H. Halberstam

1.4k total citations
53 papers, 628 citations indexed

About

H. Halberstam is a scholar working on Algebra and Number Theory, Geometry and Topology and Mathematical Physics. According to data from OpenAlex, H. Halberstam has authored 53 papers receiving a total of 628 indexed citations (citations by other indexed papers that have themselves been cited), including 22 papers in Algebra and Number Theory, 15 papers in Geometry and Topology and 11 papers in Mathematical Physics. Recurrent topics in H. Halberstam's work include Analytic Number Theory Research (20 papers), Mathematics and Applications (11 papers) and History and Theory of Mathematics (10 papers). H. Halberstam is often cited by papers focused on Analytic Number Theory Research (20 papers), Mathematics and Applications (11 papers) and History and Theory of Mathematics (10 papers). H. Halberstam collaborates with scholars based in United States, United Kingdom and Germany. H. Halberstam's co-authors include C. Hooley, K. F. Roth, H.-E. Richert, Harold G. Diamond, H. Davenport, Bruce C. Berndt, Hubert Delange, Gregory A. Freiman, Imre Z. Ruzsa and P. D. T. A. Elliott and has published in prestigious journals such as Transactions of the American Mathematical Society, American Mathematical Monthly and Pacific Journal of Mathematics.

In The Last Decade

H. Halberstam

44 papers receiving 509 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
H. Halberstam United States	15	370	227	209	152	110	53	628
Harold G. Diamond United States	15	429 1.2×	241 1.1×	122 0.6×	229 1.5×	97 0.9×	63	695
Paul T. Bateman United States	13	429 1.2×	247 1.1×	155 0.7×	145 1.0×	90 0.8×	41	619
Peter Shiu United Kingdom	9	432 1.2×	379 1.7×	161 0.8×	207 1.4×	128 1.2×	46	731
G. Harman United Kingdom	10	439 1.2×	294 1.3×	269 1.3×	179 1.2×	139 1.3×	34	747
A. J. van der Poorten Australia	15	231 0.6×	238 1.0×	89 0.4×	235 1.5×	259 2.4×	73	680
P. D. T. A. Elliott United States	15	586 1.6×	260 1.1×	183 0.9×	344 2.3×	102 0.9×	91	909
John Loxton Australia	14	191 0.5×	124 0.5×	83 0.4×	145 1.0×	115 1.0×	47	444
Emma Lehmer United States	16	288 0.8×	266 1.2×	124 0.6×	117 0.8×	104 0.9×	51	644
K. Mahler Australia	14	257 0.7×	324 1.4×	72 0.3×	271 1.8×	240 2.2×	37	743
S. W. Graham United States	10	385 1.0×	161 0.7×	154 0.7×	113 0.7×	40 0.4×	23	501

Countries citing papers authored by H. Halberstam

Since Specialization

Citations

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

Fields of papers citing papers by H. Halberstam

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of H. Halberstam

This figure shows the co-authorship network connecting the top 25 collaborators of H. Halberstam. A scholar is included among the top collaborators of H. Halberstam 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 H. Halberstam. H. Halberstam 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

Diamond, Harold G. & H. Halberstam. (2007). Some properties of the Ankeny-Onishi function. Functiones et Approximatio Commentarii Mathematici. 37(1).

Ford, Kevin & H. Halberstam. (2000). The Brun–Hooley Sieve. Journal of Number Theory. 81(2). 335–350. 4 indexed citations

Diamond, Harold G. & H. Halberstam. (1997). On the Sieve Parametersακandβκfor Largeκ. Journal of Number Theory. 67(1). 52–84. 1 indexed citations

Halberstam, H., Bruce C. Berndt, Harold G. Diamond, & Adolf Hildebrand. (1996). Analytic number theory : proceedings of a conference in honor of Heini Halberstam. Birkhäuser eBooks. 15 indexed citations

Diamond, Harold G., H. Halberstam, & H.-E. Richert. (1995). MONOTONICITY OF THE ZERO OF THE SIEVE AUXILIARY FUNCTION χκ IN THE RANGE 3/2 < κ < 2. Analysis. 15(1). 1–16. 4 indexed citations

Diamond, Harold G., H. Halberstam, & H.-E. Richert. (1994). A Boundary Value Problem for a Pair of Differential Delay Equations Related to Sieve Theory .III.. Journal of Number Theory. 47(3). 300–328. 3 indexed citations

Diamond, Harold G., H. Halberstam, & H.-E. Richert. (1994). ESTIMATION OF THE SIEVE AUXILIARY FUNCTIONS qk IN THE RANGE 1 < k < 2. Analysis. 14(1). 75–102. 3 indexed citations

Diamond, Harold G., H. Halberstam, & H.-E. Richert. (1993). A Boundary Value Problem for a Pair of Differential Delay Equations Related to Sieve Theory, II. Journal of Number Theory. 45(2). 129–185. 3 indexed citations

Berndt, Bruce C., et al.. (1990). Analytic Number Theory. CERN Document Server (European Organization for Nuclear Research). 40 indexed citations

10.

Diamond, Harold G., H. Halberstam, & H.-E. Richert. (1988). Combinatorial sieves of dimension exceeding one. Journal of Number Theory. 28(3). 306–346. 17 indexed citations

11.

Halberstam, H. & C. Hooley. (1981). Recent progress in analytic number theory. Medical Entomology and Zoology. 82 indexed citations

12.

Halberstam, H. & H.-E. Richert. (1979). On a result of R. R. Hall. Journal of Number Theory. 11(1). 76–89. 35 indexed citations

13.

Halberstam, H.. (1974). Transcendental numbers. The Mathematical Gazette. 58(406). 276–284. 7 indexed citations

14.

Halberstam, H., et al.. (1973). Bran's method and the Fundamental Lemma. Acta Arithmetica. 24(2). 113–133. 2 indexed citations

15.

Halberstam, H.. (1972). The distribution of sequences in arithmetic progressions. French digital mathematics library (Numdam). 13(2). 1–5. 8 indexed citations

16.

Halberstam, H. & H.-E. Richert. (1972). The distribution of polynomial sequences. Mathematika. 19(1). 25–50. 1 indexed citations

17.

Halberstam, H. & D. A. Burgess. (1971). Harold Davenport, 1907-1969. Biographical Memoirs of Fellows of the Royal Society. 159–192. 1 indexed citations

18.

Halberstam, H.. (1970). On Integers All of Whose Prime Factors are Small. Proceedings of the London Mathematical Society. s3-21(1). 102–107. 8 indexed citations

19.

Davenport, H. & H. Halberstam. (1966). The values of a trigonometrical polynomial at well spaced points. Mathematika. 13(1). 91–96. 26 indexed citations

20.

Halberstam, H. & R. R. Laxton. (1964). Perfect difference sets. Proceedings of the Glasgow Mathematical Association. 6(4). 177–184. 7 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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