R. C. Vaughan

5.5k total citations · 2 hit papers
113 papers, 2.8k citations indexed

About

R. C. Vaughan is a scholar working on Algebra and Number Theory, Geometry and Topology and Mathematical Physics. According to data from OpenAlex, R. C. Vaughan has authored 113 papers receiving a total of 2.8k indexed citations (citations by other indexed papers that have themselves been cited), including 58 papers in Algebra and Number Theory, 36 papers in Geometry and Topology and 30 papers in Mathematical Physics. Recurrent topics in R. C. Vaughan's work include Analytic Number Theory Research (57 papers), Advanced Mathematical Identities (25 papers) and History and Theory of Mathematics (20 papers). R. C. Vaughan is often cited by papers focused on Analytic Number Theory Research (57 papers), Advanced Mathematical Identities (25 papers) and History and Theory of Mathematics (20 papers). R. C. Vaughan collaborates with scholars based in United States, United Kingdom and Germany. R. C. Vaughan's 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 and has published in prestigious 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.

In The Last Decade

R. C. Vaughan

104 papers receiving 2.4k citations

Hit Papers

align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

The Hardy-Littlewood Method

1997 360 citations R. C. Vaughan profile →
Multiplicative Number Theory I: Classical Theory

2006 310 citations Hugh L. Montgomery, R. C. Vaughan CERN Document Server (European Organization for Nuclear Research) profile →

Peers

R. C. Vaughan

ANT

GT

DMC

MP

AM

David M. Bressoud United States

Fred Richman United States

Jan Mycielski United States

David E. Dobbs United States

Leonard Gillman United States

Thomas Ward United Kingdom

Robert Ellis United States

Graham A. Niblo United Kingdom

Joachim Lambek Canada

Arthur T. Benjamin United States

David M. Bressoud United States

R. C. Vaughan

736 ×0.3

ANT

351 ×0.3

GT

655 ×0.7

DMC

174 ×0.2

MP

225 ×0.7

AM

Citations per year, relative to R. C. Vaughan R. C. Vaughan (= 1×) peers David M. Bressoud

Countries citing papers authored by R. C. Vaughan

Since Specialization

Citations

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

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

1.

Vaughan, R. C., et al.. (2024). Squarefree density of polynomials. Acta Arithmetica. 214. 215–233. 1 indexed citations

2.

Matomäki, Kaisa, K. Soundararajan, R. C. Vaughan, & Trevor D. Wooley. (2023). Analytic Number Theory. Oberwolfach Reports. 19(4). 2895–2960. 1 indexed citations

3.

Brüdern, Jörg, Kaisa Matomäki, R. C. Vaughan, & Trevor D. Wooley. (2020). Analytic Number Theory. Oberwolfach Reports. 16(4). 3141–3205. 3 indexed citations

4.

Vaughan, R. C.. (2015). Zeros of Dirichlet series. Indagationes Mathematicae. 26(5). 897–909. 3 indexed citations

5.

Vaughan, R. C., et al.. (2011). Mean value theorems for binary Egyptian fractions. Journal of Number Theory. 131(9). 1641–1656. 6 indexed citations

6.

Brüdern, Jörg, Hugh L. Montgomery, & R. C. Vaughan. (2008). Analytic Number Theory. Oberwolfach Reports. 5(1). 669–746. 25 indexed citations

7.

Montgomery, Hugh L. & R. C. Vaughan. (2006). Multiplicative Number Theory I: Classical Theory. CERN Document Server (European Organization for Nuclear Research). 310 indexed citations breakdown →

8.

Vaughan, R. C.. (2003). A mean value theorem for cubic fields. Journal of Number Theory. 100(1). 169–183. 1 indexed citations

9.

Montgomery, Hugh L., R. C. Vaughan, & Trevor D. Wooley. (1995). Some remarks on Gauss sums associated with kth powers. Mathematical Proceedings of the Cambridge Philosophical Society. 118(1). 21–33. 16 indexed citations

10.

Vaughan, R. C.. (1993). The use in additive number theory of numbers without large prime factors. Philosophical Transactions of the Royal Society of London Series A Physical and Engineering Sciences. 345(1676). 363–376. 3 indexed citations

11.

Peterson, Merrill D., et al.. (1989). The Virginia Statute for Religious Freedom: Its Evolution and Consequences in American History. Journal of American History. 76(2). 585–585. 7 indexed citations

12.

Montgomery, Hugh L. & R. C. Vaughan. (1986). On the Distribution of Reduced Residues. Annals of Mathematics. 123(2). 311–311. 15 indexed citations

13.

Vaughan, R. C.. (1985). Sums of Three Cubes. Bulletin of the London Mathematical Society. 17(1). 17–20. 32 indexed citations

14.

Riesel, Hans & R. C. Vaughan. (1983). On sums of primes. Arkiv för matematik. 21(1-2). 45–74. 20 indexed citations

15.

Roth, K. F. & R. C. Vaughan. (1978). Inefficiency in packing squares with unit squares. Journal of Combinatorial Theory Series A. 24(2). 170–186. 6 indexed citations

16.

Montgomery, Hugh L. & R. C. Vaughan. (1973). ERROR TERMS IN ADDITIVE PRIME NUMBER THEORY. The Quarterly Journal of Mathematics. 24(1). 207–216. 15 indexed citations

17.

Vaughan, R. C.. (1973). Some applications of Montgomery's sieve. Journal of Number Theory. 5(1). 64–79. 12 indexed citations

18.

Vaughan, R. C.. (1972). On the Number of Solutions of the Equation P = a+n ₁…n_k with a = p ⩾ x. Journal of the London Mathematical Society. s2-6(1). 43–55. 2 indexed citations

19.

Vaughan, R. C.. (1972). On the addition of sequences of integers. Journal of Number Theory. 4(1). 1–16. 12 indexed citations

20.

Vaughan, R. C.. (1972). On Goldbach's problem. Acta Arithmetica. 22(1). 21–48. 13 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.

Explore authors with similar magnitude of impact