Joseph Lehner

2.6k total citations · 1 hit paper
48 papers, 1.3k citations indexed

About

Joseph Lehner is a scholar working on Mathematical Physics, Geometry and Topology and Algebra and Number Theory. According to data from OpenAlex, Joseph Lehner has authored 48 papers receiving a total of 1.3k indexed citations (citations by other indexed papers that have themselves been cited), including 23 papers in Mathematical Physics, 22 papers in Geometry and Topology and 12 papers in Algebra and Number Theory. Recurrent topics in Joseph Lehner's work include Advanced Algebra and Geometry (11 papers), Algebraic Geometry and Number Theory (8 papers) and Analytic Number Theory Research (7 papers). Joseph Lehner is often cited by papers focused on Advanced Algebra and Geometry (11 papers), Algebraic Geometry and Number Theory (8 papers) and Analytic Number Theory Research (7 papers). Joseph Lehner collaborates with scholars based in United States and Lebanon. Joseph Lehner's co-authors include A. O. L. Atkin, G. Milton Wing, M. F. Newman, Albert Marden, Michael E. Newman, Marvin I. Knopp, Alan F. Beardon, Morris Newman and I. I. Kolodner and has published in prestigious journals such as Mathematics of Computation, Annals of Mathematics and Communications on Pure and Applied Mathematics.

In The Last Decade

Joseph Lehner

44 papers receiving 1.0k citations

Hit Papers

Hecke operators on ?0(m) 1970 2026 1988 2007 1970 100 200 300
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.

  1. Hecke operators on ?0(m)
    1970 397 citations A. O. L. Atkin, Joseph Lehner Mathematische Annalen profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Joseph Lehner United States 14 822 652 481 245 219 48 1.3k
Carl Ludwig Siegel Germany 14 440 0.5× 500 0.8× 320 0.7× 195 0.8× 96 0.4× 35 1.1k
Irwin Kra United States 20 660 0.8× 1.1k 1.8× 203 0.4× 658 2.7× 159 0.7× 62 1.7k
M. S. Narasimhan India 19 1.4k 1.7× 1.6k 2.4× 201 0.4× 289 1.2× 52 0.2× 56 2.0k
Roger Godement France 11 748 0.9× 583 0.9× 413 0.9× 209 0.9× 168 0.8× 28 1.1k
A. L. Onishchik Russia 9 640 0.8× 726 1.1× 360 0.7× 230 0.9× 134 0.6× 22 1.0k
Hershel M. Farkas Israel 11 384 0.5× 611 0.9× 224 0.5× 317 1.3× 147 0.7× 38 1.0k
Vitaly Bergelson United States 21 714 0.9× 925 1.4× 327 0.7× 97 0.4× 991 4.5× 125 1.5k
Hugo Rossi United States 16 770 0.9× 1.0k 1.6× 360 0.7× 996 4.1× 45 0.2× 37 1.9k
Анатолий Моисеевич Вершик Russia 17 735 0.9× 432 0.7× 161 0.3× 183 0.7× 131 0.6× 94 1.1k
Eduard Looijenga Netherlands 21 955 1.2× 1.4k 2.2× 323 0.7× 204 0.8× 175 0.8× 57 1.7k

Countries citing papers authored by Joseph Lehner

Since Specialization
Citations

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

Fields of papers citing papers by Joseph Lehner

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Joseph Lehner

This figure shows the co-authorship network connecting the top 25 collaborators of Joseph Lehner. A scholar is included among the top collaborators of Joseph Lehner 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 Joseph Lehner. Joseph Lehner is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Lehner, Joseph. (2018). The Metallurgical Cycle and Human Responses to Material Fatigue.
2.
Lehner, Joseph. (2015). Cooperation, the Craft Economy, and Metal Technology during the Bronze and Iron Ages in Central Anatolia. eScholarship (California Digital Library). 2 indexed citations
3.
Lehner, Joseph. (1990). The local Hurwitz constant and Diophantine approximation on Hecke groups. Mathematics of Computation. 55(192). 765–781. 6 indexed citations
4.
Beardon, Alan F., et al.. (1986). Closed geodesics on a Riemann surface with application to the Markov spectrum. Transactions of the American Mathematical Society. 295(2). 635–647. 14 indexed citations
5.
Lehner, Joseph, et al.. (1985). Computing self-intersections of closed geodesics on finite-sheeted covers of the modular surface. Mathematics of Computation. 44(169). 233–240. 1 indexed citations
6.
Lehner, Joseph. (1985). Diophantine approximation on Hecke groups. Glasgow Mathematical Journal. 27. 117–127. 13 indexed citations
7.
Lehner, Joseph, et al.. (1984). Simple closed geodesics on 𝐻⁺/Γ(3) arise from the Markov spectrum. Bulletin of the American Mathematical Society. 11(2). 359–362. 13 indexed citations
8.
Lehner, Joseph. (1980). On the non-vanishing of Poincaré series. Proceedings of the Edinburgh Mathematical Society. 23(2). 225–228. 9 indexed citations
9.
Lehner, Joseph. (1973). Cohomology of vector-valued automorphic forms. Mathematische Annalen. 204(2). 155–176. 2 indexed citations
10.
Atkin, A. O. L. & Joseph Lehner. (1970). Hecke operators on ?0(m). Mathematische Annalen. 185(2). 134–160. 397 indexed citations breakdown →
11.
Lehner, Joseph. (1969). The Picard Theorems. American Mathematical Monthly. 76(9). 1005–1012. 2 indexed citations
12.
Lehner, Joseph & Michael E. Newman. (1966). Real two-dimensional representations of the free product of two finite cyclic groups. Mathematical Proceedings of the Cambridge Philosophical Society. 62(2). 135–141. 13 indexed citations
13.
Lehner, Joseph. (1964). Discontinuous Groups and Automorphic Functions. Mathematical surveys and monographs. 345 indexed citations
14.
Kolodner, I. I., Joseph Lehner, & G. Milton Wing. (1964). On First Order Ordinary Differential Equations Arising in Diffusion Problems. Journal of the Society for Industrial and Applied Mathematics. 12(2). 249–269. 3 indexed citations
15.
Lehner, Joseph. (1963). On the generation of discontinuous groups. Pacific Journal of Mathematics. 13(1). 169–170. 26 indexed citations
16.
Lehner, Joseph. (1962). Two theorems on automorphic functions. Illinois Journal of Mathematics. 6(1). 3 indexed citations
17.
Lehner, Joseph. (1960). The Fourier coefficients of automorphic forms of horocyclic groups. III.. The Michigan Mathematical Journal. 7(1). 2 indexed citations
18.
Lehner, Joseph. (1956). An unsymmetric operator arising in the theory of neutron diffusion. Communications on Pure and Applied Mathematics. 9(3). 487–497. 11 indexed citations
19.
Lehner, Joseph & G. Milton Wing. (1955). On the spectrum of an unsymmetric operator arising in the transport theory of neutrons. Communications on Pure and Applied Mathematics. 8(2). 217–234. 117 indexed citations
20.
Lehner, Joseph. (1954). Note on the Schwarz triangle functions. Pacific Journal of Mathematics. 4(2). 243–249. 9 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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