D. R. Heath‐Brown

9.8k total citations · 1 hit paper
143 papers, 5.0k citations indexed

About

D. R. Heath‐Brown is a scholar working on Algebra and Number Theory, Geometry and Topology and Mathematical Physics. According to data from OpenAlex, D. R. Heath‐Brown has authored 143 papers receiving a total of 5.0k indexed citations (citations by other indexed papers that have themselves been cited), including 99 papers in Algebra and Number Theory, 71 papers in Geometry and Topology and 32 papers in Mathematical Physics. Recurrent topics in D. R. Heath‐Brown's work include Analytic Number Theory Research (97 papers), Algebraic Geometry and Number Theory (48 papers) and History and Theory of Mathematics (32 papers). D. R. Heath‐Brown is often cited by papers focused on Analytic Number Theory Research (97 papers), Algebraic Geometry and Number Theory (48 papers) and History and Theory of Mathematics (32 papers). D. R. Heath‐Brown collaborates with scholars based in United States, United Kingdom and Slovakia. D. R. Heath‐Brown's co-authors include E. C. Titchmarsh, T. D. Browning, Henryk Iwaniec, S. J. Patterson, J. Brian Conrey, D. A. Goldston, Per Salberger, Leonard M. Adleman, Alexei N. Skorobogatov and Caihong Jia and has published in prestigious journals such as SHILAP Revista de lepidopterología, Mathematics of Computation and Annals of Mathematics.

In The Last Decade

D. R. Heath‐Brown

138 papers receiving 4.3k 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 Theory of the Riemann Zeta-Function

1987 1.6k citations D. R. Heath‐Brown et al. profile →

Peers

D. R. Heath‐Brown

ANT

GT

MP

DMC

AM

Henryk Iwaniec United States

Bruce C. Berndt United States

Peter Sarnak United States

Enrico Bombieri United States

T. Y. Lam United States

Don Zagier Germany

Doron Zeilberger United States

Nicholas M. Katz United States

Hugh L. Montgomery United States

L. Carlitz United States

Henryk Iwaniec United States

D. R. Heath‐Brown

4.6k ×1.3

ANT

2.3k ×1.1

GT

2.9k ×1.7

MP

1.7k ×1.3

DMC

529 ×0.5

AM

Citations per year, relative to D. R. Heath‐Brown D. R. Heath‐Brown (= 1×) peers Henryk Iwaniec

Countries citing papers authored by D. R. Heath‐Brown

Since Specialization

Citations

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

Fields of papers citing papers by D. R. Heath‐Brown

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by D. R. Heath‐Brown. 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 D. R. Heath‐Brown. The network helps show where D. R. Heath‐Brown may publish in the future.

Co-authorship network of co-authors of D. R. Heath‐Brown

This figure shows the co-authorship network connecting the top 25 collaborators of D. R. Heath‐Brown. A scholar is included among the top collaborators of D. R. Heath‐Brown 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 D. R. Heath‐Brown. D. R. Heath‐Brown 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.

Heath‐Brown, D. R.. (2023). Equidistribution for solutions of $p+m^2+n^2=N$, and for Châtelet surfaces. Acta Arithmetica. 214. 23–37. 1 indexed citations

2.

Browning, T. D. & D. R. Heath‐Brown. (2020). The geometric sieve for quadrics. Oxford University Research Archive (ORA) (University of Oxford). 1 indexed citations

3.

Browning, T. D. & D. R. Heath‐Brown. (2018). Counting rational points on quadric surfaces. SHILAP Revista de lepidopterología. 3 indexed citations

4.

Heath‐Brown, D. R.. (2009). Sums and differences of three kth powers. Journal of Number Theory. 129(6). 1579–1594. 6 indexed citations

5.

Heath‐Brown, D. R., William D. Banks, M. Z. Garaev, & Igor E. Shparlinski. (2008). Density of non-residues in Burgess-type intervals and applications. Oxford University Research Archive (ORA) (University of Oxford). 10 indexed citations

6.

Heath‐Brown, D. R., et al.. (2007). Every sum of cubes in F2[t] is a strict sum of 6 cubes. Finite Fields and Their Applications. 13(4). 981–987. 1 indexed citations

7.

Heath‐Brown, D. R.. (2004). The average rank of elliptic curves. Oxford University Research Archive (ORA) (University of Oxford).

8.

Heath‐Brown, D. R.. (2002). The Density of Rational Points on Curves and Surfaces. Annals of Mathematics. 155(2). 553–553. 106 indexed citations

9.

Heath‐Brown, D. R.. (2001). Primes represented by $x^3+2y^3$. Oxford University Research Archive (ORA) (University of Oxford).

10.

Heath‐Brown, D. R.. (2000). RANDOM MATRICES, FROBENIUS EIGENVALUES, AND MONODROMY (American Mathematical Society Colloquium Publications 45). Bulletin of the London Mathematical Society. 32(1). 118–119. 13 indexed citations

11.

Heath‐Brown, D. R.. (1996). The largest prime factor of the integers in an interval.. Science in China Series B Chemistry. 39(5). 449–476. 4 indexed citations

12.

Heath‐Brown, D. R., et al.. (1994). Sign Changes of E(T), Δ(x), and P(x). Journal of Number Theory. 49(1). 73–83. 17 indexed citations

13.

Heath‐Brown, D. R.. (1992). Zero-Free Regions for Dirichlet L-Functions, and the Least Prime in an Arithmetic Progression. Proceedings of the London Mathematical Society. s3-64(2). 265–338. 118 indexed citations

14.

Heath‐Brown, D. R.. (1988). The number of primes in a short interval.. Journal für die reine und angewandte Mathematik (Crelles Journal). 389. 22–63. 34 indexed citations

15.

Heath‐Brown, D. R.. (1985). Small solutions of quadratic congruences. Glasgow Mathematical Journal. 27. 87–93. 20 indexed citations

16.

Heath‐Brown, D. R.. (1984). Fermat's two squares theorem. Oxford University Research Archive (ORA) (University of Oxford). 89. 1–5. 9 indexed citations

17.

Heath‐Brown, D. R.. (1983). The Pjateckiĭ-Sapiro prime number theorem. Journal of Number Theory. 16(2). 242–266. 98 indexed citations

18.

Heath‐Brown, D. R.. (1982). Prime Numbers in Short Intervals and a Generalized Vaughan Identity. Canadian Journal of Mathematics. 34(6). 1365–1377. 123 indexed citations

19.

Heath‐Brown, D. R.. (1979). The Density of Zeros of Dirichlet's L-Functions. Canadian Journal of Mathematics. 31(2). 231–240. 7 indexed citations

20.

Heath‐Brown, D. R.. (1978). Almost-primes in arithmetic progressions and short intervals. Mathematical Proceedings of the Cambridge Philosophical Society. 83(3). 357–375. 40 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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