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Mignotte, Maurice

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Author ID: mignotte.maurice Recent zbMATH articles by "Mignotte, Maurice"
Published as: Mignotte, Maurice; Mignotte, M.
External Links: MGP
Documents Indexed: 212 Publications since 1971, including 5 Books
Reviewing Activity: 344 Reviews
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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
5 Theoretical Computer Science
5 Comptes Rendus Mathématiques de l’Académie des Sciences
4 Glasgow Mathematical Journal
4 SIGSAM Bulletin
4 L’Enseignement Mathématique. 2e Série
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Mathematics of Computation
3 Compositio Mathematica
3 Journal für die Reine und Angewandte Mathematik
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 Bulletin Mathématique de la Société des Sciences Mathématiques de Roumanie. Nouvelle Série
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 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 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

143 Publications have been cited 1,172 times in 795 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
123
2006
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
81
1995
An inequality about factors of polynomials. Zbl 0299.12101
Mignotte, M.
40
1974
Classical and modular approaches to exponential Diophantine equations. II: The Lebesgue-Nagell equation. Zbl 1128.11013
Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir
33
2006
Mathematics for computer algebra. Transl. from the French by Catherine Mignotte. Zbl 0741.11002
Mignotte, Maurice
30
1992
Polynomials: an algorithmic approach. Zbl 0927.12004
Mignotte, Maurice; Ştefănescu, Doru
28
1999
Verification of a conjecture of E. Thomas. Zbl 0780.11013
Mignotte, Maurice
25
1993
Deux propriétés décidables des suites récurrentes linéaires. Zbl 0329.10009
Berstel, Jean; Mignotte, Maurice
25
1976
Linear forms in two logarithms and Schneider’s method. Zbl 0349.10029
Mignotte, Maurice; Waldschmidt, Michel
22
1978
Fibonacci numbers at most one away from a perfect power. Zbl 1156.11008
Bugeaud, Yann; Luca, Florian; Mignotte, Maurice; Siksek, Samir
22
2008
On simple \(K_4\)-groups. Zbl 0989.20017
Bugeaud, Yann; Cao, Zhenfu; Mignotte, Maurice
21
2001
Integral points on hyperelliptic curves. Zbl 1168.11026
Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir; Stoll, Michael; Tengely, Szabolcs
21
2008
Suites récurrentes linéaires. Propriétés algébriques et arithmétiques. (Linear recurrent sequences. Algebraic and arithmetic properties). Zbl 0626.10008
Cerlienco, L.; Mignotte, M.; Piras, F.
19
1987
Polynomial root separation. Zbl 1205.11032
Bugeaud, Yann; Mignotte, Maurice
19
2010
Some useful bounds. Zbl 0498.12019
Mignotte, M.
18
1982
On the family of Diophantine triples \(\{k-1, k+1, 16k^3 - 4k\}\). Zbl 1168.11007
Bugeaud, Yann; Dujella, Andrej; Mignotte, Maurice
17
2007
Linear forms in two logarithms and Schneider’s method. III. Zbl 0702.11044
Mignotte, Maurice; Waldschmidt, Michel
17
1989
On the distance between roots of integer polynomials. Zbl 1071.11016
Bugeaud, Yann; Mignotte, Maurice
16
2004
A corollary to a theorem of Laurent-Mignotte-Nesterenko. Zbl 0919.11051
Mignotte, M.
16
1998
Complete solutions of a family of quartic Thue and index form equations. Zbl 0853.11022
Mignotte, Maurice; Pethö, Attila; Roth, Ralf
15
1996
On the number of solutions to systems of Pell equations. Zbl 1137.11018
Cipu, Mihai; Mignotte, Maurice
14
2007
On integers with identical digits. Zbl 1033.11012
Bugeaud, Yann; Mignotte, Maurice
12
1999
On the distance between the roots of a polynomial. Zbl 0835.12002
Mignotte, Maurice
12
1995
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.
12
1996
Linear forms in two and three logarithms and interpolation determinants. Zbl 1198.11071
Mignotte, M.
12
2008
Approximations rationnelles de \(\pi\) et quelques autres nombres. Zbl 0286.10017
Mignotte, Maurice
11
1974
On the number of solutions of simultaneous Pell equations. II. Zbl 1165.11034
Bennett, Michael A.; Cipu, Mihai; Mignotte, Maurice; Okazaki, Ryotaro
11
2006
On mechanical quantifier elimination for elementary algebra and geometry. Zbl 0644.68051
Arnon, Dennis S.; Mignotte, Maurice
11
1988
An inequality about irreducible factors of integer polynomials. Zbl 0648.12002
Mignotte, Maurice
11
1988
On a family of cubics. Zbl 0734.11025
Mignotte, M.; Tzanakis, N.
11
1991
On algebraic numbers of small height: Linear forms in one logarithm. Zbl 0801.11033
Mignotte, Maurice; Waldschmidt, Michel
10
1994
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
Binomial Thue equations and polynomial powers. Zbl 1126.11018
Bennett, M. A.; Győry, K.; Mignotte, M.; Pintér, Á.
10
2006
A multi-Frey approach to some multi-parameter families of Diophantine equations. Zbl 1156.11014
Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir
10
2008
Sur les conjugués des nombres de Pisot. Zbl 0562.12001
Mignotte, Maurice
10
1984
Perfect powers with few binary digits and related Diophantine problems. II. Zbl 1291.11016
Bennett, Michael A.; Bugeaud, Yann; Mignotte, Maurice
10
2012
The distance between terms of an algebraic recurrence sequence. Zbl 0521.10011
Mignotte, M.; Shorey, T. N.; Tijdeman, R.
10
1984
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.
9
1996
A note on the equation \(ax^ n-by^ n=c\). Zbl 0861.11025
Mignotte, Maurice
9
1996
Almost powers in the Lucas sequence. Zbl 1204.11030
Bugeaud, Yann; Luca, Florian; Mignotte, Maurice; Siksek, Samir
9
2008
Mathématiques pour le calcul formel. (Mathematics for computer algebra). Zbl 0679.12001
Mignotte, Maurice
9
1989
Computing the measure of a polynomial. Zbl 0629.12002
Cerlienco, L.; Mignotte, M.; Piras, F.
9
1987
Identification of algebraic numbers. Zbl 0498.12004
Mignotte, Maurice
9
1982
On squares in certain Lucas sequences. (Sur les carrés dans certaines suites de Lucas.) Zbl 0795.11007
Mignotte, Maurice; Pethö, Attila
8
1993
Intersection des images de certaines suites recurrentes linéaires. Zbl 0393.10009
Mignotte, M.
8
1978
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
8
2002
A note on linear recursive sequences. Zbl 0305.10009
Mignotte, M.
8
1975
Sur un théorème de M. Langevin. (On a theorem of M. Langevin). Zbl 0641.12003
Mignotte, Maurice
8
1989
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
7
2002
Approximation des nombres algébriques par des nombres algébriques de grand degré. Zbl 0421.10022
Mignotte, Maurice
7
1979
Perfect powers from products of terms in Lucas sequences. Zbl 1137.11011
Bugeaud, Yann; Luca, Florian; Mignotte, Maurice; Siksek, Samir
7
2007
On the Diophantine equation \({x^ n-1\over x-1}=y^ q\). Zbl 1064.11030
Bugeaud, Yann; Mignotte, Maurice; Roy, Yves
7
2000
Remarque sur une question relative à des fonctions conjuguées. (Remark on a question on conjugate functions). Zbl 0773.31002
Mignotte, Maurice
7
1992
Two-parameter families of uniquely extendable Diophantine triples. Zbl 1419.11054
Cipu, Mihai; Fujita, Yasutsugu; Mignotte, Maurice
6
2018
On the distribution of the roots of polynomials. Zbl 0867.26009
Amoroso, Francesco; Mignotte, Maurice
6
1996
Catalan’s equation just before 2000. Zbl 1065.11019
Mignotte, Maurice
6
2001
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
Valeurs algébriques de fonctions analytiques. (Algebraic values of analytic functions). Zbl 0553.10026
Gramain, François; Mignotte, Maurice; Waldschmidt, Michel
6
1986
On Fibonacci numbers with few prime divisors. Zbl 1087.11009
Bugeaud, Yann; Luca, Florian; Mignotte, Maurice; Siksek, Samir
5
2005
Quelques remarques sur l’approximation rationnelle des nombres algébriques. Zbl 0284.10011
Mignotte, Maurice
5
1974
A criterion on Catalan’s equation. Zbl 0829.11016
Mignotte, Maurice
5
1995
Catalan’s equation has no new solution with either exponent less than 10651. Zbl 0857.11012
Mignotte, Maurice; Roy, Yves
5
1995
An application of W. Schmidt’s theorem. Transcendental numbers and golden number. Zbl 0353.10025
Mignotte, Maurice
5
1977
Distance entre les racines d’un polynôme. Zbl 0409.65025
Mignotte, M.; Payafar, M.
5
1979
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 \(D(-1)\)-quadruples. Zbl 1354.11024
Bonciocat, Nicolae Ciprian; Cipu, Mihai; Mignotte, Maurice
5
2012
Approximation des valeurs de fonctions transcendantes. Zbl 0305.10027
Mignotte, Maurice; Waldschmidt, Michel
5
1975
Approximate polynomial GCD: small degree and small height perturbations. Zbl 1248.11106
von zur Gathen, Joachim; Mignotte, Maurice; Shparlinski, Igor E.
5
2010
Perfect powers with few binary digits and related Diophantine problems. Zbl 1303.11084
Bennett, Michael A.; Bugeaud, Yann; Mignotte, Maurice
5
2013
On finding the largest root of a polynomial. Zbl 0715.65033
Davenport, J. H.; Mignotte, M.
5
1990
Statistiques sur \(\mathbb F_ q[X]\). Zbl 0519.60006
Mignotte, M.; Nicolas, J. L.
5
1983
Shifted powers in binary recurrence sequences. Zbl 1371.11081
Bennett, Michael A.; Dahmen, Sander R.; Mignotte, Maurice; Siksek, Samir
5
2015
Lower bounds for Catalan’s equation. (Minorations pour l’équation de Catalan.) Zbl 0887.11018
Mignotte, Maurice; Roy, Yves
4
1997
On the Diophantine equation \(D_1x^2+D_2^m=4y^n\). Zbl 1028.11019
Mignotte, M.
4
1997
Pethő’s cubics. Zbl 0960.11020
Mignotte, Maurice
4
2000
On the equation \(y^x\pm x^y=z^2\). Zbl 1014.11024
Luca, Florian; Mignotte, Maurice
4
2000
The problem of Catalan. Zbl 1315.11003
Bilu, Yuri F.; Bugeaud, Yann; Mignotte, Maurice
4
2014
On a conjecture on exponential Diophantine equations. Zbl 1235.11031
Cipu, Mihai; Mignotte, Maurice
4
2009
Estimates for polynomial roots. Zbl 0996.12001
Mignotte, Maurice; Ştefănescu, Doru
4
2001
On the diophantine equation \(x^p-x=y^q-y\). Zbl 0949.11022
Mignotte, M.; Pethő, A.
4
1999
An inequality on the greatest roots of a polynomial. Zbl 0745.12001
Mignotte, M.
4
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
Irreducibility criteria for sums of two relatively prime polynomials. Zbl 1303.11119
Bonciocat, Nicolae Ciprian; Bugeaud, Yann; Cipu, Mihai; Mignotte, Maurice
4
2013
Arithmetical study of recurrence sequences. Zbl 0683.10010
Mignotte, M.; Tzanakis, N.
4
1991
Some inequalities about univariate polynomials. Zbl 0477.68040
Mignotte, Maurice
4
1981
A variant of an inequality of Gel’fond and Mahler. Zbl 0790.31005
Avanissian, V.; Mignotte, M.
3
1994
Approximation simultanee de valeurs de la fonction exponentielle. Zbl 0345.10022
Mignotte, Maurice; Waldschmidt, Michel
3
1977
Sur les multiples des polynômes irréductibles. Zbl 0405.12021
Mignotte, Maurice
3
1975
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 some arithmetical properties of weighted sums of S-units. Zbl 0738.11034
Györy, K.; Mignotte, M.; Shorey, T. N.
3
1990
Suites récurrentes linéaires. Zbl 0318.10005
Mignotte, Maurice
3
1975
Fonctions entières arithmétiques. Zbl 0541.10029
Gramain, François; Mignotte, Maurice
3
1983
Landau’s inequality via Hadamard’s. Zbl 0827.30004
Mignotte, Maurice; Glesser, Philippe
2
1994
Upper bounds for the coefficients of irreducible integer polynomials in several variables. Zbl 0978.11007
Amoroso, Francesco; Mignotte, Maurice
2
2001
On the Catalan equation. II. (Sur l’équation de Catalan. II.) Zbl 0797.11036
Mignotte, M.
2
1994
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
Algorithms related to the decomposition of polynomials. (Algorithmes rélatifs à la décomposition des polynômes.) Zbl 0324.65020
Mignotte, Maurice
2
1976
Calcul des racines \(d\)-iemes dans un corps fini. (Computation of \(d\)th roots over à finite field). Zbl 0423.68008
Mignotte, Maurice
2
1980
Entiers algébriques dont les conjugues sont proches du cercle unite. Zbl 0424.12002
Mignotte, Maurice
2
1978
Two-parameter families of uniquely extendable Diophantine triples. Zbl 1419.11054
Cipu, Mihai; Fujita, Yasutsugu; Mignotte, Maurice
6
2018
Improvements of Lagrange’s bound for polynomial roots. Zbl 1358.65028
Batra, Prashant; Mignotte, Maurice; Ştefănescu, Doru
1
2017
Shifted powers in binary recurrence sequences. Zbl 1371.11081
Bennett, Michael A.; Dahmen, Sander R.; Mignotte, Maurice; Siksek, Samir
5
2015
Irreducibility criteria for sums of two relatively prime multivariate polynomials. Zbl 1363.11095
Bonciocat, Nicolae Ciprian; Bugeaud, Yann; Cipu, Mihai; Mignotte, Maurice
1
2015
The problem of Catalan. Zbl 1315.11003
Bilu, Yuri F.; Bugeaud, Yann; Mignotte, Maurice
4
2014
Perfect powers with few binary digits and related Diophantine problems. Zbl 1303.11084
Bennett, Michael A.; Bugeaud, Yann; Mignotte, Maurice
5
2013
Irreducibility criteria for sums of two relatively prime polynomials. Zbl 1303.11119
Bonciocat, Nicolae Ciprian; Bugeaud, Yann; Cipu, Mihai; Mignotte, Maurice
4
2013
On the representation of Fibonacci and Lucas numbers in an integer base. Zbl 1367.11064
Bugeaud, Yann; Cipu, Mihai; Mignotte, Maurice
2
2013
Perfect powers with few binary digits and related Diophantine problems. II. Zbl 1291.11016
Bennett, Michael A.; Bugeaud, Yann; Mignotte, Maurice
10
2012
On \(D(-1)\)-quadruples. Zbl 1354.11024
Bonciocat, Nicolae Ciprian; Cipu, Mihai; Mignotte, Maurice
5
2012
The non-extendibility of some parametric families of \(D(-1)\)-triples. Zbl 1255.11015
Filipin, Alan; Fujita, Yasutsugu; Mignotte, Maurice
2
2012
Some Pólya-type irreducibility criteria for multivariate polynomials. Zbl 1318.11136
Bonciocat, Nicolae Ciprian; Bugeaud, Yann; Cipu, Mihai; Mignotte, Maurice
1
2012
Elementary trigonometric sums related to quadratic residues. Zbl 1252.11058
Laradji, Abdallah; Mignotte, Maurice; Tzanakis, Nikos
1
2012
On \(px^{2}+q^{2n}=y^{p}\) and related Diophantine equations. Zbl 1229.11055
Laradji, A.; Mignotte, M.; Tzanakis, N.
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
19
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
4
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
22
2008
Integral points on hyperelliptic curves. Zbl 1168.11026
Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir; Stoll, Michael; Tengely, Szabolcs
21
2008
Linear forms in two and three logarithms and interpolation determinants. Zbl 1198.11071
Mignotte, M.
12
2008
A multi-Frey approach to some multi-parameter families of Diophantine equations. Zbl 1156.11014
Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir
10
2008
Almost powers in the Lucas sequence. Zbl 1204.11030
Bugeaud, Yann; Luca, Florian; Mignotte, Maurice; Siksek, Samir
9
2008
On the family of Diophantine triples \(\{k-1, k+1, 16k^3 - 4k\}\). Zbl 1168.11007
Bugeaud, Yann; Dujella, Andrej; Mignotte, Maurice
17
2007
On the number of solutions to systems of Pell equations. Zbl 1137.11018
Cipu, Mihai; Mignotte, Maurice
14
2007
Perfect powers from products of terms in Lucas sequences. Zbl 1137.11011
Bugeaud, Yann; Luca, Florian; Mignotte, Maurice; Siksek, Samir
7
2007
Classical and modular approaches to exponential Diophantine equations. I: Fibonacci and Lucas perfect powers. Zbl 1113.11021
Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir
123
2006
Classical and modular approaches to exponential Diophantine equations. II: The Lebesgue-Nagell equation. Zbl 1128.11013
Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir
33
2006
On the number of solutions of simultaneous Pell equations. II. Zbl 1165.11034
Bennett, Michael A.; Cipu, Mihai; Mignotte, Maurice; Okazaki, Ryotaro
11
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
1
2006
On Fibonacci numbers with few prime divisors. Zbl 1087.11009
Bugeaud, Yann; Luca, Florian; Mignotte, Maurice; Siksek, Samir
5
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
16
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
8
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
7
2002
On the Diophantine equation \((x^n -1)/(x-1)=y^q\) with negative \(x\). Zbl 1031.11019
Bugeaud, Yann; Mignotte, Maurice
1
2002
On simple \(K_4\)-groups. Zbl 0989.20017
Bugeaud, Yann; Cao, Zhenfu; Mignotte, Maurice
21
2001
Catalan’s equation just before 2000. Zbl 1065.11019
Mignotte, Maurice
6
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
7
2000
Pethő’s cubics. Zbl 0960.11020
Mignotte, Maurice
4
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
28
1999
On integers with identical digits. Zbl 1033.11012
Bugeaud, Yann; Mignotte, Maurice
12
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 \(x^p-x=y^q-y\). Zbl 0949.11022
Mignotte, M.; Pethő, A.
4
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
Lower bounds for Catalan’s equation. (Minorations pour l’équation de Catalan.) Zbl 0887.11018
Mignotte, Maurice; Roy, Yves
4
1997
On the Diophantine equation \(D_1x^2+D_2^m=4y^n\). Zbl 1028.11019
Mignotte, M.
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
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.
12
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.
9
1996
A note on the equation \(ax^ n-by^ n=c\). Zbl 0861.11025
Mignotte, Maurice
9
1996
On the distribution of the roots of polynomials. Zbl 0867.26009
Amoroso, Francesco; Mignotte, Maurice
6
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
81
1995
On the distance between the roots of a polynomial. Zbl 0835.12002
Mignotte, Maurice
12
1995
A criterion on Catalan’s equation. Zbl 0829.11016
Mignotte, Maurice
5
1995
Catalan’s equation has no new solution with either exponent less than 10651. Zbl 0857.11012
Mignotte, Maurice; Roy, Yves
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
The root separation of polynomials and some applications. Zbl 0833.65044
Petković, M.; Mignotte, M.; Trajković, M.
1
1995
On the system of diophantine equations \(x^ 2 - 6y^ 2 = -5\) and \(x = 2z^ 2 -1\). Zbl 0849.11031
Mignotte, Maurice; Pethö, Attila
1
1995
On algebraic numbers of small height: Linear forms in one logarithm. Zbl 0801.11033
Mignotte, Maurice; Waldschmidt, Michel
10
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
1
1994
Verification of a conjecture of E. Thomas. Zbl 0780.11013
Mignotte, Maurice
25
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
30
1992
Remarque sur une question relative à des fonctions conjuguées. (Remark on a question on conjugate functions). Zbl 0773.31002
Mignotte, Maurice
7
1992
Sur l’équation de Catalan. (On Catalan’s equation). Zbl 0749.11025
Mignotte, Maurice
2
1992
On the product of the largest roots of a polynomial. Zbl 0756.65074
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.
11
1991
An inequality on the greatest roots of a polynomial. Zbl 0745.12001
Mignotte, M.
4
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
Arithmetical study of recurrence sequences. Zbl 0683.10010
Mignotte, M.; Tzanakis, N.
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
9
1989
Sur un théorème de M. Langevin. (On a theorem of M. Langevin). Zbl 0641.12003
Mignotte, Maurice
8
1989
Linear forms in two logarithms and Schneider’s method. II. Zbl 0642.10034
Mignotte, Maurice; Waldschmidt, Michel
6
1989
On mechanical quantifier elimination for elementary algebra and geometry. Zbl 0644.68051
Arnon, Dennis S.; Mignotte, Maurice
11
1988
An inequality about irreducible factors of integer polynomials. Zbl 0648.12002
Mignotte, Maurice
11
1988
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
Sur les entiers qui s’écrivent simplement en différentes bases. (On integers simply represented in different bases). Zbl 0668.10022
Mignotte, M.
1
1988
Suites récurrentes linéaires. Propriétés algébriques et arithmétiques. (Linear recurrent sequences. Algebraic and arithmetic properties). Zbl 0626.10008
Cerlienco, L.; Mignotte, M.; Piras, F.
19
1987
...and 43 more Documents
all top 5

Cited by 770 Authors

72 Luca, Florian
45 Mignotte, Maurice
40 Togbé, Alain
26 Bugeaud, Yann
22 Dubickas, Artūras
18 Bennett, Michael A.
17 Pethő, Attila
15 Le, Maohua
15 Ziegler, Volker
14 Siksek, Samir
13 Cipu, Mihai
12 He, Bo
12 Marques, Diego
11 Bravo, Jhon Jairo
11 Keskin, Refik
11 Pintér, Ákos
10 Fujita, Yasutsugu Fujita
10 Hajdu, Lajos
9 Gómez, Carlos Alexis
8 Ddamulira, Mahadi
8 Filipin, Alan
8 Miyazaki, Takafumi
8 Waldschmidt, Michel
7 Shparlinski, Igor E.
6 Hare, Kevin G.
6 Mihăilescu, Preda
6 Pink, István
6 Szalay, László
6 Tengely, Szabolcs
6 Tichy, Robert Franz
5 Bérczes, Attila
5 Dehmer, Matthias
5 Erduvan, Fatih
5 Götze, Friedrich W.
5 Heuberger, Clemens
5 Hirata-Kohno, Noriko
5 Panda, Gopal Krishna
5 Ruohonen, Keijo
5 Shi, Wujie
5 Tsigaridas, Elias P.
4 Akhtari, Shabnam
4 Bilu, Yuri F.
4 Budarina, Natalia Viktorovna
4 Chen, Imin
4 Chen, Zengqiang
4 Collins, George E.
4 Dujella, Andrej
4 Emiris, Ioannis Z.
4 Emmert-Streib, Frank
4 Fuchs, Clemens
4 Gómez Ruiz, Carlos Alexis
4 Kafle, Bir
4 Kaliada, Dzianis
4 Kondrat’ev, Anatoliĭ Semenovich
4 Mowshowitz, Abbe
4 Ouaknine, Joel O.
4 Patel, Vandita
4 Poulakis, Dimitrios
4 Pritsker, Igor E.
4 Rihane, Salah Eddine
4 Rout, Sudhansu Sekhar
4 Scott, Reese
4 Sha, Min
4 Şiar, Zafer
4 Soydan, Gokhan
4 Stănică, Pantelimon
4 Ştefănescu, Doru
4 Styer, Robert Alan
4 Tzanakis, Nikos
4 Wakabayashi, Isao
4 Worrell, James B.
3 Abu Muriefah, Fadwa S.
3 Adegbindin, Chèfiath Awero
3 Arnon, Dennis S.
3 Becker, Paul-Georg
3 Bertók, Csanád
3 Bézivin, Jean-Paul
3 Billerey, Nicolas
3 Blondel, Vincent D.
3 Bonciocat, Nicolae Ciprian
3 Borwein, Peter Benjamin
3 Bourgain, Jean
3 Chen, Jianhua
3 Corvaja, Pietro
3 Davenport, James Harold
3 de Weger, Benjamin M. M.
3 Diaz, Guy
3 Dieulefait, Luis Victor
3 Evertse, Jan-Hendrik
3 Freitas, Nuno
3 Fu, Ruiqin
3 Furter, Jean-Philippe
3 Gallegos-Ruiz, Homero R.
3 Garaev, Moubariz Z.
3 Gómez, Jhonny C.
3 Gonzalez-Vega, Laureano
3 Győry, Kálmán
3 Hata, Masayoshi
3 Heintz, Joos
3 Hernández Hernández, Santos
...and 670 more Authors
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Cited in 182 Serials

92 Journal of Number Theory
53 Journal of Symbolic Computation
38 Mathematics of Computation
36 Journal de Théorie des Nombres de Bordeaux
28 International Journal of Number Theory
22 Monatshefte für Mathematik
22 Theoretical Computer Science
16 Rocky Mountain Journal of Mathematics
15 Periodica Mathematica Hungarica
14 Lithuanian Mathematical Journal
13 Proceedings of the American Mathematical Society
13 Transactions of the American Mathematical Society
13 Indagationes Mathematicae. New Series
11 Proceedings of the Japan Academy. Series A
10 Bulletin of the Australian Mathematical Society
10 The Ramanujan Journal
9 Journal of Pure and Applied Algebra
9 Boletín de la Sociedad Matemática Mexicana. Third Series
9 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
8 Acta Arithmetica
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
7 Compositio Mathematica
7 Mathematika
7 Journal of Integer Sequences
6 Annales de l’Institut Fourier
6 Archiv der Mathematik
6 Bulletin de la Société Mathématique de France
6 Functiones et Approximatio. Commentarii Mathematici
6 Journal of Mathematical Sciences (New York)
5 Mathematical Proceedings of the Cambridge Philosophical Society
5 Applied Mathematics and Computation
5 Journal für die Reine und Angewandte Mathematik
5 RAIRO. Informatique Théorique et Applications
5 Integers
4 Mathematical Notes
4 Inventiones Mathematicae
4 Journal of Algebra
4 Quaestiones Mathematicae
4 Results in Mathematics
4 Turkish Journal of Mathematics
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Bulletin of the Brazilian Mathematical Society. New Series
4 Proceedings of the Steklov Institute of Mathematics
4 Research in Number Theory
3 American Mathematical Monthly
3 Computers & Mathematics with Applications
3 Discrete Applied Mathematics
3 Discrete Mathematics
3 Information Processing Letters
3 Manuscripta Mathematica
3 Mathematische Annalen
3 Tokyo Journal of Mathematics
3 Acta Mathematica Hungarica
3 International Journal of Algebra and Computation
3 Experimental Mathematics
3 Theory of Computing Systems
3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
3 Communications in Mathematics
2 Indian Journal of Pure & Applied Mathematics
2 Journal d’Analyse Mathématique
2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
2 Advances in Mathematics
2 Duke Mathematical Journal
2 Information Sciences
2 Journal of Computer and System Sciences
2 Mathematische Zeitschrift
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 Rendiconti del Seminario Matematico della Università di Padova
2 Bulletin of the Iranian Mathematical Society
2 Journal of Complexity
2 Journal of Automated Reasoning
2 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série
2 Computational Geometry
2 Linear Algebra and its Applications
2 Bulletin of the American Mathematical Society. New Series
2 Finite Fields and their Applications
2 The New York Journal of Mathematics
2 Bulletin des Sciences Mathématiques
2 Acta Mathematica et Informatica Universitatis Ostraviensis
2 Honam Mathematical Journal
2 LMS Journal of Computation and Mathematics
2 Journal of the Australian Mathematical Society
2 Mediterranean Journal of Mathematics
2 Involve
2 Science China. Mathematics
1 Acta Mathematica Academiae Scientiarum Hungaricae
1 Analysis Mathematica
1 Artificial Intelligence
1 Communications in Algebra
1 Israel Journal of Mathematics
1 Journal of Mathematical Analysis and Applications
1 Journal of Statistical Physics
1 Ukrainian Mathematical Journal
1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
1 Journal of Geometry and Physics
1 Algebra and Logic
1 Automatica
...and 82 more Serials
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Cited in 45 Fields

619 Number theory (11-XX)
102 Computer science (68-XX)
77 Field theory and polynomials (12-XX)
42 Numerical analysis (65-XX)
37 Algebraic geometry (14-XX)
37 Functions of a complex variable (30-XX)
31 Group theory and generalizations (20-XX)
27 Combinatorics (05-XX)
25 Commutative algebra (13-XX)
23 Real functions (26-XX)
17 Mathematical logic and foundations (03-XX)
11 Dynamical systems and ergodic theory (37-XX)
9 Linear and multilinear algebra; matrix theory (15-XX)
8 Harmonic analysis on Euclidean spaces (42-XX)
7 Special functions (33-XX)
7 Information and communication theory, circuits (94-XX)
6 Operations research, mathematical programming (90-XX)
5 Ordinary differential equations (34-XX)
4 Potential theory (31-XX)
4 Probability theory and stochastic processes (60-XX)
3 Associative rings and algebras (16-XX)
3 Convex and discrete geometry (52-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 General and overarching topics; collections (00-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Sequences, series, summability (40-XX)
2 Approximations and expansions (41-XX)
2 Operator theory (47-XX)
2 Geometry (51-XX)
2 Statistics (62-XX)
2 Systems theory; control (93-XX)
1 History and biography (01-XX)
1 Nonassociative rings and algebras (17-XX)
1 Topological groups, Lie groups (22-XX)
1 Measure and integration (28-XX)
1 Partial differential equations (35-XX)
1 Difference and functional equations (39-XX)
1 Abstract harmonic analysis (43-XX)
1 Integral transforms, operational calculus (44-XX)
1 Differential geometry (53-XX)
1 Algebraic topology (55-XX)
1 Manifolds and cell complexes (57-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Mechanics of particles and systems (70-XX)
1 Statistical mechanics, structure of matter (82-XX)

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