Peter Borwein
Impact in
- Algebra and Number Theory top 0.5%
- Analytic Number Theory Research
- Advanced Mathematical Identities
- Applied Mathematics top 0.2%
- Mathematical functions and polynomials
- Mathematical Inequalities and Applications
- Functional Equations Stability Results
Papers in
-
- Mathematical functions and polynomials 63
-
- Analytic Number Theory Research 43
- Advanced Mathematical Identities 25
- Co-authors
- Tamás Erdélyi (37 shared papers)Jonathan M. Borwein (39 shared papers)Bruce C. Berndt (1 shared paper)Richard Askey (1 shared paper)David H. Bailey (7 shared papers)Simon Plouffe (2 shared papers)Frank Garvan (3 shared papers)Michael J. Mossinghoff (8 shared papers)
- Journals
- Proceedings of the American Mathematical Society (22 papers)Mathematics of Computation (15 papers)Journal of Approximation Theory (13 papers)Constructive Approximation (11 papers)Transactions of the American Mathematical Society (9 papers)
- Partner nations
- CanadaUnited StatesHungary
In The Last Decade
Peter Borwein
171 papers receiving 3.3k citations
Peter Borwein's Hit Papers
Peers
Comparison fields: 5 of 112
- Algebra and Number Theory 1.1k
- Applied Mathematics 1.6k
- Discrete Mathematics and Combinatorics 484
- Theoretical Computer Science 156
- Geometry and Topology 887
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 180 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | Polynomials and Polynomial Inequalities Hit paper breakdown → | 1995 | 641 |
| 2 | 1988 | 290 | |
| 3 | 1988 | 283 | |
| 4 | Pi and the AGM: A Study in Analytic Number Theory and Computational Complexity | 2011 | 141 |
| 5 | 1997 | 136 | |
| 6 | 2007 | 92 | |
| 7 | 1994 | 88 | |
| 8 | 1991 | 87 | |
| 9 | 2002 | 74 | |
| 10 | 2005 | 58 | |
| 11 | 1994 | 53 | |
| 12 | 1989 | 51 | |
| 13 | 1984 | 49 | |
| 14 | 1999 | 47 | |
| 15 | 1991 | 38 | |
| 16 | 1992 | 36 | |
| 17 | 1996 | 36 | |
| 18 | 1990 | 36 | |
| 19 | 1997 | 35 | |
| 20 | 1993 | 33 |
About Peter Borwein
Peter Borwein is a scholar working on Applied Mathematics, Algebra and Number Theory, Geometry and Topology, Computational Theory and Mathematics and Numerical Analysis, having authored 180 papers that have together received 3.8k indexed citations. Recurring topics across this work include Mathematical functions and polynomials (63 papers), Analytic Number Theory Research (43 papers), Advanced Mathematical Identities (25 papers), Iterative Methods for Nonlinear Equations (20 papers), Mathematics and Applications (18 papers), Mathematical Dynamics and Fractals (17 papers), History and Theory of Mathematics (13 papers) and Advanced Combinatorial Mathematics (12 papers). The work is most often cited by research in Algebra and Number Theory (1.1k citations), Applied Mathematics (1.6k citations), Discrete Mathematics and Combinatorics (484 citations), Theoretical Computer Science (156 citations) and Geometry and Topology (887 citations). Peter Borwein has collaborated with scholars based in Canada, United States and Hungary. Frequent co-authors include Tamás Erdélyi, Jonathan M. Borwein, Bruce C. Berndt, Richard Askey, David H. Bailey, Simon Plouffe, Frank Garvan, Michael J. Mossinghoff, Roger Ferguson and John H. Zhang. 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.