Edit Profile (opens in new tab) Rhin, Georges Compute Distance To: Compute Author ID: 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 all top 5 Co-Authors 18 single-authored 10 Sac-Epee, Jean-Marc 7 Flammang, Valérie 6 Viola, Carlo 5 Wu, Qiang 4 Dubois, Eugène 3 Adam, Brigitte 3 Maul, Armand 3 Smyth, Christopher J. 3 Toffin, Philippe 2 Coquet, Jean 2 El Otmani, Souad 2 Langevin, Michel 2 Levesque, Claude 2 Reyssat, Eric 1 El Arwadi, Toufic 1 Grandcolas, Michel 1 Mortini, Raymond 1 Mossinghoff, Michael J. 1 Otmani, S. El 1 Ounaies, Myriam all top 5 Serials 6 Mathematics of Computation 5 Acta Arithmetica 5 Journal of Number Theory 4 Experimental Mathematics 4 Journal de Théorie des Nombres de Bordeaux 3 Annales de l’Institut Fourier 3 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 2 Moscow Journal of Combinatorics and Number Theory 1 Bulletin of the Australian Mathematical Society 1 Rocky Mountain Journal of Mathematics 1 Colloquium Mathematicum 1 Control and Cybernetics 1 Dissertationes Mathematicae 1 Functiones et Approximatio. Commentarii Mathematici 1 Results in Mathematics 1 Utilitas Mathematica 1 Computational Methods and Function Theory 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V all top 5 Fields 56 Number theory (11-XX) 10 Field theory and polynomials (12-XX) 3 Real functions (26-XX) 3 Operations research, mathematical programming (90-XX) 2 Special functions (33-XX) 1 Commutative algebra (13-XX) 1 Group theory and generalizations (20-XX) 1 Functions of a complex variable (30-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) Publications by Year all cited Publications top 5 cited Publications 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 0864.11037Rhin, Georges; Viola, Carlo 32 1996 The group structure for \(\zeta(3)\). Zbl 1004.11042Rhin, Georges; Viola, Carlo 25 2001 Répartition modulo 1 dans un corps de séries formelles sur un corps fini. Zbl 0252.10036Rhin, Georges 16 1972 Minimal Mahler measures. Zbl 1194.11100Mossinghoff, Michael J.; Rhin, Georges; Wu, Qiang 16 2008 The integer transfinite diameter of intervals and totally real algebraic integers. Zbl 0892.11033Flammang, V.; Rhin, G.; Smyth, C. J. 14 1997 Integer transfinite diameter and polynomials with small Mahler measure. Zbl 1155.11352Flammang, Valérie; Rhin, Georges; Sac-Épée, Jean-Marc 13 2006 On the absolute Mahler measure of polynomials having all zeros in a sector. Zbl 0820.11064Rhin, Georges; Smyth, Christopher 11 1995 Small Salem numbers. Zbl 0935.11038Flammang, V.; Grandcolas, M.; Rhin, G. 11 1999 Padé approximants and effective measures of irrationality. (Approximants de Padé et mesures effectives d’irrationalité.) Zbl 0632.10034Rhin, Georges 10 1987 Sur la répartition modulo 1 des suites \(f(p)\). Zbl 0264.10026Rhin, Georges 10 1973 Représentations des entiers naturels et indépendance statistique. II. Zbl 0437.10026Coquet, Jean; Rhin, Georges; Toffin, Philippe 10 1981 Approximants de Padé simultanés de logarithmes. (Simultaneous Padé approximants of logarithms). Zbl 0596.10033Rhin, Georges; Toffin, Philippe 9 1986 Two families of periodic Jacobi algorithms with period lengths going to infinity. Zbl 0723.11032Levesque, C.; Rhin, G. 8 1991 On the absolute Mahler measure of polynomials having all zeros in a sector. II. Zbl 1084.11057Rhin, Georges; Wu, Qiang 8 2005 On the smallest value of the maximal modulus of an algebraic integer. Zbl 1126.11015Rhin, 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 0339.10031Dubois, Eugene; Rhin, Georges 5 1976 On the absolute Mahler measure of polynomials having all zeros in a sector. III. Zbl 1325.11108Flammang, V.; Rhin, G. 5 2015 Finding degree-16 monic irreducible integer polynomials of minimal trace by optimization methods. Zbl 1291.90147El Otmani, S.; Maul, A.; Rhin, G.; Sac-Épée, J.-M. 4 2014 The permutation group method for the dilogarithm. Zbl 1170.11316Viola, Carlo; Rhin, Georges 4 2005 On the irrationality measure of \(\zeta (2)\). Zbl 0776.11036Rhin, G.; Viola, C. 4 1993 Diamètres transfinis et problème de Favard. (Transfinite diameters and the Favard problem). Zbl 0634.12003Langevin, M.; Reyssat, E.; Rhin, G. 3 1988 A salem number with degree 34 and trace -3. Zbl 1308.90110El Otmani, S.; Rhin, G.; Sac-Épée, J.-M. 3 2015 The totally real algebraic integers with diameter less than 4. Zbl 1261.11028Flammang, Valérie; Rhin, Georges; Wu, Qiang 3 2011 Periodic Jacobi-Perron expansions associated with a unit. Zbl 1270.11068Adam, Brigitte; Rhin, Georges 3 2011 Continued fraction and Jacobi-Perron algorithms. (Algorithmes des fractions continues et de Jacobi-Perron.) Zbl 0858.11069Adam, Brigitte; Rhin, Georges 2 1996 On the Mahler measure of the composition of two polynomials. Zbl 0868.11050Rhin, G.; Smyth, C. J. 2 1997 Fourier-Bohr spectrum of sequences related to continued fractions. Zbl 0521.10044Coquet, Jean; Rhin, Georges; Toffin, Philippe 2 1983 Approximations rationnelles simultanees de nombres algébriques réels et de nombres algébriques p-adiques. Zbl 0305.10031Dubois, Eugene; Rhin, Georges 2 1975 Répartition modulo 1 de \(f(p_n)\) quand \(f\) est une série entière. Zbl 0305.10046Rhin, G. 2 1975 New methods providing high degree polynomials with small Mahler measure. Zbl 1075.11065Rhin, G.; Sac-Épée, J.-M. 2 2003 Algebraic integers whose conjugates all lie in an ellipse. Zbl 1075.11063Flammang, Valérie; Rhin, Georges 2 2005 Multiple integrals and linear forms in zeta-values. Zbl 1193.11073Rhin, Georges; Viola, Carlo 2 2007 Finding new small degree polynomials with small Mahler measure by genetic algorithms. Zbl 1434.11213El Otmani, S.; Maul, A.; Rhin, G.; Sac-Épée, J.-M. 2 2017 Linear independence of 1, \(\operatorname{Li}_1\) and \(\operatorname{Li}_2\). Zbl 1450.11074Rhin, Georges; Viola, Carlo 2 2019 Sur l’approximation diophantienne simultanee de deux logarithmes de nombres rationnels. Zbl 0518.10039Rhin, Georges 1 1983 A few classes of periodic continued fractions. Zbl 0615.10014Levesque, Claude; Rhin, Georges 1 1986 Sums of holomorphic selfmaps of the unit disk. II. Zbl 1247.30001Mortini, Raymond; Rhin, Georges 1 2011 Équirepartition modulo 1 des suites lacunaires. Zbl 0288.10016Rhin, Georges 1 1973 Integer linear programming applied to determining monic hyperbolic irreducible polynomials with integer coefficients and span less than 4. Zbl 1271.90053El Otmani, Souad; Maul, Armand; Rhin, Georges; Sac-Épée, Jean-Marc 1 2013 Integer transfinite diameter and computation of polynomials. Zbl 1335.11089Rhin, Georges; Wu, Qiang 1 2008 Finding new limit points of Mahler’s measure by genetic algorithms. Zbl 1454.11196Otmani, S. El; Rhin, G.; Sac-Épée, Jean-Marc 1 2019 Linear independence of 1, \(\operatorname{Li}_1\) and \(\operatorname{Li}_2\). Zbl 1450.11074Rhin, Georges; Viola, Carlo 2 2019 Finding new limit points of Mahler’s measure by genetic algorithms. Zbl 1454.11196Otmani, S. El; Rhin, G.; Sac-Épée, Jean-Marc 1 2019 Finding new small degree polynomials with small Mahler measure by genetic algorithms. Zbl 1434.11213El 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 1325.11108Flammang, V.; Rhin, G. 5 2015 A salem number with degree 34 and trace -3. Zbl 1308.90110El Otmani, S.; Rhin, G.; Sac-Épée, J.-M. 3 2015 Finding degree-16 monic irreducible integer polynomials of minimal trace by optimization methods. Zbl 1291.90147El 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 1271.90053El Otmani, Souad; Maul, Armand; Rhin, Georges; Sac-Épée, Jean-Marc 1 2013 The totally real algebraic integers with diameter less than 4. Zbl 1261.11028Flammang, Valérie; Rhin, Georges; Wu, Qiang 3 2011 Periodic Jacobi-Perron expansions associated with a unit. Zbl 1270.11068Adam, Brigitte; Rhin, Georges 3 2011 Sums of holomorphic selfmaps of the unit disk. II. Zbl 1247.30001Mortini, Raymond; Rhin, Georges 1 2011 Minimal Mahler measures. Zbl 1194.11100Mossinghoff, Michael J.; Rhin, Georges; Wu, Qiang 16 2008 Integer transfinite diameter and computation of polynomials. Zbl 1335.11089Rhin, Georges; Wu, Qiang 1 2008 On the smallest value of the maximal modulus of an algebraic integer. Zbl 1126.11015Rhin, Georges; Wu, Qiang 6 2007 Multiple integrals and linear forms in zeta-values. Zbl 1193.11073Rhin, Georges; Viola, Carlo 2 2007 Integer transfinite diameter and polynomials with small Mahler measure. Zbl 1155.11352Flammang, Valérie; Rhin, Georges; Sac-Épée, Jean-Marc 13 2006 On the absolute Mahler measure of polynomials having all zeros in a sector. II. Zbl 1084.11057Rhin, Georges; Wu, Qiang 8 2005 The permutation group method for the dilogarithm. Zbl 1170.11316Viola, Carlo; Rhin, Georges 4 2005 Algebraic integers whose conjugates all lie in an ellipse. Zbl 1075.11063Flammang, Valérie; Rhin, Georges 2 2005 New methods providing high degree polynomials with small Mahler measure. Zbl 1075.11065Rhin, G.; Sac-Épée, J.-M. 2 2003 The group structure for \(\zeta(3)\). Zbl 1004.11042Rhin, Georges; Viola, Carlo 25 2001 Small Salem numbers. Zbl 0935.11038Flammang, V.; Grandcolas, M.; Rhin, G. 11 1999 The integer transfinite diameter of intervals and totally real algebraic integers. Zbl 0892.11033Flammang, V.; Rhin, G.; Smyth, C. J. 14 1997 On the Mahler measure of the composition of two polynomials. Zbl 0868.11050Rhin, G.; Smyth, C. J. 2 1997 On a permutation group related to \(\zeta (2)\). Zbl 0864.11037Rhin, Georges; Viola, Carlo 32 1996 Continued fraction and Jacobi-Perron algorithms. (Algorithmes des fractions continues et de Jacobi-Perron.) Zbl 0858.11069Adam, Brigitte; Rhin, Georges 2 1996 On the absolute Mahler measure of polynomials having all zeros in a sector. Zbl 0820.11064Rhin, Georges; Smyth, Christopher 11 1995 On the irrationality measure of \(\zeta (2)\). Zbl 0776.11036Rhin, G.; Viola, C. 4 1993 Two families of periodic Jacobi algorithms with period lengths going to infinity. Zbl 0723.11032Levesque, C.; Rhin, G. 8 1991 Diamètres transfinis et problème de Favard. (Transfinite diameters and the Favard problem). Zbl 0634.12003Langevin, M.; Reyssat, E.; Rhin, G. 3 1988 Padé approximants and effective measures of irrationality. (Approximants de Padé et mesures effectives d’irrationalité.) Zbl 0632.10034Rhin, Georges 10 1987 Approximants de Padé simultanés de logarithmes. (Simultaneous Padé approximants of logarithms). Zbl 0596.10033Rhin, Georges; Toffin, Philippe 9 1986 A few classes of periodic continued fractions. Zbl 0615.10014Levesque, Claude; Rhin, Georges 1 1986 Fourier-Bohr spectrum of sequences related to continued fractions. Zbl 0521.10044Coquet, Jean; Rhin, Georges; Toffin, Philippe 2 1983 Sur l’approximation diophantienne simultanee de deux logarithmes de nombres rationnels. Zbl 0518.10039Rhin, Georges 1 1983 Représentations des entiers naturels et indépendance statistique. II. Zbl 0437.10026Coquet, 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 0339.10031Dubois, Eugene; Rhin, Georges 5 1976 Approximations rationnelles simultanees de nombres algébriques réels et de nombres algébriques p-adiques. Zbl 0305.10031Dubois, Eugene; Rhin, Georges 2 1975 Répartition modulo 1 de \(f(p_n)\) quand \(f\) est une série entière. Zbl 0305.10046Rhin, G. 2 1975 Sur la répartition modulo 1 des suites \(f(p)\). Zbl 0264.10026Rhin, Georges 10 1973 Équirepartition modulo 1 des suites lacunaires. Zbl 0288.10016Rhin, Georges 1 1973 Répartition modulo 1 dans un corps de séries formelles sur un corps fini. Zbl 0252.10036Rhin, Georges 16 1972 all cited Publications top 5 cited Publications 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 all top 5 Cited in 34 Fields 173 Number theory (11-XX) 20 Special functions (33-XX) 17 Field theory and polynomials (12-XX) 16 Functions of a complex variable (30-XX) 14 Dynamical systems and ergodic theory (37-XX) 8 Group theory and generalizations (20-XX) 8 Approximations and expansions (41-XX) 7 Algebraic geometry (14-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Real functions (26-XX) 3 Combinatorics (05-XX) 3 Manifolds and cell complexes (57-XX) 3 Operations research, mathematical programming (90-XX) 2 Mathematical logic and foundations (03-XX) 2 Associative rings and algebras (16-XX) 2 Measure and integration (28-XX) 2 Potential theory (31-XX) 2 Ordinary differential equations (34-XX) 2 Difference and functional equations (39-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Operator theory (47-XX) 2 Numerical analysis (65-XX) 2 Computer science (68-XX) 1 History and biography (01-XX) 1 Commutative algebra (13-XX) 1 Category theory; homological algebra (18-XX) 1 Topological groups, Lie groups (22-XX) 1 Partial differential equations (35-XX) 1 Abstract harmonic analysis (43-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year