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: 1,878 Publications (since 2000) References Indexed: 843 Publications with 11,641 References. all top 5 Latest Issues 24A (2024) 24 (2024) 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) 9, Suppl. (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 20 Nowakowski, Richard Joseph 19 Luca, Florian 18 Nathanson, Melvyn Bernard 18 Pomerance, Carl Bernard 18 Prodinger, Helmut 16 Agoh, Takashi 16 Tripathi, Amitabha 15 Lengyel, Tamás 15 Miller, Steven J. 13 Sellers, James Allen 12 Shattuck, Mark A. 11 Brown, Thomas Craig 11 Jones, Lenny K. 11 Schweiger, Fritz 10 Dilcher, Karl 9 Chan, Tsz Ho 9 Harrington, Joshua 9 Keith, William J. 9 Shallit, Jeffrey Outlaw 8 Broughan, Kevin A. 8 Larsson, Urban 8 Melham, Raymond Samuel 8 Santos, Carlos P. 7 Alzer, Horst 7 Banks, William David 7 Belbachir, Hacene 7 Choudhry, Ajai 7 Gao, Weidong 7 Kellner, Bernd C. 7 Kitaev, Sergey 7 Komatsu, Takao 7 Mansour, Toufik 7 O’Bryant, Kevin 7 Pollack, Paul 7 Zeilberger, Doron 6 Adhikari, Sukumar Das 6 Baruah, Nayandeep Deka 6 Budden, Mark R. 6 Chu, Hùng Việt 6 Cochrane, Todd 6 Flórez, Rigoberto 6 Fraenkel, Aviezri Siegmund 6 Graham, Ronald Lewis 6 Hindman, Neil 6 Huggan, Melissa A. 6 Low, Richard M. 6 Mihoubi, Miloud 6 Munagi, Augustine O. 6 Nešetřil, Jaroslav 6 Pinner, Christopher G. 6 Thangadurai, Ravindranathan 6 Williams, Kenneth S. 5 Ahmed, Tanbir 5 Axler, Christian 5 Chen, Fang 5 Chen, Yonggao 5 Christopher, A. David 5 Dekking, Frederik Michel 5 Elizeche, Edgar Federico 5 Godbole, Anant P. 5 Hasanalizade, Elchin 5 Horrocks, David G. C. 5 James, Kevin 5 Jha, Sumit Kumar 5 Ledoan, Andrew H. 5 Miyadera, Ryohei 5 Munarini, Emanuele 5 Ottaway, Paul 5 Palsson, Eyvindur Ari 5 Pandey, Ram Krishna 5 Pehlivan, Lerna 5 Pelantová, Edita 5 Ray, Prasanta Kumar 5 Robertson, Aaron 5 Savage, Carla Diane 5 Shevelev, Vladimir Samuil 5 Tauraso, Roberto 5 Togbé, Alain 5 Tóth, László 5 Vandehey, Joseph 5 Young, Paul Thomas 5 Yuan, Pingzhi 5 Zelinsky, Joshua 4 Allouche, Jean-Paul Simon 4 Andrews, George Eyre 4 Benjamin, Arthur T. 4 Bennett, Michael A. 4 Cairns, Grant 4 Calkin, Neil J. 4 Callan, David 4 Coons, Michael 4 De Koninck, Jean-Marie 4 El Bachraoui, Mohamed 4 Eliahou, Shalom 4 Fang, Jinhui 4 Frontczak, Robert 4 Girstmair, Kurt 4 Goswami, Sayan 4 Hamkins, Joel David 4 Hegarty, Peter V. ...and 2,025 more Authors all top 5 Fields 1,547 Number theory (11-XX) 514 Combinatorics (05-XX) 146 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 72 Computer science (68-XX) 67 Group theory and generalizations (20-XX) 37 Dynamical systems and ergodic theory (37-XX) 36 Special functions (33-XX) 31 Linear and multilinear algebra; matrix theory (15-XX) 29 Convex and discrete geometry (52-XX) 21 Probability theory and stochastic processes (60-XX) 17 Commutative algebra (13-XX) 15 General and overarching topics; collections (00-XX) 13 Information and communication theory, circuits (94-XX) 10 Measure and integration (28-XX) 9 Sequences, series, summability (40-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 Mathematical logic and foundations (03-XX) 7 Field theory and polynomials (12-XX) 7 Algebraic geometry (14-XX) 7 Real functions (26-XX) 7 Geometry (51-XX) 6 Approximations and expansions (41-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) 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 Nonassociative rings and algebras (17-XX) 2 Statistics (62-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General algebraic systems (08-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 1,137 Publications have been cited 4,532 times in 3,485 Documents Cited by ▼ Year ▼ Artin’s primitive root conjecture – a survey. Zbl 1271.11002 Moree, Pieter 63 2012 A new generalization of Fibonacci sequence & extended Binet’s formula. Zbl 1248.11009 Edson, Marcia; Yayenie, Omer 57 2009 The combinatorics of frieze patterns and Markoff numbers. Zbl 1435.05018 Propp, James 46 2020 Beta-expansions with negative bases. Zbl 1191.11005 Ito, Shunji; Sadahiro, Taizo 45 2009 Generalized golden ratios over integer alphabets. Zbl 1285.11049 Baker, Simon 40 2014 Davenport constant with weights and some related questions. Zbl 1107.11018 Adhikari, Sukumar Das; Rath, Purusottam 39 2006 Tilings associated with beta-numeration and substitutions. Zbl 1139.37008 Berthé, Valérie; Siegel, Anne 38 2005 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 37 2008 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 A combinatorial interpretation of the poly-Bernoulli numbers and two Fermat analogues. Zbl 1165.11022 Brewbaker, Chad 35 2008 An infinite family of overpartition congruence modulo 12. Zbl 1088.11074 Hirschhorn, Michael D.; Sellers, James A. 34 2005 On \(p,q\)-binomial coefficients. Zbl 1210.05007 Corcino, Roberto B. 33 2008 Sets of lengths do not characterize numerical monoids. Zbl 1139.20056 Amos, Jeff; Chapman, S. T.; Hine, Natalie; Paixão, João 32 2007 Partitions of natural numbers and their representation functions. Zbl 1135.11305 Sándor, Csaba 31 2004 Sums of reciprocals of the central binomial coefficients. Zbl 1106.05003 Sprugnoli, Renzo 25 2006 The overpartition function modulo 128. Zbl 1210.11108 Kim, Byungchan 24 2008 Zero sums in finite cyclic groups. Zbl 1012.11017 Gao, W. D. 22 2000 Sets with more sums than differences. Zbl 1107.11017 Nathanson, Melvyn B. 21 2007 Partitions with designated summands in which all parts are odd. Zbl 1386.11109 Baruah, Nayandeep Deka; Ojah, Kanan Kumari 21 2015 On short zero-sum subsequences. II. Zbl 1201.11030 Gao, W. D.; Hou, Q. H.; Schmid, W. A.; Thangadurai, R. 20 2007 Representation of real numbers by the alternating Cantor series. Zbl 1412.11014 Serbenyuk, Symon 20 2017 On a conjecture of Hamidoune for subsequence sums. Zbl 1098.11019 Grynkiewicz, David J. 19 2005 Two explicit formulas of the Schröder numbers. Zbl 1351.05021 Qi, Feng; Shi, Xiao-Ting; Guo, Bai-Ni 19 2016 On the sum of reciprocal generalized Fibonacci numbers. Zbl 1233.11019 Holliday, Sarah H.; Komatsu, Takao 19 2011 Higher correlations of divisor sums related to primes. I: Triple correlations. Zbl 1118.11039 Goldston, D. A.; Yıldırım, C. Y. 18 2003 Linear recurrent sequences and powers of a square matrix. Zbl 1122.11008 Belbachir, Hacène; Bencherif, Farid 18 2006 Integer sets with identical representation functions. Zbl 1404.11013 Chen, Yong-Gao; Lev, Vsevolod F. 18 2016 Supercongruences for a truncated hypergeometric series. Zbl 1301.11020 Tauraso, Roberto 17 2012 Supersaturation in the Boolean lattice. Zbl 1316.05119 Dove, Andrew P.; Griggs, Jerrold R.; Kang, Ross J.; Sereni, Jean-Sébastien 16 2014 Minimal zero sequences of finite cyclic groups. Zbl 1083.11015 Ponomarenko, Vadim 16 2004 Congruences for generalized Frobenius partitions with an arbitrarily large number of colors. Zbl 1284.11136 Garvan, Frank G.; Sellers, James A. 16 2014 On the intersections of Fibonacci, Pell, and Lucas numbers. Zbl 1228.11018 Alekseyev, Max A. 16 2011 A multivariate arithmetic function of combinatorial and topological significance. Zbl 1230.11007 Liskovets, Valery A. 16 2010 Combinatorial properties of poly-Bernoulli relatives. Zbl 1412.11034 Bényi, Beáta; Hajnal, Péter 16 2017 \(K\)-distance sets, Falconer conjecture, and discrete analogs. Zbl 1139.28002 Iosevich, A.; Łaba, I. 15 2005 Primitive prime divisors in polynomial arithmetic dynamics. Zbl 1165.11028 Rice, Brian 15 2007 Remarks on the Pólya-Vinogradov inequality. Zbl 1278.11080 Pomerance, Carl 15 2011 An application of graph pebbling to zero-sum sequences in abelian groups. Zbl 1082.11013 Elledge, Shawn; Hurlbert, Glenn H. 14 2005 On 2-adic orders of Stirling numbers of the second kind. Zbl 1093.11015 De Wannemacker, Stefan 14 2005 Taming the wild in impartial combinatorial games. Zbl 1092.91012 Plambeck, Thane E. 14 2005 Generalizations of some zero-sum theorems. Zbl 1202.11018 Adhikari, Sukumar Das; David, Chantal; Jiménez Urroz, Jorge 14 2008 Quadratic forms and four partition functions modulo 3. Zbl 1219.11155 Lovejoy, Jeremy; Osburn, Robert 14 2011 Generalized Davenport-Schinzel sequences: Results, problems, and applications. Zbl 1004.05004 Klazar, Martin 14 2002 Expansions in non-integer bases: lower order revisited. Zbl 1368.11010 Baker, Simon; Sidorov, Nikita 14 2014 Combinatorial interpretations of binomial coefficient analogues related to Lucas sequences. Zbl 1227.11041 Sagan, Bruce E.; Savage, Carla D. 14 2010 Parry expansions of polynomial sequences. Zbl 1107.11307 Steiner, Wolfgang 13 2002 The square of the Fermat quotient. Zbl 1083.11005 Granville, Andrew 13 2004 Frobenius numbers by lattice point enumeration. Zbl 1229.11049 Einstein, David; Lichtblau, Daniel; Strzebonski, Adam; Wagon, Stan 13 2007 Polynomials related to harmonic numbers and evaluation of harmonic number series. I. Zbl 1301.11033 Dil, Ayhan; Kurt, Veli 13 2012 Sum-product estimates applied to Waring’s problem mod \(p\). Zbl 1205.11108 Cochrane, Todd; Pinner, Christopher 13 2008 Short effective intervals containing primes. Zbl 1379.11081 Kadiri, Habiba; Lumley, Allysa 13 2014 New estimates for some functions defined over primes. Zbl 1440.11184 Axler, Christian 13 2018 On zero-sum sequences in \(\mathbb Z/n \mathbb Z \oplus \mathbb Z/n \mathbb Z\). Zbl 1078.11010 Gao, Weidong; Geroldinger, Alfred 12 2003 An upper bound for odd perfect numbers. Zbl 1085.11003 Nielsen, Pace P. 12 2003 Degrees of streams. Zbl 1274.68157 Endrullis, Jörg; Hendriks, Dimitri; Klop, Jan Willem 12 2011 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 The Frobenius number of geometric sequences. Zbl 1210.11038 Ong, Darren C.; Ponomarenko, Vadim 12 2008 Human proofs of identities by Osburn and Schneider. Zbl 1162.05004 Prodinger, Helmut 12 2008 Congruences for 3-regular partitions with designated summands. Zbl 1401.11136 Mahadeva Naika, M. S.; Gireesh, D. S. 12 2016 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 On the directions determined by Cartesian products and the clique number of generalized Paley graphs. Zbl 1470.05140 Yip, Chi Hoi 12 2021 On elementary lower bounds for the partition function. Zbl 1078.11060 Maróti, Attila 11 2003 Rainbow Ramsey theory. Zbl 1091.05071 Jungić, Veselin; Nešetřil, Jaroslav; Radoičić, Radoš 11 2005 Nim restrictions. Zbl 1081.91005 Albert, M. H.; Nowakowski, R. J. 11 2004 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 Recurrence formulae for multi-poly-Bernoulli numbers. Zbl 1148.11010 Hamahata, Y.; Masubuchi, H. 11 2007 Every natural number is the sum of forty-nine palindromes. Zbl 1387.11008 Banks, William D. 11 2016 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 On a combinatorial conjecture. Zbl 1241.11021 Cusick, Thomas W.; Li, Yuan; Stănică, Pantelimon 11 2011 An introduction to clobber. Zbl 1139.91013 Albert, Michael H.; Grossman, J. P.; Nowakowski, Richard J.; Wolfe, David 10 2005 Some applications of symmetric functions. Zbl 1330.05160 Boussayoud, Ali; Abderrezzak, Abdelhamid; Kerada, Mohamed 10 2015 The Ramsey numbers of large cycles versus small wheels. Zbl 1061.05063 Surahmat; Baskoro, E. T.; Broersma, H. J. 10 2004 Combinatorial identities deriving from the \(n\)th power of a \(2\times 2\) matrix. Zbl 1123.05300 McLaughlin, James 10 2004 On the Frobenius number of Fibonacci numerical semigroups. Zbl 1177.11017 Marín, J. M.; Ramírez Alfonsín, J. L.; Revuelta, M. P. 10 2007 On the problem of uniqueness for the maximum Stirling number(s) of the second kind. Zbl 1008.11006 Canfield, E. Rodney; Pomerance, Carl 10 2002 Waring’s number in a finite field. Zbl 1237.11040 Cipra, James Arthur 10 2009 Neither \(\prod_{k=1}^n (4 k2+1)\) nor \(\prod_{k=1}^n (2 k(k-1)+1)\) is a perfect square. Zbl 1160.11008 Fang, Jin-Hui 10 2009 A note on incomplete Leonardo numbers. Zbl 1481.11018 Catarino, P.; Borges, A. 10 2020 On the order of points on curves over finite fields. Zbl 1136.11042 Voloch, José Felipe 10 2007 Mixed sums of squares and triangular numbers. II. Zbl 1195.11049 Suo, Song; Pan, Hao; Sun, Zhi-Wei 10 2007 Arithmetic structures in random sets. Zbl 1195.11037 Hamel, Mariah; Łaba, Izabella 10 2008 Squares and difference sets in finite fields. Zbl 1284.11030 Bachoc, C.; Matolcsi, M.; Ruzsa, I. Z. 10 2013 On the number of factorizations of an integer. Zbl 1245.11100 Balasubramanian, Ramachandran; Luca, Florian 10 2011 The \(k\)-periodic Fibonacci sequence and an extended Binet’s formula. Zbl 1239.11017 Edson, Marcia; Lewis, Scott; Yayenie, Omer 10 2011 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 Robin’s inequality for 11-free integers. Zbl 1316.11088 Broughan, Kevin A.; Trudgian, Tim 9 2015 A characterization of minimal zero-sequences of index one in finite cyclic groups. Zbl 1134.11306 Chapman, Scott T.; Smith, William W. 9 2005 On the irreducibility of \(\{-1,0,1\}\)-quadrinomials. Zbl 1094.11013 Finch, Carrie; Jones, Lenny 9 2006 Integers without large prime factors: from Ramanujan to de Bruijn. Zbl 1335.11076 Moree, Pieter 9 2014 Poset game periodicity. Zbl 1128.91310 Byrnes, Steven 9 2003 On the complexity of chooser-picker positional games. Zbl 1242.91023 Csernenszky, András; Martin, Ryan R.; Pluhár, András 9 2012 Euler-type identities for integer compositions via zig-zag graphs. Zbl 1283.05033 Munagi, Augustine O. 9 2012 A generalization of the Smarandache function to several variables. Zbl 1114.11003 Hungerbühler, Norbert; Specker, Ernst 9 2006 Christoffel words and Markoff triples. Zbl 1245.11042 Reutenauer, Christophe 9 2009 Some arithmetic properties of overpartition \(k\)-tuples. Zbl 1190.11056 Keister, Derrick M.; Sellers, James A.; Vary, Robert G. 9 2009 Enumeration schemes for words avoiding patterns with repeated letters. Zbl 1210.05005 Pudwell, Lara 9 2008 On Leonardo \(p\)-numbers. Zbl 1518.11019 Tan, Elif; Leung, Ho-Hon 3 2023 On a relation between Schreier-type sets and a modification of Turán graphs. Zbl 1514.05080 Chu, Hùng Việt 2 2023 A Dombi counterexample with positive lower density. Zbl 07856106 Shallit, Jeffrey 1 2023 Gaps in intervals of \(N\)-expansions. Zbl 07856145 de Jonge, Jaap; Kraaikamp, Cor 1 2023 Pairwise modular multiplicative inverses and Fibonacci numbers. Zbl 1517.11018 Sanna, Carlo 1 2023 Discrete measures and the Riemann hypothesis of some \(L\)-function in the Selberg class. Zbl 07674548 Chaudhary, M. P.; Mazhouda, Kamel; Mekkaoui, Mohammed 1 2023 Finding a widely digitally delicate prime. Zbl 1518.11090 Grantham, Jon 1 2023 A bijection for partitions simultaneously \(s\)-regular and \(t\)-distinct. Zbl 1519.05021 Keith, William J. 1 2023 Extremal sequences for the unit-weighted Gao constant of \(\mathbb{Z}_n\). Zbl 1523.11040 Mondal, Santanu; Paul, Krishnendu; Paul, Shameek 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 On the partition regularity of \(ax+by = cw^mz^n\). Zbl 1530.11013 Farhangi, Sohail; Magner, Richard 1 2023 Integer circulant determinants of order 15. Zbl 1494.11087 Paudel, Bishnu; Pinner, Chris 7 2022 On the generalized Leonardo numbers. Zbl 1493.11034 Kuhapatanakul, Kantaphon; Chobsorn, Juthamas 6 2022 Distributions of Fourier coefficients of cusp forms over arithmetic progressions. Zbl 1493.11087 Zou, Aiyue; Lao, Huixue; Wei, Linli 6 2022 Coprime matchings. Zbl 1501.11042 Pomerance, Carl 4 2022 Sequences in partitions. Zbl 1494.05007 Andrews, George E.; Bhattacharjee, Sreerupa; Dastidar, Manosij G. 4 2022 Extremal sequences for a weighted zero-sum constant. Zbl 1505.11034 Mondal, Santanu; Paul, Krishnendu; Paul, Shameek 4 2022 Average behavior of the Fourier coefficients of the symmetric square \(L\)-function over some sequence of integers. Zbl 1511.11043 Sharma, Anubhav; Sankaranarayanan, Ayyadurai 4 2022 Two infinite families of elliptic curves with rank greater than one. Zbl 1498.11145 Hatley, Jeffrey; Stack, Jason 3 2022 Partial Dyck paths with air pockets. Zbl 1506.05015 Prodinger, Helmut 3 2022 Irreducibility of generalized Fibonacci polynomials. Zbl 1500.11016 Flórez, Rigoberto; Saunders, J. C. 3 2022 Primes in floor function sets. Zbl 1504.11095 Heyman, Randell 3 2022 On the 2-adic valuation of generalized Fibonacci sequences. Zbl 1497.11047 Young, Paul Thomas 3 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 Fermat numbers in Narayana’s cows sequence. Zbl 1493.11032 Bhoi, Kisan; Ray, Prasanta Kumar 2 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. 2 2022 Polygonal balancing numbers. I. Zbl 1493.11031 Bartz, Jeremiah; Dearden, Bruce; Iiams, Joel 2 2022 An inequality for the distribution of numbers free of small prime factors. Zbl 1517.11122 Fan, Kai (Steve) 2 2022 A note on a generalization of two well-known combinatorial identities via a hypergeometric series approach. Zbl 1497.11051 Rathie, Arjun K.; Kim, Insuk; Paris, Richard B. 2 2022 On the Diophantine equation \(7^x+32^y=z^2\) and its generalization. Zbl 1495.11053 Borah, Padma Bhushan; Dutta, Mridul 2 2022 Linear combinations of Dirichlet series associated with the Thue-Morse sequence. Zbl 1511.11078 Tóth, László 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 Combinatorial formulas for arithmetic density. Zbl 1502.11015 Schneider, Robert; Sills, Andrew V. 2 2022 \(k\)-Fibonacci numbers and Möbius functions. Zbl 1498.11020 Schwab, Emil Daniel; Schwab, Gabriela 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 Sums of consecutive prime squares. Zbl 1521.11061 Tongsomporn, Janyarak; Wananiyakul, Saeree; Steuding, Jörn 1 2022 Power of a \(3 \times 3\) matrix, subgroups and tiling. Zbl 07556162 Kirillov, Juri 1 2022 On some generalizations to floor function identities of Ramanujan. Zbl 1493.11013 Somu, Sai Teja; Kukla, Andrzej 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 A generalization of the Hardy-Littlewood conjecture. Zbl 1502.11097 Alkan, Emre 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 On primary Carmichael numbers. Zbl 1495.11008 Kellner, Bernd C. 1 2022 On the \(x\)-coordinates of Pell equations which are Narayana numbers. Zbl 1506.11024 Bhoi, Kisan; Ray, Prasanta Kumar 1 2022 Higher degree Erdős-Ginzburg-Ziv constants. Zbl 1507.11021 Caro, Yair; Schmitt, John R. 1 2022 On the Brousseau sums \(\sum_{i=1}^n i^p F_i\). Zbl 1506.11025 Dresden, Gregory 1 2022 Transfinite game values in infinite draughts. Zbl 1505.91114 Hamkins, Joel David; Leonessi, Davide 1 2022 Formations and generalized Davenport-Schinzel sequences. Zbl 1514.05004 Geneson, Jesse; Tian, Peter; Tung, Katherine 1 2022 Sums of \(\omega (n)\) and \(\Omega (n)\) over the \(k\)-free parts and \(k\)-full parts of some particular sequences. Zbl 1528.11097 Jakimczuk, Rafael; Lalín, Matilde 1 2022 A \(q\)-analogue of Granville’s congruence. Zbl 1501.11002 Elkhiri, Laid; Ömür, Neşe; Koparal, Sibel 1 2022 Prime factors of \(\Phi_3 (x)\) of the same form. Zbl 07604094 Hansen, Cody S.; Nielsen, Pace P. 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 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 Quotients of palindromic and antipalindromic numbers. Zbl 1507.11007 Bai, James Haoyu; Meleshko, Joseph; Riasat, Samin; Shallit, Jeffrey 1 2022 Ideal solutions of the Tarry-Escott problem of degree seven. Zbl 1514.11025 Choudhry, Ajai 1 2022 Schur’s theorem in integer lattices. Zbl 1497.11059 Balaji, Vishal; Lott, Andrew; Rice, Alex 1 2022 On the index of odd perfect numbers. Zbl 1501.11011 Gallardo, Luis H. 1 2022 Permanents of \(3 \times 3\) invertible matrices modulo \(n\). Zbl 1539.15038 Bohra, Ayush; Reddy, A. Satyanarayana 1 2022 On the directions determined by Cartesian products and the clique number of generalized Paley graphs. Zbl 1470.05140 Yip, Chi Hoi 12 2021 Robin’s inequality for 20-free integers. Zbl 1468.11205 Morrill, Thomas; Platt, David John 7 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 4 2021 On the total number of prime factors of an odd perfect number. Zbl 1487.11007 Zelinsky, Joshua 4 2021 Infinite series containing generalized \(q\)-harmonic numbers. Zbl 1458.05032 Komatsu, Takao; Li, Rusen 3 2021 Arithmetic subsequences in a random ordering of an additive set. Zbl 1490.11017 Goh, Marcel K.; Zhao, Rosie Y. 3 2021 Three imprimitive character sums. Zbl 1492.11034 Isaacson, Brad 3 2021 Weighted partitions and generalized \(r\)-Lah numbers. Zbl 1472.11081 Belbachir, Hacène; Belkhir, Amine; Bousbaa, Imad-Eddine 3 2021 Newton sequences and Dirichlet convolution. Zbl 1485.11009 Wójcik, Klaudiusz 3 2021 A generalization of Selfridge’s question. Zbl 1479.11013 Prasad, Devendra 3 2021 Hausdorff dimension of sets of numbers with large Lüroth elements. Zbl 1469.11250 Arroyo, Aubin; González Robert, Gerardo 3 2021 Parity palindrome compositions. Zbl 1473.05019 Andrews, George E.; Simay, Greg 3 2021 The Frobenius problem for extended Thabit numerical semigroups. Zbl 1475.11044 Song, Kyunghwan 2 2021 Dirichlet series with trigonometric coefficients. Zbl 1469.11351 Franke, Johann 2 2021 A sextic diophantine chain and a related Mordell curve. Zbl 1470.11051 Choudhry, Ajai; Shamsi Zargar, Arman 2 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 2 2021 Discrete correlations of order 2 of generalized Golay-Shapiro sequences: a combinatorial approach. Zbl 1470.11043 Marcovici, Irène; Stoll, Thomas; Tahay, Pierre-Adrien 2 2021 Balancing and Lucas-balancing numbers expressible as sums of two repdigits. Zbl 1454.11040 Rayaguru, Sai Gopal; Panda, Gopal Krishna 2 2021 Walking to infinity along Gaussian lines. Zbl 1454.11191 Magness, Elsa; Nugent, Brian; Robertson, Leanne 2 2021 Geometric patterns in the determinant Hosoya triangle. Zbl 1490.11019 Blair, Matthew; Flórez, Rigoberto; Mukherjee, Antara 2 2021 Representation numbers of spinor regular ternary quadratic forms. Zbl 1506.11056 Aygin, Zafer Selcuk; Doyle, Greg; Münkel, Florian; Pehlivan, Lerna; Williams, Kenneth S. 2 2021 Abundance of arithmetic progressions in some combinatorially rich sets by elementary means. Zbl 1495.11017 Debnath, Pintu; Goswami, Sayan 2 2021 WZ proofs for lemniscate-like constant evaluations. Zbl 1526.33007 Campbell, John Maxwell 2 2021 On Pillai’s problem with Lucas numbers and powers of 3. Zbl 1496.11023 Edjeou, Bilizimbéyé; Tall, Amadou; Ben Maaouia, Mohamed Ben Fraj 2 2021 Finite sums of consecutive terms of a second order linear recurrence relation. Zbl 1490.11021 Cooper, Curtis 2 2021 On (self-)reciprocal Appell polynomials: symmetry and Faulhaber-type polynomials. Zbl 1490.11033 Kellner, Bernd C. 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 Distance graphs and arithmetic progressions. Zbl 1492.11016 Farhangi, Sohail; Grytczuk, Jarosław 2 2021 Consecutive primes which are widely digitally delicate. Zbl 1498.11028 Filaseta, Michael; Juillerat, Jacob 2 2021 Sums and convolutions of \(K\)-bonacci and \(K\)-Lucas numbers. Zbl 1470.11025 Dresden, Greg; Wang, Yichen 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 ...and 1037 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,770 Authors 36 Luca, Florian 27 Miller, Steven J. 26 Belbachir, Hacene 26 Komatsu, Takao 24 Shallit, Jeffrey Outlaw 22 Ramírez, José Luis 20 Grynkiewicz, David J. 20 Qi, Feng 19 Gao, Weidong 19 Geroldinger, Alfred 19 Kong, Derong 19 Mahadeva Naika, Megadahalli Sidda 19 Pelantová, Edita 19 Steiner, Wolfgang 18 Masáková, Zuzana 18 Sellers, James Allen 18 Thuswaldner, Jörg Maximilian 17 Pomerance, Carl Bernard 17 Shparlinski, Igor E. 17 Yuan, Pingzhi 16 Mansour, Toufik 16 Sun, Zhi-Wei 15 Bényi, Beáta 15 Berthé, Valérie 15 Moree, Pieter 15 O’Neill, Christopher 14 Axler, Christian 14 Komornik, Vilmos 14 Nowakowski, Richard Joseph 14 Schmid, Wolfgang Alexander 14 Shattuck, Mark A. 13 Adhikari, Sukumar Das 13 Chen, Yonggao 13 Liu, Wenan 13 Pollack, Paul 13 Serbenyuk, Symon Oleksandrovych 13 Tripathi, Amitabha 12 Agoh, Takashi 12 Chu, Hùng Việt 12 Dilcher, Karl 12 Guo, Bai-Ni 12 Iosevich, Alex 12 Larsson, Urban 12 Mező, István 12 Nathanson, Melvyn Bernard 12 Prodinger, Helmut 12 Sagan, Bruce Eli 12 Tan, Elif 12 Tang, Min 12 Tóth, László 11 Baker, Simon 11 Chu, Wenchang 11 Goy, Taras P. 11 Li, Yuanlin 11 Spiegelhofer, Lukas 10 Baglini, Lorenzo Luperi 10 Batir, Necdet 10 Boussayoud, Ali 10 Chern, Shane 10 Gómez, Carlos Alexis 10 Lengyel, Tamás 10 Lichtman, Jared Duker 10 Lin, Bernard L. S. 10 McNew, Nathan 10 Omur, Nese 10 Sanna, Carlo 10 Shkredov, Il’ya Dmitrievich 10 Solé, Patrick 10 Tauraso, Roberto 10 Yamada, Tomohiro 10 Zhong, Qinghai 9 Allouche, Jean-Paul Simon 9 Barequet, Gill 9 Bravo, Jhon Jairo 9 Gotti, Felix 9 Jones, Lenny K. 9 Kargin, Levent 9 Koparal, Sibel 9 Mihoubi, Miloud 9 Montejano, Amanda 9 Palsson, Eyvindur Ari 9 Pandey, Ram Krishna 9 Pinner, Christopher G. 9 Santos, Carlos P. 9 Schiffler, Ralf 9 Serra, Oriol 9 Sha, Min 9 Soykan, Yüksel 9 Tao, Terence 9 Wang, Liuquan 9 Yang, Quanhui 9 Young, Paul Thomas 8 Akiyama, Shigeki 8 Barman, Rupam 8 Borwein, Jonathan Michael 8 Charlier, Emilie 8 Chen, Shiqiang 8 da Silva, Robson 8 Flórez, Rigoberto 8 Harishkumar, Thippeswamy ...and 3,670 more Authors all top 5 Cited in 430 Journals 322 Integers 214 Journal of Number Theory 124 Discrete Mathematics 122 The Ramanujan Journal 107 International Journal of Number Theory 85 Journal of Integer Sequences 78 The Electronic Journal of Combinatorics 74 Theoretical Computer Science 61 European Journal of Combinatorics 59 Journal of Combinatorial Theory. 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Serie A: Matemáticas. RACSAM 12 RAIRO. Theoretical Informatics and Applications 11 Communications in Algebra 11 Mathematical Proceedings of the Cambridge Philosophical Society 11 Bulletin of the London Mathematical Society 11 The Fibonacci Quarterly 11 Journal of Pure and Applied Algebra 11 Mathematica Slovaca 11 Quaestiones Mathematicae 11 Journal of the Ramanujan Mathematical Society 11 Journal of Difference Equations and Applications 10 Czechoslovak Mathematical Journal 10 Experimental Mathematics 10 Séminaire Lotharingien de Combinatoire 10 Cryptography and Communications 10 Afrika Matematika 9 Journal of Symbolic Computation 9 Designs, Codes and Cryptography 9 Aequationes Mathematicae 9 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 9 Advances in Difference Equations 8 Information Processing Letters 8 Lithuanian Mathematical Journal 8 Results in Mathematics 8 Combinatorica 8 International Journal of Foundations of Computer Science 8 Online Journal of Analytic Combinatorics 8 International Journal of Advances in Applied Mathematics and Mechanics 8 Enumerative Combinatorics and Applications 7 Mathematical Notes 7 Mathematics Magazine 7 Colloquium Mathematicum 7 International Journal of Algebra and Computation 7 The Journal of Analysis 7 Discrete and Continuous Dynamical Systems 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 Applicable Analysis and Discrete Mathematics 7 Journal of Applied Mathematics & Informatics 7 Communications in Mathematics 7 Moscow Journal of Combinatorics and Number Theory 7 Palestine Journal of Mathematics 7 European Journal of Mathematics ...and 330 more Journals all top 5 Cited in 52 Fields 2,569 Number theory (11-XX) 1,199 Combinatorics (05-XX) 237 Group theory and generalizations (20-XX) 236 Computer science (68-XX) 170 Dynamical systems and ergodic theory (37-XX) 167 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 127 Special functions (33-XX) 112 Commutative algebra (13-XX) 99 Linear and multilinear algebra; matrix theory (15-XX) 94 Measure and integration (28-XX) 94 Convex and discrete geometry (52-XX) 65 Information and communication theory, circuits (94-XX) 63 Probability theory and stochastic processes (60-XX) 54 Algebraic geometry (14-XX) 50 Real functions (26-XX) 43 Order, lattices, ordered algebraic structures (06-XX) 40 Functions of a complex variable (30-XX) 32 Numerical analysis (65-XX) 30 Mathematical logic and foundations (03-XX) 29 Geometry (51-XX) 28 Field theory and polynomials (12-XX) 26 Associative rings and algebras (16-XX) 25 Harmonic analysis on Euclidean spaces (42-XX) 20 Topological groups, Lie groups (22-XX) 19 Sequences, series, summability (40-XX) 17 Difference and functional equations (39-XX) 16 Approximations and expansions (41-XX) 16 General topology (54-XX) 16 Operations research, mathematical programming (90-XX) 13 Abstract harmonic analysis (43-XX) 13 Quantum theory (81-XX) 11 Manifolds and cell complexes (57-XX) 10 Ordinary differential equations (34-XX) 10 Statistics (62-XX) 8 Nonassociative rings and algebras (17-XX) 8 Operator theory (47-XX) 8 Algebraic topology (55-XX) 8 Statistical mechanics, structure of matter (82-XX) 8 Mathematics education (97-XX) 7 Category theory; homological algebra (18-XX) 6 General and overarching topics; collections (00-XX) 6 History and biography (01-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