Jeffrey C. Lagarias

17.7k total citations · 1 hit paper
192 papers, 10.8k citations indexed

About

Jeffrey C. Lagarias is a scholar working on Mathematical Physics, Computational Theory and Mathematics and Geometry and Topology. According to data from OpenAlex, Jeffrey C. Lagarias has authored 192 papers receiving a total of 10.8k indexed citations (citations by other indexed papers that have themselves been cited), including 66 papers in Mathematical Physics, 63 papers in Computational Theory and Mathematics and 48 papers in Geometry and Topology. Recurrent topics in Jeffrey C. Lagarias's work include Mathematical Dynamics and Fractals (49 papers), Analytic Number Theory Research (32 papers) and Benford’s Law and Fraud Detection (19 papers). Jeffrey C. Lagarias is often cited by papers focused on Mathematical Dynamics and Fractals (49 papers), Analytic Number Theory Research (32 papers) and Benford’s Law and Fraud Detection (19 papers). Jeffrey C. Lagarias collaborates with scholars based in United States, Germany and Canada. Jeffrey C. Lagarias's co-authors include James A. Reeds, Margaret H. Wright, Paul E. Wright, Yang Wang, Ingrid Daubechies, Andrew Odlyzko, Ingrid Daubechies, David Bayer, John H. Conway and Colin L. Mallows and has published in prestigious journals such as Materials Science and Engineering A, Mathematics of Computation and Communications in Mathematical Physics.

In The Last Decade

Jeffrey C. Lagarias

183 papers receiving 9.8k citations

Hit Papers

Convergence Properties of... 1998 2026 2007 2016 1998 1000 2.0k 3.0k 4.0k 5.0k

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Jeffrey C. Lagarias United States 39 2.2k 1.6k 1.3k 1.2k 1.2k 192 10.8k
Alan Edelman United States 34 1.3k 0.6× 714 0.4× 1.4k 1.1× 867 0.7× 1.5k 1.3× 122 9.7k
Ulf Grenander United States 44 1.2k 0.6× 980 0.6× 2.0k 1.5× 2.9k 2.5× 576 0.5× 136 11.3k
Jacob T. Schwartz United States 34 3.7k 1.7× 912 0.6× 2.0k 1.5× 2.3k 2.0× 455 0.4× 96 10.9k
А. Н. Тихонов Russia 30 1.2k 0.5× 2.4k 1.5× 928 0.7× 1.6k 1.4× 1.1k 0.9× 167 13.6k
Lloyd N. Trefethen United Kingdom 54 3.9k 1.8× 1.4k 0.9× 723 0.6× 565 0.5× 2.1k 1.8× 175 17.4k
Peter Lancaster Canada 36 3.8k 1.7× 837 0.5× 501 0.4× 394 0.3× 955 0.8× 184 10.3k
David Hilbert United States 23 1.3k 0.6× 1.4k 0.9× 339 0.3× 397 0.3× 494 0.4× 72 8.2k
G. W. Stewart United States 45 4.8k 2.2× 487 0.3× 1.3k 1.0× 850 0.7× 1.4k 1.2× 152 11.5k
D. B. Owen United States 29 1.0k 0.5× 1.1k 0.7× 1.4k 1.0× 511 0.4× 3.9k 3.3× 112 18.6k
Gilbert Strang United States 43 3.0k 1.4× 861 0.5× 960 0.7× 3.8k 3.3× 2.1k 1.8× 185 18.6k

Countries citing papers authored by Jeffrey C. Lagarias

Since Specialization
Citations

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

Fields of papers citing papers by Jeffrey C. Lagarias

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Jeffrey C. Lagarias. 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 Jeffrey C. Lagarias. The network helps show where Jeffrey C. Lagarias may publish in the future.

Co-authorship network of co-authors of Jeffrey C. Lagarias

This figure shows the co-authorship network connecting the top 25 collaborators of Jeffrey C. Lagarias. A scholar is included among the top collaborators of Jeffrey C. Lagarias 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 Jeffrey C. Lagarias. Jeffrey C. Lagarias 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.
Lagarias, Jeffrey C.. (2023). Characterizing the supernorm partition statistic. The Ramanujan Journal. 63(1). 195–207. 1 indexed citations
2.
Lagarias, Jeffrey C., et al.. (2019). Moser’s shadow problem. 64(3). 477–496. 2 indexed citations
3.
Lagarias, Jeffrey C., et al.. (2014). $p$-adic path set fractals and arithmetic. arXiv (Cornell University). 1(1). 45–81. 2 indexed citations
4.
Lagarias, Jeffrey C.. (2012). The Takagi function and its properties (Functions in Number Theory and Their Probabilistic Aspects). Kyoto University Research Information Repository (Kyoto University). 34(34). 153–189. 6 indexed citations
5.
Lagarias, Jeffrey C., et al.. (2012). p-adic path set fractals. arXiv (Cornell University). 1 indexed citations
6.
Lagarias, Jeffrey C., et al.. (2011). The Kepler conjecture : the Hales-Ferguson proof by Thomas Hales, Samuel Ferguson. Springer eBooks. 3 indexed citations
7.
Lagarias, Jeffrey C. & K. Soundararajan. (2009). Smooth solutions to the equation A+B=C. arXiv (Cornell University). 2 indexed citations
8.
Lagarias, Jeffrey C., et al.. (2006). The Riemann hypothesis for certain integrals of Eisenstein series. Journal of Number Theory. 118(1). 98–122. 17 indexed citations
9.
Lagarias, Jeffrey C.. (2003). The 3x+1 problem: An annotated bibliography. arXiv (Cornell University). 33 indexed citations
10.
Lagarias, Jeffrey C., et al.. (2002). Counting dyadic equipartitions of the unit square. Discrete Mathematics. 257(2-3). 481–499. 3 indexed citations
11.
Applegate, David & Jeffrey C. Lagarias. (2002). Lower bounds for the total stopping time of 3𝑥+1 iterates. Mathematics of Computation. 72(242). 1035–1049. 7 indexed citations
12.
Lagarias, Jeffrey C. & Yang Wang. (1999). Haar Bases for L 2 (R n ) and Algebraic Number Theory. Journal of Number Theory. 76(2). 330. 18 indexed citations
13.
Seung, H. Sebastian, Tom Richardson, Jeffrey C. Lagarias, & J. J. Hopfield. (1997). Minimax and Hamiltonian Dynamics of Excitatory-Inhibitory Networks. neural information processing systems. 10. 329–335. 13 indexed citations
14.
Flatto, Leopold & Jeffrey C. Lagarias. (1996). The lap-counting function for linear mod one transformations I: explicit formulas and renormalizability. Ergodic Theory and Dynamical Systems. 16(3). 451–491. 13 indexed citations
15.
Applegate, David & Jeffrey C. Lagarias. (1995). Density bounds for the 3𝑥+1 problem. I. Tree-search method. Mathematics of Computation. 64(209). 411–426. 4 indexed citations
16.
Applegate, David & Jeffrey C. Lagarias. (1995). The Distribution of 3x+1 Trees. Experimental Mathematics. 4(3). 193–209. 4 indexed citations
17.
Lagarias, Jeffrey C. & Peter W. Shor. (1992). Keller’s cube-tiling conjecture is false in high dimensions. Bulletin of the American Mathematical Society. 27(2). 279–283. 64 indexed citations
18.
Lagarias, Jeffrey C. & Günter M. Ziegler. (1991). Bounds for Lattice Polytopes Containing a Fixed Number of Interior Points in a Sublattice. Canadian Journal of Mathematics. 43(5). 1022–1035. 64 indexed citations
19.
Lagarias, Jeffrey C., Andrew Odlyzko, & Don Zagier. (1986). On the Capacity of Disjointly Shared Networks.. Computer Networks. 10. 275–285. 3 indexed citations
20.
Lagarias, Jeffrey C.. (1985). The 3 x + 1 Problem and its Generalizations. American Mathematical Monthly. 92(1). 3–23. 209 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

Rankless by CCL
2026