (English) Zbl 07944168 Etessami, Kousha (ed.) et al., 50th international colloquium on automata, languages, and programming, ICALP 2023, Paderborn, Germany, July 10–14, 2023. Wadern: Schloss Dagstuhl – Leibniz-Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 261, Article 130, 17 p. (2023). MSC: 11B37 × Cite Format Result Cite Review PDF Full Text: DOI
Mufid, Muhammad Syifa’ul; Szalay, Laszlo Interpolation polynomials associated to linear recurrences. (English) Zbl 1545.11011 Turk. J. Math. 47, No. 7, 1932-1943 (2023). Reviewer: Hayder Hashim (Kufa) MSC: 11B37 03D20 × Cite Format Result Cite Review PDF Full Text: DOI
Adédji, Kouèssi Norbert; Trebješanin, Marija Bliznac; Filipin, Alan; Togbé, Alain On the \(D(4)\)-pairs \(\{a, ka\}\) with \(k \in \{2, 3, 6\}\). (English) Zbl 1536.11057 Glas. Mat., III. Ser. 58, No. 1, 35-57 (2023). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11D09 11B37 11J68 11J86 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Kelmendi, Edon Computing the density of the positivity set for linear recurrence sequences. (English) Zbl 07788988 Log. Methods Comput. Sci. 19, No. 4, Paper No. 16, 34 p. (2023). MSC: 03B25 68R05 11B37 37A44 × Cite Format Result Cite Review PDF Full Text: arXiv
Ide, Haruki Algebraic independence results for a certain family of power series, infinite products, and Lambert type series. (English) Zbl 1543.11064 Osaka J. Math. 60, No. 4, 815-833 (2023). Reviewer: Paul Voutier (London) MSC: 11J85 11J81 11J91 × Cite Format Result Cite Review PDF Full Text: Link
Sebastian, Heintze On the size of a linear combination of two linear recurrence sequences over function fields. (English) Zbl 07773830 Period. Math. Hung. 87, No. 2, 283-292 (2023). MSC: 11B37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ben Taher, R.; Lassri, M.; Rachidi, M. New method for solving non-homogeneous periodic second-order difference equation and some applications. (English) Zbl 1534.39001 Arab. J. Math. 12, No. 3, 647-665 (2023). MSC: 39A06 11B39 11B37 × Cite Format Result Cite Review PDF Full Text: DOI
Stewart, C. L. On prime factors of terms of binary recurrence sequences. (English) Zbl 1534.11012 Acta Arith. 209, 173-189 (2023). Reviewer: Matteo Verzobio (Pisa) MSC: 11B37 11J86 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Behera, Mitashree; Ray, Prasanta Kumar Multiplicative dependent pairs in the sequence of Padovan numbers. (English) Zbl 1535.11019 Math. Slovaca 73, No. 5, 1135-1144 (2023). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11B37 11J86 11D61 × Cite Format Result Cite Review PDF Full Text: DOI
Filipin, Alan; Szalay, László Triangular Diophantine tuples from \(\{1, 2\}\). (English) Zbl 1532.11041 Rad Hrvat. Akad. Znan. Umjet. 555, Mat. Znan. 27, 55-70 (2023). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11D09 11B37 11J86 × Cite Format Result Cite Review PDF Full Text: DOI
Ballot, Christian J.-C.; Williams, Hugh C. The Lucas sequences. Theory and applications. (English) Zbl 1541.11001 CMS/CAIMS Books in Mathematics 8. Cham: Springer (ISBN 978-3-031-37237-7/hbk; 978-3-031-37240-7/pbk; 978-3-031-37238-4/ebook). xviii, 301 p. (2023). Reviewer: Uğur Duran (İskenderun) MSC: 11-01 11B39 × Cite Format Result Cite Review PDF Full Text: DOI
Shutov, A. V. On the sum of digits of expansions of a pair of consecutive numbers over a linear recurrent sequence. (English. Russian original) Zbl 1530.11012 Math. Notes 114, No. 3, 387-396 (2023); translation from Mat. Zametki 114, No. 3, 447-457 (2023). Reviewer: Alexey Ustinov (Khabarovsk) MSC: 11A63 11B37 × Cite Format Result Cite Review PDF Full Text: DOI
Kauers, Manuel \(D\)-finite functions. (English) Zbl 07756344 Algorithms and Computation in Mathematics 30. Cham: Springer (ISBN 978-3-031-34651-4/hbk; 978-3-031-34654-5/pbk; 978-3-031-34652-1/ebook). x, 664 p. (2023). Reviewer: Amir Hashemi (Isfahan) MSC: 68-01 68-02 68W30 × Cite Format Result Cite Review PDF Full Text: DOI
Odjoumani, Japhet; Ziegler, Volker On prime powers in linear recurrence sequences. (English. French summary) Zbl 1537.11043 Ann. Math. Qué. 47, No. 2, 349-366 (2023). Reviewer: István Gaál (Debrecen) MSC: 11D45 11B37 11D61 × Cite Format Result Cite Review PDF Full Text: DOI
Ide, Haruki; Tanaka, Taka-aki Algebraic independence of the partial derivatives of certain functions with arbitrary number of variables. (English) Zbl 1536.11117 Indag. Math., New Ser. 34, No. 6, 1397-1418 (2023). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J81 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tissin, A. S. The number of occurrences of elements from a given subset on the complication segments of linear recurrence sequences. (Russian. English summary) Zbl 1523.11173 Prikl. Diskretn. Mat. 2023, No. 60, 30-39 (2023). MSC: 11N69 11T99 11B37 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Gruba, A. A. Properties of exponential transformations of finite field. (Russian. English summary) Zbl 1532.11166 Prikl. Diskretn. Mat. 2023, No. 60, 13-29 (2023). Reviewer: Vladimír Lacko (Košice) MSC: 11T71 11B37 94D10 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Bhoi, P. K.; Rout, S. S.; Panda, G. K. Sums of \(S\)-units in sum of terms of recurrence sequences. (English) Zbl 1539.11027 Ramanujan J. 62, No. 2, 457-468 (2023). Reviewer: Clemens Fuchs (Salzburg) MSC: 11B37 11D61 11J86 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Antony, Deepa; Barman, Rupam \(p\)-adic quotient sets: linear recurrence sequences. (English) Zbl 1525.11014 Bull. Aust. Math. Soc. 108, No. 1, 19-28 (2023). Reviewer: Florian Luca (Johannesburg) MSC: 11B37 11B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Heintze, Sebastian; Tichy, Robert F.; Vukusic, Ingrid; Ziegler, Volker On the Diophantine equation \(U_n - b^m = c\). (English) Zbl 1537.11144 Math. Comput. 92, No. 344, 2825-2859 (2023). Reviewer: István Gaál (Debrecen) MSC: 11Y50 11D61 11B37 11J86 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI
Koshkin, Sergiy; Rodriguez, Daniel Linear recurrent cryptography: golden-like cryptography for higher order linear recurrences. (English) Zbl 1534.94091 Discrete Math. Algorithms Appl. 15, No. 3, Article ID 2250094, 27 p. (2023). MSC: 94A60 11B37 11T71 94B25 15B36 15B48 11K16 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rihane, Salah Eddine; Togbé, Alain \(k\)-Fibonacci numbers which are Padovan or Perrin numbers. (English) Zbl 1534.11024 Indian J. Pure Appl. Math. 54, No. 2, 568-582 (2023). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11B39 11J86 11D09 11D41 11B37 × Cite Format Result Cite Review PDF Full Text: DOI
Serrano Holgado, Álvaro; Navas Vicente, Luis Manuel The zeta function of a recurrence sequence of arbitrary degree. (English) Zbl 1531.11085 Mediterr. J. Math. 20, No. 4, Paper No. 224, 18 p. (2023). Reviewer: Takao Komatsu (Hangzhou) MSC: 11M41 30B50 11B37 11B39 30B40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bilu, Yuri; Hong, Haojie; Luca, Florian Big prime factors in orders of elliptic curves over finite fields. (English) Zbl 1538.11135 Publ. Math. Debr. 102, No. 3-4, 459-474 (2023). Reviewer: Takao Komatsu (Hangzhou) MSC: 11G20 11B37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Heintze, Sebastian \(S\)-unit values of \(G_n + G_m\) in function fields. (English) Zbl 1538.11108 Publ. Math. Debr. 102, No. 3-4, 429-437 (2023). Reviewer: John H. Loxton (Greenwich) MSC: 11D61 11B37 11R27 11R58 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fujita, Yasutsugu; Le, Maohua Uniqueness conjecture on simultaneous Pell equations. (English) Zbl 1529.11049 Acta Arith. 207, No. 3, 279-296 (2023). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11D09 11B37 11J68 11J86 × Cite Format Result Cite Review PDF Full Text: DOI
Bérczes, Attila; Hajdu, Lajos; Luca, Florian; Pink, István Additive Diophantine equations with binary recurrences, \(\mathcal{S}\)-units and several factorials. (English) Zbl 1533.11032 Result. Math. 78, No. 4, Paper No. 116, 32 p. (2023). Reviewer: Clemens Fuchs (Salzburg) MSC: 11B37 11D61 11J86 × Cite Format Result Cite Review PDF Full Text: DOI
Fuchs, Clemens; Heintze, Sebastian A polynomial variant of diophantine triples in linear recurrences. (English) Zbl 1538.11028 Period. Math. Hung. 86, No. 1, 289-299 (2023). Reviewer: István Gaál (Debrecen) MSC: 11B37 11D61 11J87 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jiménez-Pastor, Antonio; Petkovšek, Marko The factorial-basis method for finding definite-sum solutions of linear recurrences with polynomial coefficients. (English) Zbl 1539.33019 J. Symb. Comput. 117, 15-50 (2023). Reviewer: Christoph Koutschan (Linz) MSC: 33F10 39A06 68W30 11B83 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Adédji, Kouèssi N.; Dossou-Yovo, Virgile; Rihane, Salah E.; Togbé, Alain Padovan or Perrin numbers that are concatenations of two distinct base \(b\) repdigits. (English) Zbl 1517.11093 Math. Slovaca 73, No. 1, 49-64 (2023). Reviewer: István Gaál (Debrecen) MSC: 11J86 11B37 × Cite Format Result Cite Review PDF Full Text: DOI
Hollmann, Henk D. L. Non-standard linear recurring sequence subgroups in finite fields and automorphisms of cyclic codes. I. (English) Zbl 1508.94090 Finite Fields Appl. 86, Article ID 102146, 35 p. (2023). MSC: 94B15 11B37 11T71 20K27 × Cite Format Result Cite Review PDF Full Text: DOI
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 11B37 × Cite Format Result Cite Review PDF Full Text: DOI
Bunder, Martin W.; Tonien, Joseph On the linear space of the two-sided generalized Fibonacci sequences. arXiv:2304.02871 Preprint, arXiv:2304.02871 [math.NT] (2023). MSC: 11B37 11B39 47B37 × Cite Format Result Cite Full Text: arXiv
Lipton, Richard; Luca, Florian; Nieuwveld, Joris; Ouaknine, Joël; Purser, David; Worrell, James On the Skolem problem and the Skolem conjecture. (English) Zbl 07954820 Baier, Christel (ed.) et al., Proceedings of the 2022 37th annual ACM/IEEE symposium on logic in computer science, LICS 2022, Haifa, Israel, August 2–5, 2022. New York, NY: Association for Computing Machinery (ACM). Article No. 5, 9 p. (2022). MSC: 11B37 11U05 × Cite Format Result Cite Review PDF Full Text: DOI
Kelmendi, Edon Computing the density of the positivity set for linear recurrence sequences. (English) Zbl 07954818 Baier, Christel (ed.) et al., Proceedings of the 2022 37th annual ACM/IEEE symposium on logic in computer science, LICS 2022, Haifa, Israel, August 2–5, 2022. New York, NY: Association for Computing Machinery (ACM). Article No. 3, 12 p. (2022). MSC: 11B37 11U05 × Cite Format Result Cite Review PDF Full Text: DOI
Kenison, George On the Skolem problem for reversible sequences. (English) Zbl 07893099 Szeider, Stefan (ed.) et al., 47th international symposium on mathematical foundations of computer science, MFCS 2022, Vienna, Austria, August 22–26, 2022. Wadern: Schloss Dagstuhl – Leibniz-Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 241, Article 61, 15 p. (2022). MSC: 68Qxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Humenberger, Andreas; Amrollahi, Daneshvar; Bjørner, Nikolaj; Kovács, Laura Algebra-based reasoning for loop synthesis. (English) Zbl 1522.68155 Formal Asp. Comput. 34, No. 1, Article No. 4, 31 p. (2022). MSC: 68N30 68W30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bonciocat, Nicolae Ciprian; Cipu, Mihai; Mignotte, Maurice There is no Diophantine \(D(-1)\)-quadruple. (English) Zbl 1531.11032 J. Lond. Math. Soc., II. Ser. 105, No. 1, 63-99 (2022). Reviewer: Clemens Fuchs (Salzburg) MSC: 11D09 11D45 11B37 11J86 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Karimov, Toghrul; Kelmendi, Edon; Ouaknine, Joël; Worrell, James What’s decidable about discrete linear dynamical systems? (English) Zbl 1528.68228 Raskin, Jean-François (ed.) et al., Principles of systems design. Essays dedicated to Thomas A. Henzinger on the occasion of his 60th birthday. Cham: Springer. Lect. Notes Comput. Sci. 13660, 21-38 (2022). MSC: 68Q60 03B25 11B37 37B10 93B03 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Embar, Rebecca; Zeilberger, Doron Counting Condorcet. (English) Zbl 1512.05030 Enumer. Comb. Appl. 2, No. 3, Article ID S2R22, 7 p. (2022). MSC: 05A15 05A19 33F10 91C05 × Cite Format Result Cite Review PDF Full Text: DOI
Cipu, Mihai; Kientega, Gérard; Mignotte, Maurice; Nikiema, Salifou On the height of Graeffe transforms of a polynomial with integer coefficients. (Sur la hauteur des transformées de Graeffe d’un polynôme a coefficients entiers.) (French) Zbl 1549.11075 Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 65(113), No. 2, 213-231 (2022). Reviewer: Jean-Paul Allouche (Paris) MSC: 11C08 11G50 11D09 11B37 11J86 11R06 × Cite Format Result Cite Review PDF
Ide, Haruki; Tanaka, Taka-aki; Toyama, Kento Algebraic independence of the values of power series and their derivatives generated by linear recurrences. (English) Zbl 1514.11046 Tokyo J. Math. 45, No. 2, 519-545 (2022). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J85 × Cite Format Result Cite Review PDF Full Text: DOI Link
Meher, N. K.; Rout, S. S. \(S\)-parts of sums of terms of linear recurrence sequences. (English) Zbl 1524.11024 Acta Math. Hung. 168, No. 2, 553-571 (2022). Reviewer: István Pink (Debrecen) MSC: 11B37 11D61 11J86 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kamlovskiĭ, O. V.; Mizerov, V. V. Distribution properties in the sum of linear recurring and the counter sequences over Galois rings. (Russian. English summary) Zbl 1509.11014 Mat. Vopr. Kriptografii 13, No. 4, 53-67 (2022). MSC: 11B37 11B83 94A55 11T24 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Gryszka, Karol A note on the Fibonacci \(m\)-step sequences modulo \(q\). (English) Zbl 1510.11046 Math. Commun. 27, No. 2, 215-223 (2022). MSC: 11B39 11B50 11B37 × Cite Format Result Cite Review PDF Full Text: Link
Rout, Sudhansu Sekhar The orbit intersection problem in positive characteristic. (English) Zbl 1510.37134 Acta Arith. 206, No. 3, 277-290 (2022). MSC: 37P55 11B37 11D61 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI
Barloy, Corentin; Fijalkow, Nathanaël; Lhote, Nathan; Mazowiecki, Filip A robust class of linear recurrence sequences. (English) Zbl 07629154 Inf. Comput. 289, Part A, Article ID 104964, 14 p. (2022). MSC: 68Q45 11B37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Andrade, Cesar; Bermudez, Yamidt; Trujillo, Carlos On linearised polynomials, Sidon arrays and fast construction of Sidon sets. (English) Zbl 1508.11008 Bull. Aust. Math. Soc. 106, No. 3, 376-384 (2022). MSC: 11B13 11T06 × Cite Format Result Cite Review PDF Full Text: DOI
Marques, Diego; Trojovský, Pavel On the location of roots of the characteristic polynomial of \((p, q)\)-distance Fibonacci sequences. (English) Zbl 1502.11030 Bull. Braz. Math. Soc. (N.S.) 53, No. 4, 1231-1244 (2022). Reviewer: Mohammad K. Azarian (Evansville) MSC: 11B39 11B37 × Cite Format Result Cite Review PDF Full Text: DOI
Pethő, Attila Common values of a class of linear recurrences. (English) Zbl 1518.11056 Indag. Math., New Ser. 33, No. 6, 1172-1188 (2022). Reviewer: Yong-Gao Chen (Nanjing) MSC: 11J86 15A15 11B57 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Adédji, Kouèssi Norbert; Filipin, Alan; Togbé, Alain The problem of the extension of \(D(4)\)-triple \(\{1, b, c\}\). (English) Zbl 1523.11056 Rad Hrvat. Akad. Znan. Umjet. 551, Mat. Znan. 26, 21-43 (2022). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11D09 11B37 11J68 11J86 11Y65 × Cite Format Result Cite Review PDF Full Text: DOI Link
Gómez-Flores, Axel O.; Medina, Luis A.; Stănică, Pantelimon Recursions for modified Walsh transforms of some families of Boolean functions. (English) Zbl 1498.05281 Rocky Mt. J. Math. 52, No. 4, 1355-1373 (2022). MSC: 05E05 06E30 94A60 94D10 11B37 11T23 42C10 × Cite Format Result Cite Review PDF Full Text: DOI Link
Adžaga, Nikola; Filipin, Alan; Fujita, Yasutsugu The extension of the \(D(-k)\)-pair \(\{k,k+1\}\) to a quadruple. (English) Zbl 1513.11092 Period. Math. Hung. 85, No. 1, 148-163 (2022). MSC: 11D09 11B37 11G30 11J68 11J86 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kreso, Dijana On decompositions of binary recurrent polynomials. (English) Zbl 1525.11126 Monatsh. Math. 199, No. 1, 135-148 (2022). Reviewer: Sanjeev Kumar (Chandigarh) MSC: 11R09 12E99 39B12 × Cite Format Result Cite Review PDF Full Text: DOI
Lipka, Eryk Tadeusz; Ulas, Maciej A Fibonacci type sequence with Prouhet-Thue-Morse coefficients. (English) Zbl 1510.11054 J. Difference Equ. Appl. 28, No. 5, 695-715 (2022). MSC: 11B39 11B85 11B50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Adédji, Kouessi Norbert; Filipin, Alan; Togbé, Alain On the family of Diophantine pairs \(\{P_{2K}, 2P_{2k+2}\}\). (English) Zbl 1496.11049 Fibonacci Q. 60, No. 1, 25-39 (2022). Reviewer: Florian Luca (Johannesburg) MSC: 11D09 11B37 11J86 × Cite Format Result Cite Review PDF Full Text: Link
Kiliç, Emrah; Akkus, Ilker; Ömür, Neşe Diophantine equations related with linear binary recurrences. (English) Zbl 1511.11032 Iran. J. Math. Sci. Inform. 17, No. 1, 11-26 (2022). MSC: 11D09 11B39 × Cite Format Result Cite Review PDF Full Text: Link
Ostafe, Alina; Shparlinski, Igor E. On the Skolem problem and some related questions for parametric families of linear recurrence sequences. (English) Zbl 1498.11046 Can. J. Math. 74, No. 3, 773-792 (2022). Reviewer: Clemens Fuchs (Salzburg) MSC: 11B37 11D61 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ait-Amrane, Lyes; Behloul, Djilali Cassini-like formula for generalized hyper-Fibonacci numbers. (English) Zbl 1496.11018 J. Integer Seq. 25, No. 3, Article 22.3.2, 16 p. (2022). Reviewer: Mohammad K. Azarian (Evansville) MSC: 11B39 11B37 20G20 15B36 × Cite Format Result Cite Review PDF Full Text: Link
Forrester, Peter J.; Kumar, Santosh Differential recurrences for the distribution of the trace of the \(\beta\)-Jacobi ensemble. (English) Zbl 1496.81091 Physica D 434, Article ID 133220, 11 p. (2022). MSC: 81U35 15B52 33C45 65Q30 47B10 39B42 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chirvasitu, Alexandru; Hudson, Tara; Upadhyay, Aparna Recursive sequences attached to modular representations of finite groups. (English) Zbl 1515.20060 J. Algebra 602, 599-636 (2022). Reviewer: Telveenus Antony (Kingston upon Thames) MSC: 20C20 20C05 16D40 13F25 11B37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ide, Haruki Algebraic independence of certain entire functions of two variables generated by linear recurrences. (English) Zbl 1496.11098 Acta Arith. 202, No. 4, 303-336 (2022). Reviewer: Stéphane Fischler (Paris) MSC: 11J81 11J85 × Cite Format Result Cite Review PDF Full Text: DOI arXiv