## 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.htmlhttp://www.degruyter.com/view/j/integ Comments: 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: 1,661 Publications (since 2000) References Indexed: 627 Publications with 8,210 References.
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### Latest Issues

 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)
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### Authors

 18 Luca, Florian 18 Nowakowski, Richard Joseph 17 Prodinger, Helmut 16 Nathanson, Melvyn Bernard 16 Pomerance, Carl Bernard 14 Agoh, Takashi 14 Miller, Steven J. 14 Tripathi, Amitabha 13 Lengyel, Tamás 12 Sellers, James Allen 11 Jones, Lenny K. 11 Shattuck, Mark A. 10 Dilcher, Karl 10 Schweiger, Fritz 9 Brown, Thomas Craig 8 Broughan, Kevin A. 8 Chan, Tsz Ho 8 Larsson, Urban 7 Gao, Weidong 7 Harrington, Joshua 7 Keith, William J. 7 Kitaev, Sergey 7 Komatsu, Takao 7 O’Bryant, Kevin 7 Pollack, Paul 6 Adhikari, Sukumar Das 6 Allouche, Jean-Paul Simon 6 Banks, William D. 6 Belbachir, Hacene 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 Shallit, Jeffrey O. 6 Zeilberger, Doron 5 Ahmed, Tanbir 5 Baruah, Nayandeep Deka 5 Budden, Mark R. 5 Chen, Fang 5 Chen, Yonggao 5 Cochrane, Todd 5 Elizeche, Edgar Federico 5 Flórez, Rigoberto 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 Munagi, Augustine O. 5 Munarini, Emanuele 5 Nešetřil, Jaroslav 5 Ottaway, Paul 5 Palsson, Eyvindur Ari 5 Pelantová, Edita 5 Savage, Carla D. 5 Shevelev, Vladimir Samuil 5 Tauraso, Roberto 5 Williams, Kenneth S. 5 Young, Paul Thomas 5 Yuan, Pingzhi 4 Alzer, Horst 4 Andrews, George Eyre 4 Axler, Christian 4 Calkin, Neil J. 4 Choudhry, Ajai 4 Chu, Hùng Việt 4 Coons, Michael 4 De Koninck, Jean-Marie 4 Dekking, Frederik Michel 4 El Bachraoui, Mohamed 4 Eliahou, Shalom 4 Fang, Jinhui 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 4 Miyadera, Ryohei 4 Moree, Pieter 4 Moses, Peter J. C. 4 Pandey, Ram Krishna 4 Pehlivan, Lerna 4 Pereira dos Santos, Carlos 4 Ponomarenko, Vadim 4 Sándor, Csaba 4 Schlage-Puchta, Jan-Christoph 4 Schmidt, Maxie Dion 4 Shkredov, Il’ya Dmitrievich ...and 1,835 more Authors
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### Fields

 1,357 Number theory (11-XX) 460 Combinatorics (05-XX) 133 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 68 Computer science (68-XX) 64 Group theory and generalizations (20-XX) 33 Special functions (33-XX) 33 Dynamical systems and ergodic theory (37-XX) 29 Linear and multilinear algebra; matrix theory (15-XX) 21 Convex and discrete geometry (52-XX) 18 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 Functions of a complex variable (30-XX) 7 Field theory and polynomials (12-XX) 7 Algebraic geometry (14-XX) 7 Topological groups, Lie groups (22-XX) 6 Mathematical logic and foundations (03-XX) 6 Sequences, series, summability (40-XX) 6 Geometry (51-XX) 6 Operations research, mathematical programming (90-XX) 5 History and biography (01-XX) 5 Real functions (26-XX) 5 Difference and functional equations (39-XX) 5 Approximations and expansions (41-XX) 5 General topology (54-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)

### Citations contained in zbMATH Open

875 Publications have been cited 2,982 times in 2,372 Documents Cited by Year
Artin’s primitive root conjecture – a survey. Zbl 1271.11002
Moree, Pieter
2012
A new generalization of Fibonacci sequence & extended Binet’s formula. Zbl 1248.11009
Edson, Marcia; Yayenie, Omer
2009
Beta-expansions with negative bases. Zbl 1191.11005
2009
Expansions in noninteger bases. Zbl 1301.11008
Komornik, Vilmos
2011
Tilings associated with beta-numeration and substitutions. Zbl 1139.37008
Berthé, Valérie; Siegel, Anne
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
2008
Generalized golden ratios over integer alphabets. Zbl 1285.11049
Baker, Simon
2014
A combinatorial interpretation of the poly-Bernoulli numbers and two Fermat analogues. Zbl 1165.11022
2008
A combinatorial approach to hyperharmonic numbers. Zbl 1128.11309
Benjamin, Arthur T.; Gaebler, David; Gaebler, Robert
2003
Davenport constant with weights and some related questions. Zbl 1107.11018
2006
An infinite family of overpartition congruence modulo 12. Zbl 1088.11074
Hirschhorn, Michael D.; Sellers, James A.
2005
Sets of lengths do not characterize numerical monoids. Zbl 1139.20056
Amos, Jeff; Chapman, S. T.; Hine, Natalie; Paixão, João
2007
Partitions of natural numbers and their representation functions. Zbl 1135.11305
Sándor, Csaba
2004
On $$p,q$$-binomial coefficients. Zbl 1210.05007
Corcino, Roberto B.
2008
The overpartition function modulo 128. Zbl 1210.11108
Kim, Byungchan
2008
On short zero-sum subsequences. II. Zbl 1201.11030
Gao, W. D.; Hou, Q. H.; Schmid, W. A.; Thangadurai, R.
2007
Zero sums in finite cyclic groups. Zbl 1012.11017
Gao, W. D.
2000
On the sum of reciprocal generalized Fibonacci numbers. Zbl 1233.11019
Holliday, Sarah H.; Komatsu, Takao
2011
Supercongruences for a truncated hypergeometric series. Zbl 1301.11020
Tauraso, Roberto
2012
Sums of reciprocals of the central binomial coefficients. Zbl 1106.05003
Sprugnoli, Renzo
2006
A multivariate arithmetic function of combinatorial and topological significance. Zbl 1230.11007
Liskovets, Valery A.
2010
Minimal zero sequences of finite cyclic groups. Zbl 1083.11015
2004
Higher correlations of divisor sums related to primes. I: Triple correlations. Zbl 1118.11039
Goldston, D. A.; Yıldırım, C. Y.
2003
Combinatorial interpretations of binomial coefficient analogues related to Lucas sequences. Zbl 1227.11041
Sagan, Bruce E.; Savage, Carla D.
2010
Integer sets with identical representation functions. Zbl 1404.11013
Chen, Yong-Gao; Lev, Vsevolod F.
2016
Remarks on the Pólya-Vinogradov inequality. Zbl 1278.11080
Pomerance, Carl
2011
Linear recurrent sequences and powers of a square matrix. Zbl 1122.11008
Belbachir, Hacène; Bencherif, Farid
2006
On a conjecture of Hamidoune for subsequence sums. Zbl 1098.11019
Grynkiewicz, David J.
2005
Two explicit formulas of the Schröder numbers. Zbl 1351.05021
Qi, Feng; Shi, Xiao-Ting; Guo, Bai-Ni
2016
Sets with more sums than differences. Zbl 1107.11017
Nathanson, Melvyn B.
2007
Quadratic forms and four partition functions modulo 3. Zbl 1219.11155
Lovejoy, Jeremy; Osburn, Robert
2011
Expansions in non-integer bases: lower order revisited. Zbl 1368.11010
Baker, Simon; Sidorov, Nikita
2014
Generalized Davenport-Schinzel sequences: Results, problems, and applications. Zbl 1004.05004
Klazar, Martin
2002
$$K$$-distance sets, Falconer conjecture, and discrete analogs. Zbl 1139.28002
Iosevich, A.; Łaba, I.
2005
An application of graph pebbling to zero-sum sequences in abelian groups. Zbl 1082.11013
Elledge, Shawn; Hurlbert, Glenn H.
2005
Taming the wild in impartial combinatorial games. Zbl 1092.91012
Plambeck, Thane E.
2005
The combinatorics of frieze patterns and Markoff numbers. Zbl 1435.05018
Propp, James
2020
Combinatorial properties of poly-Bernoulli relatives. Zbl 1412.11034
Bényi, Beáta; Hajnal, Péter
2017
The square of the Fermat quotient. Zbl 1083.11005
Granville, Andrew
2004
Parry expansions of polynomial sequences. Zbl 1107.11307
Steiner, Wolfgang
2002
Partitions with designated summands in which all parts are odd. Zbl 1386.11109
Baruah, Nayandeep Deka; Ojah, Kanan Kumari
2015
Supersaturation in the Boolean lattice. Zbl 1316.05119
Dove, Andrew P.; Griggs, Jerrold R.; Kang, Ross J.; Sereni, Jean-Sébastien
2014
Multiple zeta values and Rota-Baxter algebras. Zbl 1173.11048
Ebrahimi-Fard, Kurusch; Guo, Li
2008
Human proofs of identities by Osburn and Schneider. Zbl 1162.05004
Prodinger, Helmut
2008
Polynomials related to harmonic numbers and evaluation of harmonic number series. I. Zbl 1301.11033
Dil, Ayhan; Kurt, Veli
2012
An upper bound for odd perfect numbers. Zbl 1085.11003
Nielsen, Pace P.
2003
The Ramsey numbers of large cycles versus small wheels. Zbl 1061.05063
Surahmat; Baskoro, E. T.; Broersma, H. J.
2004
Nim restrictions. Zbl 1081.91005
Albert, M. H.; Nowakowski, R. J.
2004
The Frobenius number of geometric sequences. Zbl 1210.11038
2008
Generalizations of some zero-sum theorems. Zbl 1202.11018
Adhikari, Sukumar Das; David, Chantal; Jiménez Urroz, Jorge
2008
Recurrence formulae for multi-poly-Bernoulli numbers. Zbl 1148.11010
Hamahata, Y.; Masubuchi, H.
2007
A family of Fibonacci-like conditional sequences. Zbl 1329.11017
Panario, Daniel; Sahin, Murat; Wang, Qiang
2013
Congruences for generalized Frobenius partitions with an arbitrarily large number of colors. Zbl 1284.11136
Garvan, Frank G.; Sellers, James A.
2014
On the problem of uniqueness for the maximum Stirling number(s) of the second kind. Zbl 1008.11006
Canfield, E. Rodney; Pomerance, Carl
2002
Poset game periodicity. Zbl 1128.91310
Byrnes, Steven
2003
On the intersections of Fibonacci, Pell, and Lucas numbers. Zbl 1228.11018
Alekseyev, Max A.
2011
Integers without large prime factors: from Ramanujan to de Bruijn. Zbl 1335.11076
Moree, Pieter
2014
Sum-product estimates applied to Waring’s problem mod $$p$$. Zbl 1205.11108
Cochrane, Todd; Pinner, Christopher
2008
The Fourier transform of functions of the greatest common divisor. Zbl 1209.11010
Schramm, Wolfgang
2008
Counting polyominoes on twisted cylinders. Zbl 1106.05026
Barequet, Gill; Moffie, Micha; Ribó, Ares; Rote, Günter
2006
Frobenius numbers by lattice point enumeration. Zbl 1229.11049
Einstein, David; Lichtblau, Daniel; Strzebonski, Adam; Wagon, Stan
2007
Primitive prime divisors in polynomial arithmetic dynamics. Zbl 1165.11028
Rice, Brian
2007
Abelian complexity of fixed point of morphism $$0 \mapsto 012, 1 \mapsto 02, 2 \mapsto 1$$. Zbl 1285.68128
2014
Degrees of streams. Zbl 1274.68157
Endrullis, Jörg; Hendriks, Dimitri; Klop, Jan Willem
2011
A note on partitions of natural numbers and their representation functions. Zbl 1283.11025
Yu, Wen; Tang, Min
2012
A characterization of minimal zero-sequences of index one in finite cyclic groups. Zbl 1134.11306
Chapman, Scott T.; Smith, William W.
2005
An introduction to clobber. Zbl 1139.91013
Albert, Michael H.; Grossman, J. P.; Nowakowski, Richard J.; Wolfe, David
2005
Three notes on Ser’s and Hasse’s representations for the zeta-functions. Zbl 1453.11106
Blagouchine, Iaroslav V.
2018
On 2-adic orders of Stirling numbers of the second kind. Zbl 1093.11015
De Wannemacker, Stefan
2005
On elementary lower bounds for the partition function. Zbl 1078.11060
Maróti, Attila
2003
New bounds for the prime counting function. Zbl 1414.11107
Axler, Christian
2016
On the order of points on curves over finite fields. Zbl 1136.11042
Voloch, José Felipe
2007
Simplification of partizan games in misère play. Zbl 1165.91008
Mesdal, G. A.; Ottaway, P.
2007
New estimates for some functions defined over primes. Zbl 1440.11184
Axler, Christian
2018
Restricted sumsets in finite vector spaces: the case $$p=3$$. Zbl 1054.11012
Eliahou, Shalom; Kervaire, Michel
2001
Counting rises, levels, and drops in compositions. Zbl 1077.05003
Heubach, Silvia; Mansour, Toufik
2005
Arithmetic properties for hyper $$m$$-ary partition functions. Zbl 1080.11074
Courtright, Kevin M.; Sellers, James A.
2004
On the number of factorizations of an integer. Zbl 1245.11100
Balasubramanian, Ramachandran; Luca, Florian
2011
Subsets of $$\mathbb Z$$ with simultaneous orderings. Zbl 1246.11074
Adam, David; Chabert, Jean-Luc; Fares, Youssef
2010
Every natural number is the sum of forty-nine palindromes. Zbl 1387.11008
Banks, William D.
2016
Symmetry in maximal ($$s-1,s+1$$)cores. Zbl 1351.05020
Nath, Rishi
2016
An infinite family of congruences for $$\ell$$-regular overpartitions. Zbl 1415.11138
Alanazi, Abdulaziz M.; Munagi, Augustine O.; Sellers, James A.
2016
Some applications of symmetric functions. Zbl 1330.05160
Boussayoud, Ali; Abderrezzak, Abdelhamid; Kerada, Mohamed
2015
Lecture hall partitions and the wreath products $$C_{k} \wr S_{n}$$. Zbl 1333.05032
Pensyl, Thomas W.; Savage, Carla D.
2013
Solitaire Clobber played on Hamming graphs. Zbl 1233.91054
Dorbec, Paul; Duchêne, Eric; Gravier, Sylvain
2008
On the Frobenius number of Fibonacci numerical semigroups. Zbl 1177.11017
Marín, J. M.; Ramírez Alfonsín, J. L.; Revuelta, M. P.
2007
Arithmetic structures in random sets. Zbl 1195.11037
Hamel, Mariah; Łaba, Izabella
2008
Squares and difference sets in finite fields. Zbl 1284.11030
Bachoc, C.; Matolcsi, M.; Ruzsa, I. Z.
2013
The $$k$$-periodic Fibonacci sequence and an extended Binet’s formula. Zbl 1239.11017
Edson, Marcia; Lewis, Scott; Yayenie, Omer
2011
Multidimensional Euclidean algorithms, numeration and substitutions. Zbl 1273.11014
Berthé, Valerie
2011
Christoffel words and Markoff triples. Zbl 1245.11042
Reutenauer, Christophe
2009
Waring’s number in a finite field. Zbl 1237.11040
Cipra, James Arthur
2009
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
2005
Rainbow 3-term arithmetic progressions. Zbl 1128.11306
2003
New games related to old and new sequences. Zbl 1089.11017
Fraenkel, Aviezri S.
2004
A note on Stirling series. Zbl 1268.11036
Kuba, Markus; Prodinger, Helmut
2010
Alternative proofs on the 2-adic order of Stirling numbers of the second kind. Zbl 1241.11020
Lengyel, Tamás
2010
On ternary inclusion-exclusion polynomials. Zbl 1213.11056
2010
Explicit constructions of large families of generalized more sums than differences sets. Zbl 1310.11102
Miller, Steven J.; Robinson, Luc; Pegado, Sean
2012
The $$(r_1,\dots ,r_p)$$-Stirling numbers of the second kind. Zbl 1310.11031
Mihoubi, Miloud; Maamra, Mohammed Said
2012
Polygonal balancing numbers. I. Zbl 07556190
Bartz, Jeremiah; Dearden, Bruce; Iiams, Joel
2022
On primary Carmichael numbers. Zbl 07556197
Kellner, Bernd C.
2022
Combinatorial formulas for arithmetic density. Zbl 07569233
Schneider, Robert; Sills, Andrew V.
2022
On the directions determined by Cartesian products and the clique number of generalized Paley graphs. Zbl 1470.05140
Yip, Chi Hoi
2021
Robin’s inequality for 20-free integers. Zbl 1468.11205
Morrill, Thomas; Platt, David John
2021
On Carmichael and polygonal numbers, Bernoulli polynomials, and sums of base-$$p$$ digits. Zbl 1479.11028
Kellner, Bernd C.; Sondow, Jonathan
2021
A new property of Appell sequences and its application. Zbl 1483.11035
Agoh, Takashi
2021
Infinite series containing generalized $$q$$-harmonic numbers. Zbl 1458.05032
Komatsu, Takao; Li, Rusen
2021
Hausdorff dimension of sets of numbers with large Lüroth elements. Zbl 1469.11250
Arroyo, Aubin; González Robert, Gerardo
2021
WZ proofs for lemniscate-like constant evaluations. Zbl 07497499
Campbell, John Maxwell
2021
Finite sums of consecutive terms of a second order linear recurrence relation. Zbl 1490.11021
Cooper, Curtis
2021
On an inequality in a 1970 paper of R. L. Graham. Zbl 07497799
Allouche, J.-P.
2021
Consecutive primes which are widely digitally delicate. Zbl 07497809
Filaseta, Michael; Juillerat, Jacob
2021
Mertens’ prime product formula, dissected. Zbl 07497814
Lichtman, Jared Duker
2021
Curious convergent series of integers with missing digits. Zbl 07497815
Nathanson, Melvyn B.
2021
A note on Carmichael numbers in residue classes. Zbl 07497816
Pomerance, Carl
2021
Misère domineering on $$2 \times n$$ boards. Zbl 1490.91034
Dwyer, Aaron; Milley, Rebecca; Willette, Michael
2021
Recursive comparison tests for dicot and dead-ending games under misère play. Zbl 1490.91040
Larsson, Urban; Milley, Rebecca; Nowakowski, Richard; Renault, Gabriel; Santos, Carlos
2021
Abelian complexity and synchronization. Zbl 1475.11041
Shallit, Jeffrey
2021
Cyclotomic points and algebraic properties of polygon diagonals. Zbl 1478.11132
Grubb, Thomas; Wolird, Christian
2021
Discrete correlations of order 2 of generalized Golay-Shapiro sequences: a combinatorial approach. Zbl 1470.11043
Marcovici, Irène; Stoll, Thomas; Tahay, Pierre-Adrien
2021
Balancing and Lucas-balancing numbers expressible as sums of two repdigits. Zbl 1454.11040
Rayaguru, Sai Gopal; Panda, Gopal Krishna
2021
Newton sequences and Dirichlet convolution. Zbl 1485.11009
Wójcik, Klaudiusz
2021
Weighted partitions and generalized $$r$$-Lah numbers. Zbl 1472.11081
Belbachir, Hacène; Belkhir, Amine; Bousbaa, Imad-Eddine
2021
The combinatorics of frieze patterns and Markoff numbers. Zbl 1435.05018
Propp, James
2020
Combinatorial identities involving harmonic numbers. Zbl 1439.05032
Batır, Necdet
2020
The product of parts or “norm” of a partition. Zbl 1458.11144
Schneider, Robert; Sills, Andrew V.
2020
On the integrality of factorial ratios and mirror maps. Zbl 1432.11068
2020
Generalized Euler-Genocchi polynomials and Lucas numbers. Zbl 1459.11059
2020
Constructive methods in Gallai-Ramsey theory for hypergraphs. Zbl 1439.05149
Budden, Mark; Hiller, Josh; Penland, Andrew
2020
Generalizations of a curious family of MSTD sets hidden by interior blocks. Zbl 1434.11029
Chu, Hùng Việt; Luntzlara, Noah; Miller, Steven J.; Shao, Lily
2020
Some congruences for $$(2,5)$$-regular cubic partition pairs. Zbl 1432.11148
Naika, M. S. Mahadeva; Harishkumar, T.; Veeranna, Y.
2020
The structure of a sequence with prescribed zero-sum subsequences. Zbl 1465.11049
Grynkiewicz, David J.; Wang, Chunlin; Zhao, Kevin
2020
A note on incomplete Leonardo numbers. Zbl 1481.11018
Catarino, P.; Borges, A.
2020
On the $$x$$-coordinates of Pell equations that are products of two Padovan numbers. Zbl 1465.11057
2020
On bivariate and trivariate Miki-type identities for Bernoulli polynomials. Zbl 1434.11057
Agoh, Takashi
2020
Identities and inequalities for sums involving binomial coefficients. Zbl 1435.05030
Alzer, Horst; Prodinger, Helmut
2020
Prime number conjectures from the Shapiro class structure. Zbl 1432.11005
Bal, Hartosh Singh; Bhatnagar, Gaurav
2020
Index divisibility in the orbit of $$0$$ for integral polynomials. Zbl 1475.11026
Gassert, T. Alden; Urbanski, Michael T.
2020
Sets of cardinality 6 are not sum-dominant. Zbl 1435.11022
Chu, Hùng Việt
2020
A new class of the $$r$$-Stirling numbers and the generalized Bernoulli polynomials. Zbl 1456.11027
Mihoubi, Miloud; Tiachachat, Meriem
2020
On generalized Euler numbers and polynomials related to values of the Lerch zeta function. Zbl 1461.11040
Agoh, Takashi
2020
Grundy numbers of impartial chocolate bar games. Zbl 07306571
Miyadera, Ryohei; Nakamura, Shunsuke; Nakaya, Yushi
2020
Slow $$K$$-Nim. Zbl 07306573
Gurvich, Vladimir; Heubach, Silvia; Ho, Nhan Bao; Chikin, Nikolay
2020
An achievement game on a cycle. Zbl 1458.91044
Räty, Eero
2020
A characterization of the sum and integral sum labellings of some classes of graphs. Zbl 1459.05285
Federico Elizeche, Edgar; Tripathi, Amitabha
2020
Sums of powers over equally spaced Fibonacci numbers. Zbl 1472.11070
Prodinger, Helmut
2020
Congruence properties for the trinomial coefficients. Zbl 1458.11044
Apagodu, Moa; Liu, Ji-Cai
2020
Distribution laws of friable divisors. Zbl 1469.11376
Nyandwi, S.; Smati, A.
2020
A supercongruence involving cubes of Catalan numbers. Zbl 1469.11033
Tauraso, Roberto
2020
Note on a determinant. Zbl 1458.11156
Dupuy, Benjamin
2020
An adaptive upper bound on the Ramsey numbers $$R(3,\dots,3)$$. Zbl 1459.05199
Eliahou, Shalom
2020
The largest $$(k,\ell)$$-sum-free sets in compact Abelian groups. Zbl 1459.11072
Kravitz, Noah
2020
Some identities involving central binomial coefficients and Catalan numbers. Zbl 1459.11049
Alzer, Horst; Nagy, Gábor V.
2020
Unitary cyclotomic polynomials. Zbl 1467.11034
Moree, Pieter; Tóth, László
2020
Monochromatic sums equal to products near zero. Zbl 1459.05331
Patra, Sourav Kanti; Shaikh, Md. Moid
2020
A note on some recent results of da Silva and Sellers on congruences for $$k$$-regular partitions with designated summands. Zbl 1471.11259
Baruah, Nayandeep Deka; Kaur, Mandeep
2020
On upper bounds for the count of elite primes. Zbl 1465.11192
Just, Matthew
2020
On the number of ordered factorizations of an integer. Zbl 1470.11245
Lebowitz-Lockard, Noah
2020
Uniqueness for sums of nonvanishing squares. Zbl 1471.11131
Pigott, Brian; Kosovalić, Nemanja
2020
Binomial series identities involving generalized harmonic numbers. Zbl 1472.05012
Wang, Xiaoyuan; Chu, Wenchang
2020
An improved exponential upper bound for the Erdős-Ginzburg-Ziv constant. Zbl 1442.11035
Hegedűs, Gábor
2020
Lower and upper bounds on irregularities of distribution. Zbl 1440.11143
Levy, Karl
2020
Congruences for overpartition pairs and 5 dots bracelet partitions modulo 25. Zbl 1481.11104
Tang, Dazhao
2020
Colored partitions and the hooklength formula: partition statistic identities. Zbl 1439.05020
Anible, Emily E.; Keith, William J.
2020
New congruences for 3-regular partitions with designated summands. Zbl 1439.11270
da Silva, Robson; Sellers, James A.
2020
Alternate minimization and doubly stochastic matrices. Zbl 1440.15039
Nathanson, Melvyn B.
2020
Divisibility properties of coefficients of modular functions in genus zero levels. Zbl 1448.11082
Iba, Victoria; Jenkins, Paul; Warnick, Merrill
2019
Minimum coprime labelings for operations on graphs. Zbl 1416.05244
2019
Some explicit formulas for Euler-Genocchi polynomials. Zbl 1446.11032
2019
Complementary families of the Fibonacci-Lucas relations. Zbl 1441.11031
Martinjak, Ivica; Prodinger, Helmut
2019
On generalized derangements and some orthogonal polynomials. Zbl 1416.05022
Mezo, István; Ramírez, José L.; Wang, Chen-Ying
2019
Explicit expressions for the moments of the size of an $$(N,DN-1)$$-core partition with distinct parts. Zbl 1416.05036
Zaleski, Anthony
2019
Generalized cosecant numbers and the Hurwitz zeta function. Zbl 1467.11082
Kowalenko, Victor
2019
Infinite families of partitions into MSTD subsets. Zbl 1467.11012
Chu, Hùng Việt; Luntzlara, Noah; Miller, Steven J.; Shao, Lily
2019
Games on arbitrarily large rats and playability. Zbl 1460.91053
2019
Cardinality of a floor function set. Zbl 1472.11034
Heyman, Randell
2019
Elliptic curves arising from the triangular numbers. Zbl 1456.11103
Juyal, Abhishek; Kumar, Shiv Datt; Moody, Dustin
2019
On binomial coefficients modulo squares of primes. Zbl 1448.11048
Grinberg, Darij
2019
Polychromatic colorings on the integers. Zbl 1416.05277
Axenovich, Maria; Goldwasser, John; Lidický, Bernard; Martin, Ryan R.; Offner, David; Talbot, John; Young, Michael
2019
Prime power divisors of Mersenne numbers and Wieferich primes of higher order. Zbl 1454.11016
2019
Integers which cannot be partitioned into an even number of consecutive parts. Zbl 1416.05032
Rodríguez Caballero, José Manuel
2019
Lonely runner polyhedra. Zbl 1421.52017
Beck, Matthias; Hoşten, Serkan; Schymura, Matthias
2019
Augmented Hilbert series of numerical semigroups. Zbl 1442.13013
Glenn, Jeske; O&rsquo;Neill, Christopher; Ponomarenko, Vadim; Sepanski, Benjamin
2019
Quasiperfect numbers with the same exponent. Zbl 1465.11041
2019
On a Diophantine equation with three prime variables. Zbl 1461.11133
Zhang, Min; Li, Jinjiang
2019
An alternative proof of Melham’s identities. Zbl 1461.11071
Humby, George
2019
A new approach to the Fraenkel conjecture for low $$n$$ values. Zbl 1461.11046
Schnabel, Ofir; Simpson, Jamie
2019
Positive integers represented by regular primitive positive-definite integral ternary quadratic forms. Zbl 1467.11040
Doyle, Greg; Muskat, Joseph B.; Pehlivan, Lerna; Williams, Kenneth S.
2019
Motzkin paths with a restricted first return decomposition. Zbl 1427.05014
Baril, Jean-Luc; Kirgizov, Sergey; Petrossian, Armen
2019
An extension of a formula of Jovovic. Zbl 1472.11078
Chern, Shane
2019
Power sum polynomials as relaxed EGZ polynomials. Zbl 1467.11111
Ahmed, Tanbir; Bialostocki, Arie; Pham, Thang; Vinh, Le Anh
2019
Symmetric primes revisited. Zbl 1462.11070
Banks, William; Pollack, Paul; Pomerance, Carl
2019
Repdigits as sums of two Fibonacci numbers and two Lucas numbers. Zbl 1467.11009
Normenyo, Benedict Vasco; Kafle, Bir; Togbé, Alain
2019
The limit distribution of the middle prime factors of an integer. Zbl 1467.11084
De Koninck, Jean-Marie; Doyon, Nicolas; Ouellet, Vincent
2019
Complex Cantor series, Cantor products and their independence. Zbl 07133448
Komatsu, Takao; Laohakosol, Vichian; Rattanamoong, Jittinart
2019
Approaching Cusick’s conjecture on the sum-of-digits function. Zbl 1472.11049
Spiegelhofer, Lukas
2019
Three notes on Ser’s and Hasse’s representations for the zeta-functions. Zbl 1453.11106
Blagouchine, Iaroslav V.
2018
New estimates for some functions defined over primes. Zbl 1440.11184
Axler, Christian
2018
Pattern containment in circular permutations. Zbl 1416.05010
Gray, Daniel; Lanning, Charles; Wang, Hua
2018
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### Cited by 2,742 Authors

 28 Luca, Florian 20 Miller, Steven J. 19 Komatsu, Takao 17 Gao, Weidong 17 Kong, Derong 16 Mahadeva Naika, Megadahalli Sidda 16 Yuan, Pingzhi 15 Geroldinger, Alfred 15 Grynkiewicz, David J. 15 Masáková, Zuzana 15 Ramírez, José Luis 15 Shparlinski, Igor E. 15 Steiner, Wolfgang 14 Belbachir, Hacene 14 Berthé, Valérie 14 Pelantová, Edita 14 Qi, Feng 14 Thuswaldner, Jörg Maximilian 13 Mansour, Toufik 13 Moree, Pieter 13 Pomerance, Carl Bernard 12 Iosevich, Alex 12 Komornik, Vilmos 12 Shallit, Jeffrey O. 12 Tang, Min 11 Chen, Yonggao 11 Dilcher, Karl 11 Liu, Wenan 11 Nowakowski, Richard Joseph 11 Pollack, Paul 11 Schmid, Wolfgang Alexander 11 Sellers, James Allen 10 Adhikari, Sukumar Das 10 Agoh, Takashi 10 Bényi, Beáta 10 Mező, István 10 Solé, Patrick 10 Sun, Zhi-Wei 10 Tauraso, Roberto 9 Batir, Necdet 9 Chu, Hùng Việt 9 Gotti, Felix 9 Larsson, Urban 9 Prodinger, Helmut 9 Tóth, László 9 Tripathi, Amitabha 9 Yang, Quanhui 8 Akiyama, Shigeki 8 Axler, Christian 8 Chern, Shane 8 Guo, Bai-Ni 8 Jones, Lenny K. 8 Kargin, Levent 8 Li, Wenxia 8 Li, Yuanlin 8 Lin, Bernard L. S. 8 McNew, Nathan 8 O’Neill, Christopher 8 Serra, Oriol 8 Shattuck, Mark A. 8 Tan, Elif 8 Wang, Liuquan 7 Acikgoz, Mehmet 7 Allouche, Jean-Paul Simon 7 Baker, Simon 7 Barequet, Gill 7 Borwein, Jonathan Michael 7 Boussayoud, Ali 7 Bravo, Jhon Jairo 7 Charlier, Emilie 7 Chu, Wenchang 7 da Silva, Robson 7 Harishkumar, Thippeswamy 7 Nathanson, Melvyn Bernard 7 Omur, Nese 7 Ordaz, Oscar 7 Pan, Hao 7 Sagan, Bruce Eli 7 Sha, Min 7 Shi, Minjia 7 Shkredov, Il’ya Dmitrievich 7 Young, Paul Thomas 7 Zhong, Qinghai 6 Adell, José Antonio 6 Araci, Serkan 6 Baglini, Lorenzo Luperi 6 Chen, Shiqiang 6 Chen, William Yong-Chuan 6 Cilleruelo, Javier 6 Corcino, Roberto Bagsarsa 6 Dantas, Simone 6 Dil, Ayhan 6 Gómez, Carlos Alexis 6 Grau, José María 6 Gravier, Sylvain 6 Koparal, Sibel 6 Lengyel, Tamás 6 Lichtman, Jared Duker 6 Mihoubi, Miloud 6 Moll, Victor Hugo ...and 2,642 more Authors
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### Cited in 355 Journals

 178 Integers 171 Journal of Number Theory 97 Discrete Mathematics 89 The Ramanujan Journal 84 International Journal of Number Theory 62 Theoretical Computer Science 54 The Electronic Journal of Combinatorics 53 Journal of Combinatorial Theory. Series A 48 European Journal of Combinatorics 47 Journal of Integer Sequences 32 Discrete Applied Mathematics 32 Mathematics of Computation 31 Acta Mathematica Hungarica 30 Bulletin of the Australian Mathematical Society 30 Acta Arithmetica 30 Monatshefte für Mathematik 28 Journal de Théorie des Nombres de Bordeaux 27 Advances in Applied Mathematics 26 Annals of Combinatorics 25 Advances in Mathematics 25 Proceedings of the American Mathematical Society 23 Journal of Mathematical Analysis and Applications 23 Functiones et Approximatio. Commentarii Mathematici 22 Transactions of the American Mathematical Society 21 Comptes Rendus. Mathématique. Académie des Sciences, Paris 19 Applied Mathematics and Computation 19 Indagationes Mathematicae. New Series 18 Rocky Mountain Journal of Mathematics 17 American Mathematical Monthly 16 Semigroup Forum 15 Graphs and Combinatorics 14 International Journal of Game Theory 14 Linear Algebra and its Applications 14 Turkish Journal of Mathematics 13 Israel Journal of Mathematics 13 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 12 Indian Journal of Pure & Applied Mathematics 12 Annales de l’Institut Fourier 12 Ergodic Theory and Dynamical Systems 12 Science China. Mathematics 11 Finite Fields and their Applications 11 Journal of Inequalities and Applications 10 Journal of Algebra 10 The Australasian Journal of Combinatorics 10 JP Journal of Algebra, Number Theory and Applications 9 Mathematical Proceedings of the Cambridge Philosophical Society 9 Boletín de la Sociedad Matemática Mexicana. Third Series 9 Advances in Difference Equations 8 Lithuanian Mathematical Journal 8 Periodica Mathematica Hungarica 8 Archiv der Mathematik 8 Bulletin of the Korean Mathematical Society 8 Journal of Symbolic Computation 8 SIAM Journal on Discrete Mathematics 8 International Journal of Foundations of Computer Science 8 Experimental Mathematics 8 Journal of Algebraic Combinatorics 8 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 8 RAIRO. Theoretical Informatics and Applications 8 Afrika Matematika 7 Communications in Algebra 7 Journal of Pure and Applied Algebra 7 Mathematika 7 Quaestiones Mathematicae 7 Designs, Codes and Cryptography 7 Journal of Difference Equations and Applications 7 Bulletin of the Brazilian Mathematical Society. New Series 7 Cryptography and Communications 6 Information Processing Letters 6 Aequationes Mathematicae 6 Filomat 6 Hacettepe Journal of Mathematics and Statistics 6 Contributions to Discrete Mathematics 6 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 6 Research in Number Theory 5 Mathematical Notes 5 Colloquium Mathematicum 5 Mathematica Slovaca 5 Results in Mathematics 5 Order 5 Discrete & Computational Geometry 5 Revista Matemática Iberoamericana 5 Journal of the Ramanujan Mathematical Society 5 International Journal of Algebra and Computation 5 Expositiones Mathematicae 5 Discrete and Continuous Dynamical Systems 5 Séminaire Lotharingien de Combinatoire 5 Journal of Algebra and its Applications 5 Mediterranean Journal of Mathematics 5 Journal of Applied Mathematics & Informatics 5 Palestine Journal of Mathematics 5 Open Mathematics 5 AIMS Mathematics 4 Computers & Mathematics with Applications 4 Ukrainian Mathematical Journal 4 Chaos, Solitons and Fractals 4 Mathematics Magazine 4 Mathematische Zeitschrift 4 Forum Mathematicum 4 Journal of Mathematical Sciences (New York) ...and 255 more Journals
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### Cited in 52 Fields

 1,726 Number theory (11-XX) 817 Combinatorics (05-XX) 166 Group theory and generalizations (20-XX) 155 Computer science (68-XX) 126 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 121 Dynamical systems and ergodic theory (37-XX) 85 Special functions (33-XX) 72 Measure and integration (28-XX) 67 Convex and discrete geometry (52-XX) 63 Linear and multilinear algebra; matrix theory (15-XX) 58 Commutative algebra (13-XX) 44 Information and communication theory, circuits (94-XX) 36 Probability theory and stochastic processes (60-XX) 34 Algebraic geometry (14-XX) 32 Real functions (26-XX) 31 Order, lattices, ordered algebraic structures (06-XX) 30 Numerical analysis (65-XX) 27 Functions of a complex variable (30-XX) 22 Field theory and polynomials (12-XX) 21 Mathematical logic and foundations (03-XX) 21 Harmonic analysis on Euclidean spaces (42-XX) 16 Associative rings and algebras (16-XX) 15 Geometry (51-XX) 14 Approximations and expansions (41-XX) 14 Operations research, mathematical programming (90-XX) 13 Sequences, series, summability (40-XX) 12 Topological groups, Lie groups (22-XX) 10 Abstract harmonic analysis (43-XX) 9 Difference and functional equations (39-XX) 8 Nonassociative rings and algebras (17-XX) 8 General topology (54-XX) 8 Quantum theory (81-XX) 7 Ordinary differential equations (34-XX) 7 Manifolds and cell complexes (57-XX) 6 Statistics (62-XX) 5 General and overarching topics; collections (00-XX) 5 Integral transforms, operational calculus (44-XX) 5 Algebraic topology (55-XX) 4 Functional analysis (46-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 General algebraic systems (08-XX) 3 Potential theory (31-XX) 3 Operator theory (47-XX) 3 Biology and other natural sciences (92-XX) 3 Mathematics education (97-XX) 2 History and biography (01-XX) 2 Category theory; homological algebra (18-XX) 2 $$K$$-theory (19-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)