Arnold Knopfmacher

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Charlotte BrennanAssociate Professor, University of the WitwatersrandVerified email at wits.ac.za
Toufik MansourUniversity of HaifaVerified email at univ.haifa.ac.il
Margaret ArchibaldUniversity of the WitwatersrandVerified email at uct.ac.za
Helmut ProdingerProfessor, Stellenbosch UniversityVerified email at sun.ac.za
Michael MaysProfessor of Mathematics, West Virginia UniversityVerified email at math.wvu.edu
Stephan WagnerUppsala UniversityVerified email at math.uu.se
Augustine O. MunagiProfessor of Mathematics, University of the WitwatersrandVerified email at wits.ac.za
George E AndrewsProfessor of Mathematics, Pennsylvania State UnivserityVerified email at math.psu.edu
D.S. LubinskyVerified email at math.gatech.edu
Florian LucaProfessor, Stellenbosch UniversityVerified email at sun.ac.za
Peter PauleProfessor of Mathematics, RISC, Johannes Kepler UniversityVerified email at risc.jku.at
Pawel HitczenkoProfessor of Mathematics, Drexel UniversityVerified email at math.drexel.edu
Robert TichyProfessor of Mathematics, Graz University of TechnologyVerified email at tugraz.at
Andrew OdlyzkoProfessor of Mathematics, University of MinnesotaVerified email at umn.edu
Silvia HeubachCalifornia State University Los AngelesVerified email at calstatela.edu

Arnold Knopfmacher

University of the Witwatersrand

Verified email at wits.ac.za

enumerative combinatorics


Title Sort by citations Sort by year Sort by title	Cited by Cited by	Year
On Carlitz compositions A Knopfmacher, H Prodinger European Journal of Combinatorics 19 (5), 579-589, 1998	65	1998
Lüroth-type alternating series representations for real numbers S Kalpazidou, A Knopfmacher, J Knopfmacher Acta Arithmetica 55 (4), 311-322, 1990	59	1990
Combinatorial parameters in bargraphs A Blecher, C Brennan, A Knopfmacher Quaestiones Mathematicae 39 (5), 619-635, 2016	50	2016
Graphs, partitions and Fibonacci numbers A Knopfmacher, RF Tichy, S Wagner, V Ziegler Discrete Applied Mathematics 155 (10), 1175-1187, 2007	49	2007
An infinite family of Engel expansions of Rogers–Ramanujan type GE Andrews, A Knopfmacher, P Paule Advances in Applied Mathematics 25 (1), 2-11, 2000	48	2000
Levels in bargraphs A Blecher, C Brennan, A Knopfmacher Ars Mathematica Contemporanea 9 (2), 2015	43	2015
Analysis of some new partition statistics PJ Grabner, A Knopfmacher The Ramanujan Journal 12 (3), 439-454, 2006	42	2006
Peaks in bargraphs A Blecher, C Brennan, A Knopfmacher Transactions of the Royal Society of South Africa 71 (1), 97-103, 2016	40	2016
Mean convergence of Lagrange interpolation for Freud's weights with application to product integration rules A Knopfmacher, DS Lubinsky Journal of computational and applied mathematics 17 (1-2), 79-103, 1987	40	1987
Metric properties of alternating Lüroth series S Kalpazidou, A Knopfmacher, J Knopfmacher Portugaliae mathematica 48 (3), 319-325, 1991	39	1991
Ordered and unordered factorizations of integers A Knopfmacher, M Mays Mathematica Journal 10 (1), 72, 2006	38	2006
A survey of factorization counting functions A Knopfmacher, ME Mays International Journal of Number Theory 1 (04), 563-581, 2005	38	2005
Counting irreducible factors of polynomials over a finite field A Knopfmacher, J Knopfmacher Discrete Mathematics 112 (1-3), 103-118, 1993	38	1993
Inverse polynomial expansions of Laurent series A Knopfmacher, J Knopfmacher Constructive Approximation 4, 379-389, 1988	36	1988
The exact length of the Euclidean algorithm in [X] A Knopfmacher, J Knopfmacher Mathematika 35 (2), 297-304, 1988	32	1988
On the probability that certain compositions have the same number of parts M Bóna, A Knopfmacher Annals of Combinatorics 14, 291-306, 2010	31	2010
Two constructions of the real numbers via alternating series A Knopfmacher, J Knopfmacher International Journal of Mathematics and Mathematical Sciences 12 (3), 603-613, 1989	31	1989
Compositions with m distinct parts A Knopfmacher, ME Mays Ars Combinatoria 53, 111-128, 1999	30	1999
Counting polynomials with a given number of zeros in a finite field A Knopfmacher, J Knopfmacher Linear and Multilinear Algebra 26 (4), 287-292, 1990	30	1990
Graph compositions I: Basic enumeration A Knopfmacher, ME Mays Integers 1 (4), 2001	28	2001

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