IntegersElectronic Journal of Combinatorial Number Theory Short Title: Integers Publisher: University of West Georgia, Carrollton, GA; Charles University, Prague; DIMATIA ISSN: 1553-1732/e Online: http://www.integers-ejcnt.org/https://www.emis.de/journals/INTEGERS/index.htmlhttp://www.degruyter.com/view/j/integ Comments: Journal; Indexed cover-to-cover; Published electronic only as of 2013. This journal is available open access. From 2009-2012 the journal was published by De Gruyter in additon as print and online version (Print-ISSN 1867-0652, Online-ISSN 1867-0660). Documents Indexed: 1,739 Publications (since 2000) References Indexed: 705 Publications with 9,497 References. all top 5 Latest Issues 23 (2023) 22 (2022) 21B (2021) 21A (2021) 21 (2021) 20A (2020) 20 (2020) 19 (2019) 18B (2018) 18A (2018) 18 (2018) 17 (2017) 16 (2016) 15A (2015) 15 (2015) 14A (2014) 14 (2014) 13 (2013) 12B (2012/2013) 12, No. 6 (2012) 12, No. 5 (2012) 12, No. 4 (2012) 12, No. 3 (2012) 12, No. 2 (2012) 12, No. 1 (2012) 12 (2012) 11B (2011) 11, No. 6 (2011) 11, No. 5 (2011) 11, No. 4 (2011) 11, No. 3 (2011) 11, No. 2 (2011) 11, No. 1 (2011) 10, No. 6 (2010) 10, No. 5 (2010) 10, No. 4 (2010) 10, No. 3 (2010) 10, No. 2 (2010) 10, No. 1 (2010) 9, No. 6 (2009) 9, No. 5 (2009) 9, No. 4 (2009) 9, No. 3 (2009) 9, No. 2 (2009) 9, No. 1 (2009) 8, No. 2 (2008) 8, No. 1 (2008) 7, No. 2 (2007) 7, No. 1 (2007) 6 (2006) 5, No. 3 (2005) 5, No. 2 (2005) 5, No. 1 (2005) 4 (2004) 3 (2003) 2 (2002) 1 (2001) 0 (2000) all top 5 Authors 19 Nowakowski, Richard Joseph 18 Luca, Florian 18 Prodinger, Helmut 17 Pomerance, Carl Bernard 16 Agoh, Takashi 16 Nathanson, Melvyn Bernard 15 Tripathi, Amitabha 14 Lengyel, Tamás 14 Miller, Steven J. 12 Sellers, James Allen 12 Shattuck, Mark A. 11 Jones, Lenny K. 10 Dilcher, Karl 10 Schweiger, Fritz 9 Brown, Thomas Craig 8 Broughan, Kevin A. 8 Chan, Tsz Ho 8 Keith, William J. 8 Larsson, Urban 8 Melham, Raymond Samuel 7 Belbachir, Hacene 7 Gao, Weidong 7 Harrington, Joshua 7 Kitaev, Sergey 7 Komatsu, Takao 7 O’Bryant, Kevin 7 Pollack, Paul 7 Shallit, Jeffrey Outlaw 6 Adhikari, Sukumar Das 6 Alzer, Horst 6 Banks, William David 6 Budden, Mark R. 6 Flórez, Rigoberto 6 Fraenkel, Aviezri Siegmund 6 Graham, Ronald Lewis 6 Hindman, Neil 6 Huggan, Melissa A. 6 Kellner, Bernd C. 6 Mansour, Toufik 6 Mihoubi, Miloud 6 Munagi, Augustine O. 6 Thangadurai, Ravindranathan 6 Williams, Kenneth S. 6 Zeilberger, Doron 5 Ahmed, Tanbir 5 Baruah, Nayandeep Deka 5 Chen, Fang 5 Chen, Yonggao 5 Choudhry, Ajai 5 Chu, Hùng Việt 5 Cochrane, Todd 5 Elizeche, Edgar Federico 5 Godbole, Anant P. 5 Horrocks, David G. C. 5 James, Kevin 5 Jha, Sumit Kumar 5 Ledoan, Andrew H. 5 Low, Richard M. 5 Munarini, Emanuele 5 Nešetřil, Jaroslav 5 Ottaway, Paul 5 Palsson, Eyvindur Ari 5 Pehlivan, Lerna 5 Pelantová, Edita 5 Pereira dos Santos, Carlos 5 Pinner, Christopher G. 5 Savage, Carla Diane 5 Shevelev, Vladimir Samuil 5 Tauraso, Roberto 5 Togbé, Alain 5 Young, Paul Thomas 5 Yuan, Pingzhi 5 Zelinsky, Joshua 4 Allouche, Jean-Paul Simon 4 Andrews, George Eyre 4 Axler, Christian 4 Benjamin, Arthur T. 4 Calkin, Neil J. 4 Christopher, A. David 4 Coons, Michael 4 De Koninck, Jean-Marie 4 Dekking, Frederik Michel 4 El Bachraoui, Mohamed 4 Eliahou, Shalom 4 Fang, Jinhui 4 Frontczak, Robert 4 Girstmair, Kurt 4 Goswami, Sayan 4 Hegarty, Peter V. 4 Hirschhorn, Michael D. 4 Holt, Benjamin V. 4 Iosevich, Alex 4 Jungić, Veselin M. 4 Kane, Daniel M. 4 Lev, Vsevolod F. 4 Mc Laughlin, James G. 4 Mercer, Idris David 4 Merlini, Donatella 4 Milley, Rebecca 4 Miyadera, Ryohei ...and 1,915 more Authors all top 5 Fields 1,423 Number theory (11-XX) 484 Combinatorics (05-XX) 137 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 69 Computer science (68-XX) 66 Group theory and generalizations (20-XX) 34 Special functions (33-XX) 33 Dynamical systems and ergodic theory (37-XX) 29 Linear and multilinear algebra; matrix theory (15-XX) 22 Convex and discrete geometry (52-XX) 20 Probability theory and stochastic processes (60-XX) 16 Commutative algebra (13-XX) 14 General and overarching topics; collections (00-XX) 12 Information and communication theory, circuits (94-XX) 10 Measure and integration (28-XX) 8 Order, lattices, ordered algebraic structures (06-XX) 8 Topological groups, Lie groups (22-XX) 8 Functions of a complex variable (30-XX) 7 Field theory and polynomials (12-XX) 7 Algebraic geometry (14-XX) 6 Mathematical logic and foundations (03-XX) 6 Real functions (26-XX) 6 Sequences, series, summability (40-XX) 6 Geometry (51-XX) 6 General topology (54-XX) 6 Operations research, mathematical programming (90-XX) 5 History and biography (01-XX) 5 Difference and functional equations (39-XX) 5 Approximations and expansions (41-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Manifolds and cell complexes (57-XX) 3 Numerical analysis (65-XX) 2 Associative rings and algebras (16-XX) 2 Statistics (62-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General algebraic systems (08-XX) 1 Nonassociative rings and algebras (17-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Integral transforms, operational calculus (44-XX) 1 Operator theory (47-XX) 1 Algebraic topology (55-XX) 1 Quantum theory (81-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 1,063 Publications have been cited 4,032 times in 3,141 Documents Cited by ▼ Year ▼ Artin’s primitive root conjecture – a survey. Zbl 1271.11002 Moree, Pieter 61 2012 A new generalization of Fibonacci sequence & extended Binet’s formula. Zbl 1248.11009 Edson, Marcia; Yayenie, Omer 53 2009 The combinatorics of frieze patterns and Markoff numbers. Zbl 1435.05018 Propp, James 43 2020 Beta-expansions with negative bases. Zbl 1191.11005 Ito, Shunji; Sadahiro, Taizo 40 2009 Tilings associated with beta-numeration and substitutions. Zbl 1139.37008 Berthé, Valérie; Siegel, Anne 38 2005 Generalized golden ratios over integer alphabets. Zbl 1285.11049 Baker, Simon 38 2014 A combinatorial approach to hyperharmonic numbers. Zbl 1128.11309 Benjamin, Arthur T.; Gaebler, David; Gaebler, Robert 36 2003 Expansions in noninteger bases. Zbl 1301.11008 Komornik, Vilmos 36 2011 Divisibility properties of the 5-regular and 12-regular partition functions. Zbl 1232.11106 Calkin, Neil; Drake, Nate; James, Kevin; Law, Shirley; Lee, Philip; Penniston, David; Radder, Jeanne 35 2008 A combinatorial interpretation of the poly-Bernoulli numbers and two Fermat analogues. Zbl 1165.11022 Brewbaker, Chad 34 2008 Davenport constant with weights and some related questions. Zbl 1107.11018 Adhikari, Sukumar Das; Rath, Purusottam 34 2006 Sets of lengths do not characterize numerical monoids. Zbl 1139.20056 Amos, Jeff; Chapman, S. T.; Hine, Natalie; Paixão, João 32 2007 An infinite family of overpartition congruence modulo 12. Zbl 1088.11074 Hirschhorn, Michael D.; Sellers, James A. 32 2005 On \(p,q\)-binomial coefficients. Zbl 1210.05007 Corcino, Roberto B. 29 2008 Partitions of natural numbers and their representation functions. Zbl 1135.11305 Sándor, Csaba 27 2004 The overpartition function modulo 128. Zbl 1210.11108 Kim, Byungchan 23 2008 Sums of reciprocals of the central binomial coefficients. Zbl 1106.05003 Sprugnoli, Renzo 22 2006 On short zero-sum subsequences. II. Zbl 1201.11030 Gao, W. D.; Hou, Q. H.; Schmid, W. A.; Thangadurai, R. 20 2007 On the sum of reciprocal generalized Fibonacci numbers. Zbl 1233.11019 Holliday, Sarah H.; Komatsu, Takao 19 2011 Zero sums in finite cyclic groups. Zbl 1012.11017 Gao, W. D. 19 2000 Representation of real numbers by the alternating Cantor series. Zbl 1412.11014 Serbenyuk, Symon 19 2017 Sets with more sums than differences. Zbl 1107.11017 Nathanson, Melvyn B. 18 2007 On a conjecture of Hamidoune for subsequence sums. Zbl 1098.11019 Grynkiewicz, David J. 18 2005 Linear recurrent sequences and powers of a square matrix. Zbl 1122.11008 Belbachir, Hacène; Bencherif, Farid 18 2006 Higher correlations of divisor sums related to primes. I: Triple correlations. Zbl 1118.11039 Goldston, D. A.; Yıldırım, C. Y. 18 2003 Integer sets with identical representation functions. Zbl 1404.11013 Chen, Yong-Gao; Lev, Vsevolod F. 17 2016 Supercongruences for a truncated hypergeometric series. Zbl 1301.11020 Tauraso, Roberto 17 2012 A multivariate arithmetic function of combinatorial and topological significance. Zbl 1230.11007 Liskovets, Valery A. 16 2010 Minimal zero sequences of finite cyclic groups. Zbl 1083.11015 Ponomarenko, Vadim 16 2004 Partitions with designated summands in which all parts are odd. Zbl 1386.11109 Baruah, Nayandeep Deka; Ojah, Kanan Kumari 16 2015 Combinatorial properties of poly-Bernoulli relatives. Zbl 1412.11034 Bényi, Beáta; Hajnal, Péter 16 2017 On the intersections of Fibonacci, Pell, and Lucas numbers. Zbl 1228.11018 Alekseyev, Max A. 15 2011 Two explicit formulas of the Schröder numbers. Zbl 1351.05021 Qi, Feng; Shi, Xiao-Ting; Guo, Bai-Ni 15 2016 Primitive prime divisors in polynomial arithmetic dynamics. Zbl 1165.11028 Rice, Brian 14 2007 Quadratic forms and four partition functions modulo 3. Zbl 1219.11155 Lovejoy, Jeremy; Osburn, Robert 14 2011 Taming the wild in impartial combinatorial games. Zbl 1092.91012 Plambeck, Thane E. 14 2005 Remarks on the Pólya-Vinogradov inequality. Zbl 1278.11080 Pomerance, Carl 14 2011 \(K\)-distance sets, Falconer conjecture, and discrete analogs. Zbl 1139.28002 Iosevich, A.; Łaba, I. 14 2005 Expansions in non-integer bases: lower order revisited. Zbl 1368.11010 Baker, Simon; Sidorov, Nikita 14 2014 Supersaturation in the Boolean lattice. Zbl 1316.05119 Dove, Andrew P.; Griggs, Jerrold R.; Kang, Ross J.; Sereni, Jean-Sébastien 14 2014 Generalized Davenport-Schinzel sequences: Results, problems, and applications. Zbl 1004.05004 Klazar, Martin 14 2002 Combinatorial interpretations of binomial coefficient analogues related to Lucas sequences. Zbl 1227.11041 Sagan, Bruce E.; Savage, Carla D. 14 2010 An application of graph pebbling to zero-sum sequences in abelian groups. Zbl 1082.11013 Elledge, Shawn; Hurlbert, Glenn H. 13 2005 The square of the Fermat quotient. Zbl 1083.11005 Granville, Andrew 13 2004 Congruences for generalized Frobenius partitions with an arbitrarily large number of colors. Zbl 1284.11136 Garvan, Frank G.; Sellers, James A. 13 2014 Human proofs of identities by Osburn and Schneider. Zbl 1162.05004 Prodinger, Helmut 12 2008 Counting polyominoes on twisted cylinders. Zbl 1106.05026 Barequet, Gill; Moffie, Micha; Ribó, Ares; Rote, Günter 12 2006 Multiple zeta values and Rota-Baxter algebras. Zbl 1173.11048 Ebrahimi-Fard, Kurusch; Guo, Li 12 2008 Sum-product estimates applied to Waring’s problem mod \(p\). Zbl 1205.11108 Cochrane, Todd; Pinner, Christopher 12 2008 Generalizations of some zero-sum theorems. Zbl 1202.11018 Adhikari, Sukumar Das; David, Chantal; Jiménez Urroz, Jorge 12 2008 Parry expansions of polynomial sequences. Zbl 1107.11307 Steiner, Wolfgang 12 2002 Degrees of streams. Zbl 1274.68157 Endrullis, Jörg; Hendriks, Dimitri; Klop, Jan Willem 12 2011 Polynomials related to harmonic numbers and evaluation of harmonic number series. I. Zbl 1301.11033 Dil, Ayhan; Kurt, Veli 12 2012 Abelian complexity of fixed point of morphism \(0 \mapsto 012, 1 \mapsto 02, 2 \mapsto 1\). Zbl 1285.68128 Blanchet-Sadri, F.; Currie, James D.; Rampersad, Narad; Fox, Nathan 12 2014 Frobenius numbers by lattice point enumeration. Zbl 1229.11049 Einstein, David; Lichtblau, Daniel; Strzebonski, Adam; Wagon, Stan 11 2007 Recurrence formulae for multi-poly-Bernoulli numbers. Zbl 1148.11010 Hamahata, Y.; Masubuchi, H. 11 2007 On 2-adic orders of Stirling numbers of the second kind. Zbl 1093.11015 De Wannemacker, Stefan 11 2005 An upper bound for odd perfect numbers. Zbl 1085.11003 Nielsen, Pace P. 11 2003 Short effective intervals containing primes. Zbl 1379.11081 Kadiri, Habiba; Lumley, Allysa 11 2014 Optimal primitive sets with restricted primes. Zbl 1285.11021 Banks, William D.; Martin, Greg 11 2013 A family of Fibonacci-like conditional sequences. Zbl 1329.11017 Panario, Daniel; Sahin, Murat; Wang, Qiang 11 2013 Multidimensional Euclidean algorithms, numeration and substitutions. Zbl 1273.11014 Berthé, Valerie 11 2011 A note on partitions of natural numbers and their representation functions. Zbl 1283.11025 Yu, Wen; Tang, Min 11 2012 New estimates for some functions defined over primes. Zbl 1440.11184 Axler, Christian 11 2018 Arithmetic structures in random sets. Zbl 1195.11037 Hamel, Mariah; Łaba, Izabella 10 2008 On the number of factorizations of an integer. Zbl 1245.11100 Balasubramanian, Ramachandran; Luca, Florian 10 2011 An introduction to clobber. Zbl 1139.91013 Albert, Michael H.; Grossman, J. P.; Nowakowski, Richard J.; Wolfe, David 10 2005 The Frobenius number of geometric sequences. Zbl 1210.11038 Ong, Darren C.; Ponomarenko, Vadim 10 2008 The Ramsey numbers of large cycles versus small wheels. Zbl 1061.05063 Surahmat; Baskoro, E. T.; Broersma, H. J. 10 2004 Nim restrictions. Zbl 1081.91005 Albert, M. H.; Nowakowski, R. J. 10 2004 Some applications of symmetric functions. Zbl 1330.05160 Boussayoud, Ali; Abderrezzak, Abdelhamid; Kerada, Mohamed 10 2015 On zero-sum sequences in \(\mathbb Z/n \mathbb Z \oplus \mathbb Z/n \mathbb Z\). Zbl 1078.11010 Gao, Weidong; Geroldinger, Alfred 10 2003 On elementary lower bounds for the partition function. Zbl 1078.11060 Maróti, Attila 10 2003 On the directions determined by Cartesian products and the clique number of generalized Paley graphs. Zbl 1470.05140 Yip, Chi Hoi 10 2021 On the Frobenius number of Fibonacci numerical semigroups. Zbl 1177.11017 Marín, J. M.; Ramírez Alfonsín, J. L.; Revuelta, M. P. 9 2007 Simplification of partizan games in misère play. Zbl 1165.91008 Mesdal, G. A.; Ottaway, P. 9 2007 A dual approach to triangle sequences: a multidimensional continued fraction algorithm. Zbl 1102.11034 Assaf, Sami; Chen, Li-Chung; Cheslack-Postava, Tegan; Cooper, Benjamin; Diesl, Alexander; Garrity, Thomas; Lepinski, Mathew; Schuyle, Adam 9 2005 The \(k\)-periodic Fibonacci sequence and an extended Binet’s formula. Zbl 1239.11017 Edson, Marcia; Lewis, Scott; Yayenie, Omer 9 2011 On the problem of uniqueness for the maximum Stirling number(s) of the second kind. Zbl 1008.11006 Canfield, E. Rodney; Pomerance, Carl 9 2002 Christoffel words and Markoff triples. Zbl 1245.11042 Reutenauer, Christophe 9 2009 A characterization of minimal zero-sequences of index one in finite cyclic groups. Zbl 1134.11306 Chapman, Scott T.; Smith, William W. 9 2005 A generalization of the Smarandache function to several variables. Zbl 1114.11003 Hungerbühler, Norbert; Specker, Ernst 9 2006 Enumeration schemes for words avoiding patterns with repeated letters. Zbl 1210.05005 Pudwell, Lara 9 2008 The Fourier transform of functions of the greatest common divisor. Zbl 1209.11010 Schramm, Wolfgang 9 2008 Poset game periodicity. Zbl 1128.91310 Byrnes, Steven 9 2003 Every natural number is the sum of forty-nine palindromes. Zbl 1387.11008 Banks, William D. 9 2016 An infinite family of congruences for \(\ell \)-regular overpartitions. Zbl 1415.11138 Alanazi, Abdulaziz M.; Munagi, Augustine O.; Sellers, James A. 9 2016 Integers without large prime factors: from Ramanujan to de Bruijn. Zbl 1335.11076 Moree, Pieter 9 2014 Three notes on Ser’s and Hasse’s representations for the zeta-functions. Zbl 1453.11106 Blagouchine, Iaroslav V. 9 2018 Computation of \(q\)-partial fractions. Zbl 1165.11308 Munagi, Augustine O. 8 2007 On the order of points on curves over finite fields. Zbl 1136.11042 Voloch, José Felipe 8 2007 On a combinatorial conjecture. Zbl 1241.11021 Cusick, Thomas W.; Li, Yuan; Stănică, Pantelimon 8 2011 Monochromatic sums equal to products in \(\mathbb N\). Zbl 1243.05237 Hindman, Neil 8 2011 Reducing the Erdős-Moser equation \(1^n + 2^n + \dots + k^n = (k + 1)^n\) modulo \(k\) and \(k^2\). Zbl 1233.11038 Sondow, Jonathan; MacMillan, Kieren 8 2011 Waring’s number in a finite field. Zbl 1237.11040 Cipra, James Arthur 8 2009 The Tribonacci substitution. Zbl 1099.11004 Rosema, S. W.; Tijdeman, R. 8 2005 On the irreducibility of \(\{-1,0,1\}\)-quadrinomials. Zbl 1094.11013 Finch, Carrie; Jones, Lenny 8 2006 Some arithmetic properties of overpartition \(k\)-tuples. Zbl 1190.11056 Keister, Derrick M.; Sellers, James A.; Vary, Robert G. 8 2009 Combinatorial identities deriving from the \(n\)th power of a \(2\times 2\) matrix. Zbl 1123.05300 McLaughlin, James 8 2004 On the complexity of chooser-picker positional games. Zbl 1242.91023 Csernenszky, András; Martin, Ryan R.; Pluhár, András 8 2012 Pairwise modular multiplicative inverses and Fibonacci numbers. Zbl 1517.11018 Sanna, Carlo 1 2023 On a relation between Schreier-type sets and a modification of Turán graphs. Zbl 1514.05080 Chu, Hùng Việt 1 2023 On Leonardo \(p\)-numbers. Zbl 1518.11019 Tan, Elif; Leung, Ho-Hon 1 2023 A multiple hook removing game whose starting position is a rectangular Young diagram with unimodal numbering. Zbl 1514.91032 Abuku, Tomoaki; Tada, Masato 1 2023 Integer circulant determinants of order 15. Zbl 1494.11087 Paudel, Bishnu; Pinner, Chris 5 2022 Distributions of Fourier coefficients of cusp forms over arithmetic progressions. Zbl 1493.11087 Zou, Aiyue; Lao, Huixue; Wei, Linli 4 2022 Two infinite families of elliptic curves with rank greater than one. Zbl 1498.11145 Hatley, Jeffrey; Stack, Jason 3 2022 Coprime matchings. Zbl 1501.11042 Pomerance, Carl 3 2022 Sequences in partitions. Zbl 1494.05007 Andrews, George E.; Bhattacharjee, Sreerupa; Dastidar, Manosij G. 3 2022 Primes in floor function sets. Zbl 1504.11095 Heyman, Randell 3 2022 On the generalized Leonardo numbers. Zbl 1493.11034 Kuhapatanakul, Kantaphon; Chobsorn, Juthamas 2 2022 Inverse problems related to some weighted zero-sum constants for cyclic groups. Zbl 1494.11030 Adhikari, Sukumar Das; Hedge, Shruti; Molla, Md Ibrahim; Sarkar, Subha 2 2022 An effective version of a theorem of Shioda on the ranks of elliptic curves given by \(y^2=f(x)+m^2\). Zbl 1509.11046 Walsh, P. G. 2 2022 Additive representations of natural numbers. Zbl 1509.11094 Francis, Forrest J.; Lee, Ethan S. 2 2022 Polygonal balancing numbers. I. Zbl 1493.11031 Bartz, Jeremiah; Dearden, Bruce; Iiams, Joel 2 2022 On the 2-adic valuation of generalized Fibonacci sequences. Zbl 1497.11047 Young, Paul Thomas 2 2022 Coprime permutations. Zbl 1506.05007 Pomerance, Carl 2 2022 Unfair distributions counted by the generalized Stirling numbers. Zbl 1501.11040 Bényi, Beáta; Nkonkobe, Sithembele; Shattuck, Mark 2 2022 Multiplicative functions \(K\)-additive on generalized pentagonal numbers. Zbl 1497.11015 Hasanalizade, Elchin 1 2022 Solution to a problem due to Chu and Kiliç. Zbl 1493.11044 Campbell, John Maxwell 1 2022 Fermat numbers in Narayana’s cows sequence. Zbl 1493.11032 Bhoi, Kisan; Ray, Prasanta Kumar 1 2022 Counting the parts divisible by \(k\) in all the partitions of \(n\) whose parts have multiplicity less than \(k\). Zbl 1498.11210 Herden, Daniel; Sepanski, Mark R.; Stanfill, Jonathan; Hammon, Cordell C.; Henningsen, Joel; Ickes, Henry; Menendez, Jorge Marchena; Poe, Taylor; Ruiz, Indalecio; Smith, Edward L. 1 2022 Complementary numerical sets. Zbl 1509.20096 Guhl, Matthew; Juarez, Jazmine; Ponomarenko, Vadim; Rechkin, Rebecca; Singhal, Deepesh 1 2022 On a family of cubic Thue equations involving Fibonacci and Lucas numbers. Zbl 1501.11049 Hilgart, Tobias; Vukusic, Ingrid; Ziegler, Volker 1 2022 Equivalence classes of skew Dyck paths modulo some patterns. Zbl 1498.05011 Baril, Jean-Luc; Ramírez, José Luis; Simbaqueba, Lina Maria 1 2022 Trace and discriminant criteria for a matrix to be a sum of sixth and eighth powers of matrices. Zbl 1493.11063 Barai, Rakesh; Garge, Anuradha S. 1 2022 An inequality for the distribution of numbers free of small prime factors. Zbl 1517.11122 Fan, Kai (Steve) 1 2022 On the Diophantine equation \(7^x+32^y=z^2\) and its generalization. Zbl 1495.11053 Borah, Padma Bhushan; Dutta, Mridul 1 2022 On primary Carmichael numbers. Zbl 1495.11008 Kellner, Bernd C. 1 2022 Higher degree Erdős-Ginzburg-Ziv constants. Zbl 1507.11021 Caro, Yair; Schmitt, John R. 1 2022 Combinatorial formulas for arithmetic density. Zbl 1502.11015 Schneider, Robert; Sills, Andrew V. 1 2022 Permanents of \(3 \times 3\) invertible matrices modulo \(n\). Zbl 07569244 Bohra, Ayush; Reddy, A. Satyanarayana 1 2022 Partial Dyck paths with air pockets. Zbl 1506.05015 Prodinger, Helmut 1 2022 On denseness of certain direction and generalized direction sets. Zbl 1507.11012 Antony, Deepa; Barman, Rupam; Chattopadhyay, Jaitra 1 2022 Some summation and transformation formulas from inversion techniques. Zbl 1504.05025 Wei, Chuanan; Wei, Yi; Li, Chun 1 2022 A note on the Wilson quotient. Zbl 1505.11006 Agoh, Takashi 1 2022 Irreducibility of generalized Fibonacci polynomials. Zbl 1500.11016 Flórez, Rigoberto; Saunders, J. C. 1 2022 On the two-color Rado number for \(\sum_{i=1}^{m-2} x_i +ax_{m-1} -x_m =c\). Zbl 1502.05157 Dwivedi, Srashti; Tripathi, Amitabha 1 2022 Extremal sequences for a weighted zero-sum constant. Zbl 1505.11034 Mondal, Santanu; Paul, Krishnendu; Paul, Shameek 1 2022 Quotients of palindromic and antipalindromic numbers. Zbl 1507.11007 Bai, James Haoyu; Meleshko, Joseph; Riasat, Samin; Shallit, Jeffrey 1 2022 On the directions determined by Cartesian products and the clique number of generalized Paley graphs. Zbl 1470.05140 Yip, Chi Hoi 10 2021 Robin’s inequality for 20-free integers. Zbl 1468.11205 Morrill, Thomas; Platt, David John 5 2021 Abelian complexity and synchronization. Zbl 1475.11041 Shallit, Jeffrey 5 2021 A new property of Appell sequences and its application. Zbl 1483.11035 Agoh, Takashi 4 2021 On Carmichael and polygonal numbers, Bernoulli polynomials, and sums of base-\(p\) digits. Zbl 1479.11028 Kellner, Bernd C.; Sondow, Jonathan 3 2021 Hausdorff dimension of sets of numbers with large Lüroth elements. Zbl 1469.11250 Arroyo, Aubin; González Robert, Gerardo 3 2021 Weighted partitions and generalized \(r\)-Lah numbers. Zbl 1472.11081 Belbachir, Hacène; Belkhir, Amine; Bousbaa, Imad-Eddine 3 2021 Arithmetic subsequences in a random ordering of an additive set. Zbl 1490.11017 Goh, Marcel K.; Zhao, Rosie Y. 2 2021 Geometric patterns in the determinant Hosoya triangle. Zbl 1490.11019 Blair, Matthew; Flórez, Rigoberto; Mukherjee, Antara 2 2021 WZ proofs for lemniscate-like constant evaluations. Zbl 1526.33007 Campbell, John Maxwell 2 2021 Finite sums of consecutive terms of a second order linear recurrence relation. Zbl 1490.11021 Cooper, Curtis 2 2021 Higher degree Davenport constants over finite commutative rings. Zbl 1496.11015 Caro, Yair; Girard, Benjamin; Schmitt, John R. 2 2021 Multivariate difference Gončarov polynomials. Zbl 1489.39025 Adeniran, Ayomikun; Snider, Lauren; Yan, Catherine 2 2021 Consecutive primes which are widely digitally delicate. Zbl 1498.11028 Filaseta, Michael; Juillerat, Jacob 2 2021 Misère domineering on \(2 \times n\) boards. Zbl 1490.91034 Dwyer, Aaron; Milley, Rebecca; Willette, Michael 2 2021 Impartial games with entailing moves. Zbl 1490.91041 Larsson, Urban; Nowakowski, Richard J.; Santos, Carlos P. 2 2021 Newton sequences and Dirichlet convolution. Zbl 1485.11009 Wójcik, Klaudiusz 2 2021 A generalization of Selfridge’s question. Zbl 1479.11013 Prasad, Devendra 2 2021 On the Frobenius conjecture. Zbl 1487.11031 Lapointe, Mélodie; Reutenauer, Christophe 2 2021 A combinatorial viewpoint on preserving notions of largeness and an abstract Rado theorem. Zbl 1477.05183 Goswami, Sayan; Jana, Subhajit 2 2021 On the total number of prime factors of an odd perfect number. Zbl 1487.11007 Zelinsky, Joshua 2 2021 Parity palindrome compositions. Zbl 1473.05019 Andrews, George E.; Simay, Greg 2 2021 Infinite series containing generalized \(q\)-harmonic numbers. Zbl 1458.05032 Komatsu, Takao; Li, Rusen 2 2021 Balancing and Lucas-balancing numbers expressible as sums of two repdigits. Zbl 1454.11040 Rayaguru, Sai Gopal; Panda, Gopal Krishna 2 2021 The Frobenius problem for extended Thabit numerical semigroups. Zbl 1475.11044 Song, Kyunghwan 1 2021 Lucas congruences for the Apéry numbers modulo \(p^2\). Zbl 1470.11006 Rowland, Eric; Yassawi, Reem; Krattenthaler, Christian 1 2021 Quotients of Hurwitz primes. Zbl 1470.11013 Pan, Minghao; Zhang, Wentao 1 2021 Dirichlet series with trigonometric coefficients. Zbl 1469.11351 Franke, Johann 1 2021 The bi-periodic Fibonacci-Horadam matrix. Zbl 1471.11118 Ascaño, Joy P.; Gueco, Edna N. 1 2021 A recurring pattern in natural numbers of a certain property. Zbl 1471.11020 Tsai, Daniel 1 2021 A sextic diophantine chain and a related Mordell curve. Zbl 1470.11051 Choudhry, Ajai; Shamsi Zargar, Arman 1 2021 Cyclotomic points and algebraic properties of polygon diagonals. Zbl 1478.11132 Grubb, Thomas; Wolird, Christian 1 2021 Uniqueness of optimal point sets determining two distinct triangles. Zbl 1479.52025 Brenner, Hazel N.; Depret-Guillaume, James S.; Palsson, Eyvindur A.; Senger, Steven 1 2021 From a Hungary-Israel contest problem. Zbl 1470.11038 Chen, Fang 1 2021 Discrete correlations of order 2 of generalized Golay-Shapiro sequences: a combinatorial approach. Zbl 1470.11043 Marcovici, Irène; Stoll, Thomas; Tahay, Pierre-Adrien 1 2021 The abelian complexity of infinite words and the Frobenius problem. Zbl 1477.68252 Kaye, Ian; Narad, Rampersad 1 2021 Sums and convolutions of \(K\)-bonacci and \(K\)-Lucas numbers. Zbl 1470.11025 Dresden, Greg; Wang, Yichen 1 2021 Representation numbers of spinor regular ternary quadratic forms. Zbl 1506.11056 Aygin, Zafer Selcuk; Doyle, Greg; Münkel, Florian; Pehlivan, Lerna; Williams, Kenneth S. 1 2021 Chebyshev-Fibonacci polynomial relations using generating functions. Zbl 1497.11038 Frontczak, Robert; Goy, Taras 1 2021 Three imprimitive character sums. Zbl 1492.11034 Isaacson, Brad 1 2021 Abundance of arithmetic progressions in some combinatorially rich sets by elementary means. 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Zbl 1483.11225 Jha, Sumit Kumar 1 2021 ...and 963 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,503 Authors 33 Luca, Florian 26 Miller, Steven J. 25 Komatsu, Takao 24 Belbachir, Hacene 19 Geroldinger, Alfred 19 Kong, Derong 19 Shallit, Jeffrey Outlaw 18 Gao, Weidong 18 Grynkiewicz, David J. 18 Mahadeva Naika, Megadahalli Sidda 18 Ramírez, José Luis 18 Steiner, Wolfgang 18 Thuswaldner, Jörg Maximilian 17 Pelantová, Edita 17 Pomerance, Carl Bernard 17 Yuan, Pingzhi 16 Masáková, Zuzana 16 Qi, Feng 16 Shparlinski, Igor E. 15 Bényi, Beáta 15 Berthé, Valérie 15 Mansour, Toufik 15 Moree, Pieter 15 Sellers, James Allen 14 Nowakowski, Richard Joseph 14 O’Neill, Christopher 13 Komornik, Vilmos 13 Pollack, Paul 13 Schmid, Wolfgang Alexander 13 Sun, Zhi-Wei 12 Adhikari, Sukumar Das 12 Agoh, Takashi 12 Axler, Christian 12 Chen, Yonggao 12 Dilcher, Karl 12 Iosevich, Alex 12 Mező, István 12 Sagan, Bruce Eli 12 Tang, Min 11 Chu, Hùng Việt 11 Larsson, Urban 11 Liu, Wenan 11 Nathanson, Melvyn Bernard 11 Prodinger, Helmut 11 Shattuck, Mark A. 11 Tan, Elif 11 Tóth, László 11 Tripathi, Amitabha 10 Baker, Simon 10 Batir, Necdet 10 Boussayoud, Ali 10 Chern, Shane 10 Li, Yuanlin 10 McNew, Nathan 10 Serbenyuk, Symon Oleksandrovych 10 Solé, Patrick 10 Tauraso, Roberto 10 Zhong, Qinghai 9 Baglini, Lorenzo Luperi 9 Barequet, Gill 9 Gotti, Felix 9 Goy, Taras P. 9 Guo, Bai-Ni 9 Kargin, Levent 9 Lengyel, Tamás 9 Lichtman, Jared Duker 9 Lin, Bernard L. S. 9 Schiffler, Ralf 9 Sha, Min 9 Soykan, Yüksel 9 Spiegelhofer, Lukas 9 Yang, Quanhui 8 Akiyama, Shigeki 8 Bravo, Jhon Jairo 8 Charlier, Emilie 8 Chu, Wenchang 8 da Silva, Robson 8 Gómez, Carlos Alexis 8 Jones, Lenny K. 8 Li, Wenxia 8 Omur, Nese 8 Ordaz, Oscar 8 Pandey, Ram Krishna 8 Patel, Bijan Kumar 8 Pinner, Christopher G. 8 Saikia, Nipen 8 Sanna, Carlo 8 Serra, Oriol 8 Shkredov, Il’ya Dmitrievich 8 Sun, Zhihong 8 Tao, Terence 8 Wang, Liuquan 8 Yamada, Tomohiro 8 Young, Paul Thomas 7 Acikgoz, Mehmet 7 Adell, José Antonio 7 Allouche, Jean-Paul Simon 7 Borwein, Jonathan Michael 7 Chapman, Scott Thomas 7 Chen, Shiqiang ...and 3,403 more Authors all top 5 Cited in 418 Journals 252 Integers 196 Journal of Number Theory 116 The Ramanujan Journal 110 Discrete Mathematics 94 International Journal of Number Theory 72 The Electronic Journal of Combinatorics 68 Journal of Integer Sequences 66 Theoretical Computer Science 56 Journal of Combinatorial Theory. Series A 56 European Journal of Combinatorics 41 Discrete Applied Mathematics 40 Bulletin of the Australian Mathematical Society 40 Acta Arithmetica 38 Mathematics of Computation 38 Acta Mathematica Hungarica 35 Advances in Applied Mathematics 33 Monatshefte für Mathematik 33 Journal de Théorie des Nombres de Bordeaux 30 Annals of Combinatorics 29 Advances in Mathematics 29 Proceedings of the American Mathematical Society 29 Comptes Rendus. Mathématique. Académie des Sciences, Paris 26 Journal of Mathematical Analysis and Applications 24 Functiones et Approximatio. Commentarii Mathematici 22 Rocky Mountain Journal of Mathematics 22 Transactions of the American Mathematical Society 20 American Mathematical Monthly 20 Applied Mathematics and Computation 20 Semigroup Forum 20 Indagationes Mathematicae. 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Mathematics 11 Communications in Algebra 11 Mathematical Proceedings of the Cambridge Philosophical Society 11 Periodica Mathematica Hungarica 11 Mediterranean Journal of Mathematics 11 Involve 10 Journal of the Ramanujan Mathematical Society 10 Experimental Mathematics 10 Journal of Difference Equations and Applications 10 Séminaire Lotharingien de Combinatoire 10 Cryptography and Communications 10 RAIRO. Theoretical Informatics and Applications 10 Afrika Matematika 9 Bulletin of the London Mathematical Society 9 Czechoslovak Mathematical Journal 9 Journal of Pure and Applied Algebra 9 Mathematica Slovaca 9 Quaestiones Mathematicae 9 Journal of Symbolic Computation 9 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 9 Advances in Difference Equations 9 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 8 Information Processing Letters 8 Lithuanian Mathematical Journal 8 The Fibonacci Quarterly 8 International Journal of Foundations of Computer Science 8 International Journal of Advances in Applied Mathematics and Mechanics 8 Enumerative Combinatorics and Applications 7 Results in Mathematics 7 International Journal of Algebra and Computation 7 Designs, Codes and Cryptography 7 Aequationes Mathematicae 7 The Journal of Analysis 7 Bulletin of the Brazilian Mathematical Society. New Series 7 Hacettepe Journal of Mathematics and Statistics 7 Journal of Algebra and its Applications 7 Contributions to Discrete Mathematics 7 Online Journal of Analytic Combinatorics 7 Applicable Analysis and Discrete Mathematics 7 Palestine Journal of Mathematics 7 European Journal of Mathematics 7 Open Mathematics 7 AIMS Mathematics 6 Mathematical Notes 6 Colloquium Mathematicum 6 Mathematische Zeitschrift 6 Discrete & Computational Geometry 6 Forum Mathematicum 6 Filomat ...and 318 more Journals all top 5 Cited in 52 Fields 2,295 Number theory (11-XX) 1,091 Combinatorics (05-XX) 214 Group theory and generalizations (20-XX) 208 Computer science (68-XX) 160 Dynamical systems and ergodic theory (37-XX) 149 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 111 Special functions (33-XX) 105 Commutative algebra (13-XX) 90 Measure and integration (28-XX) 89 Linear and multilinear algebra; matrix theory (15-XX) 86 Convex and discrete geometry (52-XX) 56 Probability theory and stochastic processes (60-XX) 56 Information and communication theory, circuits (94-XX) 49 Algebraic geometry (14-XX) 43 Real functions (26-XX) 41 Order, lattices, ordered algebraic structures (06-XX) 36 Functions of a complex variable (30-XX) 31 Field theory and polynomials (12-XX) 31 Numerical analysis (65-XX) 28 Mathematical logic and foundations (03-XX) 26 Associative rings and algebras (16-XX) 26 Geometry (51-XX) 21 Harmonic analysis on Euclidean spaces (42-XX) 17 Topological groups, Lie groups (22-XX) 15 Sequences, series, summability (40-XX) 15 Approximations and expansions (41-XX) 14 Operations research, mathematical programming (90-XX) 13 Difference and functional equations (39-XX) 12 Abstract harmonic analysis (43-XX) 12 General topology (54-XX) 12 Quantum theory (81-XX) 10 Ordinary differential equations (34-XX) 10 Manifolds and cell complexes (57-XX) 8 Nonassociative rings and algebras (17-XX) 8 Operator theory (47-XX) 8 Algebraic topology (55-XX) 8 Statistics (62-XX) 8 Statistical mechanics, structure of matter (82-XX) 6 History and biography (01-XX) 6 Category theory; homological algebra (18-XX) 6 Mathematics education (97-XX) 5 General and overarching topics; collections (00-XX) 5 Integral transforms, operational calculus (44-XX) 5 Functional analysis (46-XX) 5 Biology and other natural sciences (92-XX) 3 General algebraic systems (08-XX) 3 \(K\)-theory (19-XX) 3 Potential theory (31-XX) 3 Differential geometry (53-XX) 2 Partial differential equations (35-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) Citations by Year