Frits Beukers

3.0k total citations
65 papers, 1.5k citations indexed

About

Frits Beukers is a scholar working on Geometry and Topology, Algebra and Number Theory and Mathematical Physics. According to data from OpenAlex, Frits Beukers has authored 65 papers receiving a total of 1.5k indexed citations (citations by other indexed papers that have themselves been cited), including 31 papers in Geometry and Topology, 28 papers in Algebra and Number Theory and 22 papers in Mathematical Physics. Recurrent topics in Frits Beukers's work include Advanced Mathematical Identities (15 papers), Analytic Number Theory Research (14 papers) and Algebraic Geometry and Number Theory (13 papers). Frits Beukers is often cited by papers focused on Advanced Mathematical Identities (15 papers), Analytic Number Theory Research (14 papers) and Algebraic Geometry and Number Theory (13 papers). Frits Beukers collaborates with scholars based in Netherlands, Poland and United States. Frits Beukers's co-authors include Gerrit Heckman, Jan Stienstra, Hans Peter Schlickewei, Jan A. Sanders, Jing Ping Wang, C. B. Huijsmans, Richard Cushman, Daniel Bertrand, Chris Smyth and B. de Pagter and has published in prestigious journals such as The Science of The Total Environment, Annals of Mathematics and Inventiones mathematicae.

In The Last Decade

Frits Beukers

61 papers receiving 1.3k citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Frits Beukers Netherlands 20 661 651 476 435 320 65 1.5k
Vladimir Retakh United States 15 919 1.4× 670 1.0× 221 0.5× 378 0.9× 232 0.7× 58 1.4k
Konrad Schmüdgen Germany 16 710 1.1× 792 1.2× 535 1.1× 1.1k 2.5× 530 1.7× 70 2.0k
Stefan Weinzierl Germany 26 461 0.7× 493 0.8× 350 0.7× 317 0.7× 212 0.7× 61 2.0k
Mizan Rahman Canada 12 445 0.7× 1.2k 1.8× 1.3k 2.8× 253 0.6× 246 0.8× 32 2.2k
Albert Nijenhuis United States 20 917 1.4× 796 1.2× 306 0.6× 687 1.6× 171 0.5× 66 1.8k
Dennis Stanton United States 26 577 0.9× 1.2k 1.9× 666 1.4× 393 0.9× 390 1.2× 100 2.3k
Jacques Faraut France 15 461 0.7× 347 0.5× 643 1.4× 654 1.5× 550 1.7× 45 1.8k
É. B. Vinberg Russia 25 1.5k 2.3× 614 0.9× 347 0.7× 1.3k 2.9× 217 0.7× 65 2.1k
V. S. Sunder India 15 565 0.9× 296 0.5× 209 0.4× 432 1.0× 339 1.1× 51 1.1k
P. A. Griffiths United States 8 1.4k 2.1× 357 0.5× 391 0.8× 698 1.6× 366 1.1× 10 1.8k

Countries citing papers authored by Frits Beukers

Since Specialization
Citations

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

Fields of papers citing papers by Frits Beukers

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Frits Beukers

This figure shows the co-authorship network connecting the top 25 collaborators of Frits Beukers. A scholar is included among the top collaborators of Frits Beukers 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 Frits Beukers. Frits Beukers 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.
Berthé, Valérie, Frits Beukers, Alex Clark, Robbert Fokkink, & Cor Kraaikamp. (2016). Preface to the special issue on automatic sequences, number theory, and aperiodic order. Indagationes Mathematicae. 28(1). 1–2. 1 indexed citations
2.
Beukers, Frits. (2014). Geodesic continued fractions and LLL. Indagationes Mathematicae. 25(4). 632–645. 1 indexed citations
3.
Beukers, Frits, Florian Luca, & Frans J. Oort. (2012). Power Values of Divisor Sums. American Mathematical Monthly. 119(5). 373–380.
4.
Beukers, Frits & R. Tijdeman. (2012). One-sided power sum and cosine inequalities. Indagationes Mathematicae. 24(2). 373–381. 1 indexed citations
5.
Beukers, Frits & C. L. Stewart. (2010). Addendum to “Neighboring powers” [J. Number Theory 130 (3) (2010) 660–679]. Journal of Number Theory. 130(7). 1571–1571. 3 indexed citations
6.
Beukers, Frits & C. L. Stewart. (2009). Neighboring powers. Journal of Number Theory. 130(3). 660–679. 4 indexed citations
7.
Beukers, Frits, et al.. (2007). Rijk aan betekenis - Visie op vernieuwd Wiskundeonderwijs.. The Science of The Total Environment. 407(6). 2102–14. 3 indexed citations
8.
Beukers, Frits, Jan A. Sanders, & Jing Ping Wang. (2001). On Integrability of Systems of Evolution Equations. Journal of Differential Equations. 172(2). 396–408. 16 indexed citations
9.
Beukers, Frits & Richard Cushman. (1998). Zeeman's Monotonicity Conjecture. Journal of Differential Equations. 143(1). 191–200. 24 indexed citations
10.
Beukers, Frits, Jan A. Sanders, & Jing Ping Wang. (1998). One Symmetry Does Not Imply Integrability. Journal of Differential Equations. 146(1). 251–260. 34 indexed citations
11.
Beukers, Frits. (1997). On a sequence of polynomials. Journal of Pure and Applied Algebra. 117-118. 97–103. 19 indexed citations
12.
Beukers, Frits. (1995). Ternary Form Equations. Journal of Number Theory. 54(1). 113–133. 8 indexed citations
13.
Beukers, Frits. (1991). The zero-multiplicity of ternary recurrences. Compositio Mathematica. 77(2). 165–177. 17 indexed citations
14.
Beukers, Frits, et al.. (1991). Dyson's lemma without tears. Indagationes Mathematicae. 2(1). 1–8. 2 indexed citations
15.
Beukers, Frits, et al.. (1988). On oranges and integral points on certain plane cubic curves. University of Groningen research database (University of Groningen / Centre for Information Technology). 2 indexed citations
16.
Beukers, Frits. (1987). Another congruence for the Apéry numbers. Journal of Number Theory. 25(2). 201–210. 64 indexed citations
17.
Beukers, Frits. (1985). Some congruences for the Apery numbers. Journal of Number Theory. 21(2). 141–155. 37 indexed citations
18.
Beukers, Frits & R. Tijdeman. (1984). On the multiplicities of binary complex recurrences. Compositio Mathematica. 51(2). 193–213. 11 indexed citations
19.
Beukers, Frits. (1980). The multiplicity of binary recurrences. Compositio Mathematica. 40(2). 251–267. 12 indexed citations
20.
Beukers, Frits. (1975). The lattice-points of n-dimensional tetrahedra. Indagationes Mathematicae (Proceedings). 78(5). 365–372. 6 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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