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Knopfmacher, Arnold

Co-Author Distance
Author ID:knopfmacher.arnold Recent zbMATH articles by "Knopfmacher, Arnold"
Published as:Knopfmacher, Arnold;Knopfmacher, A.
Homepage:https://www.wits.ac.za/people/academic-a-z-listing/k/arnoldknopfmacherwitsacza/
External Links:MGP ·ORCID ·Wikidata ·Google Scholar ·ResearchGate ·dblp
Documents Indexed:194 Publications since 1986, including2 Additional arXiv Preprints
Software Indexed:1 Package
Reviewing Activity:36 Reviews
Co-Authors:43 Co-Authors with 182 Joint Publications
2,042 Co-Co-Authors
alltop 5

Co-Authors

10single-authored
57 Blecher, Aubrey
38 Brennan, Charlotte Alix
35 Knopfmacher, John
30 Archibald, Margaret
27 Mansour, Toufik
15 Prodinger, Helmut
14 Mays, Michael E.
12 Wagner, Stephan Georg
9 Munagi, Augustine O.
9 Robbins, Neville
8 Warlimont, Richard
7 Lubinsky, Doron S.
6 Andrews, George Eyre
6 Grabner, Peter J.
5 Luca, Florian
3 Paule, Peter
3 Ridley, James N.
3 Shattuck, Mark A.
2 Kalpazidou, Sofia
2 Lucht, Lutz Gerhard
2 Zimmermann, Burkhard
1 Asakly, Walaa
1 Bóna, Miklós
1 Buchanan, Hollie L. II
1 Heubach, Silvia
1 Hitczenko, Paweł
1 Indlekofer, Karl-Heinz
1 Ma, Shi-Mei
1 Mansou, Toufik
1 Manstavičius, Eugenijus
1 Mullen, Gary L.
1 Nevai, Paul G.
1 Odlyzko, Andrew M.
1 Pittel, Boris G.
1 Richmond, L. Bruce
1 Shparlinski, Igor E.
1 Stark, Dudley
1 Szekeres, George
1 Tichy, Robert Franz
1 von zur Gathen, Joachim
1 Ward, Mark Daniel
1 Wormald, Nicholas Charles
1 Ziegler, Volker
alltop 5

Serials

8 Ars Combinatoria
7 Quaestiones Mathematicae
6 Discrete Mathematics
6 The Fibonacci Quarterly
6 Aequationes Mathematicae
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 The Electronic Journal of Combinatorics
4 Online Journal of Analytic Combinatorics
4 DML. Discrete Mathematics Letters
3 Acta Arithmetica
3 Mathematica Slovaca
3 Advances in Applied Mathematics
3 Discrete Mathematics and Applications
3 The Australasian Journal of Combinatorics
3 Combinatorics, Probability and Computing
3 Journal of Integer Sequences
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 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 International Journal of Number Theory
2 Mathematics in Computer Science
2 Transactions on Combinatorics
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
1 Journal of Algebra, Combinatorics, Discrete Structures and Applications
1 The Art of Discrete and Applied Mathematics

Publications by Year

Citations contained in zbMATH Open

144 Publications have been cited 778 times in448 DocumentsCited by ▼Year ▼
Combinatorial parameters in bargraphs. Zbl 1423.05011
Blecher, Aubrey;Brennan, Charlotte;Knopfmacher, Arnold
2016
Levels in bargraphs. Zbl 1329.05013
Blecher, Aubrey;Brennan, Charlotte;Knopfmacher, Arnold
2015
Analysis of some new partition statistics. Zbl 1113.05012
Grabner, Peter J.;Knopfmacher, Arnold
2006
Lüroth-type alternating series representations for real numbers. Zbl 0702.11048
Kalpazidou, Sofia;Knopfmacher, Arnold;Knopfmacher, John
1990
Graphs, partitions and Fibonacci numbers. Zbl 1121.05031
Knopfmacher, Arnold;Tichy, Robert F.;Wagner, Stephan;Ziegler, Volker
2007
Mean convergence of Lagrange interpolation for Freud’s weights with application to product integration rules. Zbl 0634.41003
Knopfmacher, Arnold;Lubinsky, D. S.
1987
A general asymptotic scheme for the analysis of partition statistics. Zbl 1304.11123
Grabner, Peter J.;Knopfmacher, Arnold;Wagner, Stephan
2014
Inverse polynomial expansions of Laurent series. Zbl 0659.41024
Knopfmacher, Arnold;Knopfmacher, John
1988
On Carlitz compositions. Zbl 0902.05004
Knopfmacher, Arnold;Prodinger, Helmut
1998
A survey of factorization counting functions. Zbl 1084.11003
Knopfmacher, A.;Mays, M. E.
2005
Metric properties of alternating Lüroth series. Zbl 0735.11035
Kalpazidou, Sofia;Knopfmacher, Arnold;Knopfmacher, John
1991
Counting polynomials with a given number of zeros in a finite field. Zbl 0699.12028
Knopfmacher, Arnold;Knopfmacher, John
1990
Counting irreducible factors of polynomials over a finite field. Zbl 0785.11055
Knopfmacher, Arnold;Knopfmacher, John
1993
An infinite family of Engel expansions of Rogers-Ramanujan type. Zbl 0972.11068
Andrews, George E.;Knopfmacher, Arnold;Paule, Peter
2000
Successions in words and compositions. Zbl 1256.05006
Knopfmacher, Arnold;Munagi, Augustine;Wagner, Stephan
2012
The perimeter of words. Zbl 1367.05031
Blecher, Aubrey;Brennan, Charlotte;Knopfmacher, Arnold;Mansour, Toufik
2017
Walls in bargraphs. Zbl 1372.05008
Blecher, Aubrey;Brennan, Charlotte;Knopfmacher, Arnold
2017
Inverse polynomial expansions of Laurent series. II. Zbl 0684.30030
Knopfmacher, Arnold;Knopfmacher, John
1989
Successions in integer partitions. Zbl 1225.11129
Knopfmacher, Arnold;Munagi, Augustine O.
2009
Gap-free compositions and gap-free samples of geometric random variables. Zbl 1062.05013
Hitczenko, Paweł;Knopfmacher, Arnold
2005
Records in set partitions. Zbl 1193.05024
Knopfmacher, Arnold;Mansour, Toufik;Wagner, Stephan
2010
Combinatorics of geometrically distributed random variables: Value and position of the \(r\)th left-to-right maximum. Zbl 0969.60014
Knopfmacher, Arnold;Prodinger, Helmut
2001
Shedding light on words. Zbl 1499.05027
Archibald, Margaret;Blecher, Aubrey;Brennan, Charlotte;Knopfmacher, Arnold;Mansour, Toufik
2017
Staircase words and Chebyshev polynomials. Zbl 1299.05003
Knopfmacher, Arnold;Mansour, Toufik;Munagi, Augustine;Prodinger, Helmut
2010
Two concrete new constructions of the real numbers. Zbl 0677.10006
Knopfmacher, Arnold;Knopfmacher, John
1988
Two constructions of the real numbers via alternating series. Zbl 0683.10008
Knopfmacher, Arnold;Knopfmacher, John
1989
Distinct degree factorizations for polynomials over a finite field. Zbl 0834.11054
Knopfmacher, Arnold;Warlimont, Richard
1995
Average order in cyclic groups. Zbl 1079.11003
von zur Gathen, Joachim;Knopfmacher, Arnold;Luca, Florian;Lucht, Lutz G.;Shparlinski, Igor E.
2004
Some properties of cyclic compositions. Zbl 1217.11091
Knopfmacher, Arnold;Robbins, Neville
2010
On the probability that certain compositions have the same number of parts. Zbl 1233.05005
Bóna, Miklós;Knopfmacher, Arnold
2010
The number of distinct values in a geometrically distributed sample. Zbl 1102.60004
Archibald, Margaret;Knopfmacher, Arnold;Prodinger, Helmut
2006
The height and width of bargraphs. Zbl 1303.05045
Blecher, Aubrey;Brennan, Charlotte;Knopfmacher, Arnold;Prodinger, Helmut
2015
Analytic properties of power product expansions. Zbl 0842.41006
Gingold, H.;Knopfmacher, A.
1995
Positive convergent approximation operators associated with orthogonal polynomials for weights on the whole real line. Zbl 0604.41025
Knopfmacher, Arnold
1986
The exact length of the Euclidean algorithm in \({\mathbb{F}}_ q[X]\). Zbl 0676.12004
Knopfmacher, Arnold;Knopfmacher, John
1988
Freud’s conjecture and approximation of reciprocals of weights by polynomials. Zbl 0646.41002
Knopfmacher, Arnold;Lubinsky, D. S.;Nevai, P.
1988
Smooth compositions and smooth words. Zbl 1265.05016
Knopfmacher, Arnold;Mansour, Toufik;Munagi, Augustine
2011
Counting corners in partitions. Zbl 1332.05014
Blecher, Aubrey;Brennan, Charlotte;Knopfmacher, Arnold;Mansour, Toufik
2016
Inversions in compositions of integers. Zbl 1274.05018
Heubach, Silvia;Knopfmacher, Arnold;Mays, Michael E.;Munagi, Augustine O.
2011
Engel expansions and the Rogers-Ramanujan identities. Zbl 0954.11028
Andrews, George E.;Knopfmacher, Arnold;Knopfmacher, John
2000
“Factorisatio numerorum” in arithmetical semigroups. Zbl 0772.11038
Knopfmacher, Arnold;Knopfmacher, John;Warlimont, Richard
1992
The distribution of ascents of size \(d\) or more in partitions of \(n\). Zbl 1246.11166
Brennan, Charlotte;Knopfmacher, Arnold;Wagner, Stephan
2008
The distribution of ascents of size \(d\) or more in compositions. Zbl 1193.68179
Brennan, Charlotte Alix;Knopfmacher, Arnold
2009
Alternating Balkema-Oppenheim expansions of real numbers. Zbl 0762.11002
Indlekofer, Karl-Heinz;Knopfmacher, Arnold;Knopfmacher, John
1992
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.
1999
Arithmetical semigroups related to trees and polyhedra. Zbl 0918.05006
Knopfmacher, A.;Knopfmacher, J.
1999
Compositions with distinct parts. Zbl 0824.11065
Richmond, B.;Knopfmacher, A.
1995
\(q\)-Engel series expansions and Slater’s identities. Zbl 1024.11054
Andrews, George E.;Knopfmacher, Arnold;Paule, Peter;Prodinger, Helmut
2001
Combinatorics of geometrically distributed random variables: Run statistics. Zbl 1018.05004
Grabner, Peter J.;Knopfmacher, Arnold;Prodinger, Helmut
2003
On the cyclotomic identity and related product expansions. Zbl 0808.05006
Buchanan, Hollie L.;Knopfmacher, Arnold;Mays, Michael E.
1993
Fixed points in compositions and words. Zbl 1451.05005
Archibald, M.;Blecher, A.;Knopfmacher, A.
2020
Water capacity of Dyck paths. Zbl 1427.05005
Blecher, Aubrey;Brennan, Charlotte;Knopfmacher, Arnold
2020
The inner site-perimeter of compositions. Zbl 1432.05008
Blecher, Aubrey;Brennan, Charlotte;Knopfmacher, Arnold
2020
Capacity of words. Zbl 1415.05001
Blecher, Aubrey;Brennan, Charlotte;Knopfmacher, Arnold
2018
The water capacity of integer compositions. Zbl 1406.05005
Blecher, Aubrey;Brennan, Charlotte;Knopfmacher, Arnold
2018
A new infinite product representation for real numbers. Zbl 0624.10008
Knopfmacher, Arnold;Knopfmacher, John
1987
Analogues of Freud’s conjecture for Erdős type weights and related polynomial approximation problems. Zbl 0638.41009
Knopfmacher, Arnold;Lubinsky, D. S.
1987
Identities for the total number of parts in partitions of integers. Zbl 1067.05008
Knopfmacher, Arnold;Robbins, Neville
2005
Series expansions in \(p\)-adic and other non-archimedean fields. Zbl 0683.10030
Knopfmacher, A.;Knopfmacher, J.
1989
The distribution of values of polynomials over a finite field. Zbl 0705.11077
Knopfmacher, Arnold;Knopfmacher, John
1990
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
1987
The largest missing value in a composition of an integer. Zbl 1226.05037
Archibald, Margaret;Knopfmacher, Arnold
2011
Record statistics in a random composition. Zbl 1239.05011
Knopfmacher, Arnold;Mansour, Toufik
2012
A simple card guessing game revisited. Zbl 0991.05004
Knopfmacher, Arnold;Prodinger, Helmut
2001
Graph compositions. I: Basic enumeration. Zbl 0979.05062
Knopfmacher, A.;Mays, M. E.
2001
Compositions with parts constrained by the leading summand. Zbl 1142.05306
Knopfmacher, Arnold;Robbins, Neville
2005
Reciprocal sums over partitions and compositions. Zbl 0783.05004
Knopfmacher, A.;Ridley, J. N.
1993
The inner site-perimeter of bargraphs. Zbl 1469.05029
Blecher, Aubrey;Brennan, Charlotte;Knopfmacher, Arnold
2021
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
2014
Descents after maxima in compositions. Zbl 1288.05019
Blecher, Aubrey;Brennan, Charlotte;Knopfmacher, Arnold
2014
The site-perimeter of permutations. Zbl 1368.05003
Blecher, Aubrey;Brennan, Charlotte;Knopfmacher, Arnold
2016
Run statistics for geometrically distributed random variables. (Extended abstract). Zbl 0964.60009
Grabner, Peter J.;Knopfmacher, Arnold;Prodinger, Helmut
2000
A new construction of the real numbers (via infinite products). Zbl 0624.10007
Knopfmacher, Arnold;Knopfmacher, John
1987
Metric properties of Engel series expansions of Laurent series. Zbl 0939.11029
Grabner, Peter J.;Knopfmacher, Arnold
1998
The sum of distinct parts in compositions and partitions. Zbl 0913.05001
Knopfmacher, Arnold;Mays, M. E.
1999
The length of the continued fraction expansion for a class of rational functions in \({\mathbb{F}}_ q(X)\). Zbl 0716.11061
Knopfmacher, Arnold
1991
An algorithmic approach to discovering and proving \(q\)-series identities. Zbl 0987.33009
Andrews, G. E.;Knopfmacher, A.
2001
The radius of convergence of power product expansions. Zbl 0722.41020
Knopfmacher, Arnold;Lucht, Lutz
1991
The first ascent of size \(d\) or more in compositions. Zbl 1190.11055
Brennan, Charlotte;Knopfmacher, Arnold
2006
The zero distribution of the partial products of power product expansions. Zbl 0802.30006
Gingold, H.;Knopfmacher, A.;Lubinsky, D. S.
1993
Compositions with \(m\) distinct parts. Zbl 0994.05016
Knopfmacher, Arnold;Mays, M. E.
1999
Metric properties of algorithms inducing Lüroth series expansions of Laurent series. Zbl 0788.11031
Knopfmacher, John;Knopfmacher, Arnold
1992
The site-perimeter of words. Zbl 1463.05011
Blecher, Aubrey;Brennan, Charlotte;Knopfmacher, Arnold;Mansour, Toufik
2017
The site-perimeter of compositions. Zbl 1498.05013
Blecher, Aubrey;Brennan, Charlotte;Knopfmacher, Arnold
2022
Geometric random variables: descents following maxima. Zbl 1357.05005
Archibald, Margaret;Blecher, Aubrey;Brennan, Charlotte;Knopfmacher, Arnold;Prodinger, Helmut
2017
The height of two types of generalised Motzkin paths. Zbl 1408.05006
Brennan, Charlotte;Knopfmacher, Arnold
2013
Infinite product factorizations of analytic functions. Zbl 0747.30003
Knopfmacher, Arnold
1991
Counting permutations and polynomials with a restricted factorization pattern. Zbl 0845.05004
Knopfmacher, Arnold;Warlimont, Richard
1996
Infinite products for power series. Zbl 0704.41013
Knopfmacher, Arnold;Knopfmacher, John
1989
Explicit and asymptotic formulae for the expected values of the order statistics of the Cantor distribution. Zbl 0849.62027
Knopfmacher, Arnold;Prodinger, Helmut
1996
Arithmetic and metric properties of \(p\)-adic Engel series expansions. Zbl 1050.11070
Grabner, P. J.;Knopfmacher, A.
2003
Lengths of factorizations for polynomials over a finite field. Zbl 0812.11067
Knopfmacher, A.;Knopfmacher, J.;Warlimont, R.
1994
Greatest descents after any maxima in compositions. Zbl 1329.05012
Archibald, Margaret;Blecher, Aubrey;Brennan, Charlotte;Knopfmacher, Arnold
2015
Variation statistics on compositions. Zbl 1244.62016
Archibald, Margaret;Knopfmacher, Arnold;Mansour, Toufik
2012
The average position of the \(d\)th maximum in a sample of geometric random variables. Zbl 1159.60300
Archibald, Margaret;Knopfmacher, Arnold
2009
The average position of the first maximum in a sample of geometric random variables. Zbl 1192.68939
Archibald, Margaret;Knopfmacher, Arnold
2007
Some arithmetic properties of Eulerian numbers. Zbl 0986.11001
Knopfmacher, Arnold;Robbins, Neville
2001
Digit sums of binomial sums. Zbl 1261.11005
Knopfmacher, Arnold;Luca, Florian
2012
On binary and Fibonacci compositions. Zbl 1108.11014
Knopfmacher, A.;Robbins, N.
2003
Dirichlet generating functions and factorization identities. Zbl 1097.05004
Knopfmacher, A.;Mays, M. E.
2005
Letters of a given size in Catalan words. Zbl 07939141
Blecher, Aubrey;Knopfmacher, Arnold
2024
Parameters in inversion sequences. Zbl 1516.05002
Archibald, Margaret;Blecher, Aubrey;Knopfmacher, Arnold
2023
The site-perimeter of compositions. Zbl 1498.05013
Blecher, Aubrey;Brennan, Charlotte;Knopfmacher, Arnold
2022
Fixed points and matching points in partitions. Zbl 1486.05021
Blecher, Aubrey;Knopfmacher, Arnold
2022
Alphabetic points in restricted growth functions. Zbl 1481.05013
Blecher, Aubrey;Knopfmacher, Arnold;Mansour, Toufik
2022
The inner site-perimeter of bargraphs. Zbl 1469.05029
Blecher, Aubrey;Brennan, Charlotte;Knopfmacher, Arnold
2021
Alphabetic points in compositions and words. Zbl 1533.05002
Archibald, Margaret;Blecher, Aubrey;Knopfmacher, Arnold
2021
Fixed points in compositions and words. Zbl 1451.05005
Archibald, M.;Blecher, A.;Knopfmacher, A.
2020
Water capacity of Dyck paths. Zbl 1427.05005
Blecher, Aubrey;Brennan, Charlotte;Knopfmacher, Arnold
2020
The inner site-perimeter of compositions. Zbl 1432.05008
Blecher, Aubrey;Brennan, Charlotte;Knopfmacher, Arnold
2020
Inversions and parity in compositions of integers. Zbl 1439.05021
Archibald, M.;Blecher, A.;Knopfmacher, A.;Mays, M. E.
2020
Two by two squares in set partitions. Zbl 1505.05018
Archibald, Margaret;Blecher, Aubrey;Brennan, Charlotte;Knopfmacher, Arnold;Mansour, Toufik
2020
The number of distinct adjacent pairs in geometrically distributed words. Zbl 1503.68239
Archibald, Margaret;Blecher, Aubrey;Brennan, Charlotte;Knopfmacher, Arnold;Wagner, Stephan;Ward, Mark
2020
Pushes in permutations. Zbl 1467.05002
Blecher, Aubrey;Brennan, Charlotte;Knopfmacher, Arnold;Mansour, Toufik;Shattuck, Mark
2020
Capacity of permutations. Zbl 1449.05002
Blecher, Aubrey;Brennan, Charlotte;Knopfmacher, Arnold;Shattuck, Mark
2019
Compositions with a fixed number of inversions. Zbl 1429.05004
Knopfmacher, A.;Mays, M. E.;Wagner, S.
2019
Capacity of words. Zbl 1415.05001
Blecher, Aubrey;Brennan, Charlotte;Knopfmacher, Arnold
2018
The water capacity of integer compositions. Zbl 1406.05005
Blecher, Aubrey;Brennan, Charlotte;Knopfmacher, Arnold
2018
Durfee squares in compositions. Zbl 1409.05023
Archibald, Margaret;Blecher, Aubrey;Brennan, Charlotte;Knopfmacher, Arnold;Mansour, Toufik
2018
The perimeter of words. Zbl 1367.05031
Blecher, Aubrey;Brennan, Charlotte;Knopfmacher, Arnold;Mansour, Toufik
2017
Walls in bargraphs. Zbl 1372.05008
Blecher, Aubrey;Brennan, Charlotte;Knopfmacher, Arnold
2017
Shedding light on words. Zbl 1499.05027
Archibald, Margaret;Blecher, Aubrey;Brennan, Charlotte;Knopfmacher, Arnold;Mansour, Toufik
2017
The site-perimeter of words. Zbl 1463.05011
Blecher, Aubrey;Brennan, Charlotte;Knopfmacher, Arnold;Mansour, Toufik
2017
Geometric random variables: descents following maxima. Zbl 1357.05005
Archibald, Margaret;Blecher, Aubrey;Brennan, Charlotte;Knopfmacher, Arnold;Prodinger, Helmut
2017
Combinatorial parameters in bargraphs. Zbl 1423.05011
Blecher, Aubrey;Brennan, Charlotte;Knopfmacher, Arnold
2016
Counting corners in partitions. Zbl 1332.05014
Blecher, Aubrey;Brennan, Charlotte;Knopfmacher, Arnold;Mansour, Toufik
2016
The site-perimeter of permutations. Zbl 1368.05003
Blecher, Aubrey;Brennan, Charlotte;Knopfmacher, Arnold
2016
Partitions according to multiplicities and part sizes. Zbl 1375.05016
Archibald, Margaret;Blecher, Aubrey;Brennan, Charlotte;Knopfmacher, Arnold;Mansour, Toufik
2016
Levels in bargraphs. Zbl 1329.05013
Blecher, Aubrey;Brennan, Charlotte;Knopfmacher, Arnold
2015
The height and width of bargraphs. Zbl 1303.05045
Blecher, Aubrey;Brennan, Charlotte;Knopfmacher, Arnold;Prodinger, Helmut
2015
Greatest descents after any maxima in compositions. Zbl 1329.05012
Archibald, Margaret;Blecher, Aubrey;Brennan, Charlotte;Knopfmacher, Arnold
2015
Descents following maximal values in samples of geometric random variables. Zbl 1310.05017
Archibald, Margaret;Blecher, Aubrey;Brennan, Charlotte;Knopfmacher, Arnold
2015
A general asymptotic scheme for the analysis of partition statistics. Zbl 1304.11123
Grabner, Peter J.;Knopfmacher, Arnold;Wagner, Stephan
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
2014
Descents after maxima in compositions. Zbl 1288.05019
Blecher, Aubrey;Brennan, Charlotte;Knopfmacher, Arnold
2014
The largest missing value in a sample of geometric random variables. Zbl 1319.60008
Archibald, Margaret;Knopfmacher, Arnold
2014
The height of two types of generalised Motzkin paths. Zbl 1408.05006
Brennan, Charlotte;Knopfmacher, Arnold
2013
Some properties of dihedral compositions. Zbl 1293.05008
Knopfmacher, Arnold;Robbins, Neville
2013
Smallest parts in compositions. Zbl 1271.05010
Knopfmacher, Arnold;Munagi, Augustine O.
2013
Successions in words and compositions. Zbl 1256.05006
Knopfmacher, Arnold;Munagi, Augustine;Wagner, Stephan
2012
Record statistics in a random composition. Zbl 1239.05011
Knopfmacher, Arnold;Mansour, Toufik
2012
Variation statistics on compositions. Zbl 1244.62016
Archibald, Margaret;Knopfmacher, Arnold;Mansour, Toufik
2012
Digit sums of binomial sums. Zbl 1261.11005
Knopfmacher, Arnold;Luca, Florian
2012
Permutations with interval cycles. Zbl 1274.05008
Knopfmacher, Arnold;Munagi, Augustine O.
2012
Up-smooth samples of geometric variables. Zbl 1318.60018
Knopfmacher, Arnold;Mansour, Toufik
2012
Smooth compositions and smooth words. Zbl 1265.05016
Knopfmacher, Arnold;Mansour, Toufik;Munagi, Augustine
2011
Inversions in compositions of integers. Zbl 1274.05018
Heubach, Silvia;Knopfmacher, Arnold;Mays, Michael E.;Munagi, Augustine O.
2011
The largest missing value in a composition of an integer. Zbl 1226.05037
Archibald, Margaret;Knopfmacher, Arnold
2011
Separation of the maxima in samples of geometric random variables. Zbl 1299.60007
Brennan, Charlotte;Wagner, Stephan;Knopfmacher, Arnold;Mansour, Toufik
2011
On cyclic compositions of positive integers. Zbl 1237.11008
Knopfmacher, Arnold;Luca, Florian;Robbins, Neville
2011
Records in set partitions. Zbl 1193.05024
Knopfmacher, Arnold;Mansour, Toufik;Wagner, Stephan
2010
Staircase words and Chebyshev polynomials. Zbl 1299.05003
Knopfmacher, Arnold;Mansour, Toufik;Munagi, Augustine;Prodinger, Helmut
2010
Some properties of cyclic compositions. Zbl 1217.11091
Knopfmacher, Arnold;Robbins, Neville
2010
On the probability that certain compositions have the same number of parts. Zbl 1233.05005
Bóna, Miklós;Knopfmacher, Arnold
2010
Compositions and samples of geometric random variables with constrained multiplicities. Zbl 1374.05224
Archibald, Margaret;Knopfmacher, Arnold;Mansour, Toufik
2010
Successions in integer partitions. Zbl 1225.11129
Knopfmacher, Arnold;Munagi, Augustine O.
2009
The distribution of ascents of size \(d\) or more in compositions. Zbl 1193.68179
Brennan, Charlotte Alix;Knopfmacher, Arnold
2009
The average position of the \(d\)th maximum in a sample of geometric random variables. Zbl 1159.60300
Archibald, Margaret;Knopfmacher, Arnold
2009
Record statistics in integer compositions. Zbl 1391.05041
Knopfmacher, Arnold;Mansour, Toufik
2009
The distribution of ascents of size \(d\) or more in partitions of \(n\). Zbl 1246.11166
Brennan, Charlotte;Knopfmacher, Arnold;Wagner, Stephan
2008
Graphs, partitions and Fibonacci numbers. Zbl 1121.05031
Knopfmacher, Arnold;Tichy, Robert F.;Wagner, Stephan;Ziegler, Volker
2007
The average position of the first maximum in a sample of geometric random variables. Zbl 1192.68939
Archibald, Margaret;Knopfmacher, Arnold
2007
The last descent in samples of geometric random variables and permutations. Zbl 1174.05005
Knopfmacher, Arnold;Prodinger, Helmut
2007
Analysis of some new partition statistics. Zbl 1113.05012
Grabner, Peter J.;Knopfmacher, Arnold
2006
The number of distinct values in a geometrically distributed sample. Zbl 1102.60004
Archibald, Margaret;Knopfmacher, Arnold;Prodinger, Helmut
2006
The first ascent of size \(d\) or more in compositions. Zbl 1190.11055
Brennan, Charlotte;Knopfmacher, Arnold
2006
The first descent in samples of geometric random variables and permutations. Zbl 1153.05004
Knopfmacher, Arnold;Prodinger, Helmut
2006
Gaps in integer partitions. Zbl 1116.11087
Knopfmacher, Arnold;Warlimont, Richard
2006
On the number of distinct multinomial coefficients. Zbl 1099.11005
Andrews, George E.;Knopfmacher, Arnold;Zimmermann, Burkhard
2006
A survey of factorization counting functions. Zbl 1084.11003
Knopfmacher, A.;Mays, M. E.
2005
Gap-free compositions and gap-free samples of geometric random variables. Zbl 1062.05013
Hitczenko, Paweł;Knopfmacher, Arnold
2005
Identities for the total number of parts in partitions of integers. Zbl 1067.05008
Knopfmacher, Arnold;Robbins, Neville
2005
Compositions with parts constrained by the leading summand. Zbl 1142.05306
Knopfmacher, Arnold;Robbins, Neville
2005
Dirichlet generating functions and factorization identities. Zbl 1097.05004
Knopfmacher, A.;Mays, M. E.
2005
The distribution of ascents of size \(d\) or more in samples of geometric random variables. Zbl 1099.68683
Brennan, Charlotte;Knopfmacher, Arnold
2005
The first and last ascents of size \(d\) or more in samples of geometric random variables. Zbl 1086.05009
Brennan, Charlotte;Knopfmacher, Arnold
2005
Average order in cyclic groups. Zbl 1079.11003
von zur Gathen, Joachim;Knopfmacher, Arnold;Luca, Florian;Lucht, Lutz G.;Shparlinski, Igor E.
2004
The number of descents in samples of geometric random variables. Zbl 1057.60011
Knopfmacher, Arnold;Prodinger, Helmut
2004
Combinatorics of geometrically distributed random variables: Run statistics. Zbl 1018.05004
Grabner, Peter J.;Knopfmacher, Arnold;Prodinger, Helmut
2003
Arithmetic and metric properties of \(p\)-adic Engel series expansions. Zbl 1050.11070
Grabner, P. J.;Knopfmacher, A.
2003
On binary and Fibonacci compositions. Zbl 1108.11014
Knopfmacher, A.;Robbins, N.
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
2001
\(q\)-Engel series expansions and Slater’s identities. Zbl 1024.11054
Andrews, George E.;Knopfmacher, Arnold;Paule, Peter;Prodinger, Helmut
2001
A simple card guessing game revisited. Zbl 0991.05004
Knopfmacher, Arnold;Prodinger, Helmut
2001
Graph compositions. I: Basic enumeration. Zbl 0979.05062
Knopfmacher, A.;Mays, M. E.
2001
An algorithmic approach to discovering and proving \(q\)-series identities. Zbl 0987.33009
Andrews, G. E.;Knopfmacher, A.
2001
Some arithmetic properties of Eulerian numbers. Zbl 0986.11001
Knopfmacher, Arnold;Robbins, Neville
2001
Engel expansions of \(q\)-series by computer algebra. Zbl 1055.33018
Andrews, George E.;Knopfmacher, Arnold;Paule, Peter;Zimmermann, Burkhard
2001
An infinite family of Engel expansions of Rogers-Ramanujan type. Zbl 0972.11068
Andrews, George E.;Knopfmacher, Arnold;Paule, Peter
2000
Engel expansions and the Rogers-Ramanujan identities. Zbl 0954.11028
Andrews, George E.;Knopfmacher, Arnold;Knopfmacher, John
2000
Run statistics for geometrically distributed random variables. (Extended abstract). Zbl 0964.60009
Grabner, Peter J.;Knopfmacher, Arnold;Prodinger, Helmut
2000
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.
1999
Arithmetical semigroups related to trees and polyhedra. Zbl 0918.05006
Knopfmacher, A.;Knopfmacher, J.
1999
The sum of distinct parts in compositions and partitions. Zbl 0913.05001
Knopfmacher, Arnold;Mays, M. E.
1999
Compositions with \(m\) distinct parts. Zbl 0994.05016
Knopfmacher, Arnold;Mays, M. E.
1999
On Carlitz compositions. Zbl 0902.05004
Knopfmacher, Arnold;Prodinger, Helmut
1998
Metric properties of Engel series expansions of Laurent series. Zbl 0939.11029
Grabner, Peter J.;Knopfmacher, Arnold
1998
Nets and sequences obtained from irreducible polynomials over finite fields. Zbl 0932.11075
Knopfmacher, A.;Ridley, J. N.;Mullen, G. L.
1998
On the largest degree of an irreducible factor of a polynomial in \(\mathbb{F}_q[X]\). Zbl 0958.11078
Knopfmacher, A.;Manstavičius, E.
1997
Counting permutations and polynomials with a restricted factorization pattern. Zbl 0845.05004
Knopfmacher, Arnold;Warlimont, Richard
1996
...and 44 more Documents
alltop 5

Cited by 449 Authors

68 Knopfmacher, Arnold
63 Mansour, Toufik
37 Blecher, Aubrey
19 Shattuck, Mark A.
18 Archibald, Margaret
16 Brennan, Charlotte Alix
13 Wagner, Stephan Georg
12 Lubinsky, Doron S.
12 Prodinger, Helmut
12 Ramírez, José Luis
10 Shabani, Armend Shaban
9 Knopfmacher, John
8 Hitczenko, Paweł
7 Luca, Florian
7 Merca, Mircea
7 Munagi, Augustine O.
6 Louchard, Guy
6 Mays, Michael E.
6 Mhaskar, Hrushikesh N.
6 Serbenyuk, Symon Oleksandrovych
5 Cakić, Nenad P.
5 Eyyunni, Pramod
5 Gingold, Harry
5 Hwang, Hsien-Kuei
5 Quaintance, Jocelyn
4 Andrews, George Eyre
4 Ballantine, Cristina M.
4 Bhoria, Subhash Chand
4 Gao, Zhicheng
4 Hopkins, Brian
4 Kalle, Charlene
4 Kanasri, Narakorn Rompurk
4 Kirgizov, Sergey
4 Kucukoglu, Irem
4 Mutafchiev, Lyuben R.
4 Panario, Daniel
4 Simsek, Yilmaz
4 Vallée, Brigitte
4 Villamizar, Diego
3 Asakly, Walaa
3 Baril, Jean-Luc
3 Berthé, Valérie
3 Bruyère, Véronique
3 Elizalde, Sergi
3 Flórez, Rigoberto
3 Fried, Sela
3 Goh, William M. Y.
3 Grabner, Peter J.
3 Kim, Dae San
3 Kim, Taekyun
3 Laohakosol, Vichian
3 Maji, Bibekananda
3 Matera, Guillermo
3 Mélot, Hadrien
3 Nakada, Hitoshi
3 Pérez, Mariana
3 Privitelli, Melina
3 Rana, Meenakshi
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 Banderier, Cyril
2 Bender, Edward Anton
2 Bibiloni, Lluís
2 Brugnoli, Emanuele
2 Burris, Stanley N.
2 Dahl, Geir
2 Deutsch, Emeric
2 Díaz-Mendoza, Carlos
2 Dosal-Trujillo, Loiret Alejandría
2 Elewoday, Mohamed
2 Galeana-Sánchez, Hortensia
2 Grübel, Rudolf
2 Hernane, Mohand-Ouamar
2 Jang, Gwan-Woo
2 Jou, Min-Jen
2 Kane, Daniel M.
2 Kauers, Manuel
2 Kaur, Prabh Simrat
2 Kuba, Markus F.
2 Kumar, Abhimanyu
2 Levin, Eli
2 Levit, Vadim E.
2 Lhote, Loïck
2 Li, Runqiao
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
...and 349 more Authors
alltop 5

Cited in 137 Serials

27 Discrete Mathematics
18 Journal of Approximation Theory
17 The Ramanujan Journal
15 Journal of Number Theory
15 Advances in Applied Mathematics
14 Discrete Applied Mathematics
12 Journal of Combinatorial Theory. Series A
12 Quaestiones Mathematicae
10 DML. Discrete Mathematics Letters
9 Integers
9 International Journal of Number Theory
8 The Electronic Journal of Combinatorics
7 Aequationes Mathematicae
7 Finite Fields and their Applications
7 Journal of Difference Equations and Applications
7 Journal of Integer Sequences
6 Journal of Computational and Applied Mathematics
6 European Journal of Combinatorics
6 Linear Algebra and its Applications
6 Journal of Automata, Languages and Combinatorics
6 Annals of Combinatorics
5 Journal of Mathematical Analysis and Applications
5 Statistics & Probability Letters
5 Journal of Symbolic Computation
5 The Australasian Journal of Combinatorics
5 Online Journal of Analytic Combinatorics
5 Mathematics in Computer Science
5 Applicable Analysis and Discrete Mathematics
5 Enumerative Combinatorics and Applications
4 Rocky Mountain Journal of Mathematics
4 International Journal of Mathematics and Mathematical Sciences
4 Journal de Théorie des Nombres de Bordeaux
4 Combinatorics, Probability and Computing
4 Journal of Discrete Mathematical Sciences & Cryptography
4 Transactions on Combinatorics
3 Lithuanian Mathematical Journal
3 Acta Arithmetica
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 The Journal of Analysis
3 Central European Journal of Mathematics
3 Mediterranean Journal of Mathematics
3 Discrete Mathematics, Algorithms and Applications
3 Journal of Algebra, Combinatorics, Discrete Structures and Applications
2 Bulletin of the Australian Mathematical Society
2 Nonlinearity
2 Mathematics of Computation
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 Journal of Algebraic Combinatorics
2 Tatra Mountains Mathematical Publications
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 The Art of Discrete and Applied Mathematics
1 Advances in Applied Probability
1 American Mathematical Monthly
1 Computers & Mathematics with Applications
1 Indian Journal of Pure & Applied Mathematics
1 Israel Journal of Mathematics
1 Linear and Multilinear Algebra
1 Mathematical Notes
1 Moscow University Mathematics Bulletin
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 The Fibonacci Quarterly
1 Journal of Algebra
1 Journal of Combinatorial Theory. Series B
1 Journal of Statistical Planning and Inference
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 Expositiones Mathematicae
...and 37 more Serials
alltop 5

Cited in 34 Fields

273 Combinatorics (05-XX)
217 Number theory (11-XX)
60 Probability theory and stochastic processes (60-XX)
39 Computer science (68-XX)
30 Approximations and expansions (41-XX)
23 Special functions (33-XX)
22 Harmonic analysis on Euclidean spaces (42-XX)
13 Measure and integration (28-XX)
12 Information and communication theory, circuits (94-XX)
11 Functions of a complex variable (30-XX)
9 Linear and multilinear algebra; matrix theory (15-XX)
9 Real functions (26-XX)
8 Dynamical systems and ergodic theory (37-XX)
7 Field theory and polynomials (12-XX)
7 Statistics (62-XX)
4 Group theory and generalizations (20-XX)
3 Mathematical logic and foundations (03-XX)
3 Algebraic geometry (14-XX)
3 Biology and other natural sciences (92-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Commutative algebra (13-XX)
2 Nonassociative rings and algebras (17-XX)
2 Difference and functional equations (39-XX)
2 Operations research, mathematical programming (90-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 General and overarching topics; collections (00-XX)
1 Associative rings and algebras (16-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Ordinary differential equations (34-XX)
1 Sequences, series, summability (40-XX)
1 Convex and discrete geometry (52-XX)
1 Manifolds and cell complexes (57-XX)
1 Numerical analysis (65-XX)
1 Quantum theory (81-XX)

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