Peter Borwein

7.5k total citations · 1 hit paper
179 papers, 3.7k citations indexed

About

Peter Borwein is a scholar working on Applied Mathematics, Algebra and Number Theory and Computational Theory and Mathematics. According to data from OpenAlex, Peter Borwein has authored 179 papers receiving a total of 3.7k indexed citations (citations by other indexed papers that have themselves been cited), including 78 papers in Applied Mathematics, 55 papers in Algebra and Number Theory and 36 papers in Computational Theory and Mathematics. Recurrent topics in Peter Borwein's work include Mathematical functions and polynomials (63 papers), Analytic Number Theory Research (42 papers) and Advanced Mathematical Identities (25 papers). Peter Borwein is often cited by papers focused on Mathematical functions and polynomials (63 papers), Analytic Number Theory Research (42 papers) and Advanced Mathematical Identities (25 papers). Peter Borwein collaborates with scholars based in Canada, United States and Hong Kong. Peter Borwein's 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 and has published in prestigious journals such as Science, IEEE Transactions on Information Theory and Mathematics of Computation.

In The Last Decade

Peter Borwein

170 papers receiving 3.2k citations

Hit Papers

Polynomials and Polynomia... 1995 2026 2005 2015 1995 200 400 600
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Polynomials and Polynomial Inequalities
    1995 638 citations Peter Borwein, Tamás Erdélyi profile →

Author Peers

Peers are selected by citation overlap in the author's most active subfields. citations · hero ref

Author Last Decade Papers Cites
Peter Borwein 1.6k 1.1k 882 810 615 179 3.7k
W. J. Thron 1.6k 1.0× 894 0.8× 1.1k 1.2× 1.5k 1.8× 1.1k 1.8× 87 4.7k
Chi-Kwong Li 1.4k 0.9× 1.6k 1.5× 716 0.8× 2.4k 3.0× 767 1.2× 291 3.7k
P. Túrán 1.2k 0.8× 573 0.5× 427 0.5× 543 0.7× 470 0.8× 77 2.7k
Ralph S. Phillips 1.5k 0.9× 470 0.4× 932 1.1× 1.2k 1.5× 2.1k 3.5× 91 4.2k
Richard Askey 4.2k 2.7× 1.9k 1.8× 964 1.1× 1.1k 1.3× 1.1k 1.8× 154 6.9k
Doron Zeilberger 575 0.4× 1.3k 1.2× 935 1.1× 1.1k 1.3× 578 0.9× 198 3.3k
Shmuel Friedland 500 0.3× 332 0.3× 919 1.0× 1.7k 2.1× 641 1.0× 198 3.5k
Yitzhak Katznelson 1.1k 0.7× 336 0.3× 796 0.9× 650 0.8× 1.5k 2.5× 63 3.1k
V. S. Varadarajan 734 0.5× 807 0.8× 1.2k 1.3× 690 0.9× 1.8k 2.9× 81 3.5k
J. W. S. Cassels 571 0.4× 1.0k 1.0× 2.0k 2.3× 976 1.2× 1.4k 2.2× 96 3.8k

Countries citing papers authored by Peter Borwein

Since Specialization
Citations

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

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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-authorship network of co-authors of Peter Borwein

This figure shows the co-authorship network connecting the top 25 collaborators of Peter Borwein. A scholar is included among the top collaborators of Peter Borwein 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 Peter Borwein. Peter Borwein is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Borwein, Peter & Tamás Erdélyi. (2007). Questions about Polynomials with {0,-1,+1} Coefficients. 1 indexed citations
2.
Borwein, Peter & Tamás Erdélyi. (2006). Nikolskii-type inequalities for shift invariant function spaces. Proceedings of the American Mathematical Society. 134(11). 3243–3246. 9 indexed citations
3.
Borwein, Peter, Michael J. Mossinghoff, & Jeffrey D. Vaaler. (2006). Generalizations of Gonçalves’ inequality. Proceedings of the American Mathematical Society. 135(1). 253–261. 1 indexed citations
4.
Borwein, Peter, et al.. (2005). An old conjecture of Erdos–Turán on additive bases. Mathematics of Computation. 75(253). 475–484. 14 indexed citations
5.
Borwein, Peter, et al.. (2001). Merit Factors of Polynomials Formed by Jacobi Symbols. Canadian Journal of Mathematics. 53(1). 33–50. 8 indexed citations
6.
Borwein, Peter & Tamás Erdélyi. (2000). Trigonometric polynomials with many real zeros and a Littlewood-type problem. Proceedings of the American Mathematical Society. 129(3). 725–730. 3 indexed citations
7.
Borwein, Peter & Richard Lockhart. (2000). The expected 𝐿_{𝑝} norm of random polynomials. Proceedings of the American Mathematical Society. 129(5). 1463–1472. 19 indexed citations
8.
Borwein, Peter, et al.. (2000). An extremal property of Fekete polynomials. Proceedings of the American Mathematical Society. 129(1). 19–27. 9 indexed citations
9.
Borwein, Peter, et al.. (1998). Power series with restricted coefficients and a root on a given ray. Mathematics of Computation. 67(222). 715–736. 12 indexed citations
10.
Borwein, Peter & Tamás Erdélyi. (1997). Littlewood-type problems on subarcs of the unit circle. Indiana University Mathematics Journal. 46(4). 0–0. 16 indexed citations
11.
Bailey, David H., Simon Plouffe, Peter Borwein, & Jonathan M. Borwein. (1997). The quest for PI. The Mathematical Intelligencer. 19(1). 50–56. 35 indexed citations
12.
Borwein, Peter & Tamás Erdélyi. (1996). The integer Chebyshev problem. Mathematics of Computation. 65(214). 661–681. 27 indexed citations
13.
Borwein, Jonathan M., et al.. (1996). Experimental Mathematics: A Discussion. 2 indexed citations
14.
Borwein, Peter & Tamás Erdélyi. (1995). Upper Bounds for the Derivative of Exponential Sums. Proceedings of the American Mathematical Society. 123(5). 1481–1481. 1 indexed citations
15.
Borwein, Peter. (1995). An Efficient Algorithm for the Riemann Zeta Function. 12 indexed citations
16.
Borwein, Peter. (1994). Exact Inequalities for the Norms of Factors of Polynomials. Canadian Journal of Mathematics. 46(4). 687–698. 10 indexed citations
17.
Borwein, Peter & Tamás Erdélyi. (1993). Lacunary Müntz systems. Proceedings of the Edinburgh Mathematical Society. 36(3). 361–374. 4 indexed citations
18.
Borwein, Peter. (1992). On the irrationality of certain series. Mathematical Proceedings of the Cambridge Philosophical Society. 112(1). 141–146. 35 indexed citations
19.
Borwein, Peter. (1991). Variations on Müntz's Theme. Canadian Mathematical Bulletin. 34(3). 305–310. 6 indexed citations
20.
Borwein, Peter. (1981). Markov's and Bernstein's Inequalities on Disjoint Intervals. Canadian Journal of Mathematics. 33(1). 201–209. 6 indexed citations

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.

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