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Author ID: rhin.georges Recent zbMATH articles by "Rhin, Georges"
Published as: Rhin, Georges; Rhin, G.
Documents Indexed: 60 Publications since 1969
Co-Authors: 20 Co-Authors with 42 Joint Publications
312 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

41 Publications have been cited 260 times in 189 Documents Cited by Year
On a permutation group related to \(\zeta (2)\). Zbl 0864.11037
Rhin, Georges; Viola, Carlo
32
1996
The group structure for \(\zeta(3)\). Zbl 1004.11042
Rhin, Georges; Viola, Carlo
25
2001
Répartition modulo 1 dans un corps de séries formelles sur un corps fini. Zbl 0252.10036
Rhin, Georges
16
1972
Minimal Mahler measures. Zbl 1194.11100
Mossinghoff, Michael J.; Rhin, Georges; Wu, Qiang
16
2008
The integer transfinite diameter of intervals and totally real algebraic integers. Zbl 0892.11033
Flammang, V.; Rhin, G.; Smyth, C. J.
14
1997
Integer transfinite diameter and polynomials with small Mahler measure. Zbl 1155.11352
Flammang, Valérie; Rhin, Georges; Sac-Épée, Jean-Marc
13
2006
On the absolute Mahler measure of polynomials having all zeros in a sector. Zbl 0820.11064
Rhin, Georges; Smyth, Christopher
11
1995
Small Salem numbers. Zbl 0935.11038
Flammang, V.; Grandcolas, M.; Rhin, G.
11
1999
Padé approximants and effective measures of irrationality. (Approximants de Padé et mesures effectives d’irrationalité.) Zbl 0632.10034
Rhin, Georges
10
1987
Sur la répartition modulo 1 des suites \(f(p)\). Zbl 0264.10026
Rhin, Georges
10
1973
Représentations des entiers naturels et indépendance statistique. II. Zbl 0437.10026
Coquet, Jean; Rhin, Georges; Toffin, Philippe
10
1981
Approximants de Padé simultanés de logarithmes. (Simultaneous Padé approximants of logarithms). Zbl 0596.10033
Rhin, Georges; Toffin, Philippe
9
1986
Two families of periodic Jacobi algorithms with period lengths going to infinity. Zbl 0723.11032
Levesque, C.; Rhin, G.
8
1991
On the absolute Mahler measure of polynomials having all zeros in a sector. II. Zbl 1084.11057
Rhin, Georges; Wu, Qiang
8
2005
On the smallest value of the maximal modulus of an algebraic integer. Zbl 1126.11015
Rhin, Georges; Wu, Qiang
6
2007
Sur la majoration de formes linéaires à coefficients algébriques réels et p-adiques. Demonstration d’une conjecture de K. Mahler. Zbl 0339.10031
Dubois, Eugene; Rhin, Georges
5
1976
On the absolute Mahler measure of polynomials having all zeros in a sector. III. Zbl 1325.11108
Flammang, V.; Rhin, G.
5
2015
Finding degree-16 monic irreducible integer polynomials of minimal trace by optimization methods. Zbl 1291.90147
El Otmani, S.; Maul, A.; Rhin, G.; Sac-Épée, J.-M.
4
2014
The permutation group method for the dilogarithm. Zbl 1170.11316
Viola, Carlo; Rhin, Georges
4
2005
On the irrationality measure of \(\zeta (2)\). Zbl 0776.11036
Rhin, G.; Viola, C.
4
1993
Diamètres transfinis et problème de Favard. (Transfinite diameters and the Favard problem). Zbl 0634.12003
Langevin, M.; Reyssat, E.; Rhin, G.
3
1988
A salem number with degree 34 and trace -3. Zbl 1308.90110
El Otmani, S.; Rhin, G.; Sac-Épée, J.-M.
3
2015
The totally real algebraic integers with diameter less than 4. Zbl 1261.11028
Flammang, Valérie; Rhin, Georges; Wu, Qiang
3
2011
Periodic Jacobi-Perron expansions associated with a unit. Zbl 1270.11068
Adam, Brigitte; Rhin, Georges
3
2011
Continued fraction and Jacobi-Perron algorithms. (Algorithmes des fractions continues et de Jacobi-Perron.) Zbl 0858.11069
Adam, Brigitte; Rhin, Georges
2
1996
On the Mahler measure of the composition of two polynomials. Zbl 0868.11050
Rhin, G.; Smyth, C. J.
2
1997
Fourier-Bohr spectrum of sequences related to continued fractions. Zbl 0521.10044
Coquet, Jean; Rhin, Georges; Toffin, Philippe
2
1983
Approximations rationnelles simultanees de nombres algébriques réels et de nombres algébriques p-adiques. Zbl 0305.10031
Dubois, Eugene; Rhin, Georges
2
1975
Répartition modulo 1 de \(f(p_n)\) quand \(f\) est une série entière. Zbl 0305.10046
Rhin, G.
2
1975
New methods providing high degree polynomials with small Mahler measure. Zbl 1075.11065
Rhin, G.; Sac-Épée, J.-M.
2
2003
Algebraic integers whose conjugates all lie in an ellipse. Zbl 1075.11063
Flammang, Valérie; Rhin, Georges
2
2005
Multiple integrals and linear forms in zeta-values. Zbl 1193.11073
Rhin, Georges; Viola, Carlo
2
2007
Finding new small degree polynomials with small Mahler measure by genetic algorithms. Zbl 1434.11213
El Otmani, S.; Maul, A.; Rhin, G.; Sac-Épée, J.-M.
2
2017
Linear independence of 1, \(\operatorname{Li}_1\) and \(\operatorname{Li}_2\). Zbl 1450.11074
Rhin, Georges; Viola, Carlo
2
2019
Sur l’approximation diophantienne simultanee de deux logarithmes de nombres rationnels. Zbl 0518.10039
Rhin, Georges
1
1983
A few classes of periodic continued fractions. Zbl 0615.10014
Levesque, Claude; Rhin, Georges
1
1986
Sums of holomorphic selfmaps of the unit disk. II. Zbl 1247.30001
Mortini, Raymond; Rhin, Georges
1
2011
Équirepartition modulo 1 des suites lacunaires. Zbl 0288.10016
Rhin, Georges
1
1973
Integer linear programming applied to determining monic hyperbolic irreducible polynomials with integer coefficients and span less than 4. Zbl 1271.90053
El Otmani, Souad; Maul, Armand; Rhin, Georges; Sac-Épée, Jean-Marc
1
2013
Integer transfinite diameter and computation of polynomials. Zbl 1335.11089
Rhin, Georges; Wu, Qiang
1
2008
Finding new limit points of Mahler’s measure by genetic algorithms. Zbl 1454.11196
Otmani, S. El; Rhin, G.; Sac-Épée, Jean-Marc
1
2019
Linear independence of 1, \(\operatorname{Li}_1\) and \(\operatorname{Li}_2\). Zbl 1450.11074
Rhin, Georges; Viola, Carlo
2
2019
Finding new limit points of Mahler’s measure by genetic algorithms. Zbl 1454.11196
Otmani, S. El; Rhin, G.; Sac-Épée, Jean-Marc
1
2019
Finding new small degree polynomials with small Mahler measure by genetic algorithms. Zbl 1434.11213
El Otmani, S.; Maul, A.; Rhin, G.; Sac-Épée, J.-M.
2
2017
On the absolute Mahler measure of polynomials having all zeros in a sector. III. Zbl 1325.11108
Flammang, V.; Rhin, G.
5
2015
A salem number with degree 34 and trace -3. Zbl 1308.90110
El Otmani, S.; Rhin, G.; Sac-Épée, J.-M.
3
2015
Finding degree-16 monic irreducible integer polynomials of minimal trace by optimization methods. Zbl 1291.90147
El Otmani, S.; Maul, A.; Rhin, G.; Sac-Épée, J.-M.
4
2014
Integer linear programming applied to determining monic hyperbolic irreducible polynomials with integer coefficients and span less than 4. Zbl 1271.90053
El Otmani, Souad; Maul, Armand; Rhin, Georges; Sac-Épée, Jean-Marc
1
2013
The totally real algebraic integers with diameter less than 4. Zbl 1261.11028
Flammang, Valérie; Rhin, Georges; Wu, Qiang
3
2011
Periodic Jacobi-Perron expansions associated with a unit. Zbl 1270.11068
Adam, Brigitte; Rhin, Georges
3
2011
Sums of holomorphic selfmaps of the unit disk. II. Zbl 1247.30001
Mortini, Raymond; Rhin, Georges
1
2011
Minimal Mahler measures. Zbl 1194.11100
Mossinghoff, Michael J.; Rhin, Georges; Wu, Qiang
16
2008
Integer transfinite diameter and computation of polynomials. Zbl 1335.11089
Rhin, Georges; Wu, Qiang
1
2008
On the smallest value of the maximal modulus of an algebraic integer. Zbl 1126.11015
Rhin, Georges; Wu, Qiang
6
2007
Multiple integrals and linear forms in zeta-values. Zbl 1193.11073
Rhin, Georges; Viola, Carlo
2
2007
Integer transfinite diameter and polynomials with small Mahler measure. Zbl 1155.11352
Flammang, Valérie; Rhin, Georges; Sac-Épée, Jean-Marc
13
2006
On the absolute Mahler measure of polynomials having all zeros in a sector. II. Zbl 1084.11057
Rhin, Georges; Wu, Qiang
8
2005
The permutation group method for the dilogarithm. Zbl 1170.11316
Viola, Carlo; Rhin, Georges
4
2005
Algebraic integers whose conjugates all lie in an ellipse. Zbl 1075.11063
Flammang, Valérie; Rhin, Georges
2
2005
New methods providing high degree polynomials with small Mahler measure. Zbl 1075.11065
Rhin, G.; Sac-Épée, J.-M.
2
2003
The group structure for \(\zeta(3)\). Zbl 1004.11042
Rhin, Georges; Viola, Carlo
25
2001
Small Salem numbers. Zbl 0935.11038
Flammang, V.; Grandcolas, M.; Rhin, G.
11
1999
The integer transfinite diameter of intervals and totally real algebraic integers. Zbl 0892.11033
Flammang, V.; Rhin, G.; Smyth, C. J.
14
1997
On the Mahler measure of the composition of two polynomials. Zbl 0868.11050
Rhin, G.; Smyth, C. J.
2
1997
On a permutation group related to \(\zeta (2)\). Zbl 0864.11037
Rhin, Georges; Viola, Carlo
32
1996
Continued fraction and Jacobi-Perron algorithms. (Algorithmes des fractions continues et de Jacobi-Perron.) Zbl 0858.11069
Adam, Brigitte; Rhin, Georges
2
1996
On the absolute Mahler measure of polynomials having all zeros in a sector. Zbl 0820.11064
Rhin, Georges; Smyth, Christopher
11
1995
On the irrationality measure of \(\zeta (2)\). Zbl 0776.11036
Rhin, G.; Viola, C.
4
1993
Two families of periodic Jacobi algorithms with period lengths going to infinity. Zbl 0723.11032
Levesque, C.; Rhin, G.
8
1991
Diamètres transfinis et problème de Favard. (Transfinite diameters and the Favard problem). Zbl 0634.12003
Langevin, M.; Reyssat, E.; Rhin, G.
3
1988
Padé approximants and effective measures of irrationality. (Approximants de Padé et mesures effectives d’irrationalité.) Zbl 0632.10034
Rhin, Georges
10
1987
Approximants de Padé simultanés de logarithmes. (Simultaneous Padé approximants of logarithms). Zbl 0596.10033
Rhin, Georges; Toffin, Philippe
9
1986
A few classes of periodic continued fractions. Zbl 0615.10014
Levesque, Claude; Rhin, Georges
1
1986
Fourier-Bohr spectrum of sequences related to continued fractions. Zbl 0521.10044
Coquet, Jean; Rhin, Georges; Toffin, Philippe
2
1983
Sur l’approximation diophantienne simultanee de deux logarithmes de nombres rationnels. Zbl 0518.10039
Rhin, Georges
1
1983
Représentations des entiers naturels et indépendance statistique. II. Zbl 0437.10026
Coquet, Jean; Rhin, Georges; Toffin, Philippe
10
1981
Sur la majoration de formes linéaires à coefficients algébriques réels et p-adiques. Demonstration d’une conjecture de K. Mahler. Zbl 0339.10031
Dubois, Eugene; Rhin, Georges
5
1976
Approximations rationnelles simultanees de nombres algébriques réels et de nombres algébriques p-adiques. Zbl 0305.10031
Dubois, Eugene; Rhin, Georges
2
1975
Répartition modulo 1 de \(f(p_n)\) quand \(f\) est une série entière. Zbl 0305.10046
Rhin, G.
2
1975
Sur la répartition modulo 1 des suites \(f(p)\). Zbl 0264.10026
Rhin, Georges
10
1973
Équirepartition modulo 1 des suites lacunaires. Zbl 0288.10016
Rhin, Georges
1
1973
Répartition modulo 1 dans un corps de séries formelles sur un corps fini. Zbl 0252.10036
Rhin, Georges
16
1972
all top 5

Cited by 181 Authors

19 Rhin, Georges
13 Flammang, Valérie
12 Zudilin, Wadim
10 Wu, Qiang
8 Viola, Carlo
7 Sac-Epee, Jean-Marc
5 Dubickas, Artūras
5 Pritsker, Igor E.
5 Rivoal, Tanguy
5 Smyth, Christopher J.
4 Fischler, Stéphane
4 Marcovecchio, Raffaele
4 Tichy, Robert Franz
3 Adam, Brigitte
3 Car, Mireille
3 Coquet, Jean
3 Gorodetsky, Ofir
3 Hare, Kevin G.
3 Hata, Masayoshi
3 Luchin, Mikhaĭl Yur’evich
3 McKee, James F.
3 Salikhov, Vladislav Khasanovich
3 Thuswaldner, Jörg Maximilian
2 Alex, Leo J.
2 Amoroso, Francesco Antonio
2 Bergelson, Vitaly
2 Borwein, Peter Benjamin
2 Dikranjan, Dikran N.
2 Evertse, Jan-Hendrik
2 Fili, Paul A.
2 Giordano Bruno, Anna
2 Kolesnik, Grigoriĭ Abramovich
2 Larcher, Gerhard
2 Liardet, Pierre
2 Lohöfer, Georg
2 Matala-aho, Tapani
2 Maul, Armand
2 Mayer, Dieter H.
2 Pollack, Paul
2 Polyanskiĭ, Aleksandr Andreevich
2 Pottmeyer, Lukas
2 Samuels, Charles L.
2 Son, Younghwan
2 Spiegelhofer, Lukas
2 Toffin, Philippe
2 Turnwald, Gerhard
2 Verger-Gaugry, Jean-Louis
2 Yatsyna, Pavlo
2 Zeilberger, Doron
1 Aguirre Estibalez, Julián
1 Amri, Myriam
1 Androsenko, V. A.
1 Baake, Michael
1 Balasubramanian, Ramachandran
1 Barat, Guy
1 Bashmakova, Mariya Gennad’evna
1 Berardini, Elena
1 Berthé, Valérie
1 Bienvenu, Pierre-Yves
1 Bilbao, Mikel
1 Bombieri, Enrico
1 Bondareva, Inna Vasil’evna
1 Bouhamza, Mostapha
1 Bovykin, Andrey I.
1 Boyd, David William
1 Bugeaud, Yann
1 Bundschuh, Peter
1 Charkani, Mohamed Elhassani
1 Chen, Yonggao
1 Chu, Wenchang
1 Cohen, Stephen D.
1 Coons, Michael
1 Cuny, Christophe
1 Dauguet, Simon
1 de la Peña, José Antonio
1 Djanković, Goran
1 Doche, Christophe
1 Đokić, Dragan
1 Dong, Xiaoqian
1 Dougherty-Bliss, Robert
1 Dresden, Gregory P. B.
1 Drmota, Michael
1 Dupont, Clément
1 Dutykh, Denys
1 Eisner, Tanja
1 El Otmani, Souad
1 Elsner, Carsten
1 Emery, Vincent
1 Farkas, Bálint
1 Ferretti, Roberto Giorgio
1 Foster, Lorraine L.
1 Gallardo, Luis Henri
1 Ghate, Eknath P.
1 Giangreco-Maidana, Alejandro José
1 Goldstein, Catherine
1 Gong, Ming-Liang
1 Goto, Kazuo
1 Grandcolas, Michel
1 Greaves, Gary
1 Győry, Kálmán
...and 81 more Authors
all top 5

Cited in 77 Serials

19 Mathematics of Computation
18 Journal of Number Theory
15 Journal de Théorie des Nombres de Bordeaux
6 Rocky Mountain Journal of Mathematics
6 Annales de l’Institut Fourier
5 Transactions of the American Mathematical Society
5 Finite Fields and their Applications
4 Lithuanian Mathematical Journal
4 Acta Arithmetica
4 Proceedings of the American Mathematical Society
4 International Journal of Number Theory
3 Advances in Mathematics
3 Monatshefte für Mathematik
3 Proceedings of the Japan Academy. Series A
3 Indagationes Mathematicae. New Series
3 Experimental Mathematics
3 The Ramanujan Journal
3 Journal of the Australian Mathematical Society
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Chebyshevskiĭ Sbornik
2 Israel Journal of Mathematics
2 Journal d’Analyse Mathématique
2 Journal of Mathematical Analysis and Applications
2 Mathematical Notes
2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
2 Archiv der Mathematik
2 Compositio Mathematica
2 Journal of Computational and Applied Mathematics
2 Manuscripta Mathematica
2 Mathematische Annalen
2 Constructive Approximation
2 Journal of Mathematical Sciences (New York)
2 Boletín de la Sociedad Matemática Mexicana. Third Series
1 Bulletin of the Australian Mathematical Society
1 Letters in Mathematical Physics
1 Moscow University Mathematics Bulletin
1 Problems of Information Transmission
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Bulletin of the London Mathematical Society
1 Illinois Journal of Mathematics
1 Publications Mathématiques
1 Inventiones Mathematicae
1 Journal of Approximation Theory
1 Journal of Pure and Applied Algebra
1 Journal für die Reine und Angewandte Mathematik
1 Mathematica Slovaca
1 Mathematische Zeitschrift
1 Mathematika
1 Nagoya Mathematical Journal
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Rendiconti del Seminario Matematico della Università di Padova
1 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques
1 Ergodic Theory and Dynamical Systems
1 Acta Mathematica Hungarica
1 Physica D
1 Revista Matemática Iberoamericana
1 Linear Algebra and its Applications
1 Bulletin of the American Mathematical Society. New Series
1 Kyushu Journal of Mathematics
1 The New York Journal of Mathematics
1 Integral Transforms and Special Functions
1 Sbornik: Mathematics
1 Izvestiya: Mathematics
1 Documenta Mathematica
1 Annales Academiae Scientiarum Fennicae. Mathematica
1 Geometry & Topology
1 Annals of Mathematics. Second Series
1 Integers
1 Milan Journal of Mathematics
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
1 Moscow Journal of Combinatorics and Number Theory
1 Annales Mathématiques du Québec
1 Complex Analysis and its Synergies
1 Research in Number Theory

Citations by Year