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Knopfmacher, Arnold

Author ID: knopfmacher.arnold Recent zbMATH articles by "Knopfmacher, Arnold"
Published as: Knopfmacher, Arnold; Knopfmacher, A.
External Links: ORCID · dblp
Documents Indexed: 184 Publications since 1986, including 2 Additional arXiv Preprints
Reviewing Activity: 36 Reviews
Co-Authors: 43 Co-Authors with 172 Joint Publications
1,958 Co-Co-Authors
all top 5

Serials

7 Ars Combinatoria
7 Quaestiones Mathematicae
6 Discrete Mathematics
6 The Fibonacci Quarterly
5 Journal of Number Theory
5 The Ramanujan Journal
5 Discrete Mathematics and Theoretical Computer Science. DMTCS
4 Discrete Applied Mathematics
4 Journal of Mathematical Analysis and Applications
4 Journal of Approximation Theory
4 Utilitas Mathematica
4 Statistics & Probability Letters
4 JCMCC. The Journal of Combinatorial Mathematics and Combinatorial Computing
4 Aequationes Mathematicae
4 The Electronic Journal of Combinatorics
3 Acta Arithmetica
3 Mathematica Slovaca
3 Discrete Mathematics and Applications
3 The Australasian Journal of Combinatorics
3 Combinatorics, Probability and Computing
3 Online Journal of Analytic Combinatorics
3 Applicable Analysis and Discrete Mathematics
2 International Journal of Mathematics and Mathematical Sciences
2 Journal of Computational and Applied Mathematics
2 Portugaliae Mathematica
2 European Journal of Combinatorics
2 Advances in Applied Mathematics
2 Complex Variables. Theory and Application
2 Analysis
2 Constructive Approximation
2 Bulletin of the Institute of Combinatorics and its Applications
2 Annals of Combinatorics
2 Journal of Integer Sequences
2 International Journal of Number Theory
2 Mathematics in Computer Science
2 Transactions on Combinatorics
2 DML. Discrete Mathematics Letters
1 Indian Journal of Pure & Applied Mathematics
1 Lithuanian Mathematical Journal
1 Linear and Multilinear Algebra
1 Rocky Mountain Journal of Mathematics
1 Applied Mathematics and Computation
1 Archiv der Mathematik
1 BIT
1 Canadian Journal of Mathematics
1 Journal of Combinatorial Theory. Series A
1 Journal of Statistical Planning and Inference
1 Manuscripta Mathematica
1 Mathematika
1 Monatshefte für Mathematik
1 Proceedings of the American Mathematical Society
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Publicationes Mathematicae Debrecen
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Results in Mathematics
1 Revista Colombiana de Matemáticas
1 Theoretical Computer Science
1 Transactions of the American Mathematical Society
1 Bulletin de la Société Matheḿatique de Belgique. Série B
1 Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Computatorica
1 Algorithmica
1 SIAM Journal on Discrete Mathematics
1 Journal of the Australian Mathematical Society. Series A
1 Linear Algebra and its Applications
1 Nieuw Archief voor Wiskunde. Vierde Serie
1 Applicable Algebra in Engineering, Communication and Computing
1 Bulletin Mathématique de la Société des Sciences Mathématiques de Roumanie. Nouvelle Série
1 Journal de Théorie des Nombres de Bordeaux
1 PU.M.A. Pure Mathematics and Applications
1 Congressus Numerantium
1 Journal of Difference Equations and Applications
1 Journal of Automata, Languages and Combinatorics
1 Fundamenta Informaticae
1 Integers
1 Contributions to Discrete Mathematics
1 Annales Mathematicae et Informaticae
1 Ars Mathematica Contemporanea
1 Discrete Mathematics, Algorithms and Applications

Publications by Year

Citations contained in zbMATH Open

136 Publications have been cited 678 times in 396 Documents Cited by Year
Combinatorial parameters in bargraphs. Zbl 1423.05011
Blecher, Aubrey; Brennan, Charlotte; Knopfmacher, Arnold
49
2016
Levels in bargraphs. Zbl 1329.05013
Blecher, Aubrey; Brennan, Charlotte; Knopfmacher, Arnold
28
2015
Analysis of some new partition statistics. Zbl 1113.05012
Grabner, Peter J.; Knopfmacher, Arnold
21
2006
Graphs, partitions and Fibonacci numbers. Zbl 1121.05031
Knopfmacher, Arnold; Tichy, Robert F.; Wagner, Stephan; Ziegler, Volker
18
2007
Mean convergence of Lagrange interpolation for Freud’s weights with application to product integration rules. Zbl 0634.41003
Knopfmacher, Arnold; Lubinsky, D. S.
16
1987
A survey of factorization counting functions. Zbl 1084.11003
Knopfmacher, A.; Mays, M. E.
14
2005
A general asymptotic scheme for the analysis of partition statistics. Zbl 1304.11123
Grabner, Peter J.; Knopfmacher, Arnold; Wagner, Stephan
13
2014
Lüroth-type alternating series representations for real numbers. Zbl 0702.11048
Kalpazidou, Sofia; Knopfmacher, Arnold; Knopfmacher, John
13
1990
Inverse polynomial expansions of Laurent series. Zbl 0659.41024
Knopfmacher, Arnold; Knopfmacher, John
13
1988
On Carlitz compositions. Zbl 0902.05004
Knopfmacher, Arnold; Prodinger, Helmut
12
1998
Counting irreducible factors of polynomials over a finite field. Zbl 0785.11055
Knopfmacher, Arnold; Knopfmacher, John
11
1993
An infinite family of Engel expansions of Rogers-Ramanujan type. Zbl 0972.11068
Andrews, George E.; Knopfmacher, Arnold; Paule, Peter
11
2000
Successions in words and compositions. Zbl 1256.05006
Knopfmacher, Arnold; Munagi, Augustine; Wagner, Stephan
10
2012
Metric properties of alternating Lüroth series. Zbl 0735.11035
Kalpazidou, Sofia; Knopfmacher, Arnold; Knopfmacher, John
10
1991
Walls in bargraphs. Zbl 1372.05008
Blecher, Aubrey; Brennan, Charlotte; Knopfmacher, Arnold
10
2017
Counting polynomials with a given number of zeros in a finite field. Zbl 0699.12028
Knopfmacher, Arnold; Knopfmacher, John
10
1990
The perimeter of words. Zbl 1367.05031
Blecher, Aubrey; Brennan, Charlotte; Knopfmacher, Arnold; Mansour, Toufik
10
2017
Successions in integer partitions. Zbl 1225.11129
Knopfmacher, Arnold; Munagi, Augustine O.
9
2009
Combinatorics of geometrically distributed random variables: Value and position of the \(r\)th left-to-right maximum. Zbl 0969.60014
Knopfmacher, Arnold; Prodinger, Helmut
9
2001
The number of distinct values in a geometrically distributed sample. Zbl 1102.60004
Archibald, Margaret; Knopfmacher, Arnold; Prodinger, Helmut
8
2006
Distinct degree factorizations for polynomials over a finite field. Zbl 0834.11054
Knopfmacher, Arnold; Warlimont, Richard
8
1995
The height and width of bargraphs. Zbl 1303.05045
Blecher, Aubrey; Brennan, Charlotte; Knopfmacher, Arnold; Prodinger, Helmut
8
2015
Gap-free compositions and gap-free samples of geometric random variables. Zbl 1062.05013
Hitczenko, Paweł; Knopfmacher, Arnold
8
2005
Average order in cyclic groups. Zbl 1079.11003
von zur Gathen, Joachim; Knopfmacher, Arnold; Luca, Florian; Lucht, Lutz G.; Shparlinski, Igor E.
8
2004
Freud’s conjecture and approximation of reciprocals of weights by polynomials. Zbl 0646.41002
Knopfmacher, Arnold; Lubinsky, D. S.; Nevai, P.
8
1988
The exact length of the Euclidean algorithm in \({\mathbb{F}}_ q[X]\). Zbl 0676.12004
Knopfmacher, Arnold; Knopfmacher, John
8
1988
Inverse polynomial expansions of Laurent series. II. Zbl 0684.30030
Knopfmacher, Arnold; Knopfmacher, John
8
1989
“Factorisatio numerorum” in arithmetical semigroups. Zbl 0772.11038
Knopfmacher, Arnold; Knopfmacher, John; Warlimont, Richard
7
1992
Analytic properties of power product expansions. Zbl 0842.41006
Gingold, H.; Knopfmacher, A.
7
1995
Records in set partitions. Zbl 1193.05024
Knopfmacher, Arnold; Mansour, Toufik; Wagner, Stephan
7
2010
Positive convergent approximation operators associated with orthogonal polynomials for weights on the whole real line. Zbl 0604.41025
Knopfmacher, Arnold
7
1986
Staircase words and Chebyshev polynomials. Zbl 1299.05003
Knopfmacher, Arnold; Mansour, Toufik; Munagi, Augustine; Prodinger, Helmut
7
2010
Arithmetical semigroups related to trees and polyhedra. Zbl 0918.05006
Knopfmacher, A.; Knopfmacher, J.
7
1999
The site-perimeter of permutations. Zbl 1368.05003
Blecher, Aubrey; Brennan, Charlotte; Knopfmacher, Arnold
6
2016
Counting corners in partitions. Zbl 1332.05014
Blecher, Aubrey; Brennan, Charlotte; Knopfmacher, Arnold; Mansour, Toufik
6
2016
The distribution of ascents of size \(d\) or more in compositions. Zbl 1193.68179
Brennan, Charlotte Alix; Knopfmacher, Arnold
6
2009
Some properties of cyclic compositions. Zbl 1217.11091
Knopfmacher, Arnold; Robbins, Neville
6
2010
Engel expansions and the Rogers-Ramanujan identities. Zbl 0954.11028
Andrews, George E.; Knopfmacher, Arnold; Knopfmacher, John
6
2000
Smooth compositions and smooth words. Zbl 1265.05016
Knopfmacher, Arnold; Mansour, Toufik; Munagi, Augustine
6
2011
Two concrete new constructions of the real numbers. Zbl 0677.10006
Knopfmacher, Arnold; Knopfmacher, John
6
1988
Inversions in compositions of integers. Zbl 1274.05018
Heubach, Silvia; Knopfmacher, Arnold; Mays, Michael E.; Munagi, Augustine O.
6
2011
Durfee squares in compositions. Zbl 1409.05023
Archibald, Margaret; Blecher, Aubrey; Brennan, Charlotte; Knopfmacher, Arnold; Mansour, Toufik
5
2018
\(q\)-Engel series expansions and Slater’s identities. Zbl 1024.11054
Andrews, George E.; Knopfmacher, Arnold; Paule, Peter; Prodinger, Helmut
5
2001
Alternating Balkema-Oppenheim expansions of real numbers. Zbl 0762.11002
Indlekofer, Karl-Heinz; Knopfmacher, Arnold; Knopfmacher, John
5
1992
The distribution of ascents of size \(d\) or more in partitions of \(n\). Zbl 1246.11166
Brennan, Charlotte; Knopfmacher, Arnold; Wagner, Stephan
5
2008
Compositions with distinct parts. Zbl 0824.11065
Richmond, B.; Knopfmacher, A.
5
1995
On the cyclotomic identity and related product expansions. Zbl 0808.05006
Buchanan, Hollie L.; Knopfmacher, Arnold; Mays, Michael E.
5
1993
On the probability that certain compositions have the same number of parts. Zbl 1233.05005
Bóna, Miklós; Knopfmacher, Arnold
5
2010
Two constructions of the real numbers via alternating series. Zbl 0683.10008
Knopfmacher, Arnold; Knopfmacher, John
5
1989
The asymptotic number of set partitions with unequal block sizes. Zbl 0913.05008
Knopfmacher, A.; Odlyzko, A. M.; Pittel, B.; Richmond, L. B.; Stark, D.; Szekeres, George; Wormald, N. C.
5
1999
Shedding light on words. Zbl 1499.05027
Archibald, Margaret; Blecher, Aubrey; Brennan, Charlotte; Knopfmacher, Arnold; Mansour, Toufik
5
2017
Fixed points in compositions and words. Zbl 1451.05005
Archibald, M.; Blecher, A.; Knopfmacher, A.
4
2020
Set partition asymptotics and a conjecture of Gould and Quaintance. Zbl 1305.05016
Asakly, Walaa; Blecher, Aubrey; Brennan, Charlotte; Knopfmacher, Arnold; Mansour, Toufik; Wagner, Stephan
4
2014
Identities for the total number of parts in partitions of integers. Zbl 1067.05008
Knopfmacher, Arnold; Robbins, Neville
4
2005
Reciprocal sums over partitions and compositions. Zbl 0783.05004
Knopfmacher, A.; Ridley, J. N.
4
1993
A new infinite product representation for real numbers. Zbl 0624.10008
Knopfmacher, Arnold; Knopfmacher, John
4
1987
Combinatorics of geometrically distributed random variables: Run statistics. Zbl 1018.05004
Grabner, Peter J.; Knopfmacher, Arnold; Prodinger, Helmut
4
2003
Graph compositions. I: Basic enumeration. Zbl 0979.05062
Knopfmacher, A.; Mays, M. E.
4
2001
Record statistics in a random composition. Zbl 1239.05011
Knopfmacher, Arnold; Mansour, Toufik
4
2012
Analogues of Freud’s conjecture for Erdős type weights and related polynomial approximation problems. Zbl 0638.41009
Knopfmacher, Arnold; Lubinsky, D. S.
4
1987
Pointwise convergence of Lagrange interpolation based at the zeros of orthonormal polynomials with respect to weights on the whole real line. Zbl 0653.41002
Knopfmacher, Arnold
4
1987
Series expansions in \(p\)-adic and other non-archimedean fields. Zbl 0683.10030
Knopfmacher, A.; Knopfmacher, J.
4
1989
Capacity of words. Zbl 1415.05001
Blecher, Aubrey; Brennan, Charlotte; Knopfmacher, Arnold
4
2018
Water capacity of Dyck paths. Zbl 1427.05005
Blecher, Aubrey; Brennan, Charlotte; Knopfmacher, Arnold
4
2020
The site-perimeter of words. Zbl 1463.05011
Blecher, Aubrey; Brennan, Charlotte; Knopfmacher, Arnold; Mansour, Toufik
3
2017
Compositions with \(m\) distinct parts. Zbl 0994.05016
Knopfmacher, Arnold; Mays, M. E.
3
1999
Compositions with parts constrained by the leading summand. Zbl 1142.05306
Knopfmacher, Arnold; Robbins, Neville
3
2005
The first ascent of size \(d\) or more in compositions. Zbl 1190.11055
Brennan, Charlotte; Knopfmacher, Arnold
3
2006
Run statistics for geometrically distributed random variables. (Extended abstract). Zbl 0964.60009
Grabner, Peter J.; Knopfmacher, Arnold; Prodinger, Helmut
3
2000
The distribution of values of polynomials over a finite field. Zbl 0705.11077
Knopfmacher, Arnold; Knopfmacher, John
3
1990
The length of the continued fraction expansion for a class of rational functions in \({\mathbb{F}}_ q(X)\). Zbl 0716.11061
Knopfmacher, Arnold
3
1991
The radius of convergence of power product expansions. Zbl 0722.41020
Knopfmacher, Arnold; Lucht, Lutz
3
1991
Unique factorizations of formal power series. Zbl 0728.30003
Knopfmacher, A.; Knopfmacher, J.; Ridley, J. N.
3
1990
Metric properties of algorithms inducing Lüroth series expansions of Laurent series. Zbl 0788.11031
Knopfmacher, John; Knopfmacher, Arnold
3
1992
The zero distribution of the partial products of power product expansions. Zbl 0802.30006
Gingold, H.; Knopfmacher, A.; Lubinsky, D. S.
3
1993
Metric properties of Engel series expansions of Laurent series. Zbl 0939.11029
Grabner, Peter J.; Knopfmacher, Arnold
3
1998
An algorithmic approach to discovering and proving \(q\)-series identities. Zbl 0987.33009
Andrews, G. E.; Knopfmacher, A.
3
2001
A simple card guessing game revisited. Zbl 0991.05004
Knopfmacher, Arnold; Prodinger, Helmut
3
2001
Geometric random variables: descents following maxima. Zbl 1357.05005
Archibald, Margaret; Blecher, Aubrey; Brennan, Charlotte; Knopfmacher, Arnold; Prodinger, Helmut
3
2017
Descents after maxima in compositions. Zbl 1288.05019
Blecher, Aubrey; Brennan, Charlotte; Knopfmacher, Arnold
3
2014
The sum of distinct parts in compositions and partitions. Zbl 0913.05001
Knopfmacher, Arnold; Mays, M. E.
3
1999
The water capacity of integer compositions. Zbl 1406.05005
Blecher, Aubrey; Brennan, Charlotte; Knopfmacher, Arnold
3
2018
The inner site-perimeter of compositions. Zbl 1432.05008
Blecher, Aubrey; Brennan, Charlotte; Knopfmacher, Arnold
3
2020
The largest missing value in a composition of an integer. Zbl 1226.05037
Archibald, Margaret; Knopfmacher, Arnold
3
2011
The average position of the \(d\)th maximum in a sample of geometric random variables. Zbl 1159.60300
Archibald, Margaret; Knopfmacher, Arnold
2
2009
Dirichlet generating functions and factorization identities. Zbl 1097.05004
Knopfmacher, A.; Mays, M. E.
2
2005
On binary and Fibonacci compositions. Zbl 1108.11014
Knopfmacher, A.; Robbins, N.
2
2003
Lengths of factorizations for polynomials over a finite field. Zbl 0812.11067
Knopfmacher, A.; Knopfmacher, J.; Warlimont, R.
2
1994
Infinite product factorizations of analytic functions. Zbl 0747.30003
Knopfmacher, Arnold
2
1991
The distribution of ascents of size \(d\) or more in samples of geometric random variables. Zbl 1099.68683
Brennan, Charlotte; Knopfmacher, Arnold
2
2005
Counting permutations and polynomials with a restricted factorization pattern. Zbl 0845.05004
Knopfmacher, Arnold; Warlimont, Richard
2
1996
Explicit and asymptotic formulae for the expected values of the order statistics of the Cantor distribution. Zbl 0849.62027
Knopfmacher, Arnold; Prodinger, Helmut
2
1996
Arithmetic and metric properties of \(p\)-adic Engel series expansions. Zbl 1050.11070
Grabner, P. J.; Knopfmacher, A.
2
2003
The average position of the first maximum in a sample of geometric random variables. Zbl 1192.68939
Archibald, Margaret; Knopfmacher, Arnold
2
2007
The largest missing value in a sample of geometric random variables. Zbl 1319.60008
Archibald, Margaret; Knopfmacher, Arnold
2
2014
Infinite products for power series. Zbl 0704.41013
Knopfmacher, Arnold; Knopfmacher, John
2
1989
Ordered factorizations for integers and arithmetical semigroups. Zbl 0805.11069
Knopfmacher, A.; Knopfmacher, J.; Warlimont, R.
2
1993
Variation statistics on compositions. Zbl 1244.62016
Archibald, Margaret; Knopfmacher, Arnold; Mansour, Toufik
2
2012
A new construction of the real numbers (via infinite products). Zbl 0624.10007
Knopfmacher, Arnold; Knopfmacher, John
2
1987
Descents following maximal values in samples of geometric random variables. Zbl 1310.05017
Archibald, Margaret; Blecher, Aubrey; Brennan, Charlotte; Knopfmacher, Arnold
2
2015
Fixed points and matching points in partitions. Zbl 1486.05021
Blecher, Aubrey; Knopfmacher, Arnold
1
2022
Alphabetic points in compositions and words. Zbl 07388107
Archibald, Margaret; Blecher, Aubrey; Knopfmacher, Arnold
2
2021
The inner site-perimeter of bargraphs. Zbl 1469.05029
Blecher, Aubrey; Brennan, Charlotte; Knopfmacher, Arnold
1
2021
Fixed points in compositions and words. Zbl 1451.05005
Archibald, M.; Blecher, A.; Knopfmacher, A.
4
2020
Water capacity of Dyck paths. Zbl 1427.05005
Blecher, Aubrey; Brennan, Charlotte; Knopfmacher, Arnold
4
2020
The inner site-perimeter of compositions. Zbl 1432.05008
Blecher, Aubrey; Brennan, Charlotte; Knopfmacher, Arnold
3
2020
Pushes in permutations. Zbl 1467.05002
Blecher, Aubrey; Brennan, Charlotte; Knopfmacher, Arnold; Mansour, Toufik; Shattuck, Mark
1
2020
Capacity of permutations. Zbl 1449.05002
Blecher, Aubrey; Brennan, Charlotte; Knopfmacher, Arnold; Shattuck, Mark
2
2019
Compositions with a fixed number of inversions. Zbl 1429.05004
Knopfmacher, A.; Mays, M. E.; Wagner, S.
1
2019
Durfee squares in compositions. Zbl 1409.05023
Archibald, Margaret; Blecher, Aubrey; Brennan, Charlotte; Knopfmacher, Arnold; Mansour, Toufik
5
2018
Capacity of words. Zbl 1415.05001
Blecher, Aubrey; Brennan, Charlotte; Knopfmacher, Arnold
4
2018
The water capacity of integer compositions. Zbl 1406.05005
Blecher, Aubrey; Brennan, Charlotte; Knopfmacher, Arnold
3
2018
Walls in bargraphs. Zbl 1372.05008
Blecher, Aubrey; Brennan, Charlotte; Knopfmacher, Arnold
10
2017
The perimeter of words. Zbl 1367.05031
Blecher, Aubrey; Brennan, Charlotte; Knopfmacher, Arnold; Mansour, Toufik
10
2017
Shedding light on words. Zbl 1499.05027
Archibald, Margaret; Blecher, Aubrey; Brennan, Charlotte; Knopfmacher, Arnold; Mansour, Toufik
5
2017
The site-perimeter of words. Zbl 1463.05011
Blecher, Aubrey; Brennan, Charlotte; Knopfmacher, Arnold; Mansour, Toufik
3
2017
Geometric random variables: descents following maxima. Zbl 1357.05005
Archibald, Margaret; Blecher, Aubrey; Brennan, Charlotte; Knopfmacher, Arnold; Prodinger, Helmut
3
2017
Combinatorial parameters in bargraphs. Zbl 1423.05011
Blecher, Aubrey; Brennan, Charlotte; Knopfmacher, Arnold
49
2016
The site-perimeter of permutations. Zbl 1368.05003
Blecher, Aubrey; Brennan, Charlotte; Knopfmacher, Arnold
6
2016
Counting corners in partitions. Zbl 1332.05014
Blecher, Aubrey; Brennan, Charlotte; Knopfmacher, Arnold; Mansour, Toufik
6
2016
Partitions according to multiplicities and part sizes. Zbl 1375.05016
Archibald, Margaret; Blecher, Aubrey; Brennan, Charlotte; Knopfmacher, Arnold; Mansour, Toufik
1
2016
Levels in bargraphs. Zbl 1329.05013
Blecher, Aubrey; Brennan, Charlotte; Knopfmacher, Arnold
28
2015
The height and width of bargraphs. Zbl 1303.05045
Blecher, Aubrey; Brennan, Charlotte; Knopfmacher, Arnold; Prodinger, Helmut
8
2015
Descents following maximal values in samples of geometric random variables. Zbl 1310.05017
Archibald, Margaret; Blecher, Aubrey; Brennan, Charlotte; Knopfmacher, Arnold
2
2015
Greatest descents after any maxima in compositions. Zbl 1329.05012
Archibald, Margaret; Blecher, Aubrey; Brennan, Charlotte; Knopfmacher, Arnold
1
2015
A general asymptotic scheme for the analysis of partition statistics. Zbl 1304.11123
Grabner, Peter J.; Knopfmacher, Arnold; Wagner, Stephan
13
2014
Set partition asymptotics and a conjecture of Gould and Quaintance. Zbl 1305.05016
Asakly, Walaa; Blecher, Aubrey; Brennan, Charlotte; Knopfmacher, Arnold; Mansour, Toufik; Wagner, Stephan
4
2014
Descents after maxima in compositions. Zbl 1288.05019
Blecher, Aubrey; Brennan, Charlotte; Knopfmacher, Arnold
3
2014
The largest missing value in a sample of geometric random variables. Zbl 1319.60008
Archibald, Margaret; Knopfmacher, Arnold
2
2014
Some properties of dihedral compositions. Zbl 1293.05008
Knopfmacher, Arnold; Robbins, Neville
2
2013
The height of two types of generalised Motzkin paths. Zbl 1408.05006
Brennan, Charlotte; Knopfmacher, Arnold
2
2013
Smallest parts in compositions. Zbl 1271.05010
Knopfmacher, Arnold; Munagi, Augustine O.
1
2013
Successions in words and compositions. Zbl 1256.05006
Knopfmacher, Arnold; Munagi, Augustine; Wagner, Stephan
10
2012
Record statistics in a random composition. Zbl 1239.05011
Knopfmacher, Arnold; Mansour, Toufik
4
2012
Variation statistics on compositions. Zbl 1244.62016
Archibald, Margaret; Knopfmacher, Arnold; Mansour, Toufik
2
2012
Digit sums of binomial sums. Zbl 1261.11005
Knopfmacher, Arnold; Luca, Florian
2
2012
Permutations with interval cycles. Zbl 1274.05008
Knopfmacher, Arnold; Munagi, Augustine O.
1
2012
Up-smooth samples of geometric variables. Zbl 1318.60018
Knopfmacher, Arnold; Mansour, Toufik
1
2012
Smooth compositions and smooth words. Zbl 1265.05016
Knopfmacher, Arnold; Mansour, Toufik; Munagi, Augustine
6
2011
Inversions in compositions of integers. Zbl 1274.05018
Heubach, Silvia; Knopfmacher, Arnold; Mays, Michael E.; Munagi, Augustine O.
6
2011
The largest missing value in a composition of an integer. Zbl 1226.05037
Archibald, Margaret; Knopfmacher, Arnold
3
2011
Separation of the maxima in samples of geometric random variables. Zbl 1299.60007
Brennan, Charlotte; Wagner, Stephan; Knopfmacher, Arnold; Mansour, Toufik
2
2011
On cyclic compositions of positive integers. Zbl 1237.11008
Knopfmacher, Arnold; Luca, Florian; Robbins, Neville
1
2011
Records in set partitions. Zbl 1193.05024
Knopfmacher, Arnold; Mansour, Toufik; Wagner, Stephan
7
2010
Staircase words and Chebyshev polynomials. Zbl 1299.05003
Knopfmacher, Arnold; Mansour, Toufik; Munagi, Augustine; Prodinger, Helmut
7
2010
Some properties of cyclic compositions. Zbl 1217.11091
Knopfmacher, Arnold; Robbins, Neville
6
2010
On the probability that certain compositions have the same number of parts. Zbl 1233.05005
Bóna, Miklós; Knopfmacher, Arnold
5
2010
Compositions and samples of geometric random variables with constrained multiplicities. Zbl 1374.05224
Archibald, Margaret; Knopfmacher, Arnold; Mansour, Toufik
1
2010
Successions in integer partitions. Zbl 1225.11129
Knopfmacher, Arnold; Munagi, Augustine O.
9
2009
The distribution of ascents of size \(d\) or more in compositions. Zbl 1193.68179
Brennan, Charlotte Alix; Knopfmacher, Arnold
6
2009
The average position of the \(d\)th maximum in a sample of geometric random variables. Zbl 1159.60300
Archibald, Margaret; Knopfmacher, Arnold
2
2009
Record statistics in integer compositions. Zbl 1391.05041
Knopfmacher, Arnold; Mansour, Toufik
1
2009
The distribution of ascents of size \(d\) or more in partitions of \(n\). Zbl 1246.11166
Brennan, Charlotte; Knopfmacher, Arnold; Wagner, Stephan
5
2008
Graphs, partitions and Fibonacci numbers. Zbl 1121.05031
Knopfmacher, Arnold; Tichy, Robert F.; Wagner, Stephan; Ziegler, Volker
18
2007
The average position of the first maximum in a sample of geometric random variables. Zbl 1192.68939
Archibald, Margaret; Knopfmacher, Arnold
2
2007
The last descent in samples of geometric random variables and permutations. Zbl 1174.05005
Knopfmacher, Arnold; Prodinger, Helmut
1
2007
Analysis of some new partition statistics. Zbl 1113.05012
Grabner, Peter J.; Knopfmacher, Arnold
21
2006
The number of distinct values in a geometrically distributed sample. Zbl 1102.60004
Archibald, Margaret; Knopfmacher, Arnold; Prodinger, Helmut
8
2006
The first ascent of size \(d\) or more in compositions. Zbl 1190.11055
Brennan, Charlotte; Knopfmacher, Arnold
3
2006
Gaps in integer partitions. Zbl 1116.11087
Knopfmacher, Arnold; Warlimont, Richard
1
2006
The first descent in samples of geometric random variables and permutations. Zbl 1153.05004
Knopfmacher, Arnold; Prodinger, Helmut
1
2006
On the number of distinct multinomial coefficients. Zbl 1099.11005
Andrews, George E.; Knopfmacher, Arnold; Zimmermann, Burkhard
1
2006
A survey of factorization counting functions. Zbl 1084.11003
Knopfmacher, A.; Mays, M. E.
14
2005
Gap-free compositions and gap-free samples of geometric random variables. Zbl 1062.05013
Hitczenko, Paweł; Knopfmacher, Arnold
8
2005
Identities for the total number of parts in partitions of integers. Zbl 1067.05008
Knopfmacher, Arnold; Robbins, Neville
4
2005
Compositions with parts constrained by the leading summand. Zbl 1142.05306
Knopfmacher, Arnold; Robbins, Neville
3
2005
Dirichlet generating functions and factorization identities. Zbl 1097.05004
Knopfmacher, A.; Mays, M. E.
2
2005
The distribution of ascents of size \(d\) or more in samples of geometric random variables. Zbl 1099.68683
Brennan, Charlotte; Knopfmacher, Arnold
2
2005
The first and last ascents of size \(d\) or more in samples of geometric random variables. Zbl 1086.05009
Brennan, Charlotte; Knopfmacher, Arnold
1
2005
Average order in cyclic groups. Zbl 1079.11003
von zur Gathen, Joachim; Knopfmacher, Arnold; Luca, Florian; Lucht, Lutz G.; Shparlinski, Igor E.
8
2004
The number of descents in samples of geometric random variables. Zbl 1057.60011
Knopfmacher, Arnold; Prodinger, Helmut
1
2004
Combinatorics of geometrically distributed random variables: Run statistics. Zbl 1018.05004
Grabner, Peter J.; Knopfmacher, Arnold; Prodinger, Helmut
4
2003
On binary and Fibonacci compositions. Zbl 1108.11014
Knopfmacher, A.; Robbins, N.
2
2003
Arithmetic and metric properties of \(p\)-adic Engel series expansions. Zbl 1050.11070
Grabner, P. J.; Knopfmacher, A.
2
2003
Combinatorics of geometrically distributed random variables: Value and position of the \(r\)th left-to-right maximum. Zbl 0969.60014
Knopfmacher, Arnold; Prodinger, Helmut
9
2001
\(q\)-Engel series expansions and Slater’s identities. Zbl 1024.11054
Andrews, George E.; Knopfmacher, Arnold; Paule, Peter; Prodinger, Helmut
5
2001
Graph compositions. I: Basic enumeration. Zbl 0979.05062
Knopfmacher, A.; Mays, M. E.
4
2001
An algorithmic approach to discovering and proving \(q\)-series identities. Zbl 0987.33009
Andrews, G. E.; Knopfmacher, A.
3
2001
A simple card guessing game revisited. Zbl 0991.05004
Knopfmacher, Arnold; Prodinger, Helmut
3
2001
Some arithmetic properties of Eulerian numbers. Zbl 0986.11001
Knopfmacher, Arnold; Robbins, Neville
2
2001
Engel expansions of \(q\)-series by computer algebra. Zbl 1055.33018
Andrews, George E.; Knopfmacher, Arnold; Paule, Peter; Zimmermann, Burkhard
1
2001
An infinite family of Engel expansions of Rogers-Ramanujan type. Zbl 0972.11068
Andrews, George E.; Knopfmacher, Arnold; Paule, Peter
11
2000
Engel expansions and the Rogers-Ramanujan identities. Zbl 0954.11028
Andrews, George E.; Knopfmacher, Arnold; Knopfmacher, John
6
2000
Run statistics for geometrically distributed random variables. (Extended abstract). Zbl 0964.60009
Grabner, Peter J.; Knopfmacher, Arnold; Prodinger, Helmut
3
2000
Arithmetical semigroups related to trees and polyhedra. Zbl 0918.05006
Knopfmacher, A.; Knopfmacher, J.
7
1999
The asymptotic number of set partitions with unequal block sizes. Zbl 0913.05008
Knopfmacher, A.; Odlyzko, A. M.; Pittel, B.; Richmond, L. B.; Stark, D.; Szekeres, George; Wormald, N. C.
5
1999
Compositions with \(m\) distinct parts. Zbl 0994.05016
Knopfmacher, Arnold; Mays, M. E.
3
1999
The sum of distinct parts in compositions and partitions. Zbl 0913.05001
Knopfmacher, Arnold; Mays, M. E.
3
1999
On Carlitz compositions. Zbl 0902.05004
Knopfmacher, Arnold; Prodinger, Helmut
12
1998
Metric properties of Engel series expansions of Laurent series. Zbl 0939.11029
Grabner, Peter J.; Knopfmacher, Arnold
3
1998
Nets and sequences obtained from irreducible polynomials over finite fields. Zbl 0932.11075
Knopfmacher, A.; Ridley, J. N.; Mullen, G. L.
1
1998
On the largest degree of an irreducible factor of a polynomial in \(\mathbb{F}_q[X]\). Zbl 0958.11078
Knopfmacher, A.; Manstavičius, E.
1
1997
Counting permutations and polynomials with a restricted factorization pattern. Zbl 0845.05004
Knopfmacher, Arnold; Warlimont, Richard
2
1996
Explicit and asymptotic formulae for the expected values of the order statistics of the Cantor distribution. Zbl 0849.62027
Knopfmacher, Arnold; Prodinger, Helmut
2
1996
Metric properties of some special \(p\)-adic series expansions. Zbl 0858.11040
Knopfmacher, Arnold; Knopfmacher, John
1
1996
Distinct degree factorizations for polynomials over a finite field. Zbl 0834.11054
Knopfmacher, Arnold; Warlimont, Richard
8
1995
Analytic properties of power product expansions. Zbl 0842.41006
Gingold, H.; Knopfmacher, A.
7
1995
Compositions with distinct parts. Zbl 0824.11065
Richmond, B.; Knopfmacher, A.
5
1995
Pierce expansions of ratios of Fibonacci and Lucas numbers and polynomials. Zbl 0829.11006
Knopfmacher, Arnold; Mays, M. E.
1
1995
Distinct degree factorizations in additive arithmetical semigroups. Zbl 0848.11045
Knopfmacher, A.; Warlimont, R.
1
1995
...and 36 more Documents
all top 5

Cited by 411 Authors

59 Knopfmacher, Arnold
57 Mansour, Toufik
27 Blecher, Aubrey
18 Shattuck, Mark A.
17 Archibald, Margaret
16 Brennan, Charlotte Alix
12 Lubinsky, Doron S.
12 Prodinger, Helmut
12 Wagner, Stephan G.
10 Shabani, Armend Shaban
9 Knopfmacher, John
8 Hitczenko, Paweł
7 Luca, Florian
7 Merca, Mircea
7 Munagi, Augustine O.
7 Ramírez, José Luis
6 Mhaskar, Hrushikesh N.
5 Cakić, Nenad P.
5 Gingold, Harry
5 Hwang, Hsien-Kuei
5 Louchard, Guy
5 Quaintance, Jocelyn
4 Andrews, George Eyre
4 Kanasri, Narakorn Rompurk
4 Kucukoglu, Irem
4 Mutafchiev, Lyuben R.
4 Panario, Daniel
4 Serbenyuk, Symon Oleksandrovych
4 Simsek, Yilmaz
4 Vallée, Brigitte
3 Ballantine, Cristina M.
3 Berthé, Valérie
3 Bhoria, Subhash Chand
3 Bruyère, Véronique
3 Elizalde, Sergi
3 Eyyunni, Pramod
3 Gao, Zhicheng
3 Goh, William M. Y.
3 Grabner, Peter J.
3 Hopkins, Brian
3 Kim, Dae San
3 Kim, Taekyun
3 Laohakosol, Vichian
3 Maji, Bibekananda
3 Matera, Guillermo
3 Mays, Michael E.
3 Mélot, Hadrien
3 Nakada, Hitoshi
3 Pérez, Mariana
3 Privitelli, Melina
3 Rhoades, Robert C.
3 Saff, Edward Barry
3 Sakai, Ryozi
3 Sellers, James Allen
3 Shen, Luming
3 von zur Gathen, Joachim
3 Wang, Hua
3 Warlimont, Richard
3 Yaqubi, Daniel
2 Andrade, Enide
2 Asakly, Walaa
2 Banderier, Cyril
2 Bender, Edward Anton
2 Bibiloni, Lluís
2 Burris, Stanley N.
2 Dahl, Geir
2 Deutsch, Emeric
2 Díaz-Mendoza, Carlos
2 Dosal-Trujillo, Loiret Alejandría
2 Elewoday, Mohamed
2 Flórez, Rigoberto
2 Galeana-Sánchez, Hortensia
2 Grübel, Rudolf
2 Hernane, Mohand-Ouamar
2 Jang, Gwan-Woo
2 Jou, Min-Jen
2 Just, Matthew
2 Kalle, Charlene
2 Kane, Daniel M.
2 Kauers, Manuel
2 Kumar, Abhimanyu
2 Levit, Vadim E.
2 Lhote, Loïck
2 Lü, Meiying
2 Ma, Chao
2 Ma, Shi-Mei
2 Maggioni, Marta
2 Mandrescu, Eugen
2 Manstavičius, Eugenijus
2 Mc Laughlin, James G.
2 Mirzavaziri, Madjid
2 Natsui, Rie
2 Nicolas, Jean-Louis
2 Oliver, Kamilla
2 Orive Rodríguez, Ramón Angel
2 Ottolini, Andrea
2 Paradís, Jaume
2 Paule, Peter
2 Pijeira-Cabrera, Héctor
2 Pittel, Boris G.
...and 311 more Authors
all top 5

Cited in 126 Serials

25 Discrete Mathematics
18 Journal of Approximation Theory
16 The Ramanujan Journal
14 Journal of Number Theory
13 Advances in Applied Mathematics
12 Discrete Applied Mathematics
12 Quaestiones Mathematicae
9 Journal of Combinatorial Theory. Series A
9 International Journal of Number Theory
7 The Electronic Journal of Combinatorics
7 Journal of Difference Equations and Applications
7 DML. Discrete Mathematics Letters
6 Journal of Computational and Applied Mathematics
6 European Journal of Combinatorics
6 Linear Algebra and its Applications
6 Finite Fields and their Applications
6 Annals of Combinatorics
6 Integers
5 Journal of Mathematical Analysis and Applications
5 Statistics & Probability Letters
5 Journal of Symbolic Computation
5 Aequationes Mathematicae
5 The Australasian Journal of Combinatorics
5 Mathematics in Computer Science
4 International Journal of Mathematics and Mathematical Sciences
4 Journal de Théorie des Nombres de Bordeaux
4 Combinatorics, Probability and Computing
4 Journal of Automata, Languages and Combinatorics
4 Journal of Discrete Mathematical Sciences & Cryptography
4 Journal of Integer Sequences
4 Online Journal of Analytic Combinatorics
4 Applicable Analysis and Discrete Mathematics
4 Transactions on Combinatorics
3 Lithuanian Mathematical Journal
3 Rocky Mountain Journal of Mathematics
3 Theoretical Computer Science
3 Acta Applicandae Mathematicae
3 Graphs and Combinatorics
3 Constructive Approximation
3 Random Structures & Algorithms
3 Discrete Mathematics and Applications
3 Central European Journal of Mathematics
3 Mediterranean Journal of Mathematics
3 Discrete Mathematics, Algorithms and Applications
2 Bulletin of the Australian Mathematical Society
2 Mathematics of Computation
2 Acta Arithmetica
2 The Annals of Probability
2 Journal of Applied Probability
2 Manuscripta Mathematica
2 Mathematica Slovaca
2 Tokyo Journal of Mathematics
2 Acta Mathematica Hungarica
2 Algorithmica
2 The Annals of Applied Probability
2 Tatra Mountains Mathematical Publications
2 The Journal of Analysis
2 Turkish Journal of Mathematics
2 Filomat
2 Journal of Combinatorial Optimization
2 Analysis in Theory and Applications
2 Afrika Matematika
2 Research in the Mathematical Sciences
2 Journal of Algebra, Combinatorics, Discrete Structures and Applications
1 Advances in Applied Probability
1 Computers & Mathematics with Applications
1 Indian Journal of Pure & Applied Mathematics
1 Israel Journal of Mathematics
1 Linear and Multilinear Algebra
1 Moscow University Mathematics Bulletin
1 Nonlinearity
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Annals of the Institute of Statistical Mathematics
1 Applied Mathematics and Computation
1 Archiv der Mathematik
1 BIT
1 Demonstratio Mathematica
1 Journal of Algebra
1 Journal of Combinatorial Theory. Series B
1 Monatshefte für Mathematik
1 Proceedings of the American Mathematical Society
1 Tôhoku Mathematical Journal. Second Series
1 Transactions of the American Mathematical Society
1 Ergodic Theory and Dynamical Systems
1 Bulletin of the Korean Mathematical Society
1 Order
1 Journal of Complexity
1 Discrete & Computational Geometry
1 SIAM Journal on Discrete Mathematics
1 Journal of the Ramanujan Mathematical Society
1 Numerical Algorithms
1 Bulletin of the American Mathematical Society. New Series
1 Bulletin of the Polish Academy of Sciences, Mathematics
1 Applicable Algebra in Engineering, Communication and Computing
1 Journal of Algebraic Combinatorics
1 Theory of Probability and Mathematical Statistics
1 Journal of Mathematical Sciences (New York)
1 St. Petersburg Mathematical Journal
1 Séminaire Lotharingien de Combinatoire
1 Taiwanese Journal of Mathematics
...and 26 more Serials

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