Kurt Mahler

2.7k total citations
39 papers, 523 citations indexed

About

Kurt Mahler is a scholar working on Geometry and Topology, Applied Mathematics and Mathematical Physics. According to data from OpenAlex, Kurt Mahler has authored 39 papers receiving a total of 523 indexed citations (citations by other indexed papers that have themselves been cited), including 16 papers in Geometry and Topology, 14 papers in Applied Mathematics and 13 papers in Mathematical Physics. Recurrent topics in Kurt Mahler's work include Advanced Differential Equations and Dynamical Systems (7 papers), Mathematical Dynamics and Fractals (7 papers) and advanced mathematical theories (6 papers). Kurt Mahler is often cited by papers focused on Advanced Differential Equations and Dynamical Systems (7 papers), Mathematical Dynamics and Fractals (7 papers) and advanced mathematical theories (6 papers). Kurt Mahler collaborates with scholars based in Australia, United States and United Kingdom. Kurt Mahler's co-authors include D. J. Lewis, Holger Schmid, J. W. S. Cassels, Walter Ledermann, G Szekeres and Gilbert Baumslag and has published in prestigious journals such as Communications on Pure and Applied Mathematics, Lecture notes in mathematics and Bulletin of the American Mathematical Society.

In The Last Decade

Kurt Mahler

39 papers receiving 416 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Kurt Mahler Australia	12	246	210	166	155	136	39	523
Eduard Wirsing Germany	10	178 0.7×	170 0.8×	302 1.8×	70 0.5×	90 0.7×	35	496
Eckford Cohen United States	12	113 0.5×	116 0.6×	237 1.4×	87 0.6×	92 0.7×	74	487
Thomas C. Craven United States	16	145 0.6×	384 1.8×	268 1.6×	142 0.9×	232 1.7×	58	635
Deane Montgomery United States	10	364 1.5×	362 1.7×	132 0.8×	91 0.6×	148 1.1×	22	633
John Loxton Australia	14	145 0.6×	124 0.6×	191 1.2×	115 0.7×	90 0.7×	47	444
John Tyrrell United Kingdom	9	172 0.7×	284 1.4×	173 1.0×	84 0.5×	61 0.4×	40	470
Robert Rumely United States	12	257 1.0×	380 1.8×	243 1.5×	148 1.0×	98 0.7×	28	628
Douglas Hensley United States	11	116 0.5×	139 0.7×	137 0.8×	67 0.4×	131 1.0×	34	372
Paul T. Bateman United States	13	145 0.6×	247 1.2×	429 2.6×	90 0.6×	55 0.4×	41	619
Hans Peter Schlickewei Germany	14	218 0.9×	383 1.8×	272 1.6×	179 1.2×	89 0.7×	44	604

Countries citing papers authored by Kurt Mahler

Since Specialization

Citations

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

Fields of papers citing papers by Kurt Mahler

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Kurt Mahler

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

Mahler, Kurt. (1986). The successive minima in the geometry of numbers and the distinction between algebraic and transcendental numbers. Journal of Number Theory. 22(2). 147–160. 1 indexed citations

Mahler, Kurt. (1983). On a theorem in the geometry of numbers in a space of Laurent series. Journal of Number Theory. 17(3). 403–416. 4 indexed citations

Mahler, Kurt. (1981). On a special nonlinear functional equation. Proceedings of the Royal Society of London A Mathematical and Physical Sciences. 378(1773). 155–178. 2 indexed citations

Mahler, Kurt. (1981). p-adic numbers and their functions. Cambridge University Press eBooks. 70 indexed citations

Mahler, Kurt. (1976). On certain non-archimedean functions analogous to complex analytic functions. Bulletin of the Australian Mathematical Society. 14(1). 23–36. 1 indexed citations

Mahler, Kurt. (1974). On rational approximations of the exponential function at rational points. Bulletin of the Australian Mathematical Society. 10(3). 325–335. 5 indexed citations

Mahler, Kurt. (1974). On the coefficients of transformation polynomials for the modular function. Bulletin of the Australian Mathematical Society. 10(2). 197–218. 10 indexed citations

Mahler, Kurt. (1971). A lecture on the geometry of numbers of convex bodies. Bulletin of the American Mathematical Society. 77(3). 319–325. 2 indexed citations

Mahler, Kurt. (1971). An arithmetic remark on entire periodic functions. Bulletin of the Australian Mathematical Society. 5(2). 191–195. 2 indexed citations

10.

Mahler, Kurt. (1971). An elementary existence theorem for entire functions. Bulletin of the Australian Mathematical Society. 5(3). 415–419. 1 indexed citations

11.

Mahler, Kurt. (1968). Applications of a theorem by A. B. Shidlovski. Proceedings of the Royal Society of London A Mathematical and Physical Sciences. 305(1481). 149–173. 13 indexed citations

12.

Mahler, Kurt. (1963). On two extremum properties of polynomials. Illinois Journal of Mathematics. 7(4). 13 indexed citations

13.

Mahler, Kurt. (1961). On the zeros of the derivative of a polynomial. Proceedings of the Royal Society of London A Mathematical and Physical Sciences. 264(1317). 145–154. 23 indexed citations

14.

Lewis, D. J. & Kurt Mahler. (1961). On the representation of integers by binary forms. Acta Arithmetica. 6(3). 333–363. 56 indexed citations

15.

Mahler, Kurt. (1959). An arithmetic property of groups of linear transformations. Acta Arithmetica. 5(2). 197–203. 2 indexed citations

16.

Schmid, Holger & Kurt Mahler. (1958). On the Chinese Remainder Theorem. Mathematische Nachrichten. 18(1-6). 120–122. 11 indexed citations

17.

Mahler, Kurt. (1955). On Compound Convex Bodies (I). Proceedings of the London Mathematical Society. s3-5(3). 358–379. 17 indexed citations

18.

Mahler, Kurt. (1955). On a problem in Diophantine approximations. Archiv der Mathematik. 6(3). 208–214. 1 indexed citations

19.

Mahler, Kurt. (1953). On the approximation of logarithms of algebraic numbers. Philosophical Transactions of the Royal Society of London Series A Mathematical and Physical Sciences. 245(898). 371–398. 36 indexed citations

20.

Cassels, J. W. S., Walter Ledermann, & Kurt Mahler. (1951). Farey section in k ( i ) and k (ρ). Philosophical Transactions of the Royal Society of London Series A Mathematical and Physical Sciences. 243(873). 585–626. 11 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.

Explore authors with similar magnitude of impact