Peter Borwein
Impact in
- Algebra and Number Theory top 0.2%
- Advanced Mathematical Identities
- Analytic Number Theory Research
- Applied Mathematics top 0.2%
- Mathematical functions and polynomials
- Mathematical Inequalities and Applications
- Holomorphic and Operator Theory
Papers in
-
- Analytic Number Theory Research 60
- Advanced Mathematical Identities 37
-
- Mathematical functions and polynomials 110
- Holomorphic and Operator Theory 14
- Co-authors
- Jonathan Michael Borwein (58 shared papers)Tamás Erdélyi (38 shared papers)Lennart Berggren (15 shared papers)David H. Bailey (10 shared papers)Bruce C. Berndt (1 shared paper)Richard Askey (1 shared paper)Simon Plouffe (5 shared papers)Michael J. Mossinghoff (9 shared papers)
- Journals
- Proceedings of the American Mathematical Society (20 papers)Mathematics of Computation (16 papers)Journal of Approximation Theory (14 papers)Constructive Approximation (11 papers)Transactions of the American Mathematical Society (8 papers)
- Partner nations
- CanadaUnited StatesHungary
In The Last Decade
Peter Borwein
208 papers receiving 4.2k citations
Peter Borwein's Hit Papers
Peers
Comparison fields: 5 of 118
- Algebra and Number Theory 1.6k
- Applied Mathematics 1.8k
- Theoretical Computer Science 187
- Discrete Mathematics and Combinatorics 251
- Geometry and Topology 538
Countries citing papers authored by Peter Borwein
This map shows the geographic impact of Peter Borwein'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 Peter Borwein with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Peter Borwein more than expected).
Fields of papers citing papers by Peter Borwein
This network shows the impact of papers produced by Peter Borwein. 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 Peter Borwein. The network helps show where Peter Borwein may publish in the future.
Co-authors
The 25 scholars most cited alongside Peter Borwein, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.
All Works
Showing the 20 most-cited of 219 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | Polynomials and Polynomial Inequalities Hit paper breakdown → | 1995 | 721 |
| 2 | 1988 | 320 | |
| 3 | 1988 | 318 | |
| 4 | 2000 | 225 | |
| 5 | 1997 | 176 | |
| 6 | Pi and the AGM: A Study in Analytic Number Theory and Computational Complexity Hit paper breakdown → | 2011 | 167 |
| 7 | 2007 | 111 | |
| 8 | 1994 | 102 | |
| 9 | 1991 | 97 | |
| 10 | 2002 | 96 | |
| 11 | 1989 | 70 | |
| 12 | 2005 | 65 | |
| 13 | 1984 | 57 | |
| 14 | 1999 | 57 | |
| 15 | 1994 | 56 | |
| 16 | 1990 | 47 | |
| 17 | 2004 | 44 | |
| 18 | 1996 | 40 | |
| 19 | 1997 | 40 | |
| 20 | 1992 | 39 |
About Peter Borwein
Peter Borwein is a scholar working on Algebra and Number Theory, Applied Mathematics, Geometry and Topology, Discrete Mathematics and Combinatorics and Statistics and Probability, having authored 219 papers that have together received 4.8k indexed citations. Recurring topics across this work include Mathematical functions and polynomials (110 papers), Analytic Number Theory Research (60 papers), Advanced Mathematical Identities (37 papers), Approximation Theory and Sequence Spaces (26 papers), Advanced Combinatorial Mathematics (21 papers), History and Theory of Mathematics (17 papers), Analytic and geometric function theory (15 papers) and Holomorphic and Operator Theory (14 papers). The work is most often cited by research in Algebra and Number Theory (1.6k citations), Applied Mathematics (1.8k citations), Theoretical Computer Science (187 citations), Discrete Mathematics and Combinatorics (251 citations) and Geometry and Topology (538 citations). Peter Borwein has collaborated with scholars based in Canada, United States and Hungary. Frequent co-authors include Jonathan Michael Borwein, Tamás Erdélyi, Lennart Berggren, David H. Bailey, Bruce C. Berndt, Richard Askey, Simon Plouffe, Michael J. Mossinghoff, Frank G. Garvan and Christopher G. Pinner. Their work appears in journals such as Proceedings of the American Mathematical Society, Mathematics of Computation, Journal of Approximation Theory, Constructive Approximation 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.