D. R. Heath‐Brown

9.8k citations

143 papers · 5.0k indexed · 1 hit paper · h-index 32

Algebra and Number Theory top 0.02%
Geometry and Topology top 0.1%
Mathematical Physics top 0.2%
Discrete Mathematics and Combinatorics top 0.2%
Applied Mathematics top 0.5%

Co-authors: E. C. Titchmarsh T. D. Browning Henryk Iwaniec S. J. Patterson J. Brian Conrey D. A. Goldston Per Salberger Leonard M. Adleman
Topics: Analytic Number Theory Research (97 papers)Algebraic Geometry and Number Theory (48 papers)History and Theory of Mathematics (32 papers)
Cited by: Algebra and Number Theory Discrete Mathematics and Combinatorics Theoretical Computer Science
Journals: SHILAP Revista de lepidopterologíaMathematics of Computation Annals of Mathematics
Partner nations: United States United Kingdom Slovakia

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

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

#	Work	Indexed citations
1	Equidistribution for solutions of $p+m^2+n^2=N$, and for Châtelet surfaces 2023 ·Acta Arithmetica ·D. R. Heath‐Brown	1
2	The geometric sieve for quadrics 2020 ·Oxford University Research Archive (ORA) (University of Oxford) ·T. D. Browning,D. R. Heath‐Brown	1
3	Counting rational points on quadric surfaces 2018 ·SHILAP Revista de lepidopterología ·T. D. Browning,D. R. Heath‐Brown	3
4	Sums and differences of three kth powers 2009 ·Journal of Number Theory ·D. R. Heath‐Brown	6
5	Density of non-residues in Burgess-type intervals and applications 2008 ·Oxford University Research Archive (ORA) (University of Oxford) ·D. R. Heath‐Brown,William D. Banks,M. Z. Garaev,Igor E. Shparlinski	10
6	Every sum of cubes in F2[t] is a strict sum of 6 cubes 2007 ·Finite Fields and Their Applications ·(unknown),D. R. Heath‐Brown	1
7	The average rank of elliptic curves 2004 ·Oxford University Research Archive (ORA) (University of Oxford) ·D. R. Heath‐Brown	0
8	The Density of Rational Points on Curves and Surfaces 2002 ·Annals of Mathematics ·D. R. Heath‐Brown	106
9	Primes represented by $x^3+2y^3$ 2001 ·Oxford University Research Archive (ORA) (University of Oxford) ·D. R. Heath‐Brown	0
10	RANDOM MATRICES, FROBENIUS EIGENVALUES, AND MONODROMY (American Mathematical Society Colloquium Publications 45) 2000 ·Bulletin of the London Mathematical Society ·D. R. Heath‐Brown	13
11	The largest prime factor of the integers in an interval. 1996 ·Science in China Series B Chemistry ·D. R. Heath‐Brown	4
12	Sign Changes of E(T), Δ(x), and P(x) 1994 ·Journal of Number Theory ·D. R. Heath‐Brown,(unknown)	17
13	Zero-Free Regions for Dirichlet L-Functions, and the Least Prime in an Arithmetic Progression 1992 ·Proceedings of the London Mathematical Society ·D. R. Heath‐Brown	118
14	The number of primes in a short interval. 1988 ·Journal für die reine und angewandte Mathematik (Crelles Journal) ·D. R. Heath‐Brown	34
15	Small solutions of quadratic congruences 1985 ·Glasgow Mathematical Journal ·D. R. Heath‐Brown	20
16	Fermat's two squares theorem 1984 ·Oxford University Research Archive (ORA) (University of Oxford) ·D. R. Heath‐Brown	9
17	The Pjateckiĭ-Sapiro prime number theorem 1983 ·Journal of Number Theory ·D. R. Heath‐Brown	98
18	Prime Numbers in Short Intervals and a Generalized Vaughan Identity 1982 ·Canadian Journal of Mathematics ·D. R. Heath‐Brown	123
19	The Density of Zeros of Dirichlet's L-Functions 1979 ·Canadian Journal of Mathematics ·D. R. Heath‐Brown	7
20	Almost-primes in arithmetic progressions and short intervals 1978 ·Mathematical Proceedings of the Cambridge Philosophical Society ·D. R. Heath‐Brown	40

About D. R. Heath‐Brown

D. R. Heath‐Brown is a scholar working on Theoretical Computer Science, Algebra and Number Theory and Geometry and Topology, having authored 143 papers that have together received 5.0k indexed citations. Recurring topics across this work include Analytic Number Theory Research (97 papers), Algebraic Geometry and Number Theory (48 papers) and History and Theory of Mathematics (32 papers). The work is most often cited by research in Algebra and Number Theory (3.7k citations), Discrete Mathematics and Combinatorics (1.2k citations) and Theoretical Computer Science (293 citations). D. R. Heath‐Brown has collaborated with scholars based in United States, United Kingdom and Slovakia. Frequent 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. Their work appears in journals such as SHILAP Revista de lepidopterología, Mathematics of Computation and Annals of Mathematics.

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