John Knopfmacher
- Algebra and Number Theory top 5%
- Artificial Intelligence top 10%
- Mathematical Physics top 5%
- Computational Theory and Mathematics top 5%
- Discrete Mathematics and Combinatorics top 5%
- Co-authors
- Arnold KnopfmacherHelmut ProdingerGuy LouchardWenbin ZhangGeorge E. AndrewsWolfgang SchwarzAllan M. SinclairToufik Mansour
- Topics
- Analytic Number Theory Research (12 papers)Advanced Mathematical Identities (11 papers)advanced mathematical theories (9 papers)
- Cited by
- Algebra and Number TheoryDiscrete Mathematics and CombinatoricsTheoretical Computer Science
- Journals
- Journal of Mathematical Analysis and ApplicationsJournal of Computational and Applied MathematicsActa Mathematica
- Partner nations
- South AfricaAustraliaGermany
In The Last Decade
John Knopfmacher
57 papers receiving 380 citations
Peers
Comparison fields: 5 of 43
- Algebra and Number Theory 172
- Artificial Intelligence 144
- Mathematical Physics 137
- Computational Theory and Mathematics 130
- Discrete Mathematics and Combinatorics 87
Countries citing papers authored by John Knopfmacher
This map shows the geographic impact of John 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 John Knopfmacher with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites John Knopfmacher more than expected).
Fields of papers citing papers by John Knopfmacher
This network shows the impact of papers produced by John 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 John Knopfmacher. The network helps show where John Knopfmacher may publish in the future.
Co-authorship network of co-authors of John Knopfmacher
This figure shows the co-authorship network connecting the top 25 collaborators of John Knopfmacher. A scholar is included among the top collaborators of John 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 John Knopfmacher. John 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 | The Number of Inversions in Permutations: A Saddle Point Approach | 16 |
| 2 | 1 | |
| 3 | 1 | |
| 4 | 10 | |
| 5 | 6 | |
| 6 | Metric properties of algorithms inducing Lüroth series expansions of Laurent series | 1 |
| 7 | 1 | |
| 8 | 2 | |
| 9 | 4 | |
| 10 | 4 | |
| 11 | 16 | |
| 12 | 3 | |
| 13 | 5 | |
| 14 | 1 | |
| 15 | 1 | |
| 16 | 5 | |
| 17 | 2 | |
| 18 | 94 | |
| 19 | 1 | |
| 20 | 2 |
About John Knopfmacher
John Knopfmacher is a scholar working on Algebra and Number Theory, Mathematical Physics and Discrete Mathematics and Combinatorics, having authored 65 papers that have together received 452 indexed citations. Recurring topics across this work include Analytic Number Theory Research (12 papers), Advanced Mathematical Identities (11 papers) and advanced mathematical theories (9 papers). The work is most often cited by research in Algebra and Number Theory (172 citations), Discrete Mathematics and Combinatorics (87 citations) and Theoretical Computer Science (20 citations). John Knopfmacher has collaborated with scholars based in South Africa, Australia and Germany. Frequent co-authors include Arnold Knopfmacher, Helmut Prodinger, Guy Louchard, Wenbin Zhang, George E. Andrews, Wolfgang Schwarz, Allan M. Sinclair and Toufik Mansour. Their work appears in journals such as Journal of Mathematical Analysis and Applications, Journal of Computational and Applied Mathematics and Acta Mathematica.
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.