Edit Profile Rhin, Georges Compute Distance To: Compute Author ID: rhin.georges Published as: Rhin, G.; Rhin, Georges Documents Indexed: 59 Publications since 1969 all top 5 Co-Authors 18 single-authored 9 Sac-Epee, Jean-Marc 7 Flammang, Valérie 6 Viola, Carlo 5 Wu, Qiang 4 Dubois, Eugène 4 El Otmani, Souad 3 Adam, Brigitte 3 Maul, Armand 3 Smyth, Christopher J. 3 Toffin, Philippe 2 Coquet, Jean 2 Langevin, Michel 2 Levesque, Claude 2 Otmani, S. El 2 Reyssat, Eric 1 El Arwadi, Toufic 1 Grandcolas, Michel 1 Mortini, Raymond 1 Mossinghoff, Michael J. all top 5 Serials 6 Mathematics of Computation 5 Acta Arithmetica 4 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 55 Number theory (11-XX) 9 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 39 Publications have been cited 228 times in 172 Documents Cited by ▼ Year ▼ On a permutation group related to \(\zeta (2)\). Zbl 0864.11037Rhin, Georges; Viola, Carlo 31 1996 The group structure for \(\zeta(3)\). Zbl 1004.11042Rhin, Georges; Viola, Carlo 24 2001 Minimal Mahler measures. Zbl 1194.11100Mossinghoff, Michael J.; Rhin, Georges; Wu, Qiang 13 2008 Padé approximants and effective measures of irrationality. Zbl 0632.10034Rhin, Georges 13 1987 The integer transfinite diameter of intervals and totally real algebraic integers. Zbl 0892.11033Flammang, V.; Rhin, G.; Smyth, C. J. 12 1997 Répartition modulo 1 dans un corps de séries formelles sur un corps fini. Zbl 0252.10036Rhin, Georges 12 1972 Integer transfinite diameter and polynomials with small Mahler measure. Zbl 1155.11352Flammang, Valérie; Rhin, Georges; Sac-Épée, Jean-Marc 10 2006 Small Salem numbers. Zbl 0935.11038Flammang, V.; Grandcolas, M.; Rhin, G. 10 1999 Sur la répartition modulo 1 des suites \(f(p)\). Zbl 0264.10026Rhin, Georges 10 1973 On the absolute Mahler measure of polynomials having all zeros in a sector. Zbl 0820.11064Rhin, Georges; Smyth, Christopher 9 1995 Représentations des entiers naturels et indépendance statistique. II. Zbl 0437.10026Coquet, Jean; Rhin, Georges; Toffin, Philippe 9 1981 Approximants de Padé simultanés de logarithmes. (Simultaneous Padé approximants of logarithms). Zbl 0596.10033Rhin, Georges; Toffin, Philippe 8 1986 Two families of periodic Jacobi algorithms with period lengths going to infinity. Zbl 0723.11032Levesque, C.; Rhin, G. 7 1991 On the absolute Mahler measure of polynomials having all zeros in a sector. II. Zbl 1084.11057Rhin, Georges; Wu, Qiang 6 2005 On the smallest value of the maximal modulus of an algebraic integer. Zbl 1126.11015Rhin, Georges; Wu, Qiang 5 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 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 On the absolute Mahler measure of polynomials having all zeros in a sector. III. Zbl 1325.11108Flammang, V.; Rhin, G. 3 2015 The totally real algebraic integers with diameter less than 4. Zbl 1261.11028Flammang, Valérie; Rhin, Georges; Wu, Qiang 3 2011 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. 2 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. 2 2014 Multiple integrals and linear forms in zeta-values. Zbl 1193.11073Rhin, Georges; Viola, Carlo 2 2007 Algebraic integers whose conjugates all lie in an ellipse. Zbl 1075.11063Flammang, Valérie; Rhin, Georges 2 2005 On the Mahler measure of the composition of two polynomials. Zbl 0868.11050Rhin, G.; Smyth, C. J. 2 1997 Continued fraction and Jacobi-Perron algorithms. Zbl 0858.11069Adam, Brigitte; Rhin, Georges 2 1996 Fourier-Bohr spectrum of sequences related to continued fractions. Zbl 0521.10044Coquet, Jean; Rhin, Georges; Toffin, Philippe 2 1983 Répartition modulo 1 de \(f(p_n)\) quand \(f\) est une série entière. Zbl 0305.10046Rhin, G. 2 1975 Approximations rationnelles simultanees de nombres algébriques réels et de nombres algébriques p-adiques. Zbl 0305.10031Dubois, Eugene; Rhin, Georges 2 1975 Finding new limit points of Mahler’s measure by genetic algorithms. Zbl 07068029Otmani, 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. 1 2017 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 Periodic Jacobi-Perron expansions associated with a unit. Zbl 1270.11068Adam, Brigitte; Rhin, Georges 1 2011 Integer transfinite diameter and computation of polynomials. Zbl 1335.11089Rhin, Georges; Wu, Qiang 1 2008 New methods providing high degree polynomials with small Mahler measure. Zbl 1075.11065Rhin, G.; Sac-Épée, J.-M. 1 2003 A few classes of periodic continued fractions. Zbl 0615.10014Levesque, Claude; Rhin, Georges 1 1986 Sur l’approximation diophantienne simultanee de deux logarithmes de nombres rationnels. Zbl 0518.10039Rhin, Georges 1 1983 Équirepartition modulo 1 des suites lacunaires. Zbl 0288.10016Rhin, Georges 1 1973 Finding new limit points of Mahler’s measure by genetic algorithms. Zbl 07068029Otmani, 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. 1 2017 On the absolute Mahler measure of polynomials having all zeros in a sector. III. Zbl 1325.11108Flammang, V.; Rhin, G. 3 2015 A salem number with degree 34 and trace -3. Zbl 1308.90110El Otmani, S.; Rhin, G.; Sac-Épée, J.-M. 2 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. 2 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 1 2011 Minimal Mahler measures. Zbl 1194.11100Mossinghoff, Michael J.; Rhin, Georges; Wu, Qiang 13 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 5 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 10 2006 On the absolute Mahler measure of polynomials having all zeros in a sector. II. Zbl 1084.11057Rhin, Georges; Wu, Qiang 6 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. 1 2003 The group structure for \(\zeta(3)\). Zbl 1004.11042Rhin, Georges; Viola, Carlo 24 2001 Small Salem numbers. Zbl 0935.11038Flammang, V.; Grandcolas, M.; Rhin, G. 10 1999 The integer transfinite diameter of intervals and totally real algebraic integers. Zbl 0892.11033Flammang, V.; Rhin, G.; Smyth, C. J. 12 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 31 1996 Continued fraction and Jacobi-Perron algorithms. 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 9 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. 7 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. Zbl 0632.10034Rhin, Georges 13 1987 Approximants de Padé simultanés de logarithmes. (Simultaneous Padé approximants of logarithms). Zbl 0596.10033Rhin, Georges; Toffin, Philippe 8 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 9 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 Répartition modulo 1 de \(f(p_n)\) quand \(f\) est une série entière. Zbl 0305.10046Rhin, G. 2 1975 Approximations rationnelles simultanees de nombres algébriques réels et de nombres algébriques p-adiques. Zbl 0305.10031Dubois, Eugene; Rhin, Georges 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 12 1972 all cited Publications top 5 cited Publications all top 5 Cited by 168 Authors 18 Rhin, Georges 11 Flammang, Valérie 11 Zudilin, Wadim 10 Wu, Qiang 8 Viola, Carlo 5 Dubickas, Artūras 5 Rivoal, Tanguy 5 Sac-Epee, Jean-Marc 5 Smyth, Christopher J. 4 Fischler, Stéphane 4 Pritsker, Igor E. 4 Tichy, Robert Franz 3 Adam, Brigitte 3 Coquet, Jean 3 Hare, Kevin G. 3 Hata, Masayoshi 3 Luchin, Mikhaĭl Yur’evich 3 Marcovecchio, Raffaele 3 McKee, James F. 3 Salikhov, Vladislav Khasanovich 2 Alex, Leo J. 2 Amoroso, Francesco 2 Bergelson, Vitaly 2 Borwein, Peter Benjamin 2 Dikranjan, Dikran N. 2 El Otmani, Souad 2 Evertse, Jan-Hendrik 2 Fili, Paul A. 2 Giordano Bruno, Anna 2 Gorodetsky, Ofir 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 Otmani, S. El 2 Pollack, Paul 2 Polyanskiĭ, Aleksandr Andreevich 2 Pottmeyer, Lukas 2 Samuels, Charles L. 2 Son, Younghwan 2 Thuswaldner, Jörg Maximilian 2 Toffin, Philippe 2 Turnwald, Gerhard 2 Yatsyna, Pavlo 1 Aguirre Estibalez, Julián 1 Androsenko, V. A. 1 Baake, Michael 1 Balasubramanian, Ramachandran 1 Barat, Guy 1 Bashmakova, Mariya Gennad’evna 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 Car, Mireille 1 Charkani, Mohamed Elhassani 1 Chen, Yonggao 1 Chu, Wenchang 1 Cohen, Guy 1 Cohen, Stephen D. 1 Coons, Michael 1 Cuny, Christophe 1 Dauguet, Simon 1 de la Peña, José Antonio 1 Deléglise, Marc 1 Doche, Christophe 1 Dong, Xiaoqian 1 Dresden, Gregory P. B. 1 Drmota, Michael 1 Dupont, Clément 1 Eisner, Tanja 1 Elsner, Carsten 1 Emery, Vincent 1 Farkas, Bálint 1 Ferretti, Roberto Giorgio 1 Foster, Lorraine L. 1 Ghate, Eknath P. 1 Goldstein, Catherine 1 Gong, Ming-Liang 1 Goto, Kazuo 1 Grandcolas, Michel 1 Greaves, Gary 1 Győry, Kálmán 1 Habsieger, Laurent 1 Halter-Koch, Franz 1 Heimonen, Ari 1 Hernane, Mohand-Ouamar 1 Hessami Pilehrood, Khodabakhsh 1 Hessami Pilehrood, Tatiana 1 Hironaka, Eriko 1 Hirvensalo, Mika ...and 68 more Authors all top 5 Cited in 72 Serials 19 Journal of Number Theory 18 Mathematics of Computation 15 Journal de Théorie des Nombres de Bordeaux 6 Annales de l’Institut Fourier 5 Rocky Mountain Journal of Mathematics 5 Finite Fields and their Applications 4 Lithuanian Mathematical Journal 4 Proceedings of the American Mathematical Society 4 Transactions of the American Mathematical Society 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 Journal of the Australian Mathematical Society 3 Chebyshevskiĭ Sbornik 2 Israel Journal of Mathematics 2 Journal d’Analyse Mathématique 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 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Bulletin of the Australian Mathematical Society 1 Journal of Mathematical Analysis and Applications 1 Letters in Mathematical Physics 1 Moscow University Mathematics Bulletin 1 Problems of Information Transmission 1 Acta Arithmetica 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 Revista Matemática Iberoamericana 1 Linear Algebra and its Applications 1 Bulletin of the American Mathematical Society. New Series 1 Kyushu 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 The Ramanujan Journal 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 International Journal of Number Theory 1 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 1 Moscow Journal of Combinatorics and Number Theory 1 Annales Mathématiques du Québec all top 5 Cited in 30 Fields 159 Number theory (11-XX) 18 Special functions (33-XX) 14 Field theory and polynomials (12-XX) 14 Functions of a complex variable (30-XX) 12 Dynamical systems and ergodic theory (37-XX) 7 Group theory and generalizations (20-XX) 7 Approximations and expansions (41-XX) 5 Algebraic geometry (14-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Real functions (26-XX) 3 Computer science (68-XX) 3 Operations research, mathematical programming (90-XX) 2 Mathematical logic and foundations (03-XX) 2 Combinatorics (05-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 Operator theory (47-XX) 2 Manifolds and cell complexes (57-XX) 2 Numerical analysis (65-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 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) Citations by Year