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Author ID: mignotte.maurice Recent zbMATH articles by "Mignotte, Maurice"
Published as: Mignotte, Maurice; Mignotte, M.
External Links: MGP
all top 5

Co-Authors

98 single-authored
34 Bugeaud, Yann
20 Cipu, Mihai
12 Siksek, Samir
11 Luca, Florian
10 Waldschmidt, Michel
9 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 Bonciocat, Anca Iuliana
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
2 Voutier, Paul M.
1 Arnon, Dennis S.
1 Avanissian, Vazgain
1 Batra, Prashant
1 Berstel, Jean
1 Bertrand, Daniel
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 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

Publications by Year

Citations contained in zbMATH Open

150 Publications have been cited 1,477 times in 1,024 Documents Cited by Year
Classical and modular approaches to exponential Diophantine equations. I: Fibonacci and Lucas perfect powers. Zbl 1113.11021
Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir
190
2006
Existence of primitive divisors of Lucas and Lehmer numbers (with an appendix by M. Mignotte). Zbl 0995.11010
Bilu, Yu.; Hanrot, G.; Voutier, P. M.
189
2001
Number theory. Volume II: Analytic and modern tools. Zbl 1119.11002
Cohen, Henri
131
2007
Linear forms in two logarithms and interpolation determinants. (Formes linéaires en deux logarithmes et déterminants d’interpolation.) Zbl 0843.11036
Laurent, Michel; Mignotte, Maurice; Nesterenko, Yuri
98
1995
Classical and modular approaches to exponential Diophantine equations. II: The Lebesgue-Nagell equation. Zbl 1128.11013
Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir
45
2006
An inequality about factors of polynomials. Zbl 0299.12101
Mignotte, M.
42
1974
Deux propriétés décidables des suites récurrentes linéaires. Zbl 0329.10009
Berstel, Jean; Mignotte, Maurice
38
1976
Polynomials: an algorithmic approach. Zbl 0927.12004
Mignotte, Maurice; Ştefănescu, Doru
36
1999
Mathematics for computer algebra. Transl. from the French by Catherine Mignotte. Zbl 0741.11002
Mignotte, Maurice
32
1992
Fibonacci numbers at most one away from a perfect power. Zbl 1156.11008
Bugeaud, Yann; Luca, Florian; Mignotte, Maurice; Siksek, Samir
31
2008
Verification of a conjecture of E. Thomas. Zbl 0780.11013
Mignotte, Maurice
28
1993
On simple \(K_4\)-groups. Zbl 0989.20017
Bugeaud, Yann; Cao, Zhenfu; Mignotte, Maurice
28
2001
The distance between terms of an algebraic recurrence sequence. Zbl 0521.10011
Mignotte, M.; Shorey, T. N.; Tijdeman, R.
26
1984
Integral points on hyperelliptic curves. Zbl 1168.11026
Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir; Stoll, Michael; Tengely, Szabolcs
24
2008
How to share a secret. Zbl 1447.94064
Mignotte, Maurice
22
1983
Linear forms in two logarithms and Schneider’s method. Zbl 0349.10029
Mignotte, Maurice; Waldschmidt, Michel
22
1978
Polynomial root separation. Zbl 1205.11032
Bugeaud, Yann; Mignotte, Maurice
21
2010
On the family of Diophantine triples \(\{k-1, k+1, 16k^3 - 4k\}\). Zbl 1168.11007
Bugeaud, Yann; Dujella, Andrej; Mignotte, Maurice
21
2007
Suites récurrentes linéaires. Propriétés algébriques et arithmétiques. (Linear recurrent sequences. Algebraic and arithmetic properties). Zbl 0626.10008
Cerlienco, L.; Mignotte, M.; Piras, F.
20
1987
Some useful bounds. Zbl 0498.12019
Mignotte, M.
19
1982
On the distance between roots of integer polynomials. Zbl 1071.11016
Bugeaud, Yann; Mignotte, Maurice
18
2004
Complete solutions of a family of quartic Thue and index form equations. Zbl 0853.11022
Mignotte, Maurice; Pethö, Attila; Roth, Ralf
17
1996
Linear forms in two logarithms and Schneider’s method. III. Zbl 0702.11044
Mignotte, Maurice; Waldschmidt, Michel
17
1989
On integers with identical digits. Zbl 1033.11012
Bugeaud, Yann; Mignotte, Maurice
16
1999
A corollary to a theorem of Laurent-Mignotte-Nesterenko. Zbl 0919.11051
Mignotte, M.
16
1998
Linear forms in two and three logarithms and interpolation determinants. Zbl 1198.11071
Mignotte, M.
16
2008
On the number of solutions to systems of Pell equations. Zbl 1137.11018
Cipu, Mihai; Mignotte, Maurice
16
2007
On the distance between the roots of a polynomial. Zbl 0835.12002
Mignotte, Maurice
15
1995
On the diophantine equations \(x^ 2+ 74= y^ 5\) and \(x^ 2+ 86= y^ 5\). Zbl 0847.11011
Mignotte, Maurice; de Weger, Benjamin M. M.
15
1996
A multi-Frey approach to some multi-parameter families of Diophantine equations. Zbl 1156.11014
Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir
15
2008
On a family of cubics. Zbl 0734.11025
Mignotte, M.; Tzanakis, N.
14
1991
On the number of solutions of simultaneous Pell equations. II. Zbl 1165.11034
Bennett, Michael A.; Cipu, Mihai; Mignotte, Maurice; Okazaki, Ryotaro
14
2006
On the family of Thue equations \(x^ 3 - (n-1)x^ 2y - (n+2)xy^ 2 - y^ 3 = k\). Zbl 0862.11028
Mignotte, M.; Pethö, A.; Lemmermeyer, F.
14
1996
Perfect powers with few binary digits and related Diophantine problems. II. Zbl 1291.11016
Bennett, Michael A.; Bugeaud, Yann; Mignotte, Maurice
14
2012
Sur les conjugués des nombres de Pisot. Zbl 0562.12001
Mignotte, Maurice
13
1984
On mechanical quantifier elimination for elementary algebra and geometry. Zbl 0644.68051
Arnon, Dennis S.; Mignotte, Maurice
13
1988
An inequality about irreducible factors of integer polynomials. Zbl 0648.12002
Mignotte, Maurice
13
1988
Mathématiques pour le calcul formel. (Mathematics for computer algebra). Zbl 0679.12001
Mignotte, Maurice
12
1989
Almost powers in the Lucas sequence. Zbl 1204.11030
Bugeaud, Yann; Luca, Florian; Mignotte, Maurice; Siksek, Samir
12
2008
A note on the equation \(ax^ n-by^ n=c\). Zbl 0861.11025
Mignotte, Maurice
11
1996
On algebraic numbers of small height: Linear forms in one logarithm. Zbl 0801.11033
Mignotte, Maurice; Waldschmidt, Michel
11
1994
Intersection des images de certaines suites recurrentes linéaires. Zbl 0393.10009
Mignotte, M.
11
1978
Approximations rationnelles de \(\pi\) et quelques autres nombres. Zbl 0286.10017
Mignotte, Maurice
11
1974
Binomial Thue equations and polynomial powers. Zbl 1126.11018
Bennett, M. A.; Győry, K.; Mignotte, M.; Pintér, Á.
10
2006
Two-parameter families of uniquely extendable Diophantine triples. Zbl 1419.11054
Cipu, Mihai; Fujita, Yasutsugu; Mignotte, Maurice
10
2018
On \(D(-1)\)-quadruples. Zbl 1354.11024
Bonciocat, Nicolae Ciprian; Cipu, Mihai; Mignotte, Maurice
10
2012
On Fibonacci numbers of the form \(q^ky^k\). (Sur les nombres de Fibonacci de la forme \(q^ky^p\).) Zbl 1113.11010
Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir
10
2004
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 1040.11015
Bugeaud, Yann; Mignotte, Maurice
9
2002
Perfect powers with few binary digits and related Diophantine problems. Zbl 1303.11084
Bennett, Michael A.; Bugeaud, Yann; Mignotte, Maurice
9
2013
Computing the measure of a polynomial. Zbl 0629.12002
Cerlienco, L.; Mignotte, M.; Piras, F.
9
1987
Sur un théorème de M. Langevin. (On a theorem of M. Langevin). Zbl 0641.12003
Mignotte, Maurice
9
1989
Identification of algebraic numbers. Zbl 0498.12004
Mignotte, Maurice
9
1982
Remarque sur une question relative à des fonctions conjuguées. (Remark on a question on conjugate functions). Zbl 0773.31002
Mignotte, Maurice
8
1992
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 1102.11305
Bugeaud, Yann; Hanrot, Guillaume; Mignotte, Maurice
8
2002
On squares in certain Lucas sequences. (Sur les carrés dans certaines suites de Lucas.) Zbl 0795.11007
Mignotte, Maurice; Pethö, Attila
8
1993
On the Diophantine equation \({x^ n-1\over x-1}=y^ q\). Zbl 1064.11030
Bugeaud, Yann; Mignotte, Maurice; Roy, Yves
8
2000
Perfect powers from products of terms in Lucas sequences. Zbl 1137.11011
Bugeaud, Yann; Luca, Florian; Mignotte, Maurice; Siksek, Samir
8
2007
A note on linear recursive sequences. Zbl 0305.10009
Mignotte, M.
8
1975
On the distribution of the roots of polynomials. Zbl 0867.26009
Amoroso, Francesco; Mignotte, Maurice
7
1996
Approximation des nombres algébriques par des nombres algébriques de grand degré. Zbl 0421.10022
Mignotte, Maurice
7
1979
Valeurs algébriques de fonctions analytiques. (Algebraic values of analytic functions). Zbl 0553.10026
Gramain, François; Mignotte, Maurice; Waldschmidt, Michel
7
1986
Catalan’s equation just before 2000. Zbl 1065.11019
Mignotte, Maurice
7
2001
On Fibonacci numbers with few prime divisors. Zbl 1087.11009
Bugeaud, Yann; Luca, Florian; Mignotte, Maurice; Siksek, Samir
6
2005
Catalan’s equation has no new solution with either exponent less than 10651. Zbl 0857.11012
Mignotte, Maurice; Roy, Yves
6
1995
On a conjecture on exponential Diophantine equations. Zbl 1235.11031
Cipu, Mihai; Mignotte, Maurice
6
2009
Linear forms in two logarithms and Schneider’s method. II. Zbl 0642.10034
Mignotte, Maurice; Waldschmidt, Michel
6
1989
Calcul déterministe des racines d’un polynôme dans un corps fini. (Deterministic computation of the roots of a polynomial over a finite field). Zbl 0653.12011
Mignotte, Maurice; Schnorr, Claus
6
1988
An application of W. Schmidt’s theorem. Transcendental numbers and golden number. Zbl 0353.10025
Mignotte, Maurice
6
1977
Shifted powers in binary recurrence sequences. Zbl 1371.11081
Bennett, Michael A.; Dahmen, Sander R.; Mignotte, Maurice; Siksek, Samir
6
2015
A criterion on Catalan’s equation. Zbl 0829.11016
Mignotte, Maurice
5
1995
An inequality on the greatest roots of a polynomial. Zbl 0745.12001
Mignotte, M.
5
1991
On finding the largest root of a polynomial. Zbl 0715.65033
Davenport, J. H.; Mignotte, M.
5
1990
Arithmetical study of recurrence sequences. Zbl 0683.10010
Mignotte, M.; Tzanakis, N.
5
1991
On the Diophantine equation \(D_1x^2+D_2^m=4y^n\). Zbl 1028.11019
Mignotte, M.
5
1997
On the diophantine equation \(x^p-x=y^q-y\). Zbl 0949.11022
Mignotte, M.; Pethő, A.
5
1999
Improvements of Lagrange’s bound for polynomial roots. Zbl 1358.65028
Batra, Prashant; Mignotte, Maurice; Ştefănescu, Doru
5
2017
Distance entre les racines d’un polynôme. Zbl 0409.65025
Mignotte, M.; Payafar, M.
5
1979
Approximate polynomial GCD: small degree and small height perturbations. Zbl 1248.11106
von zur Gathen, Joachim; Mignotte, Maurice; Shparlinski, Igor E.
5
2010
Statistiques sur \(\mathbb F_ q[X]\). Zbl 0519.60006
Mignotte, M.; Nicolas, J. L.
5
1983
Irreducibility criteria for sums of two relatively prime polynomials. Zbl 1303.11119
Bonciocat, Nicolae Ciprian; Bugeaud, Yann; Cipu, Mihai; Mignotte, Maurice
5
2013
The problem of Catalan. Zbl 1315.11003
Bilu, Yuri F.; Bugeaud, Yann; Mignotte, Maurice
5
2014
The equation \(\frac{x^n-1}{x-1}=y^q\) has no solution with \(x\) square. Zbl 0940.11020
Bugeaud, Y.; Mignotte, M.; Roy, Y.
5
1999
Pethő’s cubics. Zbl 0960.11020
Mignotte, Maurice
5
2000
Quelques remarques sur l’approximation rationnelle des nombres algébriques. Zbl 0284.10011
Mignotte, Maurice
5
1974
Approximation des valeurs de fonctions transcendantes. Zbl 0305.10027
Mignotte, Maurice; Waldschmidt, Michel
5
1975
Lower bounds for Catalan’s equation. (Minorations pour l’équation de Catalan.) Zbl 0887.11018
Mignotte, Maurice; Roy, Yves
4
1997
Passage d’une mesure d’approximation à une mesure de transcendance. (Passage from an approximation measure to a transcendence measure). Zbl 0763.11032
Diaz, Guy; Mignotte, Maurice
4
1991
Some inequalities about univariate polynomials. Zbl 0477.68040
Mignotte, Maurice
4
1981
The non-extendibility of some parametric families of \(D(-1)\)-triples. Zbl 1255.11015
Filipin, Alan; Fujita, Yasutsugu; Mignotte, Maurice
4
2012
Estimates for polynomial roots. Zbl 0996.12001
Mignotte, Maurice; Ştefănescu, Doru
4
2001
On the equation \(y^x\pm x^y=z^2\). Zbl 1014.11024
Luca, Florian; Mignotte, Maurice
4
2000
Sur les multiples des polynômes irréductibles. Zbl 0405.12021
Mignotte, Maurice
4
1975
On the product of the largest roots of a polynomial. Zbl 0756.65074
Mignotte, Maurice
3
1992
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 0946.11008
Bugeaud, Yann; Mignotte, Maurice
3
1999
Entiers algébriques dont les conjugues sont proches du cercle unite. Zbl 0424.12002
Mignotte, Maurice
3
1978
A variant of an inequality of Gel’fond and Mahler. Zbl 0790.31005
Avanissian, V.; Mignotte, M.
3
1994
Arithmetic in basic algebraic domains. Zbl 0533.68039
Collins, G. E.; Mignotte, M.; Winkler, F.
3
1982
Fonctions entières arithmétiques. Zbl 0541.10029
Gramain, François; Mignotte, Maurice
3
1983
On the representation of Fibonacci and Lucas numbers in an integer base. Zbl 1367.11064
Bugeaud, 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 0626.10009
Mignotte, Maurice
3
1986
There is no Diophantine \(D(-1)\)-quadruple. Zbl 07730373
Bonciocat, Nicolae Ciprian; Cipu, Mihai; Mignotte, Maurice
1
2022
Two-parameter families of uniquely extendable Diophantine triples. Zbl 1419.11054
Cipu, Mihai; Fujita, Yasutsugu; Mignotte, Maurice
10
2018
Improvements of Lagrange’s bound for polynomial roots. Zbl 1358.65028
Batra, Prashant; Mignotte, Maurice; Ştefănescu, Doru
5
2017
Irreducibility criteria for compositions of polynomials with integer coefficients. Zbl 1360.11109
Bonciocat, Nicolae Ciprian; Bugeaud, Yann; Cipu, Mihai; Mignotte, Maurice
1
2017
Shifted powers in binary recurrence sequences. Zbl 1371.11081
Bennett, Michael A.; Dahmen, Sander R.; Mignotte, Maurice; Siksek, Samir
6
2015
Irreducibility criteria for sums of two relatively prime multivariate polynomials. Zbl 1363.11095
Bonciocat, Nicolae Ciprian; Bugeaud, Yann; Cipu, Mihai; Mignotte, Maurice
2
2015
The problem of Catalan. Zbl 1315.11003
Bilu, Yuri F.; Bugeaud, Yann; Mignotte, Maurice
5
2014
Perfect powers with few binary digits and related Diophantine problems. Zbl 1303.11084
Bennett, Michael A.; Bugeaud, Yann; Mignotte, Maurice
9
2013
Irreducibility criteria for sums of two relatively prime polynomials. Zbl 1303.11119
Bonciocat, Nicolae Ciprian; Bugeaud, Yann; Cipu, Mihai; Mignotte, Maurice
5
2013
On the representation of Fibonacci and Lucas numbers in an integer base. Zbl 1367.11064
Bugeaud, Yann; Cipu, Mihai; Mignotte, Maurice
3
2013
Perfect powers with few binary digits and related Diophantine problems. II. Zbl 1291.11016
Bennett, Michael A.; Bugeaud, Yann; Mignotte, Maurice
14
2012
On \(D(-1)\)-quadruples. Zbl 1354.11024
Bonciocat, Nicolae Ciprian; Cipu, Mihai; Mignotte, Maurice
10
2012
The non-extendibility of some parametric families of \(D(-1)\)-triples. Zbl 1255.11015
Filipin, Alan; Fujita, Yasutsugu; Mignotte, Maurice
4
2012
Some Pólya-type irreducibility criteria for multivariate polynomials. Zbl 1318.11136
Bonciocat, Nicolae Ciprian; Bugeaud, Yann; Cipu, Mihai; Mignotte, Maurice
2
2012
Elementary trigonometric sums related to quadratic residues. Zbl 1252.11058
Laradji, 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 1257.11014
Fall, Oumar; Diankha, Oumar; Mignotte, Maurice; Sanghare, Mamadou
1
2012
On \(px^{2}+q^{2n}=y^{p}\) and related Diophantine equations. Zbl 1229.11055
Laradji, A.; Mignotte, M.; Tzanakis, N.
2
2011
A note on addition chains. Zbl 1231.11143
Mignotte, Maurice; Tall, Amadou
2
2011
Testing degenerate polynomials. Zbl 1281.12003
Cipu, Mihai; Diouf, Ismaïla; Mignotte, Maurice
1
2011
Polynomial root separation. Zbl 1205.11032
Bugeaud, Yann; Mignotte, Maurice
21
2010
Approximate polynomial GCD: small degree and small height perturbations. Zbl 1248.11106
von zur Gathen, Joachim; Mignotte, Maurice; Shparlinski, Igor E.
5
2010
On a conjecture on exponential Diophantine equations. Zbl 1235.11031
Cipu, Mihai; Mignotte, Maurice
6
2009
Arithmetic properties of the integer part of the powers of an algebraic number. Zbl 1234.11098
Luca, Florian; Mignotte, Maurice
2
2009
Fibonacci numbers at most one away from a perfect power. Zbl 1156.11008
Bugeaud, Yann; Luca, Florian; Mignotte, Maurice; Siksek, Samir
31
2008
Integral points on hyperelliptic curves. Zbl 1168.11026
Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir; Stoll, Michael; Tengely, Szabolcs
24
2008
Linear forms in two and three logarithms and interpolation determinants. Zbl 1198.11071
Mignotte, M.
16
2008
A multi-Frey approach to some multi-parameter families of Diophantine equations. Zbl 1156.11014
Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir
15
2008
Almost powers in the Lucas sequence. Zbl 1204.11030
Bugeaud, Yann; Luca, Florian; Mignotte, Maurice; Siksek, Samir
12
2008
Number theory. Volume II: Analytic and modern tools. Zbl 1119.11002
Cohen, Henri
131
2007
On the family of Diophantine triples \(\{k-1, k+1, 16k^3 - 4k\}\). Zbl 1168.11007
Bugeaud, Yann; Dujella, Andrej; Mignotte, Maurice
21
2007
On the number of solutions to systems of Pell equations. Zbl 1137.11018
Cipu, Mihai; Mignotte, Maurice
16
2007
Perfect powers from products of terms in Lucas sequences. Zbl 1137.11011
Bugeaud, Yann; Luca, Florian; Mignotte, Maurice; Siksek, Samir
8
2007
Classical and modular approaches to exponential Diophantine equations. I: Fibonacci and Lucas perfect powers. Zbl 1113.11021
Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir
190
2006
Classical and modular approaches to exponential Diophantine equations. II: The Lebesgue-Nagell equation. Zbl 1128.11013
Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir
45
2006
On the number of solutions of simultaneous Pell equations. II. Zbl 1165.11034
Bennett, Michael A.; Cipu, Mihai; Mignotte, Maurice; Okazaki, Ryotaro
14
2006
Binomial Thue equations and polynomial powers. Zbl 1126.11018
Bennett, M. A.; Győry, K.; Mignotte, M.; Pintér, Á.
10
2006
\(\varphi(F_{11})=88\). Zbl 1132.11003
Luca, Florian; Mignotte, Maurice
3
2006
On Fibonacci numbers with few prime divisors. Zbl 1087.11009
Bugeaud, Yann; Luca, Florian; Mignotte, Maurice; Siksek, Samir
6
2005
On perfect powers in Lucas sequences. Zbl 1114.11014
Bugeaud, Yann; Luca, Florian; Mignotte, Maurice; Siksek, Samir
1
2005
On the distance between roots of integer polynomials. Zbl 1071.11016
Bugeaud, 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 1113.11010
Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir
10
2004
Linear recurrent sequences and polynomial roots. Zbl 1028.12002
Mignotte, 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 1040.11015
Bugeaud, 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 1102.11305
Bugeaud, Yann; Hanrot, Guillaume; Mignotte, Maurice
8
2002
On the Diophantine equation \((x^n -1)/(x-1)=y^q\) with negative \(x\). Zbl 1031.11019
Bugeaud, Yann; Mignotte, Maurice
1
2002
Existence of primitive divisors of Lucas and Lehmer numbers (with an appendix by M. Mignotte). Zbl 0995.11010
Bilu, Yu.; Hanrot, G.; Voutier, P. M.
189
2001
On simple \(K_4\)-groups. Zbl 0989.20017
Bugeaud, Yann; Cao, Zhenfu; Mignotte, Maurice
28
2001
Catalan’s equation just before 2000. Zbl 1065.11019
Mignotte, Maurice
7
2001
Estimates for polynomial roots. Zbl 0996.12001
Mignotte, Maurice; Ştefănescu, Doru
4
2001
Upper bounds for the coefficients of irreducible integer polynomials in several variables. Zbl 0978.11007
Amoroso, Francesco; Mignotte, Maurice
2
2001
On the Diophantine equation \({x^ n-1\over x-1}=y^ q\). Zbl 1064.11030
Bugeaud, Yann; Mignotte, Maurice; Roy, Yves
8
2000
Pethő’s cubics. Zbl 0960.11020
Mignotte, Maurice
5
2000
On the equation \(y^x\pm x^y=z^2\). Zbl 1014.11024
Luca, Florian; Mignotte, Maurice
4
2000
Bounds for the roots of lacunary polynomials. Zbl 0965.12001
Mignotte, Maurice
1
2000
Polynomials: an algorithmic approach. Zbl 0927.12004
Mignotte, Maurice; Ştefănescu, Doru
36
1999
On integers with identical digits. Zbl 1033.11012
Bugeaud, Yann; Mignotte, Maurice
16
1999
On the diophantine equation \(x^p-x=y^q-y\). Zbl 0949.11022
Mignotte, M.; Pethő, A.
5
1999
The equation \(\frac{x^n-1}{x-1}=y^q\) has no solution with \(x\) square. Zbl 0940.11020
Bugeaud, 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 0946.11008
Bugeaud, Yann; Mignotte, Maurice
3
1999
On the roots of lacunary polynomials. Zbl 0924.26009
Mignotte, Maurice; Ştefănescu, Doru
1
1999
A corollary to a theorem of Laurent-Mignotte-Nesterenko. Zbl 0919.11051
Mignotte, M.
16
1998
Complete resolution of some families of diophantine equations. Zbl 0916.11016
Mignotte, Maurice
2
1998
Embedding the \(3x+1\) conjecture in a \(3x+d\) context. Zbl 0918.11008
Belaga, Edward G.; Mignotte, Maurice
1
1998
On the Diophantine equation \(D_1x^2+D_2^m=4y^n\). Zbl 1028.11019
Mignotte, M.
5
1997
Lower bounds for Catalan’s equation. (Minorations pour l’équation de Catalan.) Zbl 0887.11018
Mignotte, Maurice; Roy, Yves
4
1997
Lower bounds for Catalan’s equation. Zbl 0905.11019
Mignotte, Maurice; Roy, Yves
1
1997
Complete solutions of a family of quartic Thue and index form equations. Zbl 0853.11022
Mignotte, Maurice; Pethö, Attila; Roth, Ralf
17
1996
On the diophantine equations \(x^ 2+ 74= y^ 5\) and \(x^ 2+ 86= y^ 5\). Zbl 0847.11011
Mignotte, 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 0862.11028
Mignotte, M.; Pethö, A.; Lemmermeyer, F.
14
1996
A note on the equation \(ax^ n-by^ n=c\). Zbl 0861.11025
Mignotte, Maurice
11
1996
On the distribution of the roots of polynomials. Zbl 0867.26009
Amoroso, Francesco; Mignotte, Maurice
7
1996
The equations \((x+1) \cdots (x+k) = (y+1) \cdots (y+m),\quad m=5,6\). Zbl 0867.11019
Mignotte, M.; Shorey, T. N.
1
1996
Linear forms in two logarithms and interpolation determinants. (Formes linéaires en deux logarithmes et déterminants d’interpolation.) Zbl 0843.11036
Laurent, Michel; Mignotte, Maurice; Nesterenko, Yuri
98
1995
On the distance between the roots of a polynomial. Zbl 0835.12002
Mignotte, Maurice
15
1995
Catalan’s equation has no new solution with either exponent less than 10651. Zbl 0857.11012
Mignotte, Maurice; Roy, Yves
6
1995
A criterion on Catalan’s equation. Zbl 0829.11016
Mignotte, 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 0848.11047
Bugeaud, Yann; Mignotte, Maurice; Normandin, Frédéric
2
1995
On the system of diophantine equations \(x^ 2 - 6y^ 2 = -5\) and \(x = 2z^ 2 -1\). Zbl 0849.11031
Mignotte, Maurice; Pethö, Attila
2
1995
The root separation of polynomials and some applications. Zbl 0833.65044
Petković, M.; Mignotte, M.; Trajković, M.
1
1995
On algebraic numbers of small height: Linear forms in one logarithm. Zbl 0801.11033
Mignotte, Maurice; Waldschmidt, Michel
11
1994
A variant of an inequality of Gel’fond and Mahler. Zbl 0790.31005
Avanissian, V.; Mignotte, M.
3
1994
Landau’s inequality via Hadamard’s. Zbl 0827.30004
Mignotte, Maurice; Glesser, Philippe
2
1994
On the Catalan equation. II. (Sur l’équation de Catalan. II.) Zbl 0797.11036
Mignotte, M.
2
1994
On the smallest divisor of a polynomial. Zbl 0804.12001
Mignotte, Maurice; Glesser, Philippe
2
1994
Verification of a conjecture of E. Thomas. Zbl 0780.11013
Mignotte, Maurice
28
1993
On squares in certain Lucas sequences. (Sur les carrés dans certaines suites de Lucas.) Zbl 0795.11007
Mignotte, Maurice; Pethö, Attila
8
1993
Mathematics for computer algebra. Transl. from the French by Catherine Mignotte. Zbl 0741.11002
Mignotte, Maurice
32
1992
Remarque sur une question relative à des fonctions conjuguées. (Remark on a question on conjugate functions). Zbl 0773.31002
Mignotte, Maurice
8
1992
On the product of the largest roots of a polynomial. Zbl 0756.65074
Mignotte, Maurice
3
1992
Sur l’équation de Catalan. (On Catalan’s equation). Zbl 0749.11025
Mignotte, Maurice
2
1992
Corrigendum and addendum: On a family of cubics. Zbl 0763.11011
Mignotte, M.; Tzanakis, N.
1
1992
On a family of cubics. Zbl 0734.11025
Mignotte, M.; Tzanakis, N.
14
1991
An inequality on the greatest roots of a polynomial. Zbl 0745.12001
Mignotte, M.
5
1991
Arithmetical study of recurrence sequences. Zbl 0683.10010
Mignotte, M.; Tzanakis, N.
5
1991
Passage d’une mesure d’approximation à une mesure de transcendance. (Passage from an approximation measure to a transcendence measure). Zbl 0763.11032
Diaz, Guy; Mignotte, Maurice
4
1991
An inequality about irreducible factors of integer polynomials. II. Zbl 0739.11010
Glesser, Philippe; Mignotte, Maurice
1
1991
On finding the largest root of a polynomial. Zbl 0715.65033
Davenport, J. H.; Mignotte, M.
5
1990
On some arithmetical properties of weighted sums of S-units. Zbl 0738.11034
Györy, K.; Mignotte, M.; Shorey, T. N.
3
1990
Linear forms in two logarithms and Schneider’s method. III. Zbl 0702.11044
Mignotte, Maurice; Waldschmidt, Michel
17
1989
Mathématiques pour le calcul formel. (Mathematics for computer algebra). Zbl 0679.12001
Mignotte, Maurice
12
1989
...and 50 more Documents
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Cited by 988 Authors

95 Luca, Florian
61 Togbé, Alain
46 Mignotte, Maurice
27 Bugeaud, Yann
27 Dubickas, Artūras
23 Keskin, Refik
22 Bennett, Michael A.
18 Bravo, Jhon Jairo
18 Gómez, Carlos Alexis
17 Cipu, Mihai
17 Pethő, Attila
17 Siksek, Samir
17 Ziegler, Volker
16 Erduvan, Fatih
16 Le, Maohua
15 Fujita, Yasutsugu
15 Marques, Diego
15 Rihane, Salah Eddine
13 Filipin, Alan
12 He, Bo
12 Pintér, Ákos
11 Ddamulira, Mahadi
11 Hajdu, Lajos
11 Şiar, Zafer
10 Shparlinski, Igor E.
10 Worrell, James B.
9 Miyazaki, Takafumi
9 Ouaknine, Joel O.
9 Waldschmidt, Michel
8 Tengely, Szabolcs
7 Dujella, Andrej
7 Mihăilescu, Preda
6 Adédji, Kouèssi Norbert
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 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 Tchammou, Euloge B.
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 Faye, Bernadette
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
...and 888 more Authors
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Cited in 228 Serials

101 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. Third Series
16 Rocky Mountain Journal of Mathematics
15 Indagationes Mathematicae. New Series
15 The Ramanujan Journal
14 Lithuanian Mathematical Journal
14 Proceedings of the American Mathematical Society
14 Transactions of the American Mathematical Society
12 Bulletin of the Australian Mathematical Society
12 Acta Arithmetica
11 Proceedings of the Japan Academy. Series A
10 Mathematica Slovaca
10 Mathematika
10 Integers
10 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
9 Journal of Pure and Applied Algebra
8 Glasgow Mathematical Journal
8 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques
8 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
8 Applicable Algebra in Engineering, Communication and Computing
8 Journal of Integer Sequences
8 Bulletin of the Brazilian Mathematical Society. New Series
7 Information Processing Letters
7 Compositio Mathematica
7 Functiones et Approximatio. Commentarii Mathematici
7 Quaestiones Mathematicae
7 Results in Mathematics
7 Acta Mathematica Hungarica
6 Annales de l’Institut Fourier
6 Archiv der Mathematik
6 Bulletin de la Société Mathématique de France
6 Journal of Algebra
6 Journal of Mathematical Sciences (New York)
6 Turkish Journal of Mathematics
6 Mediterranean Journal of Mathematics
5 Mathematical Notes
5 Mathematical Proceedings of the Cambridge Philosophical Society
5 Applied Mathematics and Computation
5 Information Sciences
5 Inventiones Mathematicae
5 Journal für die Reine und Angewandte Mathematik
5 Rendiconti del Circolo Matemàtico di Palermo. Serie II
5 RAIRO. Informatique Théorique et Applications
5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
5 Research in Number Theory
4 Discrete Applied Mathematics
4 Mathematische Annalen
4 Bulletin of the Iranian Mathematical Society
4 Journal of Complexity
4 Experimental Mathematics
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Proceedings of the Steklov Institute of Mathematics
3 American Mathematical Monthly
3 Communications in Algebra
3 Computers & Mathematics with Applications
3 Discrete Mathematics
3 Indian Journal of Pure & Applied Mathematics
3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
3 Advances in Mathematics
3 Bulletin of the London Mathematical Society
3 Journal of the London Mathematical Society. Second Series
3 Manuscripta Mathematica
3 Tokyo Journal of Mathematics
3 International Journal of Algebra and Computation
3 Glasnik Matematički. Serija III
3 Finite Fields and their Applications
3 Theory of Computing Systems
3 Applied Mathematics E-Notes
3 Journal of Algebra and its Applications
3 Involve
3 Afrika Matematika
3 Communications in Mathematics
2 Journal d’Analyse Mathématique
2 Canadian Journal of Mathematics
2 Duke Mathematical Journal
2 Journal of Computer and System Sciences
2 Mathematische Zeitschrift
2 Rendiconti del Seminario Matematico della Università di Padova
2 Advances in Applied Mathematics
2 Information and Computation
2 Journal of Automated Reasoning
2 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série
2 Computational Geometry
2 Designs, Codes and Cryptography
2 Linear Algebra and its Applications
2 Bulletin of the American Mathematical Society. New Series
2 The New York Journal of Mathematics
2 Bulletin des Sciences Mathématiques
2 Acta Mathematica et Informatica Universitatis Ostraviensis
2 Honam Mathematical Journal
2 Matematychni Studiï
2 LMS Journal of Computation and Mathematics
2 Journal of the Australian Mathematical Society
...and 128 more Serials
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Cited in 46 Fields

803 Number theory (11-XX)
125 Computer science (68-XX)
89 Field theory and polynomials (12-XX)
45 Algebraic geometry (14-XX)
45 Numerical analysis (65-XX)
42 Group theory and generalizations (20-XX)
42 Functions of a complex variable (30-XX)
36 Combinatorics (05-XX)
30 Mathematical logic and foundations (03-XX)
30 Commutative algebra (13-XX)
30 Information and communication theory, circuits (94-XX)
24 Real functions (26-XX)
15 Dynamical systems and ergodic theory (37-XX)
13 Linear and multilinear algebra; matrix theory (15-XX)
9 Harmonic analysis on Euclidean spaces (42-XX)
9 Operations research, mathematical programming (90-XX)
8 Special functions (33-XX)
5 Potential theory (31-XX)
5 Ordinary differential equations (34-XX)
5 Probability theory and stochastic processes (60-XX)
5 Systems theory; control (93-XX)
4 Associative rings and algebras (16-XX)
4 Operator theory (47-XX)
4 Quantum theory (81-XX)
3 General and overarching topics; collections (00-XX)
3 Sequences, series, summability (40-XX)
3 Geometry (51-XX)
3 Convex and discrete geometry (52-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Measure and integration (28-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Difference and functional equations (39-XX)
2 Approximations and expansions (41-XX)
2 Algebraic topology (55-XX)
2 Manifolds and cell complexes (57-XX)
2 Statistics (62-XX)
2 Mechanics of particles and systems (70-XX)
1 History and biography (01-XX)
1 Nonassociative rings and algebras (17-XX)
1 Topological groups, Lie groups (22-XX)
1 Abstract harmonic analysis (43-XX)
1 Integral transforms, operational calculus (44-XX)
1 Differential geometry (53-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Biology and other natural sciences (92-XX)

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