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Integers

Electronic 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.html
http://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

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 1,912 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

Citations contained in zbMATH Open

1,085 Publications have been cited 4,277 times in 3,304 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
54
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
42
2009
Generalized golden ratios over integer alphabets. Zbl 1285.11049
Baker, Simon
39
2014
Tilings associated with beta-numeration and substitutions. Zbl 1139.37008
Berthé, Valérie; Siegel, Anne
38
2005
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
Davenport constant with weights and some related questions. Zbl 1107.11018
Adhikari, Sukumar Das; Rath, Purusottam
35
2006
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.
32
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
30
2004
The overpartition function modulo 128. Zbl 1210.11108
Kim, Byungchan
24
2008
Sums of reciprocals of the central binomial coefficients. Zbl 1106.05003
Sprugnoli, Renzo
24
2006
Zero sums in finite cyclic groups. Zbl 1012.11017
Gao, W. D.
22
2000
On short zero-sum subsequences. II. Zbl 1201.11030
Gao, W. D.; Hou, Q. H.; Schmid, W. A.; Thangadurai, R.
20
2007
Sets with more sums than differences. Zbl 1107.11017
Nathanson, Melvyn B.
20
2007
Representation of real numbers by the alternating Cantor series. Zbl 1412.11014
Serbenyuk, Symon
19
2017
Partitions with designated summands in which all parts are odd. Zbl 1386.11109
Baruah, Nayandeep Deka; Ojah, Kanan Kumari
19
2015
On a conjecture of Hamidoune for subsequence sums. Zbl 1098.11019
Grynkiewicz, David J.
19
2005
On the sum of reciprocal generalized Fibonacci numbers. Zbl 1233.11019
Holliday, Sarah H.; Komatsu, Takao
19
2011
Two explicit formulas of the Schröder numbers. Zbl 1351.05021
Qi, Feng; Shi, Xiao-Ting; Guo, Bai-Ni
18
2016
Integer sets with identical representation functions. Zbl 1404.11013
Chen, Yong-Gao; Lev, Vsevolod F.
18
2016
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
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
Congruences for generalized Frobenius partitions with an arbitrarily large number of colors. Zbl 1284.11136
Garvan, Frank G.; Sellers, James A.
16
2014
Combinatorial properties of poly-Bernoulli relatives. Zbl 1412.11034
Bényi, Beáta; Hajnal, Péter
16
2017
Minimal zero sequences of finite cyclic groups. Zbl 1083.11015
Ponomarenko, Vadim
16
2004
On the intersections of Fibonacci, Pell, and Lucas numbers. Zbl 1228.11018
Alekseyev, Max A.
15
2011
Supersaturation in the Boolean lattice. Zbl 1316.05119
Dove, Andrew P.; Griggs, Jerrold R.; Kang, Ross J.; Sereni, Jean-Sébastien
15
2014
Generalized Davenport-Schinzel sequences: Results, problems, and applications. Zbl 1004.05004
Klazar, Martin
14
2002
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
Combinatorial interpretations of binomial coefficient analogues related to Lucas sequences. Zbl 1227.11041
Sagan, Bruce E.; Savage, Carla D.
14
2010
Quadratic forms and four partition functions modulo 3. Zbl 1219.11155
Lovejoy, Jeremy; Osburn, Robert
14
2011
\(K\)-distance sets, Falconer conjecture, and discrete analogs. Zbl 1139.28002
Iosevich, A.; Łaba, I.
14
2005
Primitive prime divisors in polynomial arithmetic dynamics. Zbl 1165.11028
Rice, Brian
14
2007
Remarks on the Pólya-Vinogradov inequality. Zbl 1278.11080
Pomerance, Carl
14
2011
Expansions in non-integer bases: lower order revisited. Zbl 1368.11010
Baker, Simon; Sidorov, Nikita
14
2014
An application of graph pebbling to zero-sum sequences in abelian groups. Zbl 1082.11013
Elledge, Shawn; Hurlbert, Glenn H.
13
2005
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
New estimates for some functions defined over primes. Zbl 1440.11184
Axler, Christian
12
2018
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 zero-sum sequences in \(\mathbb Z/n \mathbb Z \oplus \mathbb Z/n \mathbb Z\). Zbl 1078.11010
Gao, Weidong; Geroldinger, Alfred
12
2003
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
Multiple zeta values and Rota-Baxter algebras. Zbl 1173.11048
Ebrahimi-Fard, Kurusch; Guo, Li
12
2008
Counting polyominoes on twisted cylinders. Zbl 1106.05026
Barequet, Gill; Moffie, Micha; Ribó, Ares; Rote, Günter
12
2006
Frobenius numbers by lattice point enumeration. Zbl 1229.11049
Einstein, David; Lichtblau, Daniel; Strzebonski, Adam; Wagon, Stan
12
2007
Human proofs of identities by Osburn and Schneider. Zbl 1162.05004
Prodinger, Helmut
12
2008
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
Short effective intervals containing primes. Zbl 1379.11081
Kadiri, Habiba; Lumley, Allysa
11
2014
A note on partitions of natural numbers and their representation functions. Zbl 1283.11025
Yu, Wen; Tang, Min
11
2012
On elementary lower bounds for the partition function. Zbl 1078.11060
Maróti, Attila
11
2003
Every natural number is the sum of forty-nine palindromes. Zbl 1387.11008
Banks, William D.
11
2016
Rainbow Ramsey theory. Zbl 1091.05071
Jungić, Veselin; Nešetřil, Jaroslav; Radoičić, Radoš
11
2005
The Frobenius number of geometric sequences. Zbl 1210.11038
Ong, Darren C.; Ponomarenko, Vadim
11
2008
Recurrence formulae for multi-poly-Bernoulli numbers. Zbl 1148.11010
Hamahata, Y.; Masubuchi, H.
11
2007
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
Nim restrictions. Zbl 1081.91005
Albert, M. H.; Nowakowski, R. J.
11
2004
An upper bound for odd perfect numbers. Zbl 1085.11003
Nielsen, Pace P.
11
2003
Multidimensional Euclidean algorithms, numeration and substitutions. Zbl 1273.11014
Berthé, Valerie
11
2011
On a combinatorial conjecture. Zbl 1241.11021
Cusick, Thomas W.; Li, Yuan; Stănică, Pantelimon
11
2011
Waring’s number in a finite field. Zbl 1237.11040
Cipra, James Arthur
10
2009
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
An introduction to clobber. Zbl 1139.91013
Albert, Michael H.; Grossman, J. P.; Nowakowski, Richard J.; Wolfe, David
10
2005
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
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
Some applications of symmetric functions. Zbl 1330.05160
Boussayoud, Ali; Abderrezzak, Abdelhamid; Kerada, Mohamed
10
2015
On the number of factorizations of an integer. Zbl 1245.11100
Balasubramanian, Ramachandran; Luca, Florian
10
2011
On the directions determined by Cartesian products and the clique number of generalized Paley graphs. Zbl 1470.05140
Yip, Chi Hoi
10
2021
Christoffel words and Markoff triples. Zbl 1245.11042
Reutenauer, Christophe
9
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
9
2009
Some arithmetic properties of overpartition \(k\)-tuples. Zbl 1190.11056
Keister, Derrick M.; Sellers, James A.; Vary, Robert G.
9
2009
Three notes on Ser’s and Hasse’s representations for the zeta-functions. Zbl 1453.11106
Blagouchine, Iaroslav V.
9
2018
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
On the complexity of chooser-picker positional games. Zbl 1242.91023
Csernenszky, András; Martin, Ryan R.; Pluhár, András
9
2012
Congruences for 3-regular partitions with designated summands. Zbl 1401.11136
Mahadeva Naika, M. S.; Gireesh, D. S.
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
A characterization of minimal zero-sequences of index one in finite cyclic groups. Zbl 1134.11306
Chapman, Scott T.; Smith, William W.
9
2005
Enumeration schemes for words avoiding patterns with repeated letters. Zbl 1210.05005
Pudwell, Lara
9
2008
Simplification of partizan games in misère play. Zbl 1165.91008
Mesdal, G. A.; Ottaway, P.
9
2007
The Fourier transform of functions of the greatest common divisor. Zbl 1209.11010
Schramm, Wolfgang
9
2008
A generalization of the Smarandache function to several variables. Zbl 1114.11003
Hungerbühler, Norbert; Specker, Ernst
9
2006
On the Frobenius number of Fibonacci numerical semigroups. Zbl 1177.11017
Marín, J. M.; Ramírez Alfonsín, J. L.; Revuelta, M. P.
9
2007
Monochromatic sums equal to products in \(\mathbb N\). Zbl 1243.05237
Hindman, Neil
9
2011
Squares and difference sets in finite fields. Zbl 1284.11030
Bachoc, C.; Matolcsi, M.; Ruzsa, I. Z.
9
2013
Poset game periodicity. Zbl 1128.91310
Byrnes, Steven
9
2003
The \(k\)-periodic Fibonacci sequence and an extended Binet’s formula. Zbl 1239.11017
Edson, Marcia; Lewis, Scott; Yayenie, Omer
9
2011
On a relation between Schreier-type sets and a modification of Turán graphs. Zbl 1514.05080
Chu, Hùng Việt
2
2023
Pairwise modular multiplicative inverses and Fibonacci numbers. Zbl 1517.11018
Sanna, Carlo
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
On the generalized Leonardo numbers. Zbl 1493.11034
Kuhapatanakul, Kantaphon; Chobsorn, Juthamas
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
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
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
An inequality for the distribution of numbers free of small prime factors. Zbl 1517.11122
Fan, Kai (Steve)
2
2022
On the 2-adic valuation of generalized Fibonacci sequences. Zbl 1497.11047
Young, Paul Thomas
2
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
Linear combinations of Dirichlet series associated with the Thue-Morse sequence. Zbl 1511.11078
Tóth, László
1
2022
Higher degree Erdős-Ginzburg-Ziv constants. Zbl 1507.11021
Caro, Yair; Schmitt, John R.
1
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
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
Combinatorial formulas for arithmetic density. Zbl 1502.11015
Schneider, Robert; Sills, Andrew V.
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 07569244
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
10
2021
Abelian complexity and synchronization. Zbl 1475.11041
Shallit, Jeffrey
5
2021
Robin’s inequality for 20-free integers. Zbl 1468.11205
Morrill, Thomas; Platt, David John
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
Infinite series containing generalized \(q\)-harmonic numbers. Zbl 1458.05032
Komatsu, Takao; Li, Rusen
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
Misère domineering on \(2 \times n\) boards. Zbl 1490.91034
Dwyer, Aaron; Milley, Rebecca; Willette, Michael
2
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
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
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
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
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
Impartial games with entailing moves. Zbl 1490.91041
Larsson, Urban; Nowakowski, Richard J.; Santos, Carlos P.
2
2021
Relator games on groups. Zbl 1490.91035
Gates, Zachary; Kelvey, Robert
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
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
From a Hungary-Israel contest problem. Zbl 1470.11038
Chen, Fang
1
2021
The abelian complexity of infinite words and the Frobenius problem. Zbl 1477.68252
Kaye, Ian; Narad, Rampersad
1
2021
On the minimum cardinality of generalized sumsets in finite cyclic groups. Zbl 1454.11022
Bhanja, Jagannath
1
2021
Congruences for fractional partition functions. Zbl 1470.11264
Choi, Yunseo
1
2021
Explicit expressions for a certain subset of Appell polynomials: a probabilistic perspective. Zbl 1476.11036
Adell, José A.; Lekuona, Alberto
1
2021
On the equation \(\varphi (n+k)=2 \varphi(n)\). Zbl 1480.11009
Hasanalizade, Elchin
1
2021
Linear recurrences for Bernoulli polynomials involving different kinds of sums. Zbl 1477.11040
Agoh, Takashi
1
2021
The natural density of some sets of square-free numbers. Zbl 1484.11187
Brown, Ron
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 1483.11225
Jha, Sumit Kumar
1
2021
Will the real Hardy-Ramanujan formula please stand up? Zbl 1483.11230
Desalvo, Stephen
1
2021
Some congruences for \((s,t)\)-regular bipartitions modulo \(t\). Zbl 1462.11088
Kathiravan, T.; Srilakshmi, K.
1
2021
Walking to infinity along Gaussian lines. Zbl 1454.11191
Magness, Elsa; Nugent, Brian; Robertson, Leanne
1
2021
Sums over primes. Zbl 1489.11140
Li, Rusen
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. Zbl 1495.11017
Debnath, Pintu; Goswami, Sayan
1
2021
On (yet another) family of Stirling polynomials of the second kind. Zbl 1494.11022
Cobo, Helena
1
2021
Lucas-Lehmer primality tests for certain prime curios. Zbl 1493.11156
Roettger, E. L.; Williams, H. C.
1
2021
Frobenius numbers and automatic sequences. Zbl 1490.11036
Shallit, Jeffrey
1
2021
On an inequality in a 1970 paper of R. L. Graham. Zbl 1500.11007
Allouche, J.-P.
1
2021
Graphical enumeration and stained glass windows. I: Rectangular grids. Zbl 1487.51009
Blomberg, Lars; Shannon, S. R.; Sloane, N. J. A.
1
2021
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Cited by 3,615 Authors

34 Luca, Florian
27 Miller, Steven J.
26 Komatsu, Takao
25 Belbachir, Hacene
23 Shallit, Jeffrey Outlaw
20 Grynkiewicz, David J.
19 Gao, Weidong
19 Geroldinger, Alfred
19 Kong, Derong
19 Mahadeva Naika, Megadahalli Sidda
19 Pelantová, Edita
19 Qi, Feng
19 Steiner, Wolfgang
18 Masáková, Zuzana
18 Ramírez, José Luis
18 Thuswaldner, Jörg Maximilian
17 Pomerance, Carl Bernard
17 Sellers, James Allen
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 Nowakowski, Richard Joseph
14 Schmid, Wolfgang Alexander
13 Adhikari, Sukumar Das
13 Chen, Yonggao
13 Komornik, Vilmos
13 Liu, Wenan
13 Pollack, Paul
12 Agoh, Takashi
12 Axler, Christian
12 Chu, Hùng Việt
12 Dilcher, Karl
12 Iosevich, Alex
12 Larsson, Urban
12 Mező, István
12 Nathanson, Melvyn Bernard
12 Prodinger, Helmut
12 Sagan, Bruce Eli
12 Tang, Min
12 Tripathi, Amitabha
11 Baker, Simon
11 Guo, Bai-Ni
11 Shattuck, Mark A.
11 Spiegelhofer, Lukas
11 Tan, Elif
11 Tóth, László
10 Batir, Necdet
10 Boussayoud, Ali
10 Chern, Shane
10 Li, Yuanlin
10 McNew, Nathan
10 Sanna, Carlo
10 Serbenyuk, Symon Oleksandrovych
10 Solé, Patrick
10 Tauraso, Roberto
10 Zhong, Qinghai
9 Allouche, Jean-Paul Simon
9 Baglini, Lorenzo Luperi
9 Barequet, Gill
9 Gotti, Felix
9 Goy, Taras P.
9 Jones, Lenny K.
9 Kargin, Levent
9 Lengyel, Tamás
9 Lichtman, Jared Duker
9 Lin, Bernard L. S.
9 Montejano, Amanda
9 Schiffler, Ralf
9 Serra, Oriol
9 Sha, Min
9 Shkredov, Il’ya Dmitrievich
9 Soykan, Yüksel
9 Wang, Liuquan
9 Yamada, Tomohiro
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 Harishkumar, Thippeswamy
8 Li, Rusen
8 Li, Wenxia
8 Mihoubi, Miloud
8 Omur, Nese
8 Ordaz, Oscar
8 Palsson, Eyvindur Ari
8 Pan, Hao
8 Pandey, Ram Krishna
8 Patel, Bijan Kumar
8 Pinner, Christopher G.
8 Saikia, Nipen
8 Sun, Zhihong
8 Tao, Terence
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Cited in 424 Journals

263 Integers
210 Journal of Number Theory
119 Discrete Mathematics
119 The Ramanujan Journal
98 International Journal of Number Theory
81 Journal of Integer Sequences
78 The Electronic Journal of Combinatorics
73 Theoretical Computer Science
60 European Journal of Combinatorics
58 Journal of Combinatorial Theory. Series A
44 Discrete Applied Mathematics
41 Bulletin of the Australian Mathematical Society
41 Acta Arithmetica
38 Mathematics of Computation
38 Acta Mathematica Hungarica
36 Advances in Applied Mathematics
35 Journal de Théorie des Nombres de Bordeaux
34 Monatshefte für Mathematik
33 Advances in Mathematics
30 Proceedings of the American Mathematical Society
30 Annals of Combinatorics
30 Comptes Rendus. Mathématique. Académie des Sciences, Paris
26 Journal of Mathematical Analysis and Applications
25 Functiones et Approximatio. Commentarii Mathematici
23 Rocky Mountain Journal of Mathematics
23 Applied Mathematics and Computation
22 Indian Journal of Pure & Applied Mathematics
22 Transactions of the American Mathematical Society
22 Indagationes Mathematicae. New Series
21 American Mathematical Monthly
21 Semigroup Forum
19 Linear Algebra and its Applications
18 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
18 The Australasian Journal of Combinatorics
17 Mathematika
17 Graphs and Combinatorics
17 Journal of Algebraic Combinatorics
17 Turkish Journal of Mathematics
17 Finite Fields and their Applications
16 Boletín de la Sociedad Matemática Mexicana. Third Series
16 Research in Number Theory
14 Israel Journal of Mathematics
14 Annales de l’Institut Fourier
14 Ergodic Theory and Dynamical Systems
13 Archiv der Mathematik
13 International Journal of Game Theory
13 Bulletin of the Korean Mathematical Society
13 SIAM Journal on Discrete Mathematics
13 Involve
12 Journal of Algebra
12 Journal of Inequalities and Applications
12 JP Journal of Algebra, Number Theory and Applications
12 Mediterranean Journal of Mathematics
12 Science China. Mathematics
12 RAIRO. Theoretical Informatics and Applications
11 Communications in Algebra
11 Mathematical Proceedings of the Cambridge Philosophical Society
11 Periodica Mathematica Hungarica
11 Bulletin of the London Mathematical Society
11 Journal of Pure and Applied Algebra
11 Journal of the Ramanujan Mathematical Society
11 Journal of Difference Equations and Applications
11 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
10 Experimental Mathematics
10 Séminaire Lotharingien de Combinatoire
10 Cryptography and Communications
10 Afrika Matematika
9 Czechoslovak Mathematical Journal
9 The Fibonacci Quarterly
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
8 Information Processing Letters
8 Lithuanian Mathematical Journal
8 Results in Mathematics
8 International Journal of Foundations of Computer Science
8 International Journal of Advances in Applied Mathematics and Mechanics
8 Enumerative Combinatorics and Applications
7 Mathematical Notes
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 Journal of Applied Mathematics & Informatics
7 Moscow Journal of Combinatorics and Number Theory
7 Palestine Journal of Mathematics
7 European Journal of Mathematics
7 Open Mathematics
7 AIMS Mathematics
6 Ukrainian Mathematical Journal
6 Chaos, Solitons and Fractals
6 Colloquium Mathematicum
...and 324 more Journals
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Cited in 52 Fields

2,421 Number theory (11-XX)
1,144 Combinatorics (05-XX)
230 Group theory and generalizations (20-XX)
225 Computer science (68-XX)
164 Dynamical systems and ergodic theory (37-XX)
160 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
119 Special functions (33-XX)
106 Commutative algebra (13-XX)
94 Linear and multilinear algebra; matrix theory (15-XX)
92 Measure and integration (28-XX)
90 Convex and discrete geometry (52-XX)
60 Probability theory and stochastic processes (60-XX)
60 Information and communication theory, circuits (94-XX)
51 Algebraic geometry (14-XX)
44 Real functions (26-XX)
42 Order, lattices, ordered algebraic structures (06-XX)
37 Functions of a complex variable (30-XX)
31 Field theory and polynomials (12-XX)
31 Numerical analysis (65-XX)
29 Mathematical logic and foundations (03-XX)
27 Geometry (51-XX)
26 Associative rings and algebras (16-XX)
22 Harmonic analysis on Euclidean spaces (42-XX)
19 Topological groups, Lie groups (22-XX)
16 Sequences, series, summability (40-XX)
15 Difference and functional equations (39-XX)
15 Approximations and expansions (41-XX)
14 General topology (54-XX)
14 Operations research, mathematical programming (90-XX)
12 Abstract harmonic analysis (43-XX)
12 Quantum theory (81-XX)
11 Ordinary differential equations (34-XX)
11 Manifolds and cell complexes (57-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)
7 Category theory; homological algebra (18-XX)
7 Mathematics education (97-XX)
6 History and biography (01-XX)
5 General and overarching topics; collections (00-XX)
5 Integral transforms, operational calculus (44-XX)
5 Functional analysis (46-XX)
5 Differential geometry (53-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)
2 Partial differential equations (35-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Mechanics of particles and systems (70-XX)

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