# zbMATH — the first resource for mathematics

## 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: 1,513 Publications (since 2000) References Indexed: 479 Publications with 6,105 References.
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#### Latest Issues

 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 16 Prodinger, Helmut 15 Nathanson, Melvyn Bernard 14 Miller, Steven J. 13 Agoh, Takashi 13 Pomerance, Carl Bernard 13 Tripathi, Amitabha 12 Lengyel, Tamás 12 Nowakowski, Richard J. 12 Sellers, James Allen 11 Jones, Lenny K. 11 Shattuck, Mark A. 9 Schweiger, Fritz 8 Broughan, Kevin A. 8 Brown, Thomas Craig 8 Dilcher, Karl 7 Chan, Tsz Ho 7 Harrington, Joshua 7 Keith, William J. 7 Kitaev, Sergey 7 Komatsu, Takao 7 Pollack, Paul 6 Banks, William D. 6 Belbachir, Hacene 6 Gao, Weidong 6 Mansour, Toufik 6 Mihoubi, Miloud 6 O’Bryant, Kevin 6 Ottaway, Paul 6 Zeilberger, Doron 5 Adhikari, Sukumar Das 5 Ahmed, Tanbir 5 Allouche, Jean-Paul Simon 5 Baruah, Nayandeep Deka 5 Chen, Yonggao 5 Fraenkel, Aviezri Siegmund 5 Godbole, Anant P. 5 Graham, Ronald Lewis 5 Hindman, Neil 5 Horrocks, David G. C. 5 James, Kevin 5 Larsson, Urban 5 Ledoan, Andrew H. 5 Low, Richard M. 5 Munagi, Augustine O. 5 Nešetřil, Jaroslav 5 Palsson, Eyvindur Ari 5 Pelantová, Edita 5 Savage, Carla D. 5 Shallit, Jeffrey O. 5 Shevelev, Vladimir Samuil 5 Tauraso, Roberto 5 Yuan, Pingzhi 4 Axler, Christian 4 Budden, Mark R. 4 Calkin, Neil J. 4 Chen, Fang 4 Chu, Hùng Việt 4 Cochrane, Todd 4 Coons, Michael 4 De Koninck, Jean-Marie 4 Dekking, Frederik Michel 4 El Bachraoui, Mohamed 4 Eliahou, Shalom 4 Elizeche, Edgar Federico 4 Fang, Jinhui 4 Flórez, Rigoberto 4 Hegarty, Peter V. 4 Hirschhorn, Michael D. 4 Holt, Benjamin V. 4 Iosevich, Alex 4 Jha, Sumit Kumar 4 Jungić, Veselin M. 4 Kane, Daniel M. 4 Kellner, Bernd C. 4 Lev, Vsevolod F. 4 Mc Laughlin, James G. 4 Mercer, Idris David 4 Merlini, Donatella 4 Miyadera, Ryohei 4 Moree, Pieter 4 Moses, Peter J. C. 4 Munarini, Emanuele 4 Pandey, Ram Krishna 4 Sándor, Csaba 4 Schlage-Puchta, Jan-Christoph 4 Schmidt, Maxie Dion 4 Shparlinski, Igor E. 4 Simpson, Jamie 4 Sondow, Jonathan D. 4 Stănică, Pantelimon 4 Szabó, Sándor 4 Tóth, László 4 Treviño, Enrique 4 Vandehey, Joseph 4 Williams, Kenneth S. 4 Young, Paul Thomas 4 Zaharescu, Alexandru 3 Alaca, Ayşe 3 Alzer, Horst ...and 1,658 more Authors
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#### Fields

 1,242 Number theory (11-XX) 421 Combinatorics (05-XX) 114 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 63 Computer science (68-XX) 55 Group theory and generalizations (20-XX) 31 Dynamical systems and ergodic theory (37-XX) 27 Special functions (33-XX) 20 Convex and discrete geometry (52-XX) 19 Linear and multilinear algebra; matrix theory (15-XX) 16 Commutative algebra (13-XX) 13 Probability theory and stochastic processes (60-XX) 12 General and overarching topics; collections (00-XX) 11 Information and communication theory, circuits (94-XX) 9 Measure and integration (28-XX) 8 Order, lattices, ordered algebraic structures (06-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 Functions of a complex variable (30-XX) 6 Geometry (51-XX) 5 Real functions (26-XX) 4 History and biography (01-XX) 4 Difference and functional equations (39-XX) 4 Sequences, series, summability (40-XX) 4 General topology (54-XX) 4 Operations research, mathematical programming (90-XX) 3 Approximations and expansions (41-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Numerical analysis (65-XX) 2 Associative rings and algebras (16-XX) 2 Manifolds and cell complexes (57-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 Operator theory (47-XX) 1 Algebraic topology (55-XX) 1 Mathematics education (97-XX)

#### Citations contained in zbMATH Open

754 Publications have been cited 2,437 times in 1,937 Documents Cited by Year
Artin’s primitive root conjecture – a survey. Zbl 1271.11002
Moree, Pieter
2012
Tilings associated with beta-numeration and substitutions. Zbl 1139.37008
Berthé, Valérie; Siegel, Anne
2005
Beta-expansions with negative bases. Zbl 1191.11005
2009
Expansions in noninteger bases. Zbl 1301.11008
Komornik, Vilmos
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
2008
A new generalization of Fibonacci sequence & extended Binet’s formula. Zbl 1248.11009
Edson, Marcia; Yayenie, Omer
2009
Generalized golden ratios over integer alphabets. Zbl 1285.11049
Baker, Simon
2014
Sets of lengths do not characterize numerical monoids. Zbl 1139.20056
Amos, Jeff; Chapman, S. T.; Hine, Natalie; Paixão, João
2007
A combinatorial interpretation of the poly-Bernoulli numbers and two Fermat analogues. Zbl 1165.11022
2008
An infinite family of overpartition congruence modulo 12. Zbl 1088.11074
Hirschhorn, Michael D.; Sellers, James A.
2005
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
Zero sums in finite cyclic groups. Zbl 1012.11017
Gao, W. D.
2000
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
Minimal zero sequences of finite cyclic groups. Zbl 1083.11015
2004
On short zero-sum subsequences. II. Zbl 1201.11030
Gao, W. D.; Hou, Q. H.; Schmid, W. A.; Thangadurai, R.
2007
A multivariate arithmetic function of combinatorial and topological significance. Zbl 1230.11007
Liskovets, Valery A.
2010
Generalized Davenport-Schinzel sequences: Results, problems, and applications. Zbl 1004.05004
Klazar, Martin
2002
On a conjecture of Hamidoune for subsequence sums. Zbl 1098.11019
Grynkiewicz, David J.
2005
Sets with more sums than differences. Zbl 1107.11017
Nathanson, Melvyn B.
2007
On the sum of reciprocal generalized Fibonacci numbers. Zbl 1233.11019
Holliday, Sarah H.; Komatsu, Takao
2011
$$K$$-distance sets, Falconer conjecture, and discrete analogs. Zbl 1139.28002
Iosevich, A.; Łaba, I.
2005
Combinatorial interpretations of binomial coefficient analogues related to Lucas sequences. Zbl 1227.11041
Sagan, Bruce E.; Savage, Carla D.
2010
Quadratic forms and four partition functions modulo 3. Zbl 1219.11155
Lovejoy, Jeremy; Osburn, Robert
2011
Sums of reciprocals of the central binomial coefficients. Zbl 1106.05003
Sprugnoli, Renzo
2006
An application of graph pebbling to zero-sum sequences in abelian groups. Zbl 1082.11013
Elledge, Shawn; Hurlbert, Glenn H.
2005
Remarks on the Pólya-Vinogradov inequality. Zbl 1278.11080
Pomerance, Carl
2011
Expansions in non-integer bases: lower order revisited. Zbl 1368.11010
Baker, Simon; Sidorov, Nikita
2014
Supercongruences for a truncated hypergeometric series. Zbl 1301.11020
Tauraso, Roberto
2012
Higher correlations of divisor sums related to primes. I: Triple correlations. Zbl 1118.11039
Goldston, D. A.; Yıldırım, C. Y.
2003
Supersaturation in the Boolean lattice. Zbl 1316.05119
Dove, Andrew P.; Griggs, Jerrold R.; Kang, Ross J.; Sereni, Jean-Sébastien
2014
Parry expansions of polynomial sequences. Zbl 1107.11307
Steiner, Wolfgang
2002
The square of the Fermat quotient. Zbl 1083.11005
Granville, Andrew
2004
Nim restrictions. Zbl 1081.91005
Albert, M. H.; Nowakowski, R. J.
2004
Multiple zeta values and Rota-Baxter algebras. Zbl 1173.11048
Ebrahimi-Fard, Kurusch; Guo, Li
2008
Taming the wild in impartial combinatorial games. Zbl 1092.91012
Plambeck, Thane E.
2005
Integer sets with identical representation functions. Zbl 1404.11013
Chen, Yong-Gao; Lev, Vsevolod F.
2016
Congruences for generalized Frobenius partitions with an arbitrarily large number of colors. Zbl 1284.11136
Garvan, Frank G.; Sellers, James A.
2014
Degrees of streams. Zbl 1274.68157
Endrullis, Jörg; Hendriks, Dimitri; Klop, Jan Willem
2011
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
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
Linear recurrent sequences and powers of a square matrix. Zbl 1122.11008
Belbachir, Hacène; Bencherif, Farid
2006
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
Two explicit formulas of the Schröder numbers. Zbl 1351.05021
Qi, Feng; Shi, Xiao-Ting; Guo, Bai-Ni
2016
Recurrence formulae for multi-poly-Bernoulli numbers. Zbl 1148.11010
Hamahata, Y.; Masubuchi, H.
2007
Human proofs of identities by Osburn and Schneider. Zbl 1162.05004
Prodinger, Helmut
2008
Combinatorial properties of poly-Bernoulli relatives. Zbl 1412.11034
Bényi, Beáta; Hajnal, Péter
2017
Integers without large prime factors: from Ramanujan to de Bruijn. Zbl 1335.11076
Moree, Pieter
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
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
On 2-adic orders of Stirling numbers of the second kind. Zbl 1093.11015
De Wannemacker, Stefan
2005
On the order of points on curves over finite fields. Zbl 1136.11042
Voloch, José Felipe
2007
Arithmetic structures in random sets. Zbl 1195.11037
Hamel, Mariah; Łaba, Izabella
2008
A family of Fibonacci-like conditional sequences. Zbl 1329.11017
Panario, Daniel; Sahin, Murat; Wang, Qiang
2013
The combinatorics of frieze patterns and Markoff numbers. Zbl 1435.05018
Propp, James
2020
Lecture hall partitions and the wreath products $$C_{k} \wr S_{n}$$. Zbl 1333.05032
Pensyl, Thomas W.; Savage, Carla D.
2013
Multidimensional Euclidean algorithms, numeration and substitutions. Zbl 1273.11014
Berthé, Valerie
2011
A note on partitions of natural numbers and their representation functions. Zbl 1283.11025
Yu, Wen; Tang, Min
2012
Restricted sumsets in finite vector spaces: the case $$p=3$$. Zbl 1054.11012
Eliahou, Shalom; Kervaire, Michel
2001
On elementary lower bounds for the partition function. Zbl 1078.11060
Maróti, Attila
2003
Poset game periodicity. Zbl 1128.91310
Byrnes, Steven
2003
The $$k$$-periodic Fibonacci sequence and an extended Binet’s formula. Zbl 1239.11017
Edson, Marcia; Lewis, Scott; Yayenie, Omer
2011
Primitive prime divisors in polynomial arithmetic dynamics. Zbl 1165.11028
Rice, Brian
2007
The Frobenius number of geometric sequences. Zbl 1210.11038
2008
Solitaire Clobber played on Hamming graphs. Zbl 1233.91054
Dorbec, Paul; Duchêne, Eric; Gravier, Sylvain
2008
Counting rises, levels, and drops in compositions. Zbl 1077.05003
Heubach, Silvia; Mansour, Toufik
2005
Every natural number is the sum of forty-nine palindromes. Zbl 1387.11008
Banks, William D.
2016
New bounds for the prime counting function. Zbl 1414.11107
Axler, Christian
2016
The Lind-Lehmer constant for $$\mathbb Z_{m} \times \mathbb Z^{n}_p$$. Zbl 1414.11129
Pigno, Vincent; Pinner, Chris; Vipismakul, Wasin
2016
New estimates for some functions defined over primes. Zbl 1440.11184
Axler, Christian
2018
On the complexity of chooser-picker positional games. Zbl 1242.91023
Csernenszky, András; Martin, Ryan R.; Pluhár, András
2012
Long minimal zero-sum sequences in the groups $$C_{2}^{r-1} \oplus C_{2k}$$. Zbl 1308.11028
Chen, Fang; Savchev, Svetoslav
2014
Primes of prescribed congruence class in short intervals. Zbl 1283.11008
Cullinan, John; Hajir, Farshid
2012
Euler-type identities for integer compositions via zig-zag graphs. Zbl 1283.05033
Munagi, Augustine O.
2012
Rainbow 3-term arithmetic progressions. Zbl 1128.11306
2003
Numbers with integer complexity close to the lower bound. Zbl 1275.11019
Altman, Harry; Zelinsky, Joshua
2012
Log-sine evaluations of Mahler measures. II. Zbl 1266.33022
Borwein, David; Borwein, Jonathan M.; Straub, Armin; Wan, James
2012
Some new exact van der Waerden numbers. Zbl 1110.05097
Landman, Bruce; Robertson, Aaron; Culver, Clay
2005
The Tribonacci substitution. Zbl 1099.11004
Rosema, S. W.; Tijdeman, R.
2005
Reducing the Erdős-Moser equation $$1^n + 2^n + \dots + k^n = (k + 1)^n$$ modulo $$k$$ and $$k^2$$. Zbl 1233.11038
Sondow, Jonathan; MacMillan, Kieren
2011
A note on Stirling series. Zbl 1268.11036
Kuba, Markus; Prodinger, Helmut
2010
Subsets of $$\mathbb Z$$ with simultaneous orderings. Zbl 1246.11074
Adam, David; Chabert, Jean-Luc; Fares, Youssef
2010
Alternative proofs on the 2-adic order of Stirling numbers of the second kind. Zbl 1241.11020
Lengyel, Tamás
2010
A generalization of the Smarandache function to several variables. Zbl 1114.11003
Hungerbühler, Norbert; Specker, Ernst
2006
On the Frobenius number of Fibonacci numerical semigroups. Zbl 1177.11017
Marín, J. M.; Ramírez Alfonsín, J. L.; Revuelta, M. P.
2007
On the number of factorizations of an integer. Zbl 1245.11100
Balasubramanian, Ramachandran; Luca, Florian
2011
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
2009
Some arithmetic properties of overpartition $$k$$-tuples. Zbl 1190.11056
Keister, Derrick M.; Sellers, James A.; Vary, Robert G.
2009
Solitaire clobber as an optimization problem on words. Zbl 1233.91052
Blondel, Vincent D.; Hendrickx, Julien M.; Jungers, Raphaël M.
2008
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
Symmetry in maximal ($$s-1,s+1$$)cores. Zbl 1351.05020
Nath, Rishi
2016
Infinite series containing generalized $$q$$-harmonic numbers. Zbl 1458.05032
Komatsu, Takao; Li, Rusen
2021
Robin’s inequality for 20-free integers. Zbl 07342413
Morrill, Thomas; Platt, David John
2021
The combinatorics of frieze patterns and Markoff numbers. Zbl 1435.05018
Propp, James
2020
The product of parts or “norm” of a partition. Zbl 1458.11144
Schneider, Robert; Sills, Andrew V.
2020
On bivariate and trivariate Miki-type identities for Bernoulli polynomials. Zbl 1434.11057
Agoh, Takashi
2020
Combinatorial identities involving harmonic numbers. Zbl 1439.05032
Batır, Necdet
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
On generalized Euler numbers and polynomials related to values of the Lerch zeta function. Zbl 1461.11040
Agoh, Takashi
2020
Identities and inequalities for sums involving binomial coefficients. Zbl 1435.05030
Alzer, Horst; Prodinger, Helmut
2020
On the integrality of factorial ratios and mirror maps. Zbl 1432.11068
2020
Sets of cardinality 6 are not sum-dominant. Zbl 1435.11022
Chu, Hùng Việt
2020
An improved exponential upper bound for the Erdős-Ginzburg-Ziv constant. Zbl 1442.11035
Hegedűs, Gábor
2020
Congruences for overpartition pairs and 5 dots bracelet partitions modulo 25. Zbl 07198778
Tang, Dazhao
2020
Colored partitions and the hooklength formula: partition statistic identities. Zbl 1439.05020
Anible, Emily E.; Keith, William J.
2020
Constructive methods in Gallai-Ramsey theory for hypergraphs. Zbl 1439.05149
Budden, Mark; Hiller, Josh; Penland, Andrew
2020
Alternate minimization and doubly stochastic matrices. Zbl 1440.15039
Nathanson, Melvyn B.
2020
Sums of powers over equally spaced Fibonacci numbers. Zbl 07306583
Prodinger, Helmut
2020
Note on a determinant. Zbl 1458.11156
Dupuy, Benjamin
2020
Generalized Euler-Genocchi polynomials and Lucas numbers. Zbl 1459.11059
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
Monochromatic sums equal to products near zero. Zbl 1459.05331
Patra, Sourav Kanti; Shaikh, Md. Moid
2020
On upper bounds for the count of elite primes. Zbl 1465.11192
Just, Matthew
2020
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
On generalized derangements and some orthogonal polynomials. Zbl 1416.05022
Mezo, István; Ramírez, José L.; Wang, Chen-Ying
2019
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
Quasiperfect numbers with the same exponent. Zbl 1465.11041
2019
An alternative proof of Melham’s identities. Zbl 1461.11071
Humby, George
2019
Motzkin paths with a restricted first return decomposition. Zbl 1427.05014
Baril, Jean-Luc; Kirgizov, Sergey; Petrossian, Armen
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
Elliptic curves arising from the triangular numbers. Zbl 1456.11103
Juyal, Abhishek; Kumar, Shiv Datt; Moody, Dustin
2019
Integers which cannot be partitioned into an even number of consecutive parts. Zbl 1416.05032
Rodríguez Caballero, José Manuel
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
Augmented Hilbert series of numerical semigroups. Zbl 1442.13013
Glenn, Jeske; O&rsquo;Neill, Christopher; Ponomarenko, Vadim; Sepanski, Benjamin
2019
New estimates for some functions defined over primes. Zbl 1440.11184
Axler, Christian
2018
Three notes on Ser’s and Hasse’s representations for the zeta-functions. Zbl 1453.11106
Blagouchine, Iaroslav V.
2018
Polynomials related to powers of the Dedekind eta function. Zbl 1440.11057
Heim, Bernhard; Neuhauser, Markus
2018
A Cameron and Erdős conjecture on counting primitive sets. Zbl 1441.11040
Angelo, Rodrigo
2018
Sums of cubes over odd-index Fibonacci numbers. Zbl 1412.11022
Frontczak, Robert
2018
Computational rediscovery of Ramanujan’s tau numbers. Zbl 1441.11203
Matiyasevich, Yuri
2018
Partition recurrences. Zbl 1416.05028
Choliy, Yuriy; Kolitsch, Louis W.; Sills, Andrew V.
2018
Characterization of the strong divisibility property for generalized Fibonacci polynomials. Zbl 1416.11022
Flórez, Rigoberto; Higuita, Robinson A.; Mukherjee, Antara
2018
Weakly holomorphic modular forms in prime power levels of genus zero. Zbl 1440.11072
Jenkins, Paul; Thornton, Dj
2018
The Lind-Lehmer constant for 3-groups. Zbl 1431.11117
Clem, Stian; Pinner, Christopher
2018
An improvement of an inequality of Ochem and Rao concerning odd perfect numbers. Zbl 1448.11013
Zelinsky, Joshua
2018
New congruences for overpartitions into odd parts. Zbl 1455.11138
Ray, Chiranjit; Barman, Rupam
2018
Some $$q$$-binomial identities involving the generalized $$q$$-Fibonacci numbers. Zbl 1454.11038
Munarini, Emanuele
2018
Ulam sequences and Ulam sets. Zbl 1452.11027
Kravitz, Noah; Steinerberger, Stefan
2018
The denominators of power sums of arithmetic progressions. Zbl 1423.11029
Kellner, Bernd C.; Sondow, Jonathan
2018
On Diophantine equations involving sums of Fibonacci numbers and powers of 2. Zbl 1416.11047
Chim, Kwok Chi; Ziegler, Volker
2018
A generalization of an identity due to Kimura and Ruehr. Zbl 1417.05016
Allouche, J.-P.
2018
2-adic valuations of generalized Fibonacci numbers of odd order. Zbl 1439.11053
Young, Paul Thomas
2018
On pattern avoiding indecomposable permutations. Zbl 1415.05003
Gao, Alice L. L.; Kitaev, Sergey; Zhang, Philip B.
2018
The largest known Wieferich numbers. Zbl 1439.11008
Akbary, Amir; Siavashi, Sahar
2018
Optimal point sets determining few distinct triangles. Zbl 1416.05061
Epstein, Alyssa; Lott, Adam; Miller, Steven J.; Palsson, Eyvindur A.
2018
Generalized Eulerian polynomials and some applications. Zbl 1435.11046
Pita-Ruiz, Claudio
2018
Fixed points of morphisms among binary generalized pseudostandard words. Zbl 1416.68142
Velká, Tereza; Dvořáková, L&rsquo;ubomíra
2018
A generalization of congruence properties for a restricted partition function. Zbl 1454.11182
Kronholm, Brandt; Rehmert, Jonathan
2018
Memorial to Javier Cilleruelo: a problem list. Zbl 1412.11055
Candela, Pablo; Rué, Juanjo; Serra, Oriol
2018
Square classes and divisibility properties of Stern polynomials. Zbl 1414.11040
Dilcher, Karl; Tomkins, Hayley
2018
Nondefective integers with respect to certain Lucas sequences of the second kind. Zbl 1412.11025
Somer, Lawrence; Křížek, Michal
2018
Packing sets over finite abelian groups. Zbl 1446.11022
Roche-Newton, Oliver; Shkredov, Ilya D.; Winterhof, Arne
2018
Hyperharmonic numbers can rarely be integers. Zbl 1416.11049
Alkan, Emre; Göral, Haydar; Sertbaş, Doğa Can
2018
Symmetric (not complete intersection) numerical semigroups generated by five elements. Zbl 1450.20018
Fel, Leonid G.
2018
Combinatorial proofs of identities of Alzer and prodinger and some generalizations. Zbl 1416.05041
Engbers, John; Stocker, Christopher
2018
Arithmetic of the Fabius function. Zbl 1423.26009
Arias de Reyna, J.
2018
Major index over descent for pattern-avoiding permutations. Zbl 1416.05012
Keith, William J.
2018
An exponential limit shape of random $$q$$-proportion Bulgarian solitaire. Zbl 1422.91163
Eriksson, Kimmo; Jonsson, Markus; Sjöstrand, Jonas
2018
Estimates for $$\pi(x)$$ for large values of $$x$$ and Ramanujan’s prime counting inequality. Zbl 1435.11125
Axler, Christian
2018
On shortened recurrence relations for Genocchi numbers and polynomials. Zbl 1452.11024
Agoh, Takashi
2018
Ruth-Aaron pairs containing Riesel or Sierpiński numbers. Zbl 1448.11007
Emadian, Elliot R.; Finch-Smith, Carrie E.; Kallus, Margaret G.
2018
Aliquot sequences with small starting values. Zbl 1445.11004
Bosma, Wieb
2018
When the small divisors of a natural number are in arithmetic progression. Zbl 1453.11016
Iannucci, Douglas E.
2018
Almost gap balancing numbers. Zbl 07069762
Bartz, Jeremiah; Dearden, Bruce; Iiams, Joel
2018
The bidirectional ballot polytope. Zbl 1444.11025
Miller, Steven J.; Peterson, Carsten; Sprunger, Carsten; van Peski, Roger
2018
Density of singular pairs of integers. Zbl 1430.11134
Nedela, Roman; Pomerance, Carl
2018
Lattice point visibility on power functions. Zbl 1440.11189
Harris, Pamela E.; Omar, Mohamed
2018
A generalized Binet formula that counts the tilings of a $$2\times N$$-board. Zbl 1444.05019
Kahkeshani, Reza; Arab, Meysam
2018
Substitution invariant Sturmian words and binary trees. Zbl 1416.05008
Dekking, Michel
2018
Finding the four squares in Lagrange’s theorem. Zbl 1441.11078
Pollack, Paul; Treviño, Enrique
2018
Connected components of the graph generated by power maps in prime finite fields. Zbl 1441.05108
2018
Combinatorial properties of poly-Bernoulli relatives. Zbl 1412.11034
Bényi, Beáta; Hajnal, Péter
2017
The 2-adic order of some generalized Fibonacci numbers. Zbl 1377.11021
Lengyel, Tamás; Marques, Diego
2017
Representation of real numbers by the alternating Cantor series. Zbl 1412.11014
Serbenyuk, Symon
2017
Explicit Mertens sums. Zbl 1412.11125
Vanlalngaia, Ramdinmawia
2017
Closed form expressions for the Stirling numbers of the first kind. Zbl 1412.11050
2017
Proof of the prime ladder conjecture. Zbl 1414.05254
Dean, Nathaniel
2017
Multiple harmonic sums and multiple harmonic star sums are (nearly) never integers. Zbl 1412.11063
Hessami Pilehrood, Khodabakhsh; Hessami Pilehrood, Tatiana; Tauraso, Roberto
2017
A simple proof of a conjecture of Dou on (3,7)-regular bipartitions modulo 3. Zbl 1412.11130
2017
Avoiding zero-sum sequences of prescribed length over the integers. Zbl 1412.11017
Augspurger, C.; Minter, M.; Shoukry, K.; Sissokho, P.; Voss, K.
2017
A generalized Stern-Brocot tree. Zbl 1412.11009
Aiylam, Dhroova
2017
Congruences for 1-shell totally symmetric plane partitions. Zbl 1412.11132
Chern, Shane
2017
Sum of two repdigits a square. Zbl 1412.11011
Goddard, Bart; Rouse, Jeremy
2017
Lower bounds on the weak Schur numbers up to 9 colors. Zbl 1414.05294
Rafilipojaona, Fanasina
2017
A positive-definite ternary quadratic form does not represent all positive integers. Zbl 1412.11065
Doyle, Greg; Williams, Kenneth S.
2017
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#### Cited by 2,270 Authors

 25 Luca, Florian 19 Miller, Steven J. 16 Komatsu, Takao 15 Geroldinger, Alfred 15 Kong, Derong 15 Masáková, Zuzana 14 Berthé, Valérie 14 Gao, Weidong 14 Pelantová, Edita 14 Thuswaldner, Jörg Maximilian 14 Yuan, Pingzhi 13 Grynkiewicz, David J. 13 Shparlinski, Igor E. 13 Steiner, Wolfgang 12 Iosevich, Alex 12 Mansour, Toufik 12 Moree, Pieter 12 Tang, Min 11 Belbachir, Hacene 11 Chen, Yonggao 11 Pomerance, Carl Bernard 11 Ramírez, José Luis 10 Dilcher, Karl 10 Mező, István 10 Nowakowski, Richard J. 10 Pollack, Paul 10 Qi, Feng 10 Schmid, Wolfgang Alexander 10 Shallit, Jeffrey O. 10 Sun, Zhi-Wei 9 Agoh, Takashi 9 Gotti, Felix 9 Liu, Wenan 9 Mahadeva Naika, Megadahalli Sidda 9 Tóth, László 8 Adhikari, Sukumar Das 8 Akiyama, Shigeki 8 Axler, Christian 8 Chern, Shane 8 Li, Wenxia 8 Lin, Bernard L. S. 8 McNew, Nathan 8 Solé, Patrick 8 Tripathi, Amitabha 8 Wang, Liuquan 7 Baker, Simon 7 Barequet, Gill 7 Batir, Necdet 7 Borwein, Jonathan Michael 7 Chu, Hùng Việt 7 Jones, Lenny K. 7 Larsson, Urban 7 Li, Yuanlin 7 O’Neill, Christopher 7 Prodinger, Helmut 7 Serra, Oriol 7 Sha, Min 7 Tauraso, Roberto 7 Yang, Quanhui 7 Zhong, Qinghai 6 Allouche, Jean-Paul Simon 6 Bényi, Beáta 6 Chen, William Yong-Chuan 6 Cilleruelo, Javier 6 Corcino, Roberto Bagsarsa 6 Dantas, Simone 6 Grau, José María 6 Gravier, Sylvain 6 Komornik, Vilmos 6 Mihoubi, Miloud 6 Moll, Victor Hugo 6 Nathanson, Melvyn Bernard 6 Ordaz, Oscar 6 Sahin, Murat 6 Savage, Carla D. 6 Sellers, James Allen 6 Shattuck, Mark A. 6 Shi, Minjia 6 Shkredov, Il’ya Dmitrievich 6 Surer, Paul 6 Vinh, Le Anh 6 Young, Paul Thomas 5 Acikgoz, Mehmet 5 Adell, José Antonio 5 Allaart, Pieter C. 5 Altman, Harry J. 5 Ambrož, Petr 5 Baglini, Lorenzo Luperi 5 Bailey, David Harold 5 Boussayoud, Ali 5 Chabert, Jean-Luc 5 Chapman, Scott Thomas 5 Chen, Shiqiang 5 da Silva, Robson 5 Endrullis, Jörg 5 Guo, Bai-Ni 5 Hindman, Neil 5 Jiang, Kan 5 Kargin, Levent 5 Klop, Jan Willem ...and 2,170 more Authors
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#### Cited in 302 Journals

 162 Journal of Number Theory 138 Integers 89 Discrete Mathematics 78 The Ramanujan Journal 78 International Journal of Number Theory 61 Theoretical Computer Science 48 Journal of Combinatorial Theory. Series A 45 European Journal of Combinatorics 33 Journal of Integer Sequences 30 Mathematics of Computation 29 Monatshefte für Mathematik 28 Journal de Théorie des Nombres de Bordeaux 27 Discrete Applied Mathematics 27 Acta Arithmetica 25 Bulletin of the Australian Mathematical Society 24 Advances in Applied Mathematics 23 Advances in Mathematics 23 Annals of Combinatorics 22 Proceedings of the American Mathematical Society 21 Transactions of the American Mathematical Society 20 Acta Mathematica Hungarica 20 Comptes Rendus. Mathématique. Académie des Sciences, Paris 19 Journal of Mathematical Analysis and Applications 19 Functiones et Approximatio. Commentarii Mathematici 19 The Electronic Journal of Combinatorics 17 Rocky Mountain Journal of Mathematics 17 Applied Mathematics and Computation 15 American Mathematical Monthly 15 Indagationes Mathematicae. New Series 14 Semigroup Forum 13 Israel Journal of Mathematics 12 Annales de l’Institut Fourier 12 Ergodic Theory and Dynamical Systems 12 Linear Algebra and its Applications 11 International Journal of Game Theory 11 Graphs and Combinatorics 11 Science China. Mathematics 10 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 9 Journal of Algebra 9 Turkish Journal of Mathematics 9 Finite Fields and their Applications 8 Archiv der Mathematik 8 Journal of Symbolic Computation 8 International Journal of Foundations of Computer Science 8 Experimental Mathematics 7 Mathematical Proceedings of the Cambridge Philosophical Society 7 Journal of Pure and Applied Algebra 7 Mathematika 7 Journal of Algebraic Combinatorics 7 Journal of Inequalities and Applications 6 Indian Journal of Pure & Applied Mathematics 6 Information Processing Letters 6 Lithuanian Mathematical Journal 6 Quaestiones Mathematicae 6 Bulletin of the Korean Mathematical Society 6 SIAM Journal on Discrete Mathematics 6 Designs, Codes and Cryptography 6 The Australasian Journal of Combinatorics 6 Advances in Difference Equations 6 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 6 RAIRO. Theoretical Informatics and Applications 6 Afrika Matematika 5 Communications in Algebra 5 Periodica Mathematica Hungarica 5 International Journal of Algebra and Computation 5 Aequationes Mathematicae 5 Discrete and Continuous Dynamical Systems 5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 5 Journal of Algebra and its Applications 5 Contributions to Discrete Mathematics 4 Computers & Mathematics with Applications 4 Mathematics Magazine 4 Colloquium Mathematicum 4 Results in Mathematics 4 Discrete & Computational Geometry 4 Revista Matemática Iberoamericana 4 Forum Mathematicum 4 Journal of Mathematical Sciences (New York) 4 Journal of Difference Equations and Applications 4 Boletín de la Sociedad Matemática Mexicana. Third Series 4 Séminaire Lotharingien de Combinatoire 4 Theory of Computing Systems 4 Journal of Combinatorial Optimization 4 Mediterranean Journal of Mathematics 4 Ars Mathematica Contemporanea 4 Journal of Commutative Algebra 4 International Journal of Combinatorics 4 Cryptography and Communications 4 Journal of Applied Mathematics & Informatics 4 Research in Number Theory 4 Korean Journal of Mathematics 3 Journal d’Analyse Mathématique 3 Mathematical Notes 3 Ukrainian Mathematical Journal 3 Journal of Computational and Applied Mathematics 3 Combinatorica 3 Order 3 Journal of the Ramanujan Mathematical Society 3 Elemente der Mathematik 3 Expositiones Mathematicae ...and 202 more Journals
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#### Cited in 52 Fields

 1,385 Number theory (11-XX) 657 Combinatorics (05-XX) 144 Group theory and generalizations (20-XX) 134 Computer science (68-XX) 104 Dynamical systems and ergodic theory (37-XX) 104 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 67 Measure and integration (28-XX) 60 Special functions (33-XX) 54 Convex and discrete geometry (52-XX) 52 Commutative algebra (13-XX) 43 Linear and multilinear algebra; matrix theory (15-XX) 37 Information and communication theory, circuits (94-XX) 31 Probability theory and stochastic processes (60-XX) 25 Order, lattices, ordered algebraic structures (06-XX) 24 Algebraic geometry (14-XX) 24 Numerical analysis (65-XX) 23 Real functions (26-XX) 21 Functions of a complex variable (30-XX) 17 Mathematical logic and foundations (03-XX) 17 Harmonic analysis on Euclidean spaces (42-XX) 16 Field theory and polynomials (12-XX) 14 Associative rings and algebras (16-XX) 11 Geometry (51-XX) 10 Topological groups, Lie groups (22-XX) 10 Sequences, series, summability (40-XX) 10 Abstract harmonic analysis (43-XX) 10 Operations research, mathematical programming (90-XX) 8 Approximations and expansions (41-XX) 8 Quantum theory (81-XX) 6 Nonassociative rings and algebras (17-XX) 6 Ordinary differential equations (34-XX) 6 Manifolds and cell complexes (57-XX) 5 Difference and functional equations (39-XX) 5 General topology (54-XX) 5 Statistics (62-XX) 4 Integral transforms, operational calculus (44-XX) 4 Functional analysis (46-XX) 4 Operator theory (47-XX) 4 Algebraic topology (55-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 General and overarching topics; collections (00-XX) 3 General algebraic systems (08-XX) 3 Potential theory (31-XX) 3 Biology and other natural sciences (92-XX) 2 History and biography (01-XX) 2 Category theory; homological algebra (18-XX) 2 $$K$$-theory (19-XX) 2 Differential geometry (53-XX) 1 Partial differential equations (35-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Mathematics education (97-XX)