Kevin Broughan
Impact in
- Algebra and Number Theory top 10%
- Analytic Number Theory Research
- Advanced Mathematical Identities
- Theoretical Computer Science top 10%
Papers in
-
- Analytic Number Theory Research 27
- Advanced Mathematical Identities 8
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- Mathematics and Applications 8
- Advanced Topology and Set Theory 8
- Algebraic Geometry and Number Theory 7
- Co-authors
- A.R. Barnett (4 shared papers)Nan Zhu (4 shared papers)Antal Balog (2 shared papers)Igor E. Shparlinski (3 shared papers)Florian Luca (6 shared papers)Jan Awrejcewicz (1 shared paper)Grant Keady (1 shared paper)V.А. Кrysko (1 shared paper)
- Journals
- Mathematics of Computation (5 papers)Journal of Number Theory (3 papers)ACM Transactions on Mathematical Software (2 papers)Canadian Journal of Mathematics (2 papers)Acta Arithmetica (2 papers)
- Partner nations
- New ZealandMexicoAustralia
In The Last Decade
Kevin Broughan
53 papers receiving 192 citations
Peers
Comparison fields: 5 of 42
- Algebra and Number Theory 103
- Theoretical Computer Science 10
- Geometry and Topology 77
- Discrete Mathematics and Combinatorics 28
- Mathematical Physics 65
Countries citing papers authored by Kevin Broughan
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
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-authors
The 13 scholars most cited alongside Kevin Broughan, 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 64 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | The gcd-sum function | 2001 | 18 |
| 2 | 2003 | 18 | |
| 3 | The Average Order of the Dirichlet Series of the gcd-sum Function | 2007 | 13 |
| 4 | 2003 | 9 | |
| 5 | 2017 | 9 | |
| 6 | 2011 | 9 | |
| 7 | 2003 | 8 | |
| 8 | 1991 | 8 | |
| 9 | 1997 | 8 | |
| 10 | On the Ratio of the Sum of Divisors and Euler's Totient Function II | 2014 | 7 |
| 11 | 2017 | 7 | |
| 12 | 2004 | 7 | |
| 13 | 2002 | 6 | |
| 14 | 1997 | 6 | |
| 15 | 2009 | 5 | |
| 16 | 1973 | 5 | |
| 17 | 1995 | 5 | |
| 18 | 1991 | 4 | |
| 19 | 2002 | 4 | |
| 20 | On Integers for Which the Sum of Divisors is the Square of the Squarefree Core | 2012 | 4 |
About Kevin Broughan
Kevin Broughan is a scholar working on Algebra and Number Theory, Geometry and Topology, Mathematical Physics, Discrete Mathematics and Combinatorics and Computational Theory and Mathematics, having authored 64 papers that have together received 235 indexed citations. Recurring topics across this work include Analytic Number Theory Research (27 papers), Mathematics and Applications (8 papers), Advanced Mathematical Identities (8 papers), Advanced Topology and Set Theory (8 papers), Mathematical Dynamics and Fractals (7 papers), Algebraic Geometry and Number Theory (7 papers), Limits and Structures in Graph Theory (6 papers) and History and Theory of Mathematics (5 papers). The work is most often cited by research in Algebra and Number Theory (103 citations), Theoretical Computer Science (10 citations), Geometry and Topology (77 citations), Discrete Mathematics and Combinatorics (28 citations) and Mathematical Physics (65 citations). Kevin Broughan has collaborated with scholars based in New Zealand, Mexico and Australia. Frequent co-authors include A.R. Barnett, Nan Zhu, Antal Balog, Igor E. Shparlinski, Florian Luca, Jan Awrejcewicz, Grant Keady, V.А. Кrysko, Timothy S. Trudgian and Alain Togbé. Their work appears in journals such as Mathematics of Computation, Journal of Number Theory, ACM Transactions on Mathematical Software, Canadian Journal of Mathematics and Acta Arithmetica.
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.