The Fibonacci QuarterlyThe Official Journal of the Fibonacci Association Short Title: Fibonacci Q. Publisher: Fibonacci Association, Sun City, AZ ISSN: 0015-0517 Online: https://www.fq.math.ca/list-of-issues.html Comments: Journal; Indexed cover-to-cover; This journal is available open access. Documents Indexed: 3,040 Publications (since 1963) References Indexed: 65 Publications with 616 References. all top 5 Latest Issues 61, No. 4 (2023) 61, No. 3 (2023) 61, No. 2 (2023) 61, No. 1 (2023) 60, No. 5, Spec. Iss. 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N. S. 13 Đorđević, Gospava B. 13 Komatsu, Takao 13 Křížek, Michal 13 Philippou, Andreas N. 12 Alladi, Krishnaswami 12 Nyblom, Michael A. 12 Zhang, Zhizheng 11 Fielder, Daniel C. 11 Haukkanen, Pentti 11 Shallit, Jeffrey Outlaw 11 Webb, William A. 11 Young, Paul Thomas 10 Ando, Shiro 10 Brown, John L. jun. 10 Ewell, John A. 10 Hsu, Leetsch Charles 10 Lengyel, Tamás 10 Wall, Charles R. 9 Anderson, Peter Gordon 9 Chu, Hùng Việt 9 Greig, W. Elliott 9 Mahon, Brother J. M. 9 Marques, Diego 9 Togbé, Alain 8 Bunder, Martin W. 8 Chuan, Waifong 8 Cook, Charles K. 8 DeLeon, Morris Jack 8 Dilcher, Karl 8 Fennessey, Eric J. 8 Kennedy, Robert Edward 8 Lind, Douglas A. 8 Pongsriiam, Prapanpong 8 Szalay, László 8 Williams, Hugh Cowie 8 Zhang, Wenpeng 8 Zhao, Fengzhen 7 Atanassov, Krassimir Todorov 7 Good, Irving John (Jack) 7 Grundman, Helen G. 7 Hagis, Peter jun. 7 Klarner, David Anthony 7 Lee, Jack Y. B. 7 Ollerton, Richard L. 7 Pethe, S. P. 7 Scoville, Richard A. 7 Shiue, Peter Jau-Shyong 7 Spickerman, William R. 7 Wang, Tianming 6 Church, C. A. jun. 6 Edwards, Kenneth 6 Fuller, Leonard E. 6 Hillman, Abraham P. 6 Jacobson, Eliot T. 6 Klaška, Jiří 6 Knopfmacher, Arnold 6 Liu, Guodong 6 Mizgerd, Clayton M. 6 Monzingo, M. G. 6 Mouline, Mehdi 6 Najar, Rudolph M. 6 Pla, Juan 6 Reiter, Clifford A. 6 Saeki, Osamu 6 Srinivasa Rao, B. 6 Stănică, Pantelimon 6 Steiner, Ray Phillip ...and 1,819 more Authors all top 5 Fields 2,675 Number theory (11-XX) 693 Combinatorics (05-XX) 91 Special functions (33-XX) 78 Linear and multilinear algebra; matrix theory (15-XX) 59 Sequences, series, summability (40-XX) 55 Probability theory and stochastic processes (60-XX) 42 Computer science (68-XX) 38 Geometry (51-XX) 36 Difference and functional equations (39-XX) 32 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 31 Real functions (26-XX) 30 Information and communication theory, circuits (94-XX) 29 History and biography (01-XX) 27 Numerical analysis (65-XX) 22 General and overarching topics; collections (00-XX) 19 Field theory and polynomials (12-XX) 19 Functions of a complex variable (30-XX) 16 Group theory and generalizations (20-XX) 15 Dynamical systems and ergodic theory (37-XX) 13 Statistics (62-XX) 13 Biology and other natural sciences (92-XX) 12 Convex and discrete geometry (52-XX) 9 Approximations and expansions (41-XX) 7 Order, lattices, ordered algebraic structures (06-XX) 7 Operations research, mathematical programming (90-XX) 6 Algebraic geometry (14-XX) 6 Measure and integration (28-XX) 6 Mechanics of particles and systems (70-XX) 5 Mathematical logic and foundations (03-XX) 5 Commutative algebra (13-XX) 5 Integral transforms, operational calculus (44-XX) 4 General topology (54-XX) 4 Manifolds and cell complexes (57-XX) 4 Mathematics education (97-XX) 3 Ordinary differential equations (34-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 General algebraic systems (08-XX) 2 Nonassociative rings and algebras (17-XX) 2 Abstract harmonic analysis (43-XX) 2 Astronomy and astrophysics (85-XX) 1 \(K\)-theory (19-XX) 1 Partial differential equations (35-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 1,472 Publications have been cited 6,568 times in 3,654 Documents Cited by ▼ Year ▼ Some combinatorial identities of Bruckman - a systematic treatment with relation to the older literature. 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E. jun.; Bicknell, Marjorie 28 1973 Some doubly exponential sequences. Zbl 0277.10011 Aho, A. V.; Sloane, N. J. A. 28 1973 Vieta polynomials. Zbl 1090.11012 Horadam, A. F. 28 2002 Waiting for the K-th consecutive success and the Fibonacci sequence of order K. Zbl 0476.60008 Philippou, A. N.; Muwafi, A. A. 28 1982 Fibonacci sequences in finite groups. Zbl 0758.20006 Knox, Steven W. 28 1992 Several identities involving the Fibonacci numbers and Lucas numbers. Zbl 1173.11305 Ma, Rong; Zhang, Wenpeng 28 2007 The Fibonacci lattice. Zbl 0328.06007 Stanley, Richard P. 27 1975 A history of the Fibonacci Q-matrix and a higher-dimensional problem. Zbl 0467.10009 Gould, H. W. 26 1981 Some identities involving the Fibonacci polynomials. Zbl 1018.11008 Yuan, Yi; Zhang, Wenpeng 26 2002 A second variation on a problem of Diophantus and Davenport. Zbl 0382.10011 Jones, Burton W. 25 1978 Some identities involving the Euler and the central factorial numbers. Zbl 0919.11018 Zhang, Wenpeng 25 1998 Factorizations and eigenvalues of Fibonacci and symmetric Fibonacci matrices. Zbl 1079.11012 Lee, Gwang-Yeon; Kim, Jin-Soo; Lee, Sang-Gu 25 2002 Divisibility properties of generalized Fibonacci polynomials. Zbl 0284.10003 Hoggatt, Verner E. jun.; Long, Calvin T. 24 1974 Complex factorizations of the Fibonacci and Lucas numbers. Zbl 1056.11005 Cahill, Nathan D.; D’Errico, John R.; Spence, John P. 24 2003 Fibonacci notes. IV: \(q\)-Fibonacci polynomials. Zbl 0298.10010 Carlitz, Leonard 23 1975 On weighted \(r\)-generalized Fibonacci sequences. Zbl 0886.11010 Dubeau, François; Motta, Walter; Rachidi, Mustapha; Saeki, Osamu 23 1997 Some results on Fibonacci quaternions. Zbl 0186.07801 Iyer, Muthulakshmi R. 23 1969 Some identities for \(r\)-Fibonacci numbers. Zbl 1264.11008 Howard, F. T.; Cooper, Curtis 23 2011 Power digraphs modulo \(n\). Zbl 0936.05049 Wilson, Brad 22 1998 The \(p\)-adic valuation of Lucas sequences. Zbl 1400.11053 Sanna, Carlo 22 2016 Fibonacci cubes are the resonance graphs of Fibonaccenes. Zbl 1079.05094 Klavžar, Sandi; Žigert, Petra 22 2005 Square Fibonacci numbers, etc. Zbl 0126.07201 Cohn, John H. E. 22 1964 Generalized quaternions of higher order. Zbl 0407.10014 Iakin, I. L. 21 1977 General Fibonacci sequences in finite groups. Zbl 1006.11500 Aydin, Hüseyin; Dikici, Ramazan 21 1998 Fibonacci notes. III: \(q\)-Fibonacci numbers. Zbl 0292.10010 Carlitz, Leonard 21 1974 The number of orderings of n candidates when ties are permitted. Zbl 0299.05009 Good, I. J. 21 1975 Derived sequences, the Tribonacci recurrence and cubic forms. Zbl 1001.11008 Elia, Michele 21 2001 Some information about the binomial transform. Zbl 0818.05002 Prodinger, Helmut 21 1994 The g.c.d. in Lucas sequences and Lehmer number sequences. Zbl 0732.11008 McDaniel, Wayne L. 21 1991 Sequences, paths, ballot numbers. Zbl 0257.05001 Carlitz, Leonard 20 1972 On m-th order linear recurrences. Zbl 0574.10016 Levesque, Claude 20 1985 Digraphs from powers modulo \(p\). Zbl 0855.05067 Lucheta, Caroline; Miller, Eli; Reiter, Clifford 20 1996 Fibonacci and Lucas numbers as tridiagonal matrix determinants. Zbl 1080.11014 Cahill, Nathan D.; Narayan, Darren A. 20 2004 The relation of the period modulo to the rank of apparition of m in the Fibonacci sequence. Zbl 0116.03302 Vinson, John 20 1963 Complex Fibonacci numbers. Zbl 0446.10010 Harman, C. J. 19 1981 On the divisibility properties of Fibonacci numbers. Zbl 0147.02202 Halton, J. H. 19 1966 Divisibility properties of Fibonacci polynomials. Zbl 0211.37303 Webb, W. A.; Parberry, E. A. 19 1969 Projective maps of linear recurring sequences with maximal \(p\)-adic periods. Zbl 0761.11007 Huang, Minqiang; Dai, Zongduo 19 1992 Longest success runs and Fibonacci-type polynomials. Zbl 0575.60022 Philippou, Andreas N.; Makri, Frosso S. 18 1985 Some identities involving the Fibonacci numbers and Lucas numbers. Zbl 1052.11012 Zhang, Wenpeng 18 2004 Some results concerning polyominoes. Zbl 0128.24504 Klarner, D. A. 18 1965 The bracket function and Fontené-Ward generalized binomial coefficients with application to Fibonomial coefficients. Zbl 0191.32702 Gould, H. W. 18 1969 Derivative polynomials for tanh, tan, sech and sec in explicit form. Zbl 1205.11026 Boyadzhiev, Khristo N. 18 2007 Generalized quaternions with quaternion components. Zbl 0407.10015 Iakin, I. L. 17 1977 Invariant sequences under binomial transformation. Zbl 0987.05013 Sun, Zhihong 17 2001 Analytic continuation of the Fibonacci Dirichlet series. Zbl 1015.11045 Navas, Luis 17 2001 On \(X\)-coordinates of Pell equations that are repdigits. Zbl 1459.11082 Faye, Bernadette; Luca, Florian 17 2018 On some properties of Humbert’s polynomials. Zbl 0635.33006 Milovanović, G. V.; Djordjević, G. 17 1987 Second derivative sequences of Fibonacci and Lucas polynomials. Zbl 0779.11009 Filipponi, Piero; Horadam, Alwyn F. 17 1993 The multiparameter noncentral Stirling numbers. Zbl 0802.05003 El-Desouky, B. S. 17 1994 On the Fibonacci numbers of trees. Zbl 1133.11011 Zhao, Haixing; Li, Xueliang 17 2006 Associated Stirling numbers. Zbl 0443.10007 Howard, F. T. 16 1980 The Filbert matrix. Zbl 0994.11011 Richardson, Thomas M. 16 2001 Jacobsthal and Pell curves. Zbl 0644.10014 Horadam, Alwyn F. 16 1988 Congruences and recurrences for Bernoulli numbers of higher order. Zbl 0820.11009 Howard, F. T. 16 1994 The Fibonacci matrix modulo m. Zbl 0116.03205 Robinson, D. W. 16 1963 Special properties of the sequence \(w_n(a,b; p,q)\). Zbl 0159.05504 Horadam, A. F. 16 1967 Some remarks on the Bell numbers. Zbl 0426.10013 Carlitz, Leonard 15 1980 The Binet formula and representations of \(k\)-generalized Fibonacci numbers. Zbl 0989.11008 Lee, Gwang-Yeon; Lee, Sang-Gu; Kim, Jin-Soo; Shin, Hang-Kyun 15 2001 On the divisibility by 2 of the Stirling numbers of the second kind. Zbl 0808.11017 Lengyel, T. 15 1994 Fibonacci balancing numbers. Zbl 1067.11006 Liptai, Kálmán; Kiss, Péter 15 2004 Fibonacci numbers and the Rogers-Ramanujan identities. Zbl 1055.11011 Andrews, George E. 15 2004 Fibonacci words. Zbl 0758.68052 Chuan, Wai-fong 15 1992 A remark related to the Frobenius problem. Zbl 0766.11014 Brown, Tom C.; Shiue, Peter Jau-Shyong 15 1993 \(q\)-Fibonacci polynomials. Zbl 1027.11011 Cigler, Johann 15 2003 Bounds on the Fibonacci number of a maximal outerplanar graph. Zbl 0935.05055 Alameddine, Ahmad Fawzi 14 1998 Combinatorial sums and series involving inverses of binomial coefficients. Zbl 0943.11014 Trif, Tiberiu 14 2000 Generalized Fibonacci polynomials. Zbl 0274.10022 Hoggatt, V. E. jun.; Bicknell, Marjorie 14 1973 A primer on the Pell sequence and related sequences. Zbl 0319.10013 Bicknell, Marjorie 14 1975 Gaussian Fibonacci numbers. Zbl 0363.10004 Berzsenyi, George 14 1977 Fibonacci-Lucas quasi-cyclic matrices. Zbl 1081.11011 Lin, Dazheng 14 2002 Gaussian Fibonacci and Lucas numbers. Zbl 0129.02405 Jordan, J. H. 14 1965 Expansion of analytic functions in polynomials associated with Fibonacci numbers. Zbl 0147.06102 Byrd, Paul F. 14 1963 Sums of the inverses of binomial coefficients. Zbl 0476.05011 Rockett, Andrew M. 14 1981 The Tetranacci sequence and generalizations. Zbl 0748.11014 Waddill, Marcellus E. 14 1992 Sequence balancing and cobalancing numbers. Zbl 1214.11027 Panda, G. K. 14 2007 Generalized happy numbers. Zbl 1011.11008 Grundman, H. G.; Teeple, E. A. 13 2001 Matrix generators of Pell sequences. Zbl 0399.10011 Ercolano, Joseph 13 1979 Some identities for Tribonacci sequences. Zbl 0641.10007 Pethe, S. 13 1988 Sums involving gibonacci polynomial squares. Zbl 1520.11024 Koshy, Thomas 6 2023 Additional sums involving gibonacci polynomials. Zbl 1517.11014 Koshy, Thomas 5 2023 Fibonacci or Lucas numbers that are concatenations of two \(g\)-repdigits. Zbl 1518.11016 Adédji, Kouèssi Norbert; Filipin, Alan; Rihane, Salah Eddine; Togbé, Alain 1 2023 Additional sums involving gibonacci polynomial squares. Zbl 07734736 Koshy, Thomas 1 2023 Sums involving gibonacci polynomials. Zbl 1508.11025 Koshy, Thomas 6 2022 Infinite sums involving gibonacci polynomials revisited. Zbl 1502.11029 Koshy, Thomas 5 2022 Infinite sums involving gibonacci polynomials. Zbl 1502.11028 Koshy, Thomas 4 2022 Generalized Schreier sets, linear recurrence relation, and Turán graphs. Zbl 1512.11020 Beanland, Kevin; Chu, Hùng Việt; Finch-Smith, Carrie E. 2 2022 Anti-palindromic compositions. Zbl 1502.05002 Andrews, George E.; Just, Matthew; Simay, Greg 2 2022 Fibonacci along even powers is (almost) realizable. Zbl 1497.11045 Moss, Patrick; Ward, Tom 2 2022 Infinite sums involving extended gibonacci polynomials. Zbl 1508.11023 Koshy, Thomas 1 2022 Fibonacci summation identities arising from Catalan’s identity. Zbl 1512.11025 Tuenter, Hans J. H. 1 2022 Sums related to the Fibonacci sequence. Zbl 1502.11027 Kinlaw, Paul; Morris, Michael; Thiagarajan, Samanthak 1 2022 A method for uniformly proving a family of identities. Zbl 1502.11025 Hendel, Russell Jay 1 2022 Infinite sums involving Jacobsthal polynomials. Zbl 1503.11035 Koshy, Thomas 1 2022 Zigzag sequences and representations of integers. Zbl 1503.11014 Campbell, H. E. A.; Wehlau, D. L. 1 2022 GCD of sums of \(k\) consecutive squares of generalized Fibonacci numbers. Zbl 1520.11028 Mbirika, aBa; Spilker, Jürgen 1 2022 On the generalized Tribonacci zeta function. Zbl 1525.11096 Smajlović, Lejla; Šabanac, Zenan; Šćeta, Lamija 1 2022 On the Hurwitz-type zeta function associated to the Lucas sequence. Zbl 1525.11092 Smajlović, Lejla; Šabanac, Zenan; Šćeta, Lamija 1 2022 Partial sums of the Fibonacci sequence. Zbl 1483.11023 Chu, Hùng Việt 5 2021 A simple bijective proof of a familiar derangement recurrence. Zbl 1483.05003 Elizalde, Sergi 3 2021 Infinite sums involving gibonacci polynomial products. Zbl 1503.11031 Koshy, Thomas 2 2021 In memoriam: Gerald E. Bergum. Zbl 1468.01010 Bicknell-Johnson, Marjorie R. 2 2021 Exact divisibility by powers of the balancing and Lucas-balancing numbers. Zbl 1484.11053 Patra, Asim; Panda, Gopal Krishna; Khemaratchatakumthorn, Tammatada 2 2021 Graph-theoretic confirmations of four sums of gibonacci polynomial products of order 4. Zbl 1483.11029 Koshy, Thomas 2 2021 Nondecreasing Deutsch paths. Zbl 1503.05006 Prodinger, Helmut 1 2021 On generalized Zeckendorf decompositions and generalized golden strings. Zbl 1503.11025 Chu, Hùng Việt 1 2021 A bijection for the Fibonomial coefficients. Zbl 1483.11025 Killpatrick, Kendra; Weaver, Jordan 1 2021 How to add two natural numbers in base phi. Zbl 1483.11014 Dekking, F. Michel 1 2021 A note on Ledin’s summation problem. Zbl 1486.11026 Shannon, A. G.; Ollerton, R. L. 1 2021 Bernoulli and Faulhaber. Zbl 1483.11036 Cereceda, José Luis 1 2021 On the \(x\)-coordinates of Pell equations that are products of two Lucas numbers. Zbl 1467.11036 Ddamulira, Mahadi 5 2020 An introduction to completeness of positive linear recurrence sequences. Zbl 1465.11054 Bołdyriew, Elżbieta; Haviland, John; Lâm, Phúc; Lentfer, John; Miller, Steven J.; Trejos Suárez, Fernando 4 2020 A new combinatorial interpretation of the Fibonacci numbers cubed. Zbl 1467.05030 Edwards, Kenneth; Allen, Michael A. 4 2020 On the sum of digits of the Zeckendorf representations of two consecutive numbers. Zbl 1468.11025 Shutov, Anton 4 2020 Base phi representations and golden mean beta-expansions. Zbl 1460.11016 Dekking, F. Michel 4 2020 A new combinatorial interpretation of the Fibonacci numbers squared. II. Zbl 1467.05020 Edwards, Kenneth; Allen, Michael A. 4 2020 Counting on Euler and Bernoulli number identities. Zbl 1472.11073 Benjamin, Arthur T.; Lentfer, John; Martinez, Thomas C. 3 2020 On periods of Fibonacci sequences and real quadratic \(p\)-rational fields. Zbl 1470.11021 Bouazzaoui, Zakariae 3 2020 Markoff equation with Pell components. Zbl 1468.11090 Kafle, Bir; Srinivasan, Anitha; Togbé, Alain 3 2020 Higher order Fibonacci sequences from generalized Schreier sets. Zbl 1468.11050 Chu, Hùng Việt; Miller, Steven J.; Xiang, Zimu 3 2020 Matrices in the determinant Hosoya triangle. Zbl 1470.11020 Blair, Matthew; Flórez, Rigoberto; Mukherjee, Antara; Ramírez, José L. 2 2020 Linear independence of infinite products generated by the Lucas numbers. Zbl 1471.11218 Duverney, Daniel; Tachiya, Yohei 2 2020 The Markoff-Fibonacci numbers. Zbl 1473.11042 Srinivasan, Anitha 2 2020 Explicit formulas for sums involving the squares of the first \(n\) Tribonacci numbers. Zbl 1468.11061 Schumacher, Raphael 2 2020 Positive integer solutions of some Diophantine equations involving Lucas-balancing numbers. Zbl 1467.11037 Patra, Asim; Panda, G. K. 2 2020 A tiling interpretation of the \(q\)-binomial coefficients. Zbl 1468.05010 Azose, Jonathan J.; Benjamin, Arthur T. 2 2020 On the relation between Fibonacci and Lucas numbers. Zbl 1470.11024 Dafnis, Spiros D. 1 2020 Recursive triangles appearing embedded in recursive families. Zbl 1470.11041 Hendel, Russell Jay 1 2020 A note on Brousseau’s summation problem. Zbl 1470.11028 Ollerton, R. L.; Shannon, A. G. 1 2020 New identities for some symmetric polynomials, and a higher order analogue of the Fibonacci and Lucas numbers. Zbl 1475.11032 Shibukawa, Genki 1 2020 Girard-Waring type formula for a generalized Fibonacci sequence. Zbl 1467.11024 Wang, Kai 1 2020 Central limit theorems for compound paths on the two-dimensional lattice. Zbl 1468.11052 Fang, Evan; Jenkins, Jonathan; Lee, Zack; Li, Daniel; Lu, Ethan; Miller, Steven J.; Salgado, Dilhan; Siktar, Joshua M. 1 2020 Powers of two in generalized Lucas sequences. Zbl 1468.11060 Rihane, Salah Eddine; Faye, Bernadette; Luca, Florian; Togbé, Alain 1 2020 Congruences involving Euler numbers and power sums. Zbl 1468.11073 McIntosh, Richard J. 1 2020 Generalized Fibonacci sequences in Pythagorean triple preserving matrices. Zbl 1477.11029 Austin, Jathan; Schneider, Lisa 1 2020 A family of lacunary recurrences for Lucas numbers. Zbl 1468.11059 Mahanta, Pankaj Jyoti; Saikia, Manjil P. 1 2020 Independence polynomials of Fibonacci trees are log-concave. Zbl 1475.05092 Bautista-Ramos, César; Guillén-Galvácuten, Carlos; Gómez-Salgado, Paulino 1 2020 Another proof for partial strong divisibility property of Lucas-type polynomials. Zbl 1467.11021 Flórez, Rigoberto; Higuita, Robinson A. 1 2020 Gaps of summands of the Zeckendorf lattice. Zbl 1468.11048 Borade, Neelima; Cai, Dexter; Chang, David Z.; Fang, Bruce; Liang, Alex; Miller, Steven J.; Xu, Wanqiao 1 2020 How to sum the squares of the Tetranacci numbers and the Fibonacci \(m\)-step numbers. Zbl 1458.11041 Schumacher, Raphael 8 2019 Repdigits as products of balancing and Lucas-balancing numbers with indices in arithmetic progression. Zbl 1457.11016 Rayaguru, Sai Gopal; Panda, Gopal Krishna 6 2019 Sums of squares of Tetranacci numbers: a generating function approach. Zbl 1447.11032 Prodinger, Helmut; Selkirk, Sarah J. 6 2019 Matrices in the Hosoya triangle. Zbl 1447.11021 Blair, Matthew; Flórez, Rigoberto; Mukherjee, Antara 5 2019 Arithmetic functions of Fibonacci and Lucas numbers. Zbl 1475.11031 Jaidee, Montree; Pongsriiam, Prapanpong 4 2019 Combinatorial identities for the Padovan numbers. Zbl 1444.05021 Tedford, Steven J. 4 2019 A new combinatorial interpretation of the Fibonacci numbers squared. Zbl 1437.05043 Edwards, Kenneth; Allen, Michael A. 4 2019 Fibonacci and Lucas numbers which have exactly three prime factors and some unique properties of \(F_{18}\) and \(L_{18}\). Zbl 1447.11031 Pongsriiam, Prapanpong 4 2019 Unified tiling proofs of a family of Fibonacci identities. Zbl 1458.11031 Benjamin, Arthur T.; Crouch, Joshua; Sellers, James A. 3 2019 The \(p\)-adic valuation of Lucas sequences when \(p\) is a special prime. Zbl 1447.11019 Ballot, Christian 3 2019 Generalizations of Hermite’s identity and applications. Zbl 1458.11005 Aursukaree, Saralee; Khemaratchatakumthorn, Tammatada; Pongsriiam, Prapanpong 2 2019 Repdigits in Euler functions of Pell numbers. Zbl 1473.11009 Sahukar, M. K.; Panda, G. K. 2 2019 A recurrence for Gibonacci cubes with graph-theoretic confirmations. Zbl 1458.11024 Koshy, Thomas 2 2019 Central limit theorems for gaps of generalized Zeckendorf decompositions. Zbl 1459.60062 Li, Ray; Miller, Steven J. 2 2019 Diophantine equations with the Ramanujan \(\tau\) function of factorials, Fibonacci numbers, and Catalan numbers. Zbl 1456.11031 Luca, Florian; Mabaso, Sibusiso 2 2019 Discovering Fibonacci numbers, Fibonacci words, and a Fibonacci fractal in the tower of Hanoi. Zbl 1447.11029 Hinz, Andreas M.; Stockmeyer, Paul K. 2 2019 Global series for zeta functions. Zbl 1447.11096 Young, Paul Thomas 2 2019 A non-linear recurrence identity class for terms of a generalized linear recurrence sequence of degree three. Zbl 1458.11027 Larcombe, Peter J.; Fennessey, Eric J. 1 2019 Faulhaber and Bernoulli. Zbl 1458.11047 Zielinski, Ryan 1 2019 Generalized metallic means. Zbl 1458.11033 Gil, Juan B.; Worley, Aaron 1 2019 Non-classical linear divisibility sequences and cyclotomic polynomials. 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K. 2 2018 ...and 911 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,773 Authors 81 Luca, Florian 44 Kilic, Emrah 44 Kim, Taekyun 39 Kim, Dae San 35 Togbé, Alain 29 Gómez, Carlos Alexis 29 Komatsu, Takao 27 Ramírez, José Luis 27 Shallit, Jeffrey Outlaw 26 Chu, Wenchang 26 Deveci, Ömür 26 Prodinger, Helmut 26 Soykan, Yüksel 24 Belbachir, Hacene 24 Koshy, Thomas 23 Keskin, Refik 23 Mansour, Toufik 22 Włoch, Iwona 21 Bravo, Jhon Jairo 21 He, Tian-Xiao 21 Ray, Prasanta Kumar 20 Rachidi, Mustapha 20 Sanna, Carlo 20 Wagner, Stephan G. 19 Panda, Gopal Krishna 19 Simsek, Yilmaz 18 Szynal-Liana, Anetta 18 Trojovský, Pavel 17 Dujella, Andrej 17 Marques, Diego 17 Özkan, Engin 17 Shattuck, Mark A. 17 Shiue, Peter Jau-Shyong 16 Qi, Feng 16 Rihane, Salah Eddine 16 Sun, Zhi-Wei 16 Szalay, László 15 Dilcher, Karl 15 Fujita, Yasutsugu 15 Srivastava, Hari Mohan 14 Bród, Dorota 14 Chuan, Waifong 14 Klavžar, Sandi 14 Miller, Steven J. 14 Omur, Nese 14 Şiar, Zafer 13 Hsu, Leetsch Charles 13 Jiang, Zhaolin 13 Karaduman, Erdal 13 Qi, Wenfeng 13 Tasci, Dursun 13 Young, Paul Thomas 12 Boussayoud, Ali 12 Cerda-Morales, Gamaliel Cerda 12 Pongsriiam, Prapanpong 12 Rout, Sudhansu Sekhar 11 Cheon, Gi-Sang 11 Egecioglu, Omer 11 Goy, Taras P. 11 Irmak, Nurettin 11 Koparal, Sibel 11 Tan, Elif 10 Bentaher, R. 10 Catarino, Paula Maria Machado Cruz 10 Cipu, Mihai 10 Dolgiĭ, Dmitriĭ Viktorovich 10 Flórez, Rigoberto 10 Frontczak, Robert 10 Haukkanen, Pentti 10 Jones, Lenny K. 10 Larcombe, Peter J. 10 Mollard, Michel 10 Philippou, Andreas N. 10 Rayaguru, Sai Gopal 10 Somer, Lawrence E. 10 Sun, Zhihong 10 Ulas, Maciej 10 Yang, Shengliang 9 Andrews, George Eyre 9 Dekking, Frederik Michel 9 Fennessey, Eric J. 9 Herrera, José L. 9 Kızılateş, Can 9 Klaška, Jiří 9 Křížek, Michal 9 Lengyel, Tamás 9 Liu, Guodong 9 Moll, Victor Hugo 9 Murru, Nadir 9 Sagan, Bruce Eli 9 Saygı, Elif 9 Swamy, Sondekola Rudra 9 Taşkara, Necati 8 Adegoke, Kunle 8 Akkus, Ilker 8 Arıkan, Talha 8 Bozkurt, Durmuş 8 El-Desouky, Beih S. 8 Knopfmacher, Arnold 8 Liu, Wenan ...and 3,673 more Authors all top 5 Cited in 508 Journals 167 Journal of Number Theory 164 Discrete Mathematics 119 Integers 110 Journal of Integer Sequences 91 Discrete Applied Mathematics 82 Linear Algebra and its Applications 75 Applied Mathematics and Computation 64 Journal of Combinatorial Theory. Series A 62 Rocky Mountain Journal of Mathematics 57 The Ramanujan Journal 53 The Fibonacci Quarterly 48 International Journal of Number Theory 45 Advances in Difference Equations 43 Turkish Journal of Mathematics 40 Journal of Mathematical Analysis and Applications 40 Theoretical Computer Science 39 Periodica Mathematica Hungarica 39 Advances in Applied Mathematics 37 European Journal of Combinatorics 34 Chaos, Solitons and Fractals 33 Mathematics of Computation 29 Palestine Journal of Mathematics 28 Advances in Applied Clifford Algebras 28 Finite Fields and their Applications 28 Boletín de la Sociedad Matemática Mexicana. 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RACSAM 20 International Journal of Advances in Applied Mathematics and Mechanics 19 Proceedings of the American Mathematical Society 19 Journal de Théorie des Nombres de Bordeaux 19 Asian-European Journal of Mathematics 18 Journal of Computational and Applied Mathematics 18 Journal of Statistical Planning and Inference 18 Filomat 17 Transactions of the American Mathematical Society 17 Annals of Combinatorics 16 American Mathematical Monthly 16 Mathematics Magazine 16 Statistics & Probability Letters 16 Acta Mathematica Hungarica 16 Graphs and Combinatorics 16 Journal of Difference Equations and Applications 16 Abstract and Applied Analysis 16 Special Matrices 16 AIMS Mathematics 15 Bulletin of the Australian Mathematical Society 15 JP Journal of Algebra, Number Theory and Applications 14 Computers & Mathematics with Applications 14 The Mathematical Gazette 14 Acta Arithmetica 14 Annals of the Institute of Statistical Mathematics 14 Proceedings of the Japan Academy. 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Mathematica 11 Symmetry 11 Research in Number Theory 10 Mathematical Methods in the Applied Sciences 10 Ukrainian Mathematical Journal 10 Advances in Mathematics 10 Quaestiones Mathematicae 10 Mathematical and Computer Modelling 9 Mathematical Problems in Engineering 9 Honam Mathematical Journal 9 Journal of Combinatorial Optimization 9 Comptes Rendus. Mathématique. Académie des Sciences, Paris 9 Open Mathematics 8 Lithuanian Mathematical Journal 8 Functiones et Approximatio. Commentarii Mathematici 8 Journal of Approximation Theory 8 Rendiconti del Circolo Matemàtico di Palermo. Serie II 8 European Journal of Operational Research 8 Journal of Algebraic Combinatorics 8 Communications of the Korean Mathematical Society ...and 408 more Journals all top 5 Cited in 61 Fields 2,523 Number theory (11-XX) 1,255 Combinatorics (05-XX) 289 Linear and multilinear algebra; matrix theory (15-XX) 232 Special functions (33-XX) 174 Computer science (68-XX) 140 Probability theory and stochastic processes (60-XX) 104 Numerical analysis (65-XX) 97 Group theory and generalizations (20-XX) 90 Functions of a complex variable (30-XX) 75 Information and communication theory, circuits (94-XX) 69 Dynamical systems and ergodic theory (37-XX) 65 Statistics (62-XX) 56 Real functions (26-XX) 55 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 53 Biology and other natural sciences (92-XX) 50 Difference and functional equations (39-XX) 47 Operations research, mathematical programming (90-XX) 43 Sequences, series, summability (40-XX) 40 Approximations and expansions (41-XX) 35 Commutative algebra (13-XX) 31 Field theory and polynomials (12-XX) 29 Ordinary differential equations (34-XX) 28 Order, lattices, ordered algebraic structures (06-XX) 28 Harmonic analysis on Euclidean spaces (42-XX) 24 Algebraic geometry (14-XX) 22 Partial differential equations (35-XX) 22 Convex and discrete geometry (52-XX) 21 Manifolds and cell complexes (57-XX) 21 Statistical mechanics, structure of matter (82-XX) 20 Operator theory (47-XX) 20 Geometry (51-XX) 19 Quantum theory (81-XX) 15 Associative rings and algebras (16-XX) 14 History and biography (01-XX) 14 Mathematical logic and foundations (03-XX) 14 Nonassociative rings and algebras (17-XX) 14 Integral transforms, operational calculus (44-XX) 14 Mathematics education (97-XX) 13 Measure and integration (28-XX) 13 Integral equations (45-XX) 12 Functional analysis (46-XX) 10 General and overarching topics; collections (00-XX) 7 Category theory; homological algebra (18-XX) 7 Algebraic topology (55-XX) 6 Differential geometry (53-XX) 5 Potential theory (31-XX) 5 Abstract harmonic analysis (43-XX) 5 Systems theory; control (93-XX) 4 Mechanics of particles and systems (70-XX) 3 Topological groups, Lie groups (22-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Fluid mechanics (76-XX) 3 Relativity and gravitational theory (83-XX) 2 General algebraic systems (08-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Astronomy and astrophysics (85-XX) 1 \(K\)-theory (19-XX) 1 General topology (54-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) Citations by Year