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 Allouche, Jean-Paul Simon 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 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 Iannucci, Douglas E. 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 ...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 1,013 Publications have been cited 3,699 times in 2,891 Documents Cited by ▼ Year ▼ Artin’s primitive root conjecture – a survey. Zbl 1271.11002Moree, Pieter 59 2012 A new generalization of Fibonacci sequence & extended Binet’s formula. Zbl 1248.11009Edson, Marcia; Yayenie, Omer 45 2009 The combinatorics of frieze patterns and Markoff numbers. Zbl 1435.05018Propp, James 39 2020 Beta-expansions with negative bases. Zbl 1191.11005Ito, Shunji; Sadahiro, Taizo 37 2009 Tilings associated with beta-numeration and substitutions. Zbl 1139.37008Berthé, Valérie; Siegel, Anne 37 2005 Generalized golden ratios over integer alphabets. Zbl 1285.11049Baker, Simon 37 2014 Expansions in noninteger bases. Zbl 1301.11008Komornik, Vilmos 35 2011 A combinatorial approach to hyperharmonic numbers. Zbl 1128.11309Benjamin, Arthur T.; Gaebler, David; Gaebler, Robert 34 2003 Davenport constant with weights and some related questions. Zbl 1107.11018Adhikari, Sukumar Das; Rath, Purusottam 33 2006 Divisibility properties of the 5-regular and 12-regular partition functions. Zbl 1232.11106Calkin, Neil; Drake, Nate; James, Kevin; Law, Shirley; Lee, Philip; Penniston, David; Radder, Jeanne 33 2008 A combinatorial interpretation of the poly-Bernoulli numbers and two Fermat analogues. Zbl 1165.11022Brewbaker, Chad 32 2008 Sets of lengths do not characterize numerical monoids. Zbl 1139.20056Amos, Jeff; Chapman, S. T.; Hine, Natalie; Paixão, João 30 2007 An infinite family of overpartition congruence modulo 12. Zbl 1088.11074Hirschhorn, Michael D.; Sellers, James A. 28 2005 Partitions of natural numbers and their representation functions. Zbl 1135.11305Sándor, Csaba 26 2004 On \(p,q\)-binomial coefficients. Zbl 1210.05007Corcino, Roberto B. 25 2008 The overpartition function modulo 128. Zbl 1210.11108Kim, Byungchan 21 2008 On short zero-sum subsequences. II. Zbl 1201.11030Gao, W. D.; Hou, Q. H.; Schmid, W. A.; Thangadurai, R. 19 2007 Zero sums in finite cyclic groups. Zbl 1012.11017Gao, W. D. 19 2000 Sums of reciprocals of the central binomial coefficients. Zbl 1106.05003Sprugnoli, Renzo 18 2006 Higher correlations of divisor sums related to primes. I: Triple correlations. Zbl 1118.11039Goldston, D. A.; Yıldırım, C. Y. 18 2003 Sets with more sums than differences. Zbl 1107.11017Nathanson, Melvyn B. 17 2007 Linear recurrent sequences and powers of a square matrix. Zbl 1122.11008Belbachir, Hacène; Bencherif, Farid 17 2006 Supercongruences for a truncated hypergeometric series. Zbl 1301.11020Tauraso, Roberto 17 2012 Representation of real numbers by the alternating Cantor series. Zbl 1412.11014Serbenyuk, Symon 17 2017 On the sum of reciprocal generalized Fibonacci numbers. Zbl 1233.11019Holliday, Sarah H.; Komatsu, Takao 16 2011 On a conjecture of Hamidoune for subsequence sums. Zbl 1098.11019Grynkiewicz, David J. 16 2005 Integer sets with identical representation functions. Zbl 1404.11013Chen, Yong-Gao; Lev, Vsevolod F. 16 2016 Minimal zero sequences of finite cyclic groups. Zbl 1083.11015Ponomarenko, Vadim 15 2004 A multivariate arithmetic function of combinatorial and topological significance. Zbl 1230.11007Liskovets, Valery A. 15 2010 Remarks on the Pólya-Vinogradov inequality. Zbl 1278.11080Pomerance, Carl 14 2011 Quadratic forms and four partition functions modulo 3. Zbl 1219.11155Lovejoy, Jeremy; Osburn, Robert 14 2011 Taming the wild in impartial combinatorial games. Zbl 1092.91012Plambeck, Thane E. 14 2005 \(K\)-distance sets, Falconer conjecture, and discrete analogs. Zbl 1139.28002Iosevich, A.; Łaba, I. 14 2005 Expansions in non-integer bases: lower order revisited. Zbl 1368.11010Baker, Simon; Sidorov, Nikita 14 2014 Two explicit formulas of the Schröder numbers. Zbl 1351.05021Qi, Feng; Shi, Xiao-Ting; Guo, Bai-Ni 14 2016 Combinatorial properties of poly-Bernoulli relatives. Zbl 1412.11034Bényi, Beáta; Hajnal, Péter 14 2017 Generalized Davenport-Schinzel sequences: Results, problems, and applications. Zbl 1004.05004Klazar, Martin 13 2002 The square of the Fermat quotient. Zbl 1083.11005Granville, Andrew 13 2004 An application of graph pebbling to zero-sum sequences in abelian groups. Zbl 1082.11013Elledge, Shawn; Hurlbert, Glenn H. 13 2005 Combinatorial interpretations of binomial coefficient analogues related to Lucas sequences. Zbl 1227.11041Sagan, Bruce E.; Savage, Carla D. 13 2010 Partitions with designated summands in which all parts are odd. Zbl 1386.11109Baruah, Nayandeep Deka; Ojah, Kanan Kumari 13 2015 Counting polyominoes on twisted cylinders. Zbl 1106.05026Barequet, Gill; Moffie, Micha; Ribó, Ares; Rote, Günter 12 2006 Parry expansions of polynomial sequences. Zbl 1107.11307Steiner, Wolfgang 12 2002 Degrees of streams. Zbl 1274.68157Endrullis, Jörg; Hendriks, Dimitri; Klop, Jan Willem 12 2011 Polynomials related to harmonic numbers and evaluation of harmonic number series. I. Zbl 1301.11033Dil, Ayhan; Kurt, Veli 12 2012 Multiple zeta values and Rota-Baxter algebras. Zbl 1173.11048Ebrahimi-Fard, Kurusch; Guo, Li 12 2008 Sum-product estimates applied to Waring’s problem mod \(p\). Zbl 1205.11108Cochrane, Todd; Pinner, Christopher 12 2008 Primitive prime divisors in polynomial arithmetic dynamics. Zbl 1165.11028Rice, Brian 12 2007 Congruences for generalized Frobenius partitions with an arbitrarily large number of colors. Zbl 1284.11136Garvan, Frank G.; Sellers, James A. 12 2014 Abelian complexity of fixed point of morphism \(0 \mapsto 012, 1 \mapsto 02, 2 \mapsto 1\). Zbl 1285.68128Blanchet-Sadri, F.; Currie, James D.; Rampersad, Narad; Fox, Nathan 12 2014 Supersaturation in the Boolean lattice. Zbl 1316.05119Dove, Andrew P.; Griggs, Jerrold R.; Kang, Ross J.; Sereni, Jean-Sébastien 12 2014 Human proofs of identities by Osburn and Schneider. Zbl 1162.05004Prodinger, Helmut 12 2008 On the intersections of Fibonacci, Pell, and Lucas numbers. Zbl 1228.11018Alekseyev, Max A. 11 2011 On 2-adic orders of Stirling numbers of the second kind. Zbl 1093.11015De Wannemacker, Stefan 11 2005 Generalizations of some zero-sum theorems. Zbl 1202.11018Adhikari, Sukumar Das; David, Chantal; Jiménez Urroz, Jorge 11 2008 Recurrence formulae for multi-poly-Bernoulli numbers. Zbl 1148.11010Hamahata, Y.; Masubuchi, H. 11 2007 Some applications of symmetric functions. Zbl 1330.05160Boussayoud, Ali; Abderrezzak, Abdelhamid; Kerada, Mohamed 10 2015 An upper bound for odd perfect numbers. Zbl 1085.11003Nielsen, Pace P. 10 2003 The Ramsey numbers of large cycles versus small wheels. Zbl 1061.05063Surahmat; Baskoro, E. T.; Broersma, H. J. 10 2004 Nim restrictions. Zbl 1081.91005Albert, M. H.; Nowakowski, R. J. 10 2004 On zero-sum sequences in \(\mathbb Z/n \mathbb Z \oplus \mathbb Z/n \mathbb Z\). Zbl 1078.11010Gao, Weidong; Geroldinger, Alfred 10 2003 On elementary lower bounds for the partition function. Zbl 1078.11060Maróti, Attila 10 2003 An introduction to clobber. Zbl 1139.91013Albert, Michael H.; Grossman, J. P.; Nowakowski, Richard J.; Wolfe, David 10 2005 Multidimensional Euclidean algorithms, numeration and substitutions. Zbl 1273.11014Berthé, Valerie 10 2011 A note on partitions of natural numbers and their representation functions. Zbl 1283.11025Yu, Wen; Tang, Min 10 2012 The Frobenius number of geometric sequences. Zbl 1210.11038Ong, Darren C.; Ponomarenko, Vadim 10 2008 Optimal primitive sets with restricted primes. Zbl 1285.11021Banks, William D.; Martin, Greg 10 2013 A family of Fibonacci-like conditional sequences. Zbl 1329.11017Panario, Daniel; Sahin, Murat; Wang, Qiang 10 2013 Arithmetic structures in random sets. Zbl 1195.11037Hamel, Mariah; Łaba, Izabella 10 2008 Short effective intervals containing primes. Zbl 1379.11081Kadiri, Habiba; Lumley, Allysa 10 2014 New estimates for some functions defined over primes. Zbl 1440.11184Axler, Christian 10 2018 On the number of factorizations of an integer. Zbl 1245.11100Balasubramanian, Ramachandran; Luca, Florian 9 2011 A generalization of the Smarandache function to several variables. Zbl 1114.11003Hungerbühler, Norbert; Specker, Ernst 9 2006 On the Frobenius number of Fibonacci numerical semigroups. Zbl 1177.11017Marín, J. M.; Ramírez Alfonsín, J. L.; Revuelta, M. P. 9 2007 Frobenius numbers by lattice point enumeration. Zbl 1229.11049Einstein, David; Lichtblau, Daniel; Strzebonski, Adam; Wagon, Stan 9 2007 Poset game periodicity. Zbl 1128.91310Byrnes, Steven 9 2003 On the problem of uniqueness for the maximum Stirling number(s) of the second kind. Zbl 1008.11006Canfield, E. Rodney; Pomerance, Carl 9 2002 A characterization of minimal zero-sequences of index one in finite cyclic groups. Zbl 1134.11306Chapman, Scott T.; Smith, William W. 9 2005 Enumeration schemes for words avoiding patterns with repeated letters. Zbl 1210.05005Pudwell, Lara 9 2008 The Fourier transform of functions of the greatest common divisor. Zbl 1209.11010Schramm, Wolfgang 9 2008 Simplification of partizan games in misère play. Zbl 1165.91008Mesdal, G. A.; Ottaway, P. 9 2007 Integers without large prime factors: from Ramanujan to de Bruijn. Zbl 1335.11076Moree, Pieter 9 2014 Three notes on Ser’s and Hasse’s representations for the zeta-functions. Zbl 1453.11106Blagouchine, Iaroslav V. 9 2018 On the directions determined by Cartesian products and the clique number of generalized Paley graphs. Zbl 1470.05140Yip, Chi Hoi 8 2021 Lecture hall partitions and the wreath products \(C_{k} \wr S_{n}\). Zbl 1333.05032Pensyl, Thomas W.; Savage, Carla D. 8 2013 Waring’s number in a finite field. Zbl 1237.11040Cipra, James Arthur 8 2009 The \(k\)-periodic Fibonacci sequence and an extended Binet’s formula. Zbl 1239.11017Edson, Marcia; Lewis, Scott; Yayenie, Omer 8 2011 Reducing the Erdős-Moser equation \(1^n + 2^n + \dots + k^n = (k + 1)^n\) modulo \(k\) and \(k^2\). Zbl 1233.11038Sondow, Jonathan; MacMillan, Kieren 8 2011 Log-sine evaluations of Mahler measures. II. Zbl 1266.33022Borwein, David; Borwein, Jonathan M.; Straub, Armin; Wan, James 8 2012 Computation of \(q\)-partial fractions. Zbl 1165.11308Munagi, Augustine O. 8 2007 On ternary inclusion-exclusion polynomials. Zbl 1213.11056Bachman, Gennady 8 2010 Squares and difference sets in finite fields. Zbl 1284.11030Bachoc, C.; Matolcsi, M.; Ruzsa, I. Z. 8 2013 On the order of points on curves over finite fields. Zbl 1136.11042Voloch, José Felipe 8 2007 The 2-adic order of some generalized Fibonacci numbers. Zbl 1377.11021Lengyel, Tamás; Marques, Diego 8 2017 Long minimal zero-sum sequences in the groups \(C_{2}^{r-1} \oplus C_{2k}\). Zbl 1308.11028Chen, Fang; Savchev, Svetoslav 8 2014 Partition regularity of nonlinear polynomials: a nonstandard approach. Zbl 1297.05234Baglini, Lorenzo Luperi 8 2014 Alternative proofs on the 2-adic order of Stirling numbers of the second kind. Zbl 1241.11020Lengyel, Tamás 8 2010 Every natural number is the sum of forty-nine palindromes. Zbl 1387.11008Banks, William D. 8 2016 New bounds for the prime counting function. Zbl 1414.11107Axler, Christian 8 2016 An infinite family of congruences for \(\ell \)-regular overpartitions. Zbl 1415.11138Alanazi, Abdulaziz M.; Munagi, Augustine O.; Sellers, James A. 8 2016 On a relation between Schreier-type sets and a modification of Turán graphs. Zbl 1514.05080Chu, Hùng Việt 1 2023 Two infinite families of elliptic curves with rank greater than one. Zbl 1498.11145Hatley, Jeffrey; Stack, Jason 3 2022 Coprime matchings. Zbl 1501.11042Pomerance, Carl 3 2022 Coprime permutations. Zbl 1506.05007Pomerance, Carl 2 2022 Integer circulant determinants of order 15. Zbl 1494.11087Paudel, Bishnu; Pinner, Chris 2 2022 Distributions of Fourier coefficients of cusp forms over arithmetic progressions. Zbl 1493.11087Zou, Aiyue; Lao, Huixue; Wei, Linli 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 1509.11046Walsh, P. G. 2 2022 Polygonal balancing numbers. I. Zbl 1493.11031Bartz, Jeremiah; Dearden, Bruce; Iiams, Joel 2 2022 Primes in floor function sets. Zbl 1504.11095Heyman, Randell 2 2022 On denseness of certain direction and generalized direction sets. Zbl 1507.11012Antony, Deepa; Barman, Rupam; Chattopadhyay, Jaitra 1 2022 Some summation and transformation formulas from inversion techniques. Zbl 1504.05025Wei, Chuanan; Wei, Yi; Li, Chun 1 2022 On the two-color Rado number for \(\sum_{i=1}^{m-2} x_i +ax_{m-1} -x_m =c\). Zbl 1502.05157Dwivedi, Srashti; Tripathi, Amitabha 1 2022 Unfair distributions counted by the generalized Stirling numbers. Zbl 1501.11040Bényi, Beáta; Nkonkobe, Sithembele; Shattuck, Mark 1 2022 Multiplicative functions \(K\)-additive on generalized pentagonal numbers. Zbl 1497.11015Hasanalizade, Elchin 1 2022 Inverse problems related to some weighted zero-sum constants for cyclic groups. Zbl 1494.11030Adhikari, Sukumar Das; Hedge, Shruti; Molla, Md Ibrahim; Sarkar, Subha 1 2022 Sequences in partitions. Zbl 1494.05007Andrews, George E.; Bhattacharjee, Sreerupa; Dastidar, Manosij G. 1 2022 Fermat numbers in Narayana’s cows sequence. Zbl 1493.11032Bhoi, 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 1498.11210Herden, 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 1509.20096Guhl, Matthew; Juarez, Jazmine; Ponomarenko, Vadim; Rechkin, Rebecca; Singhal, Deepesh 1 2022 On a family of cubic Thue equations involving Fibonacci and Lucas numbers. Zbl 1501.11049Hilgart, Tobias; Vukusic, Ingrid; Ziegler, Volker 1 2022 Equivalence classes of skew Dyck paths modulo some patterns. Zbl 1498.05011Baril, Jean-Luc; Ramírez, José Luis; Simbaqueba, Lina Maria 1 2022 On primary Carmichael numbers. Zbl 1495.11008Kellner, Bernd C. 1 2022 Combinatorial formulas for arithmetic density. Zbl 1502.11015Schneider, Robert; Sills, Andrew V. 1 2022 On the 2-adic valuation of generalized Fibonacci sequences. Zbl 1497.11047Young, Paul Thomas 1 2022 Permanents of \(3 \times 3\) invertible matrices modulo \(n\). Zbl 07569244Bohra, Ayush; Reddy, A. Satyanarayana 1 2022 On the directions determined by Cartesian products and the clique number of generalized Paley graphs. Zbl 1470.05140Yip, Chi Hoi 8 2021 Robin’s inequality for 20-free integers. Zbl 1468.11205Morrill, Thomas; Platt, David John 4 2021 Abelian complexity and synchronization. Zbl 1475.11041Shallit, Jeffrey 4 2021 A new property of Appell sequences and its application. Zbl 1483.11035Agoh, Takashi 4 2021 On Carmichael and polygonal numbers, Bernoulli polynomials, and sums of base-\(p\) digits. Zbl 1479.11028Kellner, Bernd C.; Sondow, Jonathan 3 2021 Hausdorff dimension of sets of numbers with large Lüroth elements. Zbl 1469.11250Arroyo, Aubin; González Robert, Gerardo 3 2021 Weighted partitions and generalized \(r\)-Lah numbers. Zbl 1472.11081Belbachir, Hacène; Belkhir, Amine; Bousbaa, Imad-Eddine 3 2021 Newton sequences and Dirichlet convolution. Zbl 1485.11009Wójcik, Klaudiusz 2 2021 Infinite series containing generalized \(q\)-harmonic numbers. Zbl 1458.05032Komatsu, Takao; Li, Rusen 2 2021 Balancing and Lucas-balancing numbers expressible as sums of two repdigits. Zbl 1454.11040Rayaguru, Sai Gopal; Panda, Gopal Krishna 2 2021 Arithmetic subsequences in a random ordering of an additive set. Zbl 1490.11017Goh, Marcel K.; Zhao, Rosie Y. 2 2021 Geometric patterns in the determinant Hosoya triangle. Zbl 1490.11019Blair, Matthew; Flórez, Rigoberto; Mukherjee, Antara 2 2021 Misère domineering on \(2 \times n\) boards. Zbl 1490.91034Dwyer, Aaron; Milley, Rebecca; Willette, Michael 2 2021 Impartial games with entailing moves. Zbl 1490.91041Larsson, Urban; Nowakowski, Richard J.; Santos, Carlos P. 2 2021 Lucas congruences for the Apéry numbers modulo \(p^2\). Zbl 1470.11006Rowland, Eric; Yassawi, Reem; Krattenthaler, Christian 1 2021 Quotients of Hurwitz primes. Zbl 1470.11013Pan, Minghao; Zhang, Wentao 1 2021 Dirichlet series with trigonometric coefficients. Zbl 1469.11351Franke, Johann 1 2021 A recurring pattern in natural numbers of a certain property. Zbl 1471.11020Tsai, Daniel 1 2021 A sextic diophantine chain and a related Mordell curve. Zbl 1470.11051Choudhry, Ajai; Shamsi Zargar, Arman 1 2021 Cyclotomic points and algebraic properties of polygon diagonals. Zbl 1478.11132Grubb, Thomas; Wolird, Christian 1 2021 Uniqueness of optimal point sets determining two distinct triangles. Zbl 1479.52025Brenner, Hazel N.; Depret-Guillaume, James S.; Palsson, Eyvindur A.; Senger, Steven 1 2021 From a Hungary-Israel contest problem. Zbl 1470.11038Chen, Fang 1 2021 Discrete correlations of order 2 of generalized Golay-Shapiro sequences: a combinatorial approach. Zbl 1470.11043Marcovici, Irène; Stoll, Thomas; Tahay, Pierre-Adrien 1 2021 The abelian complexity of infinite words and the Frobenius problem. Zbl 1477.68252Kaye, Ian; Narad, Rampersad 1 2021 Sums and convolutions of \(K\)-bonacci and \(K\)-Lucas numbers. Zbl 1470.11025Dresden, Greg; Wang, Yichen 1 2021 Explicit expressions for a certain subset of Appell polynomials: a probabilistic perspective. Zbl 1476.11036Adell, José A.; Lekuona, Alberto 1 2021 A generalization of Selfridge’s question. Zbl 1479.11013Prasad, Devendra 1 2021 On the Frobenius conjecture. Zbl 1487.11031Lapointe, Mélodie; Reutenauer, Christophe 1 2021 A combinatorial viewpoint on preserving notions of largeness and an abstract Rado theorem. Zbl 1477.05183Goswami, Sayan; Jana, Subhajit 1 2021 Linear recurrences for Bernoulli polynomials involving different kinds of sums. Zbl 1477.11040Agoh, Takashi 1 2021 On the total number of prime factors of an odd perfect number. Zbl 1487.11007Zelinsky, Joshua 1 2021 A formula for the number of overpartitions of \(n\) in terms of the number of representations of \(n\) as a sum of \(r\) squares. Zbl 1483.11225Jha, Sumit Kumar 1 2021 Parity palindrome compositions. Zbl 1473.05019Andrews, George E.; Simay, Greg 1 2021 Congruences for fractional partition functions. Zbl 1470.11264Choi, Yunseo 1 2021 Some congruences for \((s,t)\)-regular bipartitions modulo \(t\). Zbl 1462.11088Kathiravan, T.; Srilakshmi, K. 1 2021 Walking to infinity along Gaussian lines. Zbl 1454.11191Magness, Elsa; Nugent, Brian; Robertson, Leanne 1 2021 Representation numbers of spinor regular ternary quadratic forms. Zbl 1506.11056Aygin, Zafer Selcuk; Doyle, Greg; Münkel, Florian; Pehlivan, Lerna; Williams, Kenneth S. 1 2021 Three imprimitive character sums. Zbl 1492.11034Isaacson, Brad 1 2021 Abundance of arithmetic progressions in some combinatorially rich sets by elementary means. Zbl 1495.11017Debnath, Pintu; Goswami, Sayan 1 2021 On (yet another) family of Stirling polynomials of the second kind. Zbl 1494.11022Cobo, Helena 1 2021 WZ proofs for lemniscate-like constant evaluations. Zbl 07497499Campbell, John Maxwell 1 2021 Lucas-Lehmer primality tests for certain prime curios. Zbl 1493.11156Roettger, E. L.; Williams, H. C. 1 2021 Finite sums of consecutive terms of a second order linear recurrence relation. Zbl 1490.11021Cooper, Curtis 1 2021 Higher degree Davenport constants over finite commutative rings. Zbl 1496.11015Caro, Yair; Girard, Benjamin; Schmitt, John R. 1 2021 Frobenius numbers and automatic sequences. Zbl 1490.11036Shallit, Jeffrey 1 2021 Multivariate difference Gončarov polynomials. Zbl 1489.39025Adeniran, Ayomikun; Snider, Lauren; Yan, Catherine 1 2021 On an inequality in a 1970 paper of R. L. Graham. Zbl 1500.11007Allouche, J.-P. 1 2021 On Levine’s notorious hat puzzle. Zbl 1490.91045Buhler, Joe; Freiling, Chris; Graham, Ron; Kariv, Jonathan; Roche, James R.; Tiefenbruck, Mark; van Alten, Clint; Yeroshkin, Dmytro 1 2021 Consecutive primes which are widely digitally delicate. Zbl 1498.11028Filaseta, Michael; Juillerat, Jacob 1 2021 Mertens’ prime product formula, dissected. Zbl 1496.11123Lichtman, Jared Duker 1 2021 Curious convergent series of integers with missing digits. Zbl 1498.11030Nathanson, Melvyn B. 1 2021 A note on Carmichael numbers in residue classes. Zbl 1507.11086Pomerance, Carl 1 2021 Tilted corners in integer grids. Zbl 07497817Shkredov, I. D.; Solymosi, J. 1 2021 Relator games on groups. Zbl 1490.91035Gates, Zachary; Kelvey, Robert 1 2021 Recursive comparison tests for dicot and dead-ending games under misère play. Zbl 1490.91040Larsson, Urban; Milley, Rebecca; Nowakowski, Richard; Renault, Gabriel; Santos, Carlos 1 2021 The combinatorics of frieze patterns and Markoff numbers. Zbl 1435.05018Propp, James 39 2020 Combinatorial identities involving harmonic numbers. Zbl 1439.05032Batır, Necdet 6 2020 Constructive methods in Gallai-Ramsey theory for hypergraphs. Zbl 1439.05149Budden, Mark; Hiller, Josh; Penland, Andrew 5 2020 Generalizations of a curious family of MSTD sets hidden by interior blocks. Zbl 1434.11029Chu, Hùng Việt; Luntzlara, Noah; Miller, Steven J.; Shao, Lily 5 2020 The product of parts or “norm” of a partition. Zbl 1458.11144Schneider, Robert; Sills, Andrew V. 5 2020 A note on incomplete Leonardo numbers. Zbl 1481.11018Catarino, P.; Borges, A. 5 2020 On the integrality of factorial ratios and mirror maps. Zbl 1432.11068Adolphson, Alan; Sperber, Steven 4 2020 Generalized Euler-Genocchi polynomials and Lucas numbers. Zbl 1459.11059Frontczak, Robert; Tomovski, Živorad 4 2020 Congruence properties for the trinomial coefficients. Zbl 1458.11044Apagodu, Moa; Liu, Ji-Cai 3 2020 Monochromatic sums equal to products near zero. Zbl 1459.05331Patra, Sourav Kanti; Shaikh, Md. Moid 3 2020 Some congruences for \((2,5)\)-regular cubic partition pairs. Zbl 1432.11148Naika, M. S. Mahadeva; Harishkumar, T.; Veeranna, Y. 2 2020 Index divisibility in the orbit of \(0\) for integral polynomials. Zbl 1475.11026Gassert, T. Alden; Urbanski, Michael T. 2 2020 On bivariate and trivariate Miki-type identities for Bernoulli polynomials. Zbl 1434.11057Agoh, Takashi 2 2020 New congruences for 3-regular partitions with designated summands. Zbl 1439.11270da Silva, Robson; Sellers, James A. 2 2020 Alternate minimization and doubly stochastic matrices. Zbl 1440.15039Nathanson, Melvyn B. 2 2020 The structure of a sequence with prescribed zero-sum subsequences. Zbl 1465.11049Grynkiewicz, David J.; Wang, Chunlin; Zhao, Kevin 2 2020 Slow \(K\)-Nim. Zbl 1508.91092Gurvich, Vladimir; Heubach, Silvia; Ho, Nhan Bao; Chikin, Nikolay 2 2020 Distribution laws of friable divisors. Zbl 1469.11376Nyandwi, S.; Smati, A. 2 2020 Unitary cyclotomic polynomials. Zbl 1467.11034Moree, Pieter; Tóth, László 2 2020 Arithmetical structures on paths with a doubled edge. Zbl 1459.05286Glass, Darren; Wagner, Joshua 2 2020 ...and 913 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,275 Authors 30 Luca, Florian 24 Miller, Steven J. 20 Belbachir, Hacene 19 Geroldinger, Alfred 19 Komatsu, Takao 18 Grynkiewicz, David J. 18 Kong, Derong 18 Mahadeva Naika, Megadahalli Sidda 17 Gao, Weidong 17 Pelantová, Edita 17 Steiner, Wolfgang 17 Thuswaldner, Jörg Maximilian 17 Yuan, Pingzhi 16 Masáková, Zuzana 16 Ramírez, José Luis 16 Shparlinski, Igor E. 15 Moree, Pieter 15 Pomerance, Carl Bernard 15 Qi, Feng 14 Berthé, Valérie 14 Nowakowski, Richard Joseph 14 Sellers, James Allen 14 Shallit, Jeffrey Outlaw 13 Komornik, Vilmos 13 Mansour, Toufik 13 O’Neill, Christopher 13 Schmid, Wolfgang Alexander 12 Adhikari, Sukumar Das 12 Bényi, Beáta 12 Chen, Yonggao 12 Dilcher, Karl 12 Iosevich, Alex 12 Mező, István 12 Pollack, Paul 12 Sagan, Bruce Eli 12 Tang, Min 11 Agoh, Takashi 11 Axler, Christian 11 Chu, Hùng Việt 11 Liu, Wenan 11 Nathanson, Melvyn Bernard 11 Shattuck, Mark A. 11 Tóth, László 10 Baker, Simon 10 Batir, Necdet 10 Boussayoud, Ali 10 Chern, Shane 10 Larsson, Urban 10 McNew, Nathan 10 Solé, Patrick 10 Sun, Zhi-Wei 10 Tauraso, Roberto 9 Allouche, Jean-Paul Simon 9 Barequet, Gill 9 Chu, Wenchang 9 Gotti, Felix 9 Guo, Bai-Ni 9 Lengyel, Tamás 9 Prodinger, Helmut 9 Schiffler, Ralf 9 Sha, Min 9 Spiegelhofer, Lukas 9 Tan, Elif 9 Tripathi, Amitabha 9 Yang, Quanhui 9 Zhong, Qinghai 8 Akiyama, Shigeki 8 Baglini, Lorenzo Luperi 8 Bravo, Jhon Jairo 8 Charlier, Emilie 8 da Silva, Robson 8 Jones, Lenny K. 8 Kargin, Levent 8 Li, Wenxia 8 Li, Yuanlin 8 Lichtman, Jared Duker 8 Lin, Bernard L. S. 8 Omur, Nese 8 Ordaz, Oscar 8 Pinner, Christopher G. 8 Serbenyuk, Symon Oleksandrovych 8 Serra, Oriol 8 Tao, Terence 8 Wang, Liuquan 8 Young, Paul Thomas 7 Acikgoz, Mehmet 7 Adell, José Antonio 7 Borwein, Jonathan Michael 7 Chapman, Scott Thomas 7 Chen, Shiqiang 7 Endrullis, Jörg 7 Gómez, Carlos Alexis 7 Goy, Taras P. 7 Harishkumar, Thippeswamy 7 Koparal, Sibel 7 Li, Rusen 7 Moll, Victor Hugo 7 Montejano, Amanda 7 Pan, Hao 7 Revuelta, M. Pastora ...and 3,175 more Authors all top 5 Cited in 397 Journals 215 Integers 187 Journal of Number Theory 109 Discrete Mathematics 105 The Ramanujan Journal 91 International Journal of Number Theory 66 Theoretical Computer Science 66 The Electronic Journal of Combinatorics 58 Journal of Integer Sequences 55 Journal of Combinatorial Theory. Series A 55 European Journal of Combinatorics 38 Bulletin of the Australian Mathematical Society 37 Discrete Applied Mathematics 37 Mathematics of Computation 36 Acta Arithmetica 36 Acta Mathematica Hungarica 32 Monatshefte für Mathematik 32 Advances in Applied Mathematics 30 Journal de Théorie des Nombres de Bordeaux 29 Advances in Mathematics 29 Annals of Combinatorics 28 Proceedings of the American Mathematical Society 26 Journal of Mathematical Analysis and Applications 25 Comptes Rendus. Mathématique. Académie des Sciences, Paris 24 Functiones et Approximatio. Commentarii Mathematici 22 Transactions of the American Mathematical Society 20 American Mathematical Monthly 20 Rocky Mountain Journal of Mathematics 20 Applied Mathematics and Computation 20 Indagationes Mathematicae. 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Third Series 11 Journal of Inequalities and Applications 10 Communications in Algebra 10 Archiv der Mathematik 10 Journal of Difference Equations and Applications 10 Séminaire Lotharingien de Combinatoire 10 Afrika Matematika 10 Research in Number Theory 9 Periodica Mathematica Hungarica 9 Mathematica Slovaca 9 Quaestiones Mathematicae 9 Experimental Mathematics 9 Advances in Difference Equations 9 Involve 8 Information Processing Letters 8 Lithuanian Mathematical Journal 8 Journal of Pure and Applied Algebra 8 Journal of Symbolic Computation 8 Journal of the Ramanujan Mathematical Society 8 International Journal of Foundations of Computer Science 8 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 8 Cryptography and Communications 8 RAIRO. Theoretical Informatics and Applications 7 Bulletin of the London Mathematical Society 7 The Fibonacci Quarterly 7 Designs, Codes and Cryptography 7 Aequationes Mathematicae 7 Bulletin of the Brazilian Mathematical Society. New Series 7 Hacettepe Journal of Mathematics and Statistics 7 Journal of Algebra and its Applications 7 Mediterranean Journal of Mathematics 7 Contributions to Discrete Mathematics 7 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 7 European Journal of Mathematics 7 Open Mathematics 7 AIMS Mathematics 6 Mathematical Notes 6 Colloquium Mathematicum 6 Mathematische Zeitschrift 6 Results in Mathematics 6 Discrete & Computational Geometry 6 Forum Mathematicum 6 International Journal of Algebra and Computation 6 Filomat 6 Journal of Discrete Mathematical Sciences & Cryptography 6 Online Journal of Analytic Combinatorics 6 Applicable Analysis and Discrete Mathematics 5 Ukrainian Mathematical Journal 5 Chaos, Solitons and Fractals 5 Mathematics Magazine 5 Czechoslovak Mathematical Journal ...and 297 more Journals all top 5 Cited in 52 Fields 2,093 Number theory (11-XX) 1,006 Combinatorics (05-XX) 203 Group theory and generalizations (20-XX) 194 Computer science (68-XX) 150 Dynamical systems and ergodic theory (37-XX) 143 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 99 Special functions (33-XX) 95 Commutative algebra (13-XX) 87 Measure and integration (28-XX) 81 Linear and multilinear algebra; matrix theory (15-XX) 80 Convex and discrete geometry (52-XX) 51 Information and communication theory, circuits (94-XX) 48 Probability theory and stochastic processes (60-XX) 43 Algebraic geometry (14-XX) 37 Order, lattices, ordered algebraic structures (06-XX) 36 Real functions (26-XX) 31 Functions of a complex variable (30-XX) 29 Numerical analysis (65-XX) 27 Field theory and polynomials (12-XX) 26 Associative rings and algebras (16-XX) 25 Mathematical logic and foundations (03-XX) 22 Geometry (51-XX) 21 Harmonic analysis on Euclidean spaces (42-XX) 15 Sequences, series, summability (40-XX) 15 Approximations and expansions (41-XX) 14 Topological groups, Lie groups (22-XX) 14 Operations research, mathematical programming (90-XX) 11 Difference and functional equations (39-XX) 11 Abstract harmonic analysis (43-XX) 10 General topology (54-XX) 10 Quantum theory (81-XX) 9 Ordinary differential equations (34-XX) 9 Manifolds and cell complexes (57-XX) 8 Nonassociative rings and algebras (17-XX) 8 Algebraic topology (55-XX) 7 Operator theory (47-XX) 7 Statistics (62-XX) 7 Statistical mechanics, structure of matter (82-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 History and biography (01-XX) 3 General algebraic systems (08-XX) 3 \(K\)-theory (19-XX) 3 Potential theory (31-XX) 2 Partial differential equations (35-XX) 2 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) Citations by Year