| On Carlitz compositions A Knopfmacher, H Prodinger European Journal of Combinatorics 19 (5), 579-589, 1998 | 67 | 1998 |
| 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 | 45 | 2000 |
| Lüroth-type alternating series representations for real numbers S Kalpazidou, A Knopfmacher, J Knopfmacher Acta Arithmetica 55 (4), 311-322, 1990 | 44 | 1990 |
| Graphs, partitions and Fibonacci numbers A Knopfmacher, RF Tichy, S Wagner, V Ziegler Discrete applied mathematics 155 (10), 1175-1187, 2007 | 41 | 2007 |
| A survey of factorization counting functions A Knopfmacher, ME Mays International Journal of Number Theory 1 (04), 563-581, 2005 | 37 | 2005 |
| 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 | 36 | 1987 |
| Inverse polynomial expansions of Laurent series A Knopfmacher, J Knopfmacher Constructive Approximation 4 (1), 379-389, 1988 | 34 | 1988 |
| Levels in bargraphs A Blecher, C Brennan, A Knopfmacher Ars Mathematica Contemporanea 9 (2), 287-300, 2015 | 33 | 2015 |
| Ordered and unordered factorizations of integers A Knopfmacher, M Mays Mathematica Journal 10 (1), 72, 2006 | 32 | 2006 |
| Combinatorial parameters in bargraphs A Blecher, C Brennan, A Knopfmacher Quaestiones Mathematicae 39 (5), 619-635, 2016 | 31 | 2016 |
| Compositions with m distinct parts A Knopfmacher, ME Mays Ars Combinatoria 53, 111-128, 1999 | 31 | 1999 |
| Counting irreducible factors of polynomials over a finite field A Knopfmacher, J Knopfmacher Discrete Mathematics 112 (1-3), 103-118, 1993 | 31 | 1993 |
| The exact length of the Euclidean algorithm in [X] A Knopfmacher, J Knopfmacher Mathematika 35 (2), 297-304, 1988 | 31 | 1988 |
| Metric properties of alternating Lüroth series S Kalpazidou, A Knopfmacher, J Knopfmacher Portugaliae mathematica 48 (3), 319-325, 1991 | 30 | 1991 |
| Peaks in bargraphs A Blecher, C Brennan, A Knopfmacher Transactions of the Royal Society of South Africa 71 (1), 97-103, 2016 | 29 | 2016 |
| Gap-free compositions and gap-free samples of geometric random variables P Hitczenko, A Knopfmacher Discrete Mathematics 294 (3), 225-239, 2005 | 29 | 2005 |
| Compositions with distinct parts B Richmond, A Knopfmacher Aequationes Mathematicae 49 (1), 86-97, 1995 | 28 | 1995 |
| " Factorisatio numerorum" in arithmetical semigroups A Knopfmacher, J Knopfmacher, R Warlimont Acta Arithmetica 61, 327-336, 1992 | 27 | 1992 |
| 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 | 27 | 1989 |
| Distinct degree factorizations for polynomials over a finite field A Knopfmacher, R Warlimont Transactions of the American Mathematical Society 347 (6), 2235-2243, 1995 | 24 | 1995 |
