R. C. Vaughan
- Algebra and Number Theory top 0.1%
- Analytic Number Theory Research 57
- Advanced Mathematical Identities 25
-
- Limits and Structures in Graph Theory 16
- Theoretical Computer Science top 0.5%
- History and Theory of Mathematics 20
- Geometry and Topology top 0.5%
- Mathematics and Applications 16
- Algebraic Geometry and Number Theory 13
- Mathematical Physics top 1%
- Advanced Mathematical Theories 13
- Mathematical Dynamics and Fractals 11
- Co-authors
- Hugh L. MontgomeryTrevor D. WooleySanju VelaniBahman SaffariKatherine VaughanRobert E. KleckJohn T. LanzettaAndrew Pollington
- Cited by
- Algebra and Number TheoryDiscrete Mathematics and CombinatoricsTheoretical Computer Science
- Journals
- Acta Arithmetica (11 papers)Proceedings of the London Mathematical Society (10 papers)Journal of the London Mathematical Society (10 papers)
- Partner nations
- United StatesUnited KingdomGermany
In The Last Decade
R. C. Vaughan
104 papers receiving 2.4k citations
Hit Papers
Peers
Comparison fields: 5 of 109
- Algebra and Number Theory 2.2k
- Discrete Mathematics and Combinatorics 976
- Theoretical Computer Science 141
- Geometry and Topology 1.1k
- Mathematical Physics 823
Countries citing papers authored by R. C. Vaughan
This map shows the geographic impact of R. C. Vaughan'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 R. C. Vaughan with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites R. C. Vaughan more than expected).
Fields of papers citing papers by R. C. Vaughan
This network shows the impact of papers produced by R. C. Vaughan. 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 R. C. Vaughan. The network helps show where R. C. Vaughan may publish in the future.
Co-authorship network
The 25 scholars most cited alongside R. C. Vaughan, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.
All Works
| # | Work | ||
|---|---|---|---|
| 1 | 2024 | 1 | |
| 2 | 2023 | 1 | |
| 3 | 2020 | 3 | |
| 4 | 2015 | 3 | |
| 5 | 2011 | 6 | |
| 6 | 2008 | 25 | |
| 7 | Multiplicative Number Theory I: Classical Theorybreakdown → | 2006 | 310 |
| 8 | 2003 | 1 | |
| 9 | 1995 | 16 | |
| 10 | 1993 | 3 | |
| 11 | 1989 | 7 | |
| 12 | 1986 | 15 | |
| 13 | 1985 | 32 | |
| 14 | 1983 | 20 | |
| 15 | 1978 | 6 | |
| 16 | 1973 | 15 | |
| 17 | 1973 | 12 | |
| 18 | 1972 | 2 | |
| 19 | 1972 | 12 | |
| 20 | 1972 | 13 |
About R. C. Vaughan
R. C. Vaughan is a scholar working on Theoretical Computer Science, Algebra and Number Theory and Discrete Mathematics and Combinatorics, having authored 113 papers that have together received 2.8k indexed citations. Recurring topics across this work include Analytic Number Theory Research (57 papers), Advanced Mathematical Identities (25 papers), History and Theory of Mathematics (20 papers), Limits and Structures in Graph Theory (16 papers), Mathematics and Applications (16 papers), Algebraic Geometry and Number Theory (13 papers), Advanced Mathematical Theories (13 papers) and Mathematical Dynamics and Fractals (11 papers). The work is most often cited by research in Algebra and Number Theory (2.2k citations), Discrete Mathematics and Combinatorics (976 citations) and Theoretical Computer Science (141 citations). R. C. Vaughan has collaborated with scholars based in United States, United Kingdom and Germany. Frequent co-authors include Hugh L. Montgomery, Trevor D. Wooley, Sanju Velani, Bahman Saffari, Katherine Vaughan, Robert E. Kleck, John T. Lanzetta, Andrew Pollington, John Loxton and Victor Beresnevich. Their work appears in journals such as Acta Arithmetica, Proceedings of the London Mathematical Society, Journal of the London Mathematical Society, Bulletin of the London Mathematical Society and Mathematika.
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.