Arnold Knopfmacher
- Discrete Mathematics and Combinatorics top 1%
- Algebra and Number Theory top 5%
- Mathematical Physics top 5%
- Computational Theory and Mathematics top 2%
- Artificial Intelligence top 10%
- Co-authors
- John KnopfmacherHelmut ProdingerPeter J. GrabnerD. S. LubinskyStephan WagnerGeorge E. AndrewsPaweł HitczenkoToufik Mansour
- Topics
- Advanced Combinatorial Mathematics (58 papers)Advanced Mathematical Identities (41 papers)Analytic Number Theory Research (21 papers)
- Journals
- SHILAP Revista de lepidopterologíaJournal of Mathematical Analysis and ApplicationsTransactions of the American Mathematical Society
- Partner nations
- South AfricaUnited StatesIsrael
In The Last Decade
Arnold Knopfmacher
107 papers receiving 616 citations
Peers
Comparison fields: 5 of 43
- Discrete Mathematics and Combinatorics 342
- Algebra and Number Theory 273
- Mathematical Physics 215
- Computational Theory and Mathematics 207
- Artificial Intelligence 192
Countries citing papers authored by Arnold Knopfmacher
This map shows the geographic impact of Arnold Knopfmacher's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Arnold Knopfmacher with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Arnold Knopfmacher more than expected).
Fields of papers citing papers by Arnold Knopfmacher
This network shows the impact of papers produced by Arnold Knopfmacher. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Arnold Knopfmacher. The network helps show where Arnold Knopfmacher may publish in the future.
Co-authorship network of co-authors of Arnold Knopfmacher
This figure shows the co-authorship network connecting the top 25 collaborators of Arnold Knopfmacher. A scholar is included among the top collaborators of Arnold Knopfmacher based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Arnold Knopfmacher. Arnold Knopfmacher is excluded from the visualization to improve readability, since they are connected to all nodes in the network.
All Works
| # | Work | Indexed citations |
|---|---|---|
| 1 | 0 | |
| 2 | 0 | |
| 3 | 2 | |
| 4 | 0 | |
| 5 | 2 | |
| 6 | 3 | |
| 7 | Permutations with interval cycles. | 1 |
| 8 | 1 | |
| 9 | 5 | |
| 10 | The Last Descent In Samples Of Geometric Random Variables And Permutations. | 3 |
| 11 | 3 | |
| 12 | Ordered and Unordered Factorizations of Integers | 10 |
| 13 | Run Statistics for Geometrically Distributed Random Variables (Extended Abstract) | 2 |
| 14 | Compositions With m Distinct Parts. | 10 |
| 15 | 7 | |
| 16 | 5 | |
| 17 | On the cyclotomic identity and related product expansions. | 6 |
| 18 | Metric properties of algorithms inducing Lüroth series expansions of Laurent series | 1 |
| 19 | 4 | |
| 20 | 1 |
About Arnold Knopfmacher
Arnold Knopfmacher is a scholar working on Discrete Mathematics and Combinatorics, Algebra and Number Theory and Mathematical Physics, having authored 126 papers that have together received 681 indexed citations. Recurring topics across this work include Advanced Combinatorial Mathematics (58 papers), Advanced Mathematical Identities (41 papers) and Analytic Number Theory Research (21 papers). The work is most often cited by research in Discrete Mathematics and Combinatorics (342 citations), Algebra and Number Theory (273 citations) and Mathematical Physics (215 citations). Arnold Knopfmacher has collaborated with scholars based in South Africa, United States and Israel. Frequent co-authors include John Knopfmacher, Helmut Prodinger, Peter J. Grabner, D. S. Lubinsky, Stephan Wagner, George E. Andrews, Paweł Hitczenko, Toufik Mansour, Peter Paule and Volker Ziegler. Their work appears in journals such as SHILAP Revista de lepidopterología, Journal of Mathematical Analysis and Applications and Transactions of the American Mathematical Society.
Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.