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
Peter PauleProfessor of Mathematics, RISC, Johannes Kepler UniversityVerified email at risc.jku.at
Florian LucaProfessor, Stellenbosch UniversityVerified email at sun.ac.za
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	57	1990
Graphs, partitions and Fibonacci numbers A Knopfmacher, RF Tichy, S Wagner, V Ziegler Discrete Applied Mathematics 155 (10), 1175-1187, 2007	50	2007
Combinatorial parameters in bargraphs A Blecher, C Brennan, A Knopfmacher Quaestiones Mathematicae 39 (5), 619-635, 2016	49	2016
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
Peaks in bargraphs A Blecher, C Brennan, A Knopfmacher Transactions of the Royal Society of South Africa 71 (1), 97-103, 2016	40	2016
Counting irreducible factors of polynomials over a finite field A Knopfmacher, J Knopfmacher Discrete Mathematics 112 (1-3), 103-118, 1993	40	1993
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
A survey of factorization counting functions A Knopfmacher, ME Mays International Journal of Number Theory 1 (04), 563-581, 2005	39	2005
Metric properties of alternating Lüroth series S Kalpazidou, A Knopfmacher, J Knopfmacher Portugaliae mathematica 48 (3), 319-325, 1991	38	1991
Ordered and unordered factorizations of integers A Knopfmacher, M Mays Mathematica Journal 10 (1), 72, 2006	37	2006
Inverse polynomial expansions of Laurent series A Knopfmacher, J Knopfmacher Constructive Approximation 4, 379-389, 1988	36	1988
Analysis of some new partition statistics PJ Grabner, A Knopfmacher The Ramanujan Journal 12 (3), 439-454, 2006	34	2006
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	32	1989
The exact length of the Euclidean algorithm in [X] A Knopfmacher, J Knopfmacher Mathematika 35 (2), 297-304, 1988	32	1988
Compositions with m distinct parts A Knopfmacher, ME Mays Ars Combinatoria 53, 111-128, 1999	29	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	29	1990
On the probability that certain compositions have the same number of parts M Bóna, A Knopfmacher Annals of Combinatorics 14, 291-306, 2010	28	2010
Compositions with distinct parts B Richmond, A Knopfmacher Aequationes mathematicae 49, 86-97, 1995	28	1995

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