Edit Profile (opens in new tab) Mignotte, Maurice Co-Author Distance Author ID: mignotte.maurice Published as: Mignotte, Maurice; Mignotte, M. External Links: MGP Documents Indexed: 215 Publications since 1971, including 5 Books 2 Further Contributions Reviewing Activity: 344 Reviews Co-Authors: 75 Co-Authors with 118 Joint Publications 1,889 Co-Co-Authors all top 5 Co-Authors 98 single-authored 33 Bugeaud, Yann 19 Cipu, Mihai 12 Siksek, Samir 11 Luca, Florian 10 Waldschmidt, Michel 8 Bonciocat, Nicolae Ciprian 7 Tzanakis, Nikos 6 Pethő, Attila 6 Roy, Yves 6 Ştefănescu, Doru 5 Bennett, Michael A. 4 Glesser, Philippe 3 Gramain, Francois 3 Győry, Kálmán 3 Hanrot, Guillaume 3 Petković, Miodrag S. 3 Shorey, Tarlok Nath 2 Amoroso, Francesco Antonio 2 Belaga, Edward G. 2 Bilu, Yuri F. 2 Cerlienco, Luigi 2 Diankha, Oumar 2 Diouf, Ismaïla 2 Fall, Oumar 2 Fujita, Yasutsugu 2 Laradji, Abdallah 2 Laurent, Michel 2 Piras, Francesco 2 Sanghare, Mamadou 1 Arnon, Dennis S. 1 Avanissian, Vazgain 1 Batra, Prashant 1 Berstel, Jean 1 Bertrand, Daniel 1 Bonciocat, Anca Iuliana 1 Bonciocat, Ciprian Mircea 1 Boulagouaz, M’hammed 1 Buchmann, Johannes A. 1 Cao, Zhenfu 1 Cohen, Henri 1 Collins, George E. 1 Dahmen, Sander R. 1 Davenport, James Harold 1 de Weger, Benjamin M. M. 1 Diakhate, Babacar 1 Diaz, Guy 1 Dujella, Andrej 1 Duquesne, Sylvain 1 Emsalem, Michel 1 Filipin, Alan 1 Huttner, Marc 1 Kientega, Gérard 1 Langevin, Michel 1 Lemmermeyer, Franz Josef 1 Loxton, John H. 1 Moreau, Jean-Charles 1 Nesterenko, Yuriĭ Valentinovich 1 Nicolas, Jean-Louis 1 Nikiema, Salifou 1 Normandin, Frédéric 1 Okazaki, Ryotaro 1 Payafar, M. 1 Philippon, Patrice 1 Pintér, Ákos 1 Reyssat, Eric 1 Roth, Ralf 1 Schnorr, Claus Peter 1 Shparlinski, Igor E. 1 Stoll, Michael 1 Tall, Amadou Makhtar 1 Tengely, Szabolcs 1 Tijdeman, Robert 1 Togbé, Alain 1 Trajković, Miroslav 1 van der Poorten, Alfred J. 1 von zur Gathen, Joachim 1 Voutier, Paul M. 1 Winkler, Franz all top 5 Serials 11 Acta Arithmetica 9 Journal of Number Theory 9 Journal of Symbolic Computation 7 Comptes Rendus de l’Académie des Sciences. Série I 5 Publicationes Mathematicae Debrecen 5 Theoretical Computer Science 5 Comptes Rendus Mathématiques de l’Académie des Sciences 4 Glasgow Mathematical Journal 4 Journal für die Reine und Angewandte Mathematik 4 SIGSAM Bulletin 4 L’Enseignement Mathématique. 2e Série 4 Bulletin Mathématique de la Société des Sciences Mathématiques de Roumanie. Nouvelle Série 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Mathematics of Computation 3 Compositio Mathematica 3 Elemente der Mathematik 3 Applicable Algebra in Engineering, Communication and Computing 3 International Journal of Number Theory 3 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 2 Gazette des Mathématiciens 2 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques 2 Publicacions Matemàtiques 2 Rendiconti del Seminario della Facoltà di Scienze dell’ Università di Cagliari 2 Experimental Mathematics 2 Journal de Théorie des Nombres de Bordeaux 2 Bulletin de la Société Mathématique de France. Supplément. Mémoires 2 Science China. Mathematics 2 Africa Mathematics Annals (AFMA) 1 Acta Mathematica Academiae Scientiarum Hungaricae 1 American Mathematical Monthly 1 Communications in Algebra 1 Mathematical Notes 1 Mathematische Semesterberichte 1 Rocky Mountain Journal of Mathematics 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Arkiv för Matematik 1 Annales de l’Institut Fourier 1 Annales des Sciences Mathématiques du Québec 1 Archiv der Mathematik 1 Bulletin of the London Mathematical Society 1 Bulletin des Sciences Mathématiques. Deuxième Série 1 Bulletin de la Société Mathématique de France 1 Canadian Journal of Mathematics 1 Colloquium Mathematicum 1 The Fibonacci Quarterly 1 Journal of Algebra 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Annalen 1 Mathematica Scandinavica 1 Mathematika 1 Monatshefte für Mathematik 1 Numerische Mathematik 1 Pacific Journal of Mathematics 1 Portugaliae Mathematica 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the Japan Academy. Series A 1 Proceedings of the London Mathematical Society. Third Series 1 RAIRO. Analyse Numérique 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Bulletin of the Greek Mathematical Society 1 Journal of Algorithms 1 European Journal of Combinatorics 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Facta Universitatis. Series Mathematics and Informatics 1 Mathematica Pannonica 1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique 1 Glasnik Matematički. Serija III 1 Journal of the Australian Mathematical Society. Series A 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Mémoires de la Société Mathématique de France. Nouvelle Série 1 Indagationes Mathematicae. New Series 1 Divulgaciones Matemáticas 1 Revue d’Histoire des Mathématiques 1 The Ramanujan Journal 1 Acta Academiae Paedagogicae Agriensis. Nova Series. Sectio Matematicae 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Mathematical Inequalities & Applications 1 Annals of Mathematics. Second Series 1 The Quarterly Journal of Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 JP Journal of Algebra, Number Theory and Applications 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Bulletin de la Société Mathématique de Belgique 1 Graduate Texts in Mathematics 1 International Mathematical Forum 1 International Journal of Algebra 1 Algebra & Number Theory 1 Nederlandse Akademie van Wetenschappen. Proceedings. Series A. Indagationes Mathematicae 1 Annales Mathématiques du Québec 1 Mathematica all top 5 Fields 192 Number theory (11-XX) 37 Field theory and polynomials (12-XX) 17 Functions of a complex variable (30-XX) 16 Computer science (68-XX) 11 Numerical analysis (65-XX) 6 Real functions (26-XX) 5 Commutative algebra (13-XX) 3 Mathematical logic and foundations (03-XX) 3 Information and communication theory, circuits (94-XX) 2 Potential theory (31-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Probability theory and stochastic processes (60-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 150 Publications have been cited 1,450 times in 1,002 Documents Cited by ▼ Year ▼ Existence of primitive divisors of Lucas and Lehmer numbers (with an appendix by M. Mignotte). Zbl 0995.11010Bilu, Yu.; Hanrot, G.; Voutier, P. M. 184 2001 Classical and modular approaches to exponential Diophantine equations. I: Fibonacci and Lucas perfect powers. Zbl 1113.11021Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir 182 2006 Number theory. Volume II: Analytic and modern tools. Zbl 1119.11002Cohen, Henri 130 2007 Linear forms in two logarithms and interpolation determinants. (Formes linéaires en deux logarithmes et déterminants d’interpolation.) Zbl 0843.11036Laurent, Michel; Mignotte, Maurice; Nesterenko, Yuri 97 1995 Classical and modular approaches to exponential Diophantine equations. II: The Lebesgue-Nagell equation. Zbl 1128.11013Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir 44 2006 An inequality about factors of polynomials. Zbl 0299.12101Mignotte, M. 42 1974 Polynomials: an algorithmic approach. Zbl 0927.12004Mignotte, Maurice; Ştefănescu, Doru 36 1999 Deux propriétés décidables des suites récurrentes linéaires. Zbl 0329.10009Berstel, Jean; Mignotte, Maurice 33 1976 Mathematics for computer algebra. Transl. from the French by Catherine Mignotte. Zbl 0741.11002Mignotte, Maurice 32 1992 Fibonacci numbers at most one away from a perfect power. Zbl 1156.11008Bugeaud, Yann; Luca, Florian; Mignotte, Maurice; Siksek, Samir 31 2008 Verification of a conjecture of E. Thomas. Zbl 0780.11013Mignotte, Maurice 27 1993 On simple \(K_4\)-groups. Zbl 0989.20017Bugeaud, Yann; Cao, Zhenfu; Mignotte, Maurice 25 2001 Integral points on hyperelliptic curves. Zbl 1168.11026Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir; Stoll, Michael; Tengely, Szabolcs 24 2008 The distance between terms of an algebraic recurrence sequence. Zbl 0521.10011Mignotte, M.; Shorey, T. N.; Tijdeman, R. 23 1984 Linear forms in two logarithms and Schneider’s method. Zbl 0349.10029Mignotte, Maurice; Waldschmidt, Michel 22 1978 Polynomial root separation. Zbl 1205.11032Bugeaud, Yann; Mignotte, Maurice 21 2010 On the family of Diophantine triples \(\{k-1, k+1, 16k^3 - 4k\}\). Zbl 1168.11007Bugeaud, Yann; Dujella, Andrej; Mignotte, Maurice 21 2007 Suites récurrentes linéaires. Propriétés algébriques et arithmétiques. (Linear recurrent sequences. Algebraic and arithmetic properties). Zbl 0626.10008Cerlienco, L.; Mignotte, M.; Piras, F. 20 1987 How to share a secret. Zbl 1447.94064Mignotte, Maurice 20 1983 Some useful bounds. Zbl 0498.12019Mignotte, M. 19 1982 On the distance between roots of integer polynomials. Zbl 1071.11016Bugeaud, Yann; Mignotte, Maurice 18 2004 Complete solutions of a family of quartic Thue and index form equations. Zbl 0853.11022Mignotte, Maurice; Pethö, Attila; Roth, Ralf 17 1996 Linear forms in two logarithms and Schneider’s method. III. Zbl 0702.11044Mignotte, Maurice; Waldschmidt, Michel 17 1989 On the number of solutions to systems of Pell equations. Zbl 1137.11018Cipu, Mihai; Mignotte, Maurice 16 2007 A corollary to a theorem of Laurent-Mignotte-Nesterenko. Zbl 0919.11051Mignotte, M. 16 1998 Linear forms in two and three logarithms and interpolation determinants. Zbl 1198.11071Mignotte, M. 16 2008 On the distance between the roots of a polynomial. Zbl 0835.12002Mignotte, Maurice 15 1995 On the diophantine equations \(x^ 2+ 74= y^ 5\) and \(x^ 2+ 86= y^ 5\). Zbl 0847.11011Mignotte, Maurice; de Weger, Benjamin M. M. 15 1996 A multi-Frey approach to some multi-parameter families of Diophantine equations. Zbl 1156.11014Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir 15 2008 On integers with identical digits. Zbl 1033.11012Bugeaud, Yann; Mignotte, Maurice 15 1999 Perfect powers with few binary digits and related Diophantine problems. II. Zbl 1291.11016Bennett, Michael A.; Bugeaud, Yann; Mignotte, Maurice 14 2012 On the family of Thue equations \(x^ 3 - (n-1)x^ 2y - (n+2)xy^ 2 - y^ 3 = k\). Zbl 0862.11028Mignotte, M.; Pethö, A.; Lemmermeyer, F. 14 1996 On the number of solutions of simultaneous Pell equations. II. Zbl 1165.11034Bennett, Michael A.; Cipu, Mihai; Mignotte, Maurice; Okazaki, Ryotaro 14 2006 On a family of cubics. Zbl 0734.11025Mignotte, M.; Tzanakis, N. 14 1991 Sur les conjugués des nombres de Pisot. Zbl 0562.12001Mignotte, Maurice 13 1984 On mechanical quantifier elimination for elementary algebra and geometry. Zbl 0644.68051Arnon, Dennis S.; Mignotte, Maurice 13 1988 An inequality about irreducible factors of integer polynomials. Zbl 0648.12002Mignotte, Maurice 13 1988 Almost powers in the Lucas sequence. Zbl 1204.11030Bugeaud, Yann; Luca, Florian; Mignotte, Maurice; Siksek, Samir 12 2008 Mathématiques pour le calcul formel. (Mathematics for computer algebra). Zbl 0679.12001Mignotte, Maurice 12 1989 On algebraic numbers of small height: Linear forms in one logarithm. Zbl 0801.11033Mignotte, Maurice; Waldschmidt, Michel 11 1994 A note on the equation \(ax^ n-by^ n=c\). Zbl 0861.11025Mignotte, Maurice 11 1996 Approximations rationnelles de \(\pi\) et quelques autres nombres. Zbl 0286.10017Mignotte, Maurice 11 1974 On Fibonacci numbers of the form \(q^ky^k\). (Sur les nombres de Fibonacci de la forme \(q^ky^p\).) Zbl 1113.11010Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir 10 2004 Binomial Thue equations and polynomial powers. Zbl 1126.11018Bennett, M. A.; Győry, K.; Mignotte, M.; Pintér, Á. 10 2006 Intersection des images de certaines suites recurrentes linéaires. Zbl 0393.10009Mignotte, M. 10 1978 On \(D(-1)\)-quadruples. Zbl 1354.11024Bonciocat, Nicolae Ciprian; Cipu, Mihai; Mignotte, Maurice 10 2012 Two-parameter families of uniquely extendable Diophantine triples. Zbl 1419.11054Cipu, Mihai; Fujita, Yasutsugu; Mignotte, Maurice 10 2018 Computing the measure of a polynomial. Zbl 0629.12002Cerlienco, L.; Mignotte, M.; Piras, F. 9 1987 Sur un théorème de M. Langevin. (On a theorem of M. Langevin). Zbl 0641.12003Mignotte, Maurice 9 1989 Identification of algebraic numbers. Zbl 0498.12004Mignotte, Maurice 9 1982 Perfect powers with few binary digits and related Diophantine problems. Zbl 1303.11084Bennett, Michael A.; Bugeaud, Yann; Mignotte, Maurice 9 2013 The Nagell-Ljunggren equation \(\frac{x^n-1}{x-1}=y^q\). (L’équation de Nagell-Ljunggren \(\frac{x^n-1}{x-1}=y^q\).) Zbl 1040.11015Bugeaud, Yann; Mignotte, Maurice 9 2002 Remarque sur une question relative à des fonctions conjuguées. (Remark on a question on conjugate functions). Zbl 0773.31002Mignotte, Maurice 8 1992 On squares in certain Lucas sequences. (Sur les carrés dans certaines suites de Lucas.) Zbl 0795.11007Mignotte, Maurice; Pethö, Attila 8 1993 On the Diophantine equation \({x^ n-1\over x-1}=y^ q\). Zbl 1064.11030Bugeaud, Yann; Mignotte, Maurice; Roy, Yves 8 2000 Perfect powers from products of terms in Lucas sequences. Zbl 1137.11011Bugeaud, Yann; Luca, Florian; Mignotte, Maurice; Siksek, Samir 8 2007 On the Diophantine equation \((x^ n-1)/(x-1)=y^ q\). III. (Sur l’équation diophantienne \((x^ n-1)/(x-1)=y^ q\). III.) Zbl 1102.11305Bugeaud, Yann; Hanrot, Guillaume; Mignotte, Maurice 8 2002 A note on linear recursive sequences. Zbl 0305.10009Mignotte, M. 8 1975 Catalan’s equation just before 2000. Zbl 1065.11019Mignotte, Maurice 7 2001 Valeurs algébriques de fonctions analytiques. (Algebraic values of analytic functions). Zbl 0553.10026Gramain, François; Mignotte, Maurice; Waldschmidt, Michel 7 1986 Approximation des nombres algébriques par des nombres algébriques de grand degré. Zbl 0421.10022Mignotte, Maurice 7 1979 On the distribution of the roots of polynomials. Zbl 0867.26009Amoroso, Francesco; Mignotte, Maurice 7 1996 Shifted powers in binary recurrence sequences. Zbl 1371.11081Bennett, Michael A.; Dahmen, Sander R.; Mignotte, Maurice; Siksek, Samir 6 2015 On a conjecture on exponential Diophantine equations. Zbl 1235.11031Cipu, Mihai; Mignotte, Maurice 6 2009 Catalan’s equation has no new solution with either exponent less than 10651. Zbl 0857.11012Mignotte, Maurice; Roy, Yves 6 1995 Linear forms in two logarithms and Schneider’s method. II. Zbl 0642.10034Mignotte, Maurice; Waldschmidt, Michel 6 1989 An application of W. Schmidt’s theorem. Transcendental numbers and golden number. Zbl 0353.10025Mignotte, Maurice 6 1977 On Fibonacci numbers with few prime divisors. Zbl 1087.11009Bugeaud, Yann; Luca, Florian; Mignotte, Maurice; Siksek, Samir 6 2005 Calcul déterministe des racines d’un polynôme dans un corps fini. (Deterministic computation of the roots of a polynomial over a finite field). Zbl 0653.12011Mignotte, Maurice; Schnorr, Claus 6 1988 Irreducibility criteria for sums of two relatively prime polynomials. Zbl 1303.11119Bonciocat, Nicolae Ciprian; Bugeaud, Yann; Cipu, Mihai; Mignotte, Maurice 5 2013 Improvements of Lagrange’s bound for polynomial roots. Zbl 1358.65028Batra, Prashant; Mignotte, Maurice; Ştefănescu, Doru 5 2017 A criterion on Catalan’s equation. Zbl 0829.11016Mignotte, Maurice 5 1995 Pethő’s cubics. Zbl 0960.11020Mignotte, Maurice 5 2000 Statistiques sur \(\mathbb F_ q[X]\). Zbl 0519.60006Mignotte, M.; Nicolas, J. L. 5 1983 Arithmetical study of recurrence sequences. Zbl 0683.10010Mignotte, M.; Tzanakis, N. 5 1991 On finding the largest root of a polynomial. Zbl 0715.65033Davenport, J. H.; Mignotte, M. 5 1990 On the Diophantine equation \(D_1x^2+D_2^m=4y^n\). Zbl 1028.11019Mignotte, M. 5 1997 Distance entre les racines d’un polynôme. Zbl 0409.65025Mignotte, M.; Payafar, M. 5 1979 Approximate polynomial GCD: small degree and small height perturbations. Zbl 1248.11106von zur Gathen, Joachim; Mignotte, Maurice; Shparlinski, Igor E. 5 2010 On the diophantine equation \(x^p-x=y^q-y\). Zbl 0949.11022Mignotte, M.; Pethő, A. 5 1999 The equation \(\frac{x^n-1}{x-1}=y^q\) has no solution with \(x\) square. Zbl 0940.11020Bugeaud, Y.; Mignotte, M.; Roy, Y. 5 1999 An inequality on the greatest roots of a polynomial. Zbl 0745.12001Mignotte, M. 5 1991 Quelques remarques sur l’approximation rationnelle des nombres algébriques. Zbl 0284.10011Mignotte, Maurice 5 1974 Approximation des valeurs de fonctions transcendantes. Zbl 0305.10027Mignotte, Maurice; Waldschmidt, Michel 5 1975 The non-extendibility of some parametric families of \(D(-1)\)-triples. Zbl 1255.11015Filipin, Alan; Fujita, Yasutsugu; Mignotte, Maurice 4 2012 On the equation \(y^x\pm x^y=z^2\). Zbl 1014.11024Luca, Florian; Mignotte, Maurice 4 2000 The problem of Catalan. Zbl 1315.11003Bilu, Yuri F.; Bugeaud, Yann; Mignotte, Maurice 4 2014 Some inequalities about univariate polynomials. Zbl 0477.68040Mignotte, Maurice 4 1981 Lower bounds for Catalan’s equation. (Minorations pour l’équation de Catalan.) Zbl 0887.11018Mignotte, Maurice; Roy, Yves 4 1997 Sur les multiples des polynômes irréductibles. Zbl 0405.12021Mignotte, Maurice 4 1975 Passage d’une mesure d’approximation à une mesure de transcendance. (Passage from an approximation measure to a transcendence measure). Zbl 0763.11032Diaz, Guy; Mignotte, Maurice 4 1991 Estimates for polynomial roots. Zbl 0996.12001Mignotte, Maurice; Ştefănescu, Doru 4 2001 On the product of the largest roots of a polynomial. Zbl 0756.65074Mignotte, Maurice 3 1992 A variant of an inequality of Gel’fond and Mahler. Zbl 0790.31005Avanissian, V.; Mignotte, M. 3 1994 On the representation of Fibonacci and Lucas numbers in an integer base. Zbl 1367.11064Bugeaud, Yann; Cipu, Mihai; Mignotte, Maurice 3 2013 Détermination des répetitions d’une certaine suite récurrente linéaire. (Determination of repetitions of a certain linear recurrence sequence). Zbl 0626.10009Mignotte, Maurice 3 1986 Arithmetic in basic algebraic domains. Zbl 0533.68039Collins, G. E.; Mignotte, M.; Winkler, F. 3 1982 Fonctions entières arithmétiques. Zbl 0541.10029Gramain, François; Mignotte, Maurice 3 1983 Approximation simultanee de valeurs de la fonction exponentielle. Zbl 0345.10022Mignotte, Maurice; Waldschmidt, Michel 3 1977 Entiers algébriques dont les conjugues sont proches du cercle unite. Zbl 0424.12002Mignotte, Maurice 3 1978 There is no Diophantine \(D(-1)\)-quadruple. Zbl 07730373Bonciocat, Nicolae Ciprian; Cipu, Mihai; Mignotte, Maurice 1 2022 Two-parameter families of uniquely extendable Diophantine triples. Zbl 1419.11054Cipu, Mihai; Fujita, Yasutsugu; Mignotte, Maurice 10 2018 Improvements of Lagrange’s bound for polynomial roots. Zbl 1358.65028Batra, Prashant; Mignotte, Maurice; Ştefănescu, Doru 5 2017 Irreducibility criteria for compositions of polynomials with integer coefficients. Zbl 1360.11109Bonciocat, Nicolae Ciprian; Bugeaud, Yann; Cipu, Mihai; Mignotte, Maurice 1 2017 Shifted powers in binary recurrence sequences. Zbl 1371.11081Bennett, Michael A.; Dahmen, Sander R.; Mignotte, Maurice; Siksek, Samir 6 2015 Irreducibility criteria for sums of two relatively prime multivariate polynomials. Zbl 1363.11095Bonciocat, Nicolae Ciprian; Bugeaud, Yann; Cipu, Mihai; Mignotte, Maurice 2 2015 The problem of Catalan. Zbl 1315.11003Bilu, Yuri F.; Bugeaud, Yann; Mignotte, Maurice 4 2014 Perfect powers with few binary digits and related Diophantine problems. Zbl 1303.11084Bennett, Michael A.; Bugeaud, Yann; Mignotte, Maurice 9 2013 Irreducibility criteria for sums of two relatively prime polynomials. Zbl 1303.11119Bonciocat, Nicolae Ciprian; Bugeaud, Yann; Cipu, Mihai; Mignotte, Maurice 5 2013 On the representation of Fibonacci and Lucas numbers in an integer base. Zbl 1367.11064Bugeaud, Yann; Cipu, Mihai; Mignotte, Maurice 3 2013 Perfect powers with few binary digits and related Diophantine problems. II. Zbl 1291.11016Bennett, Michael A.; Bugeaud, Yann; Mignotte, Maurice 14 2012 On \(D(-1)\)-quadruples. Zbl 1354.11024Bonciocat, Nicolae Ciprian; Cipu, Mihai; Mignotte, Maurice 10 2012 The non-extendibility of some parametric families of \(D(-1)\)-triples. Zbl 1255.11015Filipin, Alan; Fujita, Yasutsugu; Mignotte, Maurice 4 2012 Some Pólya-type irreducibility criteria for multivariate polynomials. Zbl 1318.11136Bonciocat, Nicolae Ciprian; Bugeaud, Yann; Cipu, Mihai; Mignotte, Maurice 2 2012 Elementary trigonometric sums related to quadratic residues. Zbl 1252.11058Laradji, Abdallah; Mignotte, Maurice; Tzanakis, Nikos 1 2012 An arithmetical property of third-order linear recurrent sequences. (Une propriété arithmétique des suites récurrentes linéaires d’ordre trois.) Zbl 1257.11014Fall, Oumar; Diankha, Oumar; Mignotte, Maurice; Sanghare, Mamadou 1 2012 On \(px^{2}+q^{2n}=y^{p}\) and related Diophantine equations. Zbl 1229.11055Laradji, A.; Mignotte, M.; Tzanakis, N. 2 2011 A note on addition chains. Zbl 1231.11143Mignotte, Maurice; Tall, Amadou 2 2011 Testing degenerate polynomials. Zbl 1281.12003Cipu, Mihai; Diouf, Ismaïla; Mignotte, Maurice 1 2011 Polynomial root separation. Zbl 1205.11032Bugeaud, Yann; Mignotte, Maurice 21 2010 Approximate polynomial GCD: small degree and small height perturbations. Zbl 1248.11106von zur Gathen, Joachim; Mignotte, Maurice; Shparlinski, Igor E. 5 2010 On a conjecture on exponential Diophantine equations. Zbl 1235.11031Cipu, Mihai; Mignotte, Maurice 6 2009 Arithmetic properties of the integer part of the powers of an algebraic number. Zbl 1234.11098Luca, Florian; Mignotte, Maurice 2 2009 Fibonacci numbers at most one away from a perfect power. Zbl 1156.11008Bugeaud, Yann; Luca, Florian; Mignotte, Maurice; Siksek, Samir 31 2008 Integral points on hyperelliptic curves. Zbl 1168.11026Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir; Stoll, Michael; Tengely, Szabolcs 24 2008 Linear forms in two and three logarithms and interpolation determinants. Zbl 1198.11071Mignotte, M. 16 2008 A multi-Frey approach to some multi-parameter families of Diophantine equations. Zbl 1156.11014Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir 15 2008 Almost powers in the Lucas sequence. Zbl 1204.11030Bugeaud, Yann; Luca, Florian; Mignotte, Maurice; Siksek, Samir 12 2008 Number theory. Volume II: Analytic and modern tools. Zbl 1119.11002Cohen, Henri 130 2007 On the family of Diophantine triples \(\{k-1, k+1, 16k^3 - 4k\}\). Zbl 1168.11007Bugeaud, Yann; Dujella, Andrej; Mignotte, Maurice 21 2007 On the number of solutions to systems of Pell equations. Zbl 1137.11018Cipu, Mihai; Mignotte, Maurice 16 2007 Perfect powers from products of terms in Lucas sequences. Zbl 1137.11011Bugeaud, Yann; Luca, Florian; Mignotte, Maurice; Siksek, Samir 8 2007 Classical and modular approaches to exponential Diophantine equations. I: Fibonacci and Lucas perfect powers. Zbl 1113.11021Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir 182 2006 Classical and modular approaches to exponential Diophantine equations. II: The Lebesgue-Nagell equation. Zbl 1128.11013Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir 44 2006 On the number of solutions of simultaneous Pell equations. II. Zbl 1165.11034Bennett, Michael A.; Cipu, Mihai; Mignotte, Maurice; Okazaki, Ryotaro 14 2006 Binomial Thue equations and polynomial powers. Zbl 1126.11018Bennett, M. A.; Győry, K.; Mignotte, M.; Pintér, Á. 10 2006 \(\varphi(F_{11})=88\). Zbl 1132.11003Luca, Florian; Mignotte, Maurice 3 2006 On Fibonacci numbers with few prime divisors. Zbl 1087.11009Bugeaud, Yann; Luca, Florian; Mignotte, Maurice; Siksek, Samir 6 2005 On perfect powers in Lucas sequences. Zbl 1114.11014Bugeaud, Yann; Luca, Florian; Mignotte, Maurice; Siksek, Samir 1 2005 On the distance between roots of integer polynomials. Zbl 1071.11016Bugeaud, Yann; Mignotte, Maurice 18 2004 On Fibonacci numbers of the form \(q^ky^k\). (Sur les nombres de Fibonacci de la forme \(q^ky^p\).) Zbl 1113.11010Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir 10 2004 Linear recurrent sequences and polynomial roots. Zbl 1028.12002Mignotte, Maurice; Ştefănescu, Doru 1 2003 The Nagell-Ljunggren equation \(\frac{x^n-1}{x-1}=y^q\). (L’équation de Nagell-Ljunggren \(\frac{x^n-1}{x-1}=y^q\).) Zbl 1040.11015Bugeaud, Yann; Mignotte, Maurice 9 2002 On the Diophantine equation \((x^ n-1)/(x-1)=y^ q\). III. (Sur l’équation diophantienne \((x^ n-1)/(x-1)=y^ q\). III.) Zbl 1102.11305Bugeaud, Yann; Hanrot, Guillaume; Mignotte, Maurice 8 2002 On the Diophantine equation \((x^n -1)/(x-1)=y^q\) with negative \(x\). Zbl 1031.11019Bugeaud, Yann; Mignotte, Maurice 1 2002 Existence of primitive divisors of Lucas and Lehmer numbers (with an appendix by M. Mignotte). Zbl 0995.11010Bilu, Yu.; Hanrot, G.; Voutier, P. M. 184 2001 On simple \(K_4\)-groups. Zbl 0989.20017Bugeaud, Yann; Cao, Zhenfu; Mignotte, Maurice 25 2001 Catalan’s equation just before 2000. Zbl 1065.11019Mignotte, Maurice 7 2001 Estimates for polynomial roots. Zbl 0996.12001Mignotte, Maurice; Ştefănescu, Doru 4 2001 Upper bounds for the coefficients of irreducible integer polynomials in several variables. Zbl 0978.11007Amoroso, Francesco; Mignotte, Maurice 2 2001 On the Diophantine equation \({x^ n-1\over x-1}=y^ q\). Zbl 1064.11030Bugeaud, Yann; Mignotte, Maurice; Roy, Yves 8 2000 Pethő’s cubics. Zbl 0960.11020Mignotte, Maurice 5 2000 On the equation \(y^x\pm x^y=z^2\). Zbl 1014.11024Luca, Florian; Mignotte, Maurice 4 2000 Bounds for the roots of lacunary polynomials. Zbl 0965.12001Mignotte, Maurice 1 2000 Polynomials: an algorithmic approach. Zbl 0927.12004Mignotte, Maurice; Ştefănescu, Doru 36 1999 On integers with identical digits. Zbl 1033.11012Bugeaud, Yann; Mignotte, Maurice 15 1999 On the diophantine equation \(x^p-x=y^q-y\). Zbl 0949.11022Mignotte, M.; Pethő, A. 5 1999 The equation \(\frac{x^n-1}{x-1}=y^q\) has no solution with \(x\) square. Zbl 0940.11020Bugeaud, Y.; Mignotte, M.; Roy, Y. 5 1999 On the diophantine equation \(\frac{x^n-1}{x-1}= y^q\). II. (Sur l’équation diophantienne \(\frac{x^n-1}{x-1}= y^q\). II.) Zbl 0946.11008Bugeaud, Yann; Mignotte, Maurice 3 1999 On the roots of lacunary polynomials. Zbl 0924.26009Mignotte, Maurice; Ştefănescu, Doru 1 1999 A corollary to a theorem of Laurent-Mignotte-Nesterenko. Zbl 0919.11051Mignotte, M. 16 1998 Complete resolution of some families of diophantine equations. Zbl 0916.11016Mignotte, Maurice 2 1998 Embedding the \(3x+1\) conjecture in a \(3x+d\) context. Zbl 0918.11008Belaga, Edward G.; Mignotte, Maurice 1 1998 On the Diophantine equation \(D_1x^2+D_2^m=4y^n\). Zbl 1028.11019Mignotte, M. 5 1997 Lower bounds for Catalan’s equation. (Minorations pour l’équation de Catalan.) Zbl 0887.11018Mignotte, Maurice; Roy, Yves 4 1997 Lower bounds for Catalan’s equation. Zbl 0905.11019Mignotte, Maurice; Roy, Yves 1 1997 Complete solutions of a family of quartic Thue and index form equations. Zbl 0853.11022Mignotte, Maurice; Pethö, Attila; Roth, Ralf 17 1996 On the diophantine equations \(x^ 2+ 74= y^ 5\) and \(x^ 2+ 86= y^ 5\). Zbl 0847.11011Mignotte, Maurice; de Weger, Benjamin M. M. 15 1996 On the family of Thue equations \(x^ 3 - (n-1)x^ 2y - (n+2)xy^ 2 - y^ 3 = k\). Zbl 0862.11028Mignotte, M.; Pethö, A.; Lemmermeyer, F. 14 1996 A note on the equation \(ax^ n-by^ n=c\). Zbl 0861.11025Mignotte, Maurice 11 1996 On the distribution of the roots of polynomials. Zbl 0867.26009Amoroso, Francesco; Mignotte, Maurice 7 1996 The equations \((x+1) \cdots (x+k) = (y+1) \cdots (y+m),\quad m=5,6\). Zbl 0867.11019Mignotte, M.; Shorey, T. N. 1 1996 Linear forms in two logarithms and interpolation determinants. (Formes linéaires en deux logarithmes et déterminants d’interpolation.) Zbl 0843.11036Laurent, Michel; Mignotte, Maurice; Nesterenko, Yuri 97 1995 On the distance between the roots of a polynomial. Zbl 0835.12002Mignotte, Maurice 15 1995 Catalan’s equation has no new solution with either exponent less than 10651. Zbl 0857.11012Mignotte, Maurice; Roy, Yves 6 1995 A criterion on Catalan’s equation. Zbl 0829.11016Mignotte, Maurice 5 1995 On algebraic numbers of small measure: linear forms in one logarithm. (Nombres algébriques de petite mesure et formes linéaires en un logarithme.) Zbl 0848.11047Bugeaud, Yann; Mignotte, Maurice; Normandin, Frédéric 2 1995 On the system of diophantine equations \(x^ 2 - 6y^ 2 = -5\) and \(x = 2z^ 2 -1\). Zbl 0849.11031Mignotte, Maurice; Pethö, Attila 2 1995 The root separation of polynomials and some applications. Zbl 0833.65044Petković, M.; Mignotte, M.; Trajković, M. 1 1995 On algebraic numbers of small height: Linear forms in one logarithm. Zbl 0801.11033Mignotte, Maurice; Waldschmidt, Michel 11 1994 A variant of an inequality of Gel’fond and Mahler. Zbl 0790.31005Avanissian, V.; Mignotte, M. 3 1994 On the Catalan equation. II. (Sur l’équation de Catalan. II.) Zbl 0797.11036Mignotte, M. 2 1994 On the smallest divisor of a polynomial. Zbl 0804.12001Mignotte, Maurice; Glesser, Philippe 2 1994 Landau’s inequality via Hadamard’s. Zbl 0827.30004Mignotte, Maurice; Glesser, Philippe 2 1994 Verification of a conjecture of E. Thomas. Zbl 0780.11013Mignotte, Maurice 27 1993 On squares in certain Lucas sequences. (Sur les carrés dans certaines suites de Lucas.) Zbl 0795.11007Mignotte, Maurice; Pethö, Attila 8 1993 Mathematics for computer algebra. Transl. from the French by Catherine Mignotte. Zbl 0741.11002Mignotte, Maurice 32 1992 Remarque sur une question relative à des fonctions conjuguées. (Remark on a question on conjugate functions). Zbl 0773.31002Mignotte, Maurice 8 1992 On the product of the largest roots of a polynomial. Zbl 0756.65074Mignotte, Maurice 3 1992 Sur l’équation de Catalan. (On Catalan’s equation). Zbl 0749.11025Mignotte, Maurice 2 1992 Corrigendum and addendum: On a family of cubics. Zbl 0763.11011Mignotte, M.; Tzanakis, N. 1 1992 On a family of cubics. Zbl 0734.11025Mignotte, M.; Tzanakis, N. 14 1991 Arithmetical study of recurrence sequences. Zbl 0683.10010Mignotte, M.; Tzanakis, N. 5 1991 An inequality on the greatest roots of a polynomial. Zbl 0745.12001Mignotte, M. 5 1991 Passage d’une mesure d’approximation à une mesure de transcendance. (Passage from an approximation measure to a transcendence measure). Zbl 0763.11032Diaz, Guy; Mignotte, Maurice 4 1991 An inequality about irreducible factors of integer polynomials. II. Zbl 0739.11010Glesser, Philippe; Mignotte, Maurice 1 1991 On finding the largest root of a polynomial. Zbl 0715.65033Davenport, J. H.; Mignotte, M. 5 1990 On some arithmetical properties of weighted sums of S-units. Zbl 0738.11034Györy, K.; Mignotte, M.; Shorey, T. N. 3 1990 Linear forms in two logarithms and Schneider’s method. III. Zbl 0702.11044Mignotte, Maurice; Waldschmidt, Michel 17 1989 Mathématiques pour le calcul formel. (Mathematics for computer algebra). Zbl 0679.12001Mignotte, Maurice 12 1989 ...and 50 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 957 Authors 94 Luca, Florian 58 Togbé, Alain 46 Mignotte, Maurice 27 Bugeaud, Yann 27 Dubickas, Artūras 22 Keskin, Refik 21 Bennett, Michael A. 18 Bravo, Jhon Jairo 17 Cipu, Mihai 17 Gómez, Carlos Alexis 17 Pethő, Attila 16 Le, Maohua 16 Siksek, Samir 16 Ziegler, Volker 15 Fujita, Yasutsugu 15 Marques, Diego 14 Erduvan, Fatih 14 Rihane, Salah Eddine 12 Filipin, Alan 12 He, Bo 12 Pintér, Ákos 11 Ddamulira, Mahadi 11 Hajdu, Lajos 11 Şiar, Zafer 10 Shparlinski, Igor E. 9 Miyazaki, Takafumi 9 Waldschmidt, Michel 8 Ouaknine, Joel O. 8 Tengely, Szabolcs 8 Worrell, James B. 7 Dujella, Andrej 7 Mihăilescu, Preda 6 Bonciocat, Nicolae Ciprian 6 Dehmer, Matthias 6 Hare, Kevin G. 6 Hirata-Kohno, Noriko 6 Patel, Vandita 6 Pink, István 6 Szalay, László 6 Tichy, Robert Franz 6 Trojovský, Pavel 5 Adédji, Kouèssi Norbert 5 Adegbindin, Chèfiath Awero 5 Bérczes, Attila 5 Bhoi, Kisan 5 Bravo, Eric Fernando 5 Chen, Imin 5 Emmert-Streib, Frank 5 Fuchs, Clemens 5 Gómez, Jhonny Carpediem 5 Götze, Friedrich 5 Hernández Hernández, Santos 5 Heuberger, Clemens 5 Kafle, Bir 5 Miao, Fuyou 5 Panda, Gopal Krishna 5 Pritsker, Igor E. 5 Ray, Prasanta Kumar 5 Rayaguru, Sai Gopal 5 Ruohonen, Keijo 5 Shi, Wujie 5 Tsigaridas, Elias P. 5 Tzanakis, Nikos 4 Akhtari, Shabnam 4 Alahmadi, Adel N. 4 Almagor, Shaull 4 Balakrishnan, Jennifer S. 4 Billerey, Nicolas 4 Bilu, Yuri F. 4 Budarina, Natalia Viktorovna 4 Chen, Zengqiang 4 Collins, George E. 4 Dieulefait, Luis Victor 4 Emiris, Ioannis Z. 4 Freitas, Nuno 4 Fu, Ruiqin 4 García Lomelí, Ana Cecilia 4 Gonzalez-Vega, Laureano 4 Győry, Kálmán 4 Huang, Wenchao 4 Kaliada, Dzianis 4 Kihel, Omar 4 Kondrat’ev, Anatoliĭ Semenovich 4 Meng, Keju 4 Mowshowitz, Abbe 4 Normenyo, Benedict Vasco 4 Öğüt, Ümmügülsüm 4 Patel, Bijan Kumar 4 Poulakis, Dimitrios 4 Rout, Sudhansu Sekhar 4 Scott, Reese 4 Sha, Min 4 Shi, Yongtang 4 Soldo, Ivan 4 Soydan, Gokhan 4 Stănică, Pantelimon 4 Ştefănescu, Doru 4 Stoll, Thomas 4 Styer, Robert Alan 4 Tchammou, Euloge B. ...and 857 more Authors all top 5 Cited in 225 Serials 100 Journal of Number Theory 56 Journal of Symbolic Computation 38 Mathematics of Computation 36 Journal de Théorie des Nombres de Bordeaux 33 International Journal of Number Theory 24 Periodica Mathematica Hungarica 23 Monatshefte für Mathematik 23 Theoretical Computer Science 17 Boletín de la Sociedad Matemática Mexicana. 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