Georges Rhin

560 total citations
33 papers, 283 citations indexed

About

Georges Rhin is a scholar working on Algebra and Number Theory, Applied Mathematics and Computational Theory and Mathematics. According to data from OpenAlex, Georges Rhin has authored 33 papers receiving a total of 283 indexed citations (citations by other indexed papers that have themselves been cited), including 14 papers in Algebra and Number Theory, 13 papers in Applied Mathematics and 10 papers in Computational Theory and Mathematics. Recurrent topics in Georges Rhin's work include Analytic Number Theory Research (11 papers), Mathematical functions and polynomials (9 papers) and Polynomial and algebraic computation (8 papers). Georges Rhin is often cited by papers focused on Analytic Number Theory Research (11 papers), Mathematical functions and polynomials (9 papers) and Polynomial and algebraic computation (8 papers). Georges Rhin collaborates with scholars based in France, Italy and United Kingdom. Georges Rhin's co-authors include Carlo Viola, Jean Coquet, Chris Smyth, Michael J. Mossinghoff, A. Maul, Raymond Mortini, M. Langevin and Armand Maul and has published in prestigious journals such as Mathematics of Computation, Annales de l’institut Fourier and Journal of Number Theory.

In The Last Decade

Georges Rhin

32 papers receiving 221 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Georges Rhin France	11	172	86	86	73	72	33	283
Edward Dobrowolski Canada	5	99 0.6×	156 1.8×	53 0.6×	55 0.8×	81 1.1×	14	238
Keijo Väänänen Finland	10	133 0.8×	52 0.6×	127 1.5×	41 0.6×	41 0.6×	50	251
Peter Bundschuh Germany	12	158 0.9×	82 1.0×	133 1.5×	80 1.1×	95 1.3×	65	336
A. G. Earnest United States	10	125 0.7×	137 1.6×	58 0.7×	37 0.5×	127 1.8×	33	254
Hubert Delange France	11	200 1.2×	102 1.2×	105 1.2×	46 0.6×	128 1.8×	43	354
John Greene United States	8	153 0.9×	117 1.4×	53 0.6×	70 1.0×	71 1.0×	19	240
Greg Martin Canada	10	177 1.0×	111 1.3×	21 0.2×	42 0.6×	67 0.9×	42	259
Kumiko Nishioka Japan	10	97 0.6×	71 0.8×	85 1.0×	100 1.4×	110 1.5×	28	269
Grigori Kolesnik United States	9	378 2.2×	163 1.9×	87 1.0×	41 0.6×	141 2.0×	21	468
W. Dale Brownawell United States	9	174 1.0×	315 3.7×	106 1.2×	207 2.8×	90 1.3×	28	446

Countries citing papers authored by Georges Rhin

Since Specialization

Citations

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

Fields of papers citing papers by Georges Rhin

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Georges Rhin

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

Rhin, Georges & Carlo Viola. (2018). Linear independence of 1, Li1 and Li2. Project Euclid (Cornell University). 8(1). 81–96.

Rhin, Georges, et al.. (2015). A Salem number with degree 34 and trace −3. Journal of Number Theory. 150. 21–25. 5 indexed citations

Maul, A., et al.. (2014). Finding Degree-16 Monic Irreducible Integer Polynomials of Minimal Trace by Optimization Methods. Experimental Mathematics. 23(1). 1–5. 6 indexed citations

Maul, Armand, et al.. (2013). Integer Linear Programming applied to determining monic hyperbolic irreducible polynomials with integer coefficients and span less than 4. Journal de Théorie des Nombres de Bordeaux. 25(1). 71–78. 2 indexed citations

Rhin, Georges & Carlo Viola. (2007). Multiple integrals and linear forms in zeta-values. Functiones et Approximatio Commentarii Mathematici. 37(2). 1 indexed citations

Rhin, Georges, et al.. (2006). On the smallest value of the maximal modulus of an algebraic integer. Mathematics of Computation. 76(258). 1025–1038. 7 indexed citations

Rhin, Georges, et al.. (2005). Algebraic integers whose conjugates all lie in an ellipse. Mathematics of Computation. 74(252). 2007–2016. 3 indexed citations

Rhin, Georges, et al.. (2004). On the absolute Mahler measure of polynomials having all zeros in a sector. II. Mathematics of Computation. 74(249). 383–389. 8 indexed citations

Rhin, Georges, et al.. (2003). New Methods Providing High Degree Polynomials with Small Mahler Measure. Experimental Mathematics. 12(4). 457–461. 5 indexed citations

10.

Rhin, Georges, et al.. (1997). The integer transfinite diameter of intervals and totally real algebraic integers. Journal de Théorie des Nombres de Bordeaux. 9(1). 137–168. 16 indexed citations

11.

Rhin, Georges, et al.. (1996). Algorithmes des fractions continues et de Jacobi-Perron. Bulletin of the Australian Mathematical Society. 53(2). 341–350. 2 indexed citations

12.

Rhin, Georges, et al.. (1995). On the Absolute Mahler Measure of Polynomials Having All Zeros in a Sector. Mathematics of Computation. 64(209). 295–295. 12 indexed citations

13.

Rhin, Georges & Carlo Viola. (1993). On the irrationality measure of ζ ( 2 ) . Annales de l’institut Fourier. 43(1). 85–109. 5 indexed citations

14.

Rhin, Georges, et al.. (1991). Two families of periodic Jacobi Algorithms with period lengths going to infinity. Journal of Number Theory. 37(2). 173–180. 12 indexed citations

15.

Langevin, M., et al.. (1988). Diamètres transfinis et problème de Favard. Annales de l’institut Fourier. 38(1). 1–16. 2 indexed citations

16.

Rhin, Georges, et al.. (1986). Approximants de Padé simultanés de logarithmes. Journal of Number Theory. 24(3). 284–297. 10 indexed citations

17.

Coquet, Jean, et al.. (1983). Fourier-Bohr spectrum of sequences related to continued fractions. Journal of Number Theory. 17(3). 327–336. 5 indexed citations

18.

Rhin, Georges, et al.. (1982). Meilleures approximations d'une forme linéaire cubique. Acta Arithmetica. 40(2). 197–208. 2 indexed citations

19.

Coquet, Jean, et al.. (1981). Représentations des entiers naturels et indépendance statistique. II. Annales de l’institut Fourier. 31(1). 1–15. 13 indexed citations

20.

Rhin, Georges, et al.. (1979). Approximations simultanées de deux nombres réels. French digital mathematics library (Numdam). 20(1). 1–13. 1 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