R. R. Hall

1.3k total citations
90 papers, 667 citations indexed

About

R. R. Hall is a scholar working on Algebra and Number Theory, Geometry and Topology and Mathematical Physics. According to data from OpenAlex, R. R. Hall has authored 90 papers receiving a total of 667 indexed citations (citations by other indexed papers that have themselves been cited), including 43 papers in Algebra and Number Theory, 37 papers in Geometry and Topology and 29 papers in Mathematical Physics. Recurrent topics in R. R. Hall's work include Analytic Number Theory Research (36 papers), Mathematics and Applications (15 papers) and Advanced Mathematical Theories (14 papers). R. R. Hall is often cited by papers focused on Analytic Number Theory Research (36 papers), Mathematics and Applications (15 papers) and Advanced Mathematical Theories (14 papers). R. R. Hall collaborates with scholars based in United Kingdom, Hungary and France. R. R. Hall's co-authors include Gérald Tenenbaum, W. K. Hayman, Péter L. Erdős, Allen Weitsman, J. Wilson, Paul Erdős, Don Zagier, M. N. Huxley, Anthony Sudbery and Peter Shiu and has published in prestigious journals such as Bulletin of the London Mathematical Society, Mathematical Proceedings of the Cambridge Philosophical Society and Discrete Mathematics.

In The Last Decade

R. R. Hall

85 papers receiving 575 citations

Peers

R. R. Hall
Thomas C. Craven United States
Douglas Hensley United States
J. S. Hsia United States
Paul Monsky United States
Gert Almkvist Sweden
John Loxton Australia
John Tyrrell United Kingdom
Paul T. Bateman United States
S. W. Graham United States
Hans Peter Schlickewei Germany
Thomas C. Craven United States
R. R. Hall
Citations per year, relative to R. R. Hall R. R. Hall (= 1×) peers Thomas C. Craven

Countries citing papers authored by R. R. Hall

Since Specialization
Citations

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

Fields of papers citing papers by R. R. Hall

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of R. R. Hall

This figure shows the co-authorship network connecting the top 25 collaborators of R. R. Hall. A scholar is included among the top collaborators of R. R. Hall 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. R. Hall. R. R. Hall is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Hall, R. R.. (2005). The parity of Farey denominators and the Farey index. Journal of Number Theory. 115(1). 71–86. 1 indexed citations
2.
Hall, R. R.. (2004). Large spaces between the zeros of the Riemann zeta-function and random matrix theory. Journal of Number Theory. 109(2). 240–265. 10 indexed citations
3.
Hall, R. R.. (2004). On the stationary points of Hardy's function Z(t). Acta Arithmetica. 111(2). 125–140. 9 indexed citations
4.
Hall, R. R.. (2002). A Wirtinger Type Inequality and the Spacing of the Zeros of the Riemann Zeta-Function. Journal of Number Theory. 93(2). 235–245. 28 indexed citations
5.
Hall, R. R.. (2002). Generalized Wirtinger inequalities, random matrix theory, and the zeros of the Riemann zeta-function. Journal of Number Theory. 97(2). 397–409. 16 indexed citations
6.
Erdős, Péter L. & R. R. Hall. (1999). On the angular distribution of Gaussian integers with fixed norm. Discrete Mathematics. 200(1-3). 87–94. 18 indexed citations
7.
Hall, R. R.. (1992). On some conjectures of Erdős in Astérisque, I. Journal of Number Theory. 42(3). 313–319. 2 indexed citations
8.
Hall, R. R. & Gérald Tenenbaum. (1991). Effective mean value estimates for complex multiplicative functions. Mathematical Proceedings of the Cambridge Philosophical Society. 110(2). 337–351. 16 indexed citations
9.
Hall, R. R.. (1989). The distribution of squarefree numbers.. Journal für die reine und angewandte Mathematik (Crelles Journal). 394. 107–117. 32 indexed citations
10.
Hall, R. R. & Gérald Tenenbaum. (1986). The average orders of Hooley’s $\Delta _r$-functions, II. Compositio Mathematica. 60(2). 163–186. 5 indexed citations
11.
Hall, R. R. & Gérald Tenenbaum. (1986). Les ensembles de multiples et la densité divisorielle. Journal of Number Theory. 22(3). 308–333. 1 indexed citations
12.
Hall, R. R.. (1982). On an inequality of E. Heinz. Journal d Analyse Mathématique. 42(1). 185–198. 16 indexed citations
13.
Hall, R. R., et al.. (1975). Some advances in the no-three-in-line problem. Journal of Combinatorial Theory Series A. 18(3). 336–341. 20 indexed citations
14.
Hall, R. R.. (1975). Sums of Imaginary Powers of the Divisors of Integers. Journal of the London Mathematical Society. s2-9(4). 571–580. 6 indexed citations
15.
Erdős, Paul & R. R. Hall. (1974). On the distribution of values of certain divisor functions. Journal of Number Theory. 6(1). 52–63.
16.
Hall, R. R.. (1973). The divisors of p ‐1. Mathematika. 20(1). 87–97. 1 indexed citations
17.
Hall, R. R.. (1971). On the distribution of divisors of integers in residue classes (mod k), III. Journal of Number Theory. 3(3). 278–287. 1 indexed citations
18.
Hall, R. R.. (1971). On the distribution of divisors of integers in residue classes (mod k), II. Journal of Number Theory. 3(2). 204–209. 1 indexed citations
19.
Hall, R. R.. (1970). On the distribution of divisors of integers in residue classes (mod k). Journal of Number Theory. 2(2). 168–188. 9 indexed citations
20.
Hall, R. R.. (1964). 3078. The Euler Maclaurin sum formula. The Mathematical Gazette. 48(363). 80–82. 1 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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