Michael A. Bennett

868 total citations
26 papers, 355 citations indexed

About

Michael A. Bennett is a scholar working on Geometry and Topology, Algebra and Number Theory and Discrete Mathematics and Combinatorics. According to data from OpenAlex, Michael A. Bennett has authored 26 papers receiving a total of 355 indexed citations (citations by other indexed papers that have themselves been cited), including 11 papers in Geometry and Topology, 11 papers in Algebra and Number Theory and 7 papers in Discrete Mathematics and Combinatorics. Recurrent topics in Michael A. Bennett's work include Analytic Number Theory Research (9 papers), Limits and Structures in Graph Theory (7 papers) and Algebraic Geometry and Number Theory (5 papers). Michael A. Bennett is often cited by papers focused on Analytic Number Theory Research (9 papers), Limits and Structures in Graph Theory (7 papers) and Algebraic Geometry and Number Theory (5 papers). Michael A. Bennett collaborates with scholars based in United States, Canada and Netherlands. Michael A. Bennett's co-authors include Jonathan Pakianathan, Alex Iosevich, Derrick Hart, Misha Rudnev, Ronald van Luijk, Yann Bugeaud, Maurice Mignotte, Michael Filaseta, Bruce Reznick and Takao Komatsu and has published in prestigious journals such as Mathematics of Computation, Transactions of the American Mathematical Society and American Mathematical Monthly.

In The Last Decade

Michael A. Bennett

23 papers receiving 313 citations

Peers

Michael A. Bennett

ANT

DMC

CTM

Reinie Erné France

Francesco Russo Italy

Jorge L. Ramírez Alfonsín France

R. F. Lax United States

Lorenzo Traldi United States

Kevin Broughan New Zealand

Jürgen Klüners Germany

Walter Wenzel Germany

Markus Kuba Austria

Daniel A. Marcus United States

Reinie Erné France

Michael A. Bennett

76 ×0.4

ANT

260 ×1.8

27 ×0.3

DMC

149 ×2.1

65 ×1.4

CTM

Citations per year, relative to Michael A. Bennett Michael A. Bennett (= 1×) peers Reinie Erné

Countries citing papers authored by Michael A. Bennett

Since Specialization

Citations

This map shows the geographic impact of Michael A. Bennett'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 Michael A. Bennett with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Michael A. Bennett more than expected).

Fields of papers citing papers by Michael A. Bennett

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Michael A. Bennett. 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 Michael A. Bennett. The network helps show where Michael A. Bennett may publish in the future.

Co-authorship network of co-authors of Michael A. Bennett

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

All Works

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20 of 20 papers shown

Chapman, Jeffryes W., Michael A. Bennett, & Michael T. Tong. (2025). Performance and Weight Estimates of an Open Rotor Propulsion System Concept for Next Generation Aircraft.

Bennett, Michael A., Jeffryes W. Chapman, & Douglas P. Wells. (2024). An Approach to Evaluating the Impact of Small-core Turbofan Technologies on Engine and Aircraft Performance.

Bennett, Michael A.. (2018). Occurrence of right angles in vector spaces over finite fields. European Journal of Combinatorics. 70. 155–163. 3 indexed citations

Bennett, Michael A., et al.. (2017). The Basics of FMEA. Productivity Press eBooks. 54 indexed citations

Bennett, Michael A., Derrick Hart, Alex Iosevich, Jonathan Pakianathan, & Misha Rudnev. (2016). Group actions and geometric combinatorics in 𝔽qd$\mathbb{F}_{q}^{d}$. Forum Mathematicum. 29(1). 91–110. 26 indexed citations

Bennett, Michael A., Alex Iosevich, & Jonathan Pakianathan. (2014). Three-point configurations determined by subsets of $$\mathbb{F}_q^2$$ via the Elekes-Sharir Paradigm. COMBINATORICA. 34(6). 689–706. 17 indexed citations

Bennett, Michael A., et al.. (2013). On the number of solutions of binomial Thue inequalities. Publicationes Mathematicae Debrecen. 83(1-2). 241–256. 2 indexed citations

Bennett, Michael A. & Ronald van Luijk. (2012). Squares from blocks of consecutive integers: A problem of Erdős and Graham. Indagationes Mathematicae. 23(1-2). 123–127. 8 indexed citations

Bennett, Michael A., Yann Bugeaud, & Maurice Mignotte. (2012). Perfect powers with few binary digits and related Diophantine problems, II. Mathematical Proceedings of the Cambridge Philosophical Society. 153(3). 525–540. 10 indexed citations

10.

Bennett, Michael A., et al.. (2009). On the factorization of consecutive integers. Journal für die reine und angewandte Mathematik (Crelles Journal). 2009(629). 7 indexed citations

11.

Bennett, Michael A.. (2005). A Question of Sierpinski on Triangular Numbers. Zenodo (CERN European Organization for Nuclear Research). 5(1). 1 indexed citations

12.

Bennett, Michael A. & Bruce Reznick. (2004). Positive Rational Solutions to x y = y mx : A Number-Theoretic Excursion. American Mathematical Monthly. 111(1). 13–13. 2 indexed citations

13.

Bennett, Michael A., et al.. (2002). Applications of the Hypergeometric Method to the Generalized Ramanujan-Nagell Equation. The Ramanujan Journal. 6(2). 209–270. 37 indexed citations

14.

Bennett, Michael A.. (2001). Rational approximation to algebraic numbers of small height: the Diophantine equation |axn - byn|= 1. Journal für die reine und angewandte Mathematik (Crelles Journal). 2001(535). 1–49. 41 indexed citations

15.

Bennett, Michael A., et al.. (2001). On Some Exponential Equations of.

16.

Bennett, Michael A., et al.. (1999). The Integration of HPC Systems in a Test and Evaluation Real-Time Environment.. Parallel and Distributed Processing Techniques and Applications. 2894–2898. 2 indexed citations

17.

Bennett, Michael A., et al.. (1998). On the Diophantine equation |𝑎𝑥ⁿ-𝑏𝑦ⁿ|=1. Mathematics of Computation. 67(221). 413–438. 10 indexed citations

18.

Bennett, Michael A.. (1998). On the number of solutions of simultaneous Pell equations. Journal für die reine und angewandte Mathematik (Crelles Journal). 1998(498). 173–199. 46 indexed citations

19.

Bennett, Michael A.. (1996). Simultaneous rational approximation to binomial functions. Transactions of the American Mathematical Society. 348(5). 1717–1738. 16 indexed citations

20.

Preist, Chris, et al.. (1991). AGATHA: An Integrated Expert System to Test and Diagnose Complex PC Boards. 1 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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