R. C. Vaughan
- Algebra and Number Theory top 0.1%
- Geometry and Topology top 0.5%
- Discrete Mathematics and Combinatorics top 0.2%
- Mathematical Physics top 1%
- Applied Mathematics top 2%
- Co-authors
- Hugh L. MontgomeryTrevor D. WooleySanju VelaniBahman SaffariKatherine VaughanRobert E. KleckJohn T. LanzettaAndrew Pollington
- Topics
- Analytic Number Theory Research (57 papers)Advanced Mathematical Identities (25 papers)History and Theory of Mathematics (20 papers)
- Cited by
- Algebra and Number TheoryDiscrete Mathematics and CombinatoricsTheoretical Computer Science
- Journals
- Journal of Personality and Social PsychologyAnnals of MathematicsPhilosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences
- 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
- Geometry and Topology 1.1k
- Discrete Mathematics and Combinatorics 976
- Mathematical Physics 823
- Applied Mathematics 342
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 of co-authors of R. C. Vaughan
This figure shows the co-authorship network connecting the top 25 collaborators of R. C. Vaughan. A scholar is included among the top collaborators of R. C. Vaughan 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 R. C. Vaughan. R. C. Vaughan is excluded from the visualization to improve readability, since they are connected to all nodes in the network.
All Works
| # | Work | Indexed citations |
|---|---|---|
| 1 | 1 | |
| 2 | 1 | |
| 3 | 3 | |
| 4 | 3 | |
| 5 | 6 | |
| 6 | 25 | |
| 7 | Multiplicative Number Theory I: Classical Theorybreakdown → | 310 |
| 8 | 1 | |
| 9 | 16 | |
| 10 | 3 | |
| 11 | 7 | |
| 12 | 15 | |
| 13 | 32 | |
| 14 | 20 | |
| 15 | 6 | |
| 16 | 15 | |
| 17 | 12 | |
| 18 | 2 | |
| 19 | 12 | |
| 20 | 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) and History and Theory of Mathematics (20 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 Journal of Personality and Social Psychology, Annals of Mathematics and Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences.
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.