Kevin Broughan

612 total citations
64 papers, 235 citations indexed

About

Kevin Broughan is a scholar working on Algebra and Number Theory, Geometry and Topology and Mathematical Physics. According to data from OpenAlex, Kevin Broughan has authored 64 papers receiving a total of 235 indexed citations (citations by other indexed papers that have themselves been cited), including 29 papers in Algebra and Number Theory, 24 papers in Geometry and Topology and 18 papers in Mathematical Physics. Recurrent topics in Kevin Broughan's work include Analytic Number Theory Research (27 papers), Advanced Topology and Set Theory (8 papers) and Mathematics and Applications (8 papers). Kevin Broughan is often cited by papers focused on Analytic Number Theory Research (27 papers), Advanced Topology and Set Theory (8 papers) and Mathematics and Applications (8 papers). Kevin Broughan collaborates with scholars based in New Zealand, Mexico and Australia. Kevin Broughan's co-authors include A.R. Barnett, Nan Zhu, Igor E. Shparlinski, Antal Balog, Florian Luca, V.А. Кrysko, Timothy S. Trudgian, Jan Awrejcewicz, Grant Keady and Jean–Marie De Koninck and has published in prestigious journals such as Mathematics of Computation, Lecture notes in mathematics and American Mathematical Monthly.

In The Last Decade

Kevin Broughan

53 papers receiving 192 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
Kevin Broughan New Zealand	9	103	77	65	36	34	64	235
William A. Adkins United States	8	97 0.9×	83 1.1×	50 0.8×	33 0.9×	10 0.3×	20	236
Joseph F. Johnson United States	9	73 0.7×	123 1.6×	63 1.0×	17 0.5×	29 0.9×	26	258
Francesco Russo Italy	10	105 1.0×	173 2.2×	86 1.3×	18 0.5×	19 0.6×	27	298
Richard T. Bumby United States	10	110 1.1×	90 1.2×	57 0.9×	26 0.7×	23 0.7×	17	272
Michael Kinyon United States	14	122 1.2×	355 4.6×	77 1.2×	20 0.6×	46 1.4×	71	527
Cristina Ballantine United States	7	95 0.9×	43 0.6×	36 0.6×	17 0.5×	8 0.2×	48	187
Daniel A. Marcus United States	6	54 0.5×	87 1.1×	50 0.8×	11 0.3×	6 0.2×	15	253
L. B. Treybig United States	8	47 0.5×	128 1.7×	100 1.5×	32 0.9×	5 0.1×	28	317
А. С. Тихомиров Russia	8	11 0.1×	100 1.3×	66 1.0×	19 0.5×	14 0.4×	33	174
Reinie Erné France	4	76 0.7×	260 3.4×	149 2.3×	32 0.9×	9 0.3×	7	347

Countries citing papers authored by Kevin Broughan

Since Specialization

Citations

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

Fields of papers citing papers by Kevin Broughan

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Kevin Broughan. 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 Kevin Broughan. The network helps show where Kevin Broughan may publish in the future.

Co-authorship network of co-authors of Kevin Broughan

This figure shows the co-authorship network connecting the top 25 collaborators of Kevin Broughan. A scholar is included among the top collaborators of Kevin Broughan 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 Kevin Broughan. Kevin Broughan 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

Broughan, Kevin. (2023). Equivalents of the Riemann Hypothesis. Cambridge University Press eBooks. 2 indexed citations

Broughan, Kevin. (2021). Bounded Gaps Between Primes. Cambridge University Press eBooks.

Broughan, Kevin, et al.. (2014). On the Ratio of the Sum of Divisors and Euler's Totient Function II. Research Commons (University of Waikato). 17(8). 1–16. 7 indexed citations

Broughan, Kevin, et al.. (2013). A conjecture of De Koninck regarding particular square values of the sum of divisors function. Journal of Number Theory. 137. 50–66. 1 indexed citations

Broughan, Kevin, et al.. (2013). Perfect repdigits. Mathematics of Computation. 82(284). 2439–2459.

Broughan, Kevin, et al.. (2012). On Integers for Which the Sum of Divisors is the Square of the Squarefree Core. Research Commons (University of Waikato). 15(7). 1–12. 4 indexed citations

Broughan, Kevin & Florian Luca. (2010). On the Fürstenberg closure of a class of binary recurrences. Journal of Number Theory. 130(3). 696–706. 3 indexed citations

Broughan, Kevin & A.R. Barnett. (2009). On the subsequence of primes having prime subscripts. Journal of integer sequences. 12(2). 1–12. 5 indexed citations

Broughan, Kevin. (2009). Extension of the Riemann ξ-Function's Logarithmic Derivative Positivity Region to Near the Critical Strip. Canadian Mathematical Bulletin. 52(2). 186–194. 3 indexed citations

10.

Broughan, Kevin. (2003). Characterizing the sum of two cubes.. Journal of integer sequences. 6(4). 1–7. 1 indexed citations

11.

Broughan, Kevin & A.R. Barnett. (2003). The holomorphic flow of the Riemann zeta function. Mathematics of Computation. 73(246). 987–1004. 8 indexed citations

12.

Broughan, Kevin. (2002). Vanishing of the integral of the Hurwitz zeta Function. Bulletin of the Australian Mathematical Society. 65(1). 121–127. 6 indexed citations

13.

Broughan, Kevin. (2001). The gcd-sum function. Journal of integer sequences. 4(2). 1–19. 18 indexed citations

14.

Broughan, Kevin, et al.. (2000). An Integer Programming Problem with a Linear Programming Solution. American Mathematical Monthly. 107(5). 444–444. 1 indexed citations

15.

Zhu, Nan & Kevin Broughan. (1998). On aggregating two linear Diophantine equations. Discrete Applied Mathematics. 82(1-3). 231–246. 1 indexed citations

16.

Broughan, Kevin, et al.. (1997). Curve and Surface Reconstruction in R2 and R3. IEEE International Conference on High Performance Computing, Data, and Analytics. 395. 2 indexed citations

17.

Broughan, Kevin. (1991). SENAC. ACM Transactions on Mathematical Software. 17(4). 462–480. 4 indexed citations

18.

Broughan, Kevin. (1982). Topologies induced by metrics with disconnected range. Bulletin of the Australian Mathematical Society. 25(1). 133–142. 1 indexed citations

19.

Broughan, Kevin. (1977). The intersection of a continuum of open dense sets. Bulletin of the Australian Mathematical Society. 16(2). 267–272. 3 indexed citations

20.

Broughan, Kevin. (1975). Invariants for Real-Generated Uniform Topological and Algebraic Categories. Lecture notes in mathematics. 2 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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