D. R. Heath‐Brown

9.8k citations
143 papers · 5.0k indexed · 1 hit paper · h-index 32

D. R. Heath‐Brown

138 papers receiving 4.3k citations

Hit Papers

The Theory of the Riemann Zeta-Function1.6k198720262000201350010001.5k

Peers

D. R. Heath‐Brown
Comparison fields: 5 of 81
  • Algebra and Number Theory 3.7k
  • Discrete Mathematics and Combinatorics 1.2k
  • Theoretical Computer Science 293
  • Geometry and Topology 2.0k
  • Mathematical Physics 1.7k
Replace Enrico Bombieri with:
Enrico Bombieri United States
T. Y. Lam United States
Don Zagier Germany
Peter Sarnak United States
Doron Zeilberger United States
Henryk Iwaniec United States
Bruce C. Berndt United States
Jacques Tits France
Alexandre Grothendieck France
Nicholas M. Katz United States
D. R. Heath‐Brown relative to Enrico Bombieri United States Enrico Bombieri's profile →
Citations per field
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Enrico Bombieri · 1×
Citations per year

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

The 21 scholars most cited alongside D. R. Heath‐Brown, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with D. R. Heath‐Brown Line = papers co-authored together D. R. Heath‐Brown links everyone, so they are left out of the graph.

All Works

20 of 20 papers shown
#Work
1 20231
2
The geometric sieve for quadrics
20201
3 20183
4 20096
5
Density of non-residues in Burgess-type intervals and applications
200810
6 20071
7
The average rank of elliptic curves
20040
8 2002106
9
Primes represented by $x^3+2y^3$
20010
10 200013
11
The largest prime factor of the integers in an interval.
19964
12 199417
13 1992118
14
The number of primes in a short interval.
198834
15 198520
16 19849
17 198398
18 1982123
19 19797
20 197840

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), History and Theory of Mathematics (32 papers), Mathematics and Applications (20 papers), Advanced Mathematical Identities (18 papers), Meromorphic and Entire Functions (17 papers), Limits and Structures in Graph Theory (14 papers) and Advanced Algebra and Geometry (13 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.

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