B. J. Birch

2.1k total citations
43 papers, 1.1k citations indexed

About

B. J. Birch is a scholar working on Geometry and Topology, Mathematical Physics and Algebra and Number Theory. According to data from OpenAlex, B. J. Birch has authored 43 papers receiving a total of 1.1k indexed citations (citations by other indexed papers that have themselves been cited), including 20 papers in Geometry and Topology, 15 papers in Mathematical Physics and 12 papers in Algebra and Number Theory. Recurrent topics in B. J. Birch's work include Algebraic Geometry and Number Theory (11 papers), Analytic Number Theory Research (9 papers) and Mathematics and Applications (7 papers). B. J. Birch is often cited by papers focused on Algebraic Geometry and Number Theory (11 papers), Analytic Number Theory Research (9 papers) and Mathematics and Applications (7 papers). B. J. Birch collaborates with scholars based in United Kingdom, Slovakia and Australia. B. J. Birch's co-authors include H. P. F. Swinnerton-Dyer, H. Davenport, N. M. Stephens, Eduard Wirsing, D. J. Lewis, A. Baker, K. McCann, Peter Neumann, R. G. Burns and Carol Ann Rogers and has published in prestigious journals such as Annals of Mathematics, Lecture notes in mathematics and Acta Mathematica.

In The Last Decade

B. J. Birch

42 papers receiving 878 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
B. J. Birch United Kingdom	18	735	585	418	196	189	43	1.1k
T. N. Shorey India	15	572 0.8×	669 1.1×	300 0.7×	204 1.0×	175 0.9×	101	1.0k
K. Mahler Australia	14	324 0.4×	257 0.4×	271 0.6×	72 0.4×	240 1.3×	37	743
P. D. T. A. Elliott United States	15	260 0.4×	586 1.0×	344 0.8×	183 0.9×	102 0.5×	91	909
M. N. Huxley United Kingdom	16	484 0.7×	947 1.6×	416 1.0×	299 1.5×	100 0.5×	71	1.3k
Jürgen Neukirch Germany	9	1.2k 1.6×	507 0.9×	806 1.9×	266 1.4×	224 1.2×	14	1.4k
Peter Shiu United Kingdom	9	379 0.5×	432 0.7×	207 0.5×	161 0.8×	128 0.7×	46	731
A. J. van der Poorten Australia	15	238 0.3×	231 0.4×	235 0.6×	89 0.5×	259 1.4×	73	680
H. Halberstam United States	15	227 0.3×	370 0.6×	152 0.4×	209 1.1×	110 0.6×	53	628
Robert Rumely United States	12	380 0.5×	243 0.4×	257 0.6×	73 0.4×	148 0.8×	28	628
Emma Lehmer United States	16	266 0.4×	288 0.5×	117 0.3×	124 0.6×	104 0.6×	51	644

Countries citing papers authored by B. J. Birch

Since Specialization

Citations

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

Fields of papers citing papers by B. J. Birch

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by B. J. Birch. 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 B. J. Birch. The network helps show where B. J. Birch may publish in the future.

Co-authorship network of co-authors of B. J. Birch

This figure shows the co-authorship network connecting the top 25 collaborators of B. J. Birch. A scholar is included among the top collaborators of B. J. Birch 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 B. J. Birch. B. J. Birch 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

Birch, B. J. & Enrico Bombieri. (1985). Appendix: On Some Exponential Sums. Annals of Mathematics. 121(2). 345–345. 2 indexed citations

Davenport, H., B. J. Birch, H. Halberstam, & Carol Ann Rogers. (1977). The collected works of Harold Davenport. Medical Entomology and Zoology. 7 indexed citations

Birch, B. J., et al.. (1975). Modular Functions of One Variable IV. Lecture notes in mathematics. 94 indexed citations

Deligne, Pierre, et al.. (1973). Modular functions of one variable : proceedings, International Summer School, University of Antwerp, RUCA, July 17-August 3, 1972. Springer eBooks. 1 indexed citations

Baker, A., B. J. Birch, & Eduard Wirsing. (1973). On a problem of Chowla. Journal of Number Theory. 5(3). 224–236. 40 indexed citations

Atkin, A. O. L. & B. J. Birch. (1971). Computers in number theory : proceedings of the Science Research Council Atlas Symposium no. 2 held at Oxford, from 18-23 August, 1969. Academic Press eBooks. 1 indexed citations

Birch, B. J.. (1970). Small Zeros of Diagonal Forms of Odd Degree in Many Variables. Proceedings of the London Mathematical Society. s3-21(1). 12–18. 8 indexed citations

Birch, B. J.. (1970). LECTURES ON FORMS IN MANY VARIABLES. Bulletin of the London Mathematical Society. 2(3). 358–359. 52 indexed citations

Birch, B. J.. (1967). Multiplicative Functions with Non-Decreasing Normal Order. Journal of the London Mathematical Society. s1-42(1). 149–151. 4 indexed citations

10.

Birch, B. J. & N. M. Stephens. (1966). The parity of the rank of the mordell-weil group. Topology. 5(4). 295–299. 49 indexed citations

11.

Birch, B. J. & H. P. F. Swinnerton-Dyer. (1965). Notes on elliptic curves. II.. Journal für die reine und angewandte Mathematik (Crelles Journal). 1965(218). 79–108. 192 indexed citations

12.

Birch, B. J.. (1962). Forms in many variables. Proceedings of the Royal Society of London A Mathematical and Physical Sciences. 265(1321). 245–263. 105 indexed citations

13.

Birch, B. J. & H. Davenport. (1962). Note on Weyl's inequality. Acta Arithmetica. 7(3). 273–277. 3 indexed citations

14.

Birch, B. J., H. Davenport, & D. J. Lewis. (1962). The addition of norm forms. Mathematika. 9(1). 75–82. 9 indexed citations

15.

Birch, B. J., et al.. (1962). Simultaneous Quadratic Forms. American Journal of Mathematics. 84(1). 110–110. 13 indexed citations

16.

Birch, B. J. & D. J. Lewis. (1959). ρ-Adic Forms. Journal of the Indian Mathematical Society. 23. 11–32. 2 indexed citations

17.

Birch, B. J. & H. Davenport. (1958). Quadratic equations in several variables. Mathematical Proceedings of the Cambridge Philosophical Society. 54(2). 135–138. 14 indexed citations

18.

Birch, B. J. & H. Davenport. (1958). Indefinite quadratic forms in many variables. Mathematika. 5(1). 8–12. 20 indexed citations

19.

Birch, B. J.. (1957). Another transference theorem of the geometry of numbers. Mathematical Proceedings of the Cambridge Philosophical Society. 53(2). 269–272. 1 indexed citations

20.

Birch, B. J. & H. P. F. Swinnerton-Dyer. (1956). On the inhomogeneous minimum of the product of n linear forms. Mathematika. 3(1). 25–39. 17 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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