Maurice Mignotte

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All published works

Action	Title	Year	Authors
+	Diophantine triples with three parameters	2024	Mihai Cipu Yasutsugu Fujita Maurice Mignotte
+ PDF Chat	A kit for linear forms in three logarithms	2023	Maurice Mignotte Paul Voutier
+	Apollonius circles and the number of irreducible factors of polynomials	2023	Anca Iuliana Bonciocat Nicolae Ciprian Bonciocat Yann Bugeaud Mihai Cipu Maurice Mignotte
+	Sur la hauteur des puissances d'un polynôme à coefficients entiers	2023	Mihai Cipu Gérard Kientega Maurice Mignotte Salifou Nikiema
+ PDF Chat	There is no Diophantine D(−1)$D(-1)$‐quadruple	2022	Nicolae Ciprian Bonciocat Mihai Cipu Maurice Mignotte
+	A kit for linear forms in three logarithms	2022	Maurice Mignotte Paul Voutier
+	There is no Diophantine $D(-1)$--quadruple.	2020	Nicolae Ciprian Bonciocat Mihai Cipu Maurice Mignotte
+ PDF Chat	La première méthode générale de factorisation des polynômes. Autour d'un mémoire de F.T. Schubert	2018	Maurice Mignotte Doru Ştefănescu
+ PDF Chat	Two-parameter families of uniquely extendable Diophantine triples	2017	Mihai Cipu Yasutsugu Fujita Maurice Mignotte
+	Two-parameter families of uniquely extendable Diophantine triples	2016	Mihai Cipu Yasutsugu Fujita Maurice Mignotte
+	Irreducibility criteria for compositions of polynomials with integer coefficients	2016	Nicolae Ciprian Bonciocat Yann Bugeaud Mihai Cipu Maurice Mignotte
+	Classical and modular approaches to exponential Diophantine equations	2016	Yann Bugeaud Maurice Mignotte Samir Siksek
+	Two-parameter families of uniquely extendable Diophantine triples	2016	Mihai Cipu Yasutsugu Fujita Maurice Mignotte
+	Irreducibility criteria for sums of two relatively prime multivariate polynomials	2015	Nicolae Ciprian Bonciocat Yann Bugeaud Mihai Cipu Maurice Mignotte
+ PDF Chat	Shifted powers in binary recurrence sequences	2015	Michael A. Bennett Sander R. Dahmen Maurice Mignotte Samir Siksek
+	The Problem of Catalan	2014	Yuri Bilu Yann Bugeaud Maurice Mignotte
+	Higher Divisibility Theorems	2014	Yuri Bilu Yann Bugeaud Maurice Mignotte
+	Dirichlet L-Series and Class Number Formulas	2014	Yuri Bilu Yann Bugeaud Maurice Mignotte
+	Selmer Group and Proof of Catalan’s Conjecture	2014	Yuri Bilu Yann Bugeaud Maurice Mignotte
+	Baker’s Method and Tijdeman’s Argument	2014	Yuri Bilu Yann Bugeaud Maurice Mignotte
+	The Real Part of Mihăilescu’s Ideal	2014	Yuri Bilu Yann Bugeaud Maurice Mignotte
+	The Problem of Catalan	2014	Yuri Bilu Yann Bugeaud Maurice Mignotte
+	Even Exponents	2014	Yuri Bilu Yann Bugeaud Maurice Mignotte
+	Cyclotomic Fields	2014	Yuri Bilu Yann Bugeaud Maurice Mignotte
+	Gauss Sums and Stickelberger’s Theorem	2014	Yuri Bilu Yann Bugeaud Maurice Mignotte
+	Cassels’ Relations	2014	Yuri Bilu Yann Bugeaud Maurice Mignotte
+	Cyclotomic Units	2014	Yuri Bilu Yann Bugeaud Maurice Mignotte
+ PDF Chat	Perfect powers with few binary digits and related Diophantine problems	2013	Michael A. Bennett Yann Bugeaud Maurice Mignotte
+	On the representation of Fibonacci and Lucas numbers in an integer base	2013	Yann Bugeaud Mihai Cipu Maurice Mignotte
+ PDF Chat	IRREDUCIBILITY CRITERIA FOR SUMS OF TWO RELATIVELY PRIME POLYNOMIALS	2013	Nicolae Ciprian Bonciocat Yann Bugeaud Mihai Cipu Maurice Mignotte
+ PDF Chat	Some Pólya-Type Irreducibility Criteria for Multivariate Polynomials	2012	Nicolae Ciprian Bonciocat Yann Bugeaud Mihai Cipu Maurice Mignotte
+ PDF Chat	Perfect powers with few binary digits and related Diophantine problems, II	2012	Michael A. Bennett Yann Bugeaud Maurice Mignotte
+ PDF Chat	Elementary Trigonometric Sums related to Quadratic Residues	2012	A. Laradji Maurice Mignotte Nikos Tzanakis
+	Une Propriete Arithmetique des Suites Recurrentes Lineaires D'Ordre Trois	2012	Oumar Fall Oumar Diankha Maurice Mignotte Mamadou Sangharé
+	Testing degenerate polynomials	2011	Mihai Cipu Ismaïla Diouf Maurice Mignotte
+	On the size of the intersection of two Lucas sequences of distinct type II	2011	Mihai Cipu Maurice Mignotte Alain Togbé
+	A Note on Addition Chains	2011	Maurice Mignotte Amadou Tall
+	POLYNOMIAL ROOT SEPARATION	2010	Yann Bugeaud Maurice Mignotte
+	Approximate polynomial <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mstyle mathvariant="normal"><mml:mi>gcd</mml:mi></mml:mstyle></mml:math>: Small degree and small height perturbations	2010	Joachim von zur Gathen Maurice Mignotte Igor E. Shparlinski
+	Bounds for counterexamples to Terai's conjecture	2010	Mihai Cipu Maurice Mignotte
+	Arithmetic properties of the integer part of the powers of an algebraic number	2009	Florian Luca Maurice Mignotte
+ PDF Chat	On a conjecture on exponential Diophantine equations	2009	Mihai Cipu Maurice Mignotte
+ PDF Chat	Integral points on hyperelliptic curves	2008	Yann Bugeaud Maurice Mignotte Samir Siksek Michael Stoll Szabolcs Tengely
+ PDF Chat	Fibonacci numbers at most one away from a perfect power	2008	Yann Bugeaud Florian Luca Maurice Mignotte Samir Siksek
+	A Multi-Frey Approach to Some Multi-Parameter Families of Diophantine Equations	2008	Yann Bugeaud Maurice Mignotte Samir Siksek
+ PDF Chat	SOLUTIONS OF THE DIOPHANTINE EQUATION <i>x</i><sup><i>y</i></sup>+<i>y</i><sup><i>z</i></sup>+<i>z</i><sup><i>x</i></sup>=<i>n</i>!	2008	Mihai Cipu Florian Luca Maurice Mignotte
+ PDF Chat	Almost powers in the Lucas sequence	2008	Yann Bugeaud Florian Luca Maurice Mignotte Samir Siksek
+ PDF Chat	A Multi-Frey Approach to Some Multi-Parameter Families of Diophantine Equations	2008	Yann Bugeaud Maurice Mignotte Samir Siksek
+ PDF Chat	ON THE FAMILY OF DIOPHANTINE TRIPLES {<i>k</i>− 1,<i>k</i>+ 1, 16<i>k</i><sup>3</sup>− 4<i>k</i>}	2007	Yann Bugeaud Andrej Dujella Maurice Mignotte
+ PDF Chat	Perfect powers from products of terms in Lucas sequences	2007	Yann Bugeaud Florian Luca Maurice Mignotte Samir Siksek
+	On the number of solutions to systems of Pell equations	2007	Mihai Cipu Maurice Mignotte
+ PDF Chat	The Collatz Problem and Its Generalizations: Experimental Data. Table 1. Primitive Cycles of $(3n+d)-$mappings.	2006	Edward G. Belaga Maurice Mignotte
+ PDF Chat	Classical and modular approaches to exponential Diophantine equations I. Fibonacci and Lucas perfect powers	2006	Yann Bugeaud Maurice Mignotte Samir Siksek
+	On the number of solutions of simultaneous Pell equations	2006	Mihai Cipu Maurice Mignotte
+ PDF Chat	On the number of solutions of simultaneous Pell equations II	2006	Michael A. Bennett Mihai Cipu Maurice Mignotte Ryotaro Okazaki
+ PDF Chat	Walking Cautiously Into the Collatz Wilderness: Algorithmically, Number Theoretically, Randomly	2006	Edward G. Belaga Maurice Mignotte
+ PDF Chat	The Collatz Problem and Its Generalizations: Experimental Data. Table 2. Factorization of Collatz Numbers $2^l-3^k$.	2006	Edward G. Belaga Maurice Mignotte
+ PDF Chat	Classical and modular approaches to exponential Diophantine equations II. The Lebesgue–Nagell equation	2006	Yann Bugeaud Maurice Mignotte Samir Siksek
+ PDF Chat	On the number of solutions of simultaneous hyperbolic Diophantine equations	2006	Mihai Cipu Maurice Mignotte
+ PDF Chat	ON PERFECT POWERS IN LUCAS SEQUENCES	2005	Yann Bugeaud Florian Luca Maurice Mignotte Samir Siksek
+ PDF Chat	On Fibonacci numbers with few prime divisors	2005	Yann Bugeaud Florian Luca Maurice Mignotte Samir Siksek
+ PDF Chat	On Fibonacci numbers with few prime divisors	2005	Yann Bugeaud Florian Luca Maurice Mignotte Samir Siksek
+ PDF Chat	ON THE DISTANCE BETWEEN ROOTS OF INTEGER POLYNOMIALS	2004	Yann Bugeaud Maurice Mignotte
+ PDF Chat	Sur les nombres de Fibonacci de la forme <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:msup><mml:mi>q</mml:mi><mml:mi>k</mml:mi></mml:msup><mml:msup><mml:mi>y</mml:mi><mml:mi>p</mml:mi></mml:msup></mml:math>	2004	Yann Bugeaud Maurice Mignotte Samir Siksek
+	Classical and modular approaches to exponential Diophantine equations II. The Lebesgue-Nagell equation	2004	Yann Bugeaud Maurice Mignotte Samir Siksek
+	Die Catalansche Gleichung	2004	Maurice Mignotte
+	Classical and modular approaches to exponential Diophantine equations. I. Fibonacci and Lucas perfect powers	2004	Yann Bugeaud Maurice Mignotte Samir Siksek
+	Linear recurrent sequences and polynomial roots	2003	Maurice Mignotte D. M. Stefanescu
+	On an estimation of polynomial roots by Lagrange	2002	Maurice Mignotte D. M. Stefanescu
+	Sur L'équation Diophantienne (<i>x</i> <sup> <i>n</i> </sup> −1)/(<i>x</i> −1)=<i>y</i> <sup> <i>q</i> </sup> , III	2002	Yann Bugeaud Guillaume Hanrot Maurice Mignotte
+ PDF Chat	Estimates for Polynomial Roots	2001	Maurice Mignotte D. M. Stefanescu
+	On Simple K4-Groups	2001	Yann Bugeaud Zhenfu Cao Maurice Mignotte
+ PDF Chat	La Première Méthode Générale de Factorisation des Polynômes	2001	Maurice Mignotte D. M. Stefanescu
+ PDF Chat	Upper bounds for the coefficients of irreducible integer polynomials in several variables	2001	Francesco Amoroso Maurice Mignotte
+	Bounds for the Roots of Lacunary Polynomials	2000	Maurice Mignotte
+ PDF Chat	On the equation \ x^y\pm y^x=\prod n_i!	2000	Florian Luca Maurice Mignotte Y. Arun Roy
+	Applications of the representation of finite fields by matrices	2000	Eric Kern Maurice Mignotte
+ PDF Chat	On the Equation $y^x\pm x^y=z^2$	2000	Florian Luca Maurice Mignotte
+ PDF Chat	Estimates for polynomial roots.	2000	Maurice Mignotte D. M. Stefanescu
+	Pethő's cubics	2000	Maurice Mignotte
+ PDF Chat	On the Diophantine equation (x<sup>n</sup>- 1)/(x-1) = y<sup>q</sup>	2000	Yann Bugeaud Maurice Mignotte Y. Arun Roy
+ PDF Chat	Cyclic Structure of Dynamical Systems Associated with $3x+d$ Extensions of Collatz Problem	2000	Edward G. Belaga Maurice Mignotte
+	Une remarque sur l’équation de Catalan	1999	Maurice Mignotte
+	On integers with identical digits	1999	Yann Bugeaud Maurice Mignotte
+	Sur l'équation diophantienne	1999	Yann Bugeaud Maurice Mignotte
+ PDF Chat	On the roots of lacunary polynomials	1999	Maurice Mignotte D. M. Stefanescu
+	Complete resolution of some families of Diophantine equations	1998	Maurice Mignotte
+ PDF Chat	Embedding the 3x + 1 Conjecture in a 3x + d Context	1998	Edward G. Belaga Maurice Mignotte
+	Minorations pour l'équation de Catalan	1997	Maurice Mignotte Yves Roy
+	None	1997	Maurice Mignotte Yves Roy
+ PDF Chat	On the distribution on the roots of polynomials	1996	Francesco Amoroso Maurice Mignotte
+ PDF Chat	Complete solutions of a family of quartic Thue and index form equations	1996	Maurice Mignotte Attila Pethö Ralf Roth
+ PDF Chat	On the diophantine equations <i>x</i><sup>2</sup> + 74 = <i>y</i><sup>5</sup> and <i>x</i><sup>2</sup> + 86 = <i>y</i><sup>5</sup>	1996	Maurice Mignotte B.M.M. de Weger
+ PDF Chat	A note on the equation $ax^n - by^n = c$	1996	Maurice Mignotte
+	Formes linéaires en deux logarithmes et déterminants d′interpolation	1995	Laurent Michel Maurice Mignotte Yuri Valentinovich Nesterenko
+ PDF Chat	On the System of Diophantine Equations $x^2 - 6y^2 = -5$ and $x= 2z^2 - 1$.	1995	Maurice Mignotte Attila Pethő
+	On the distance between the roots of a polynomial	1995	Maurice Mignotte
+	On the Distance Between the Roots of a Polynomial	1995	Maurice Mignotte
+ PDF Chat	Catalan's Equation Has No New Solution with Either Exponent Less Than 10651	1995	Maurice Mignotte Yves Roy
+	Landau's Inequality via Hadamard's	1994	Maurice Mignotte Philippe Glesser
+ PDF Chat	Sur les carrés dans certaines suites de Lucas	1993	Maurice Mignotte Attila Pethő
+	On the product of the largest roots of a polynomial	1992	Maurice Mignotte
+	Polynomials with Complex Coefficients	1992	Maurice Mignotte
+	Mathematics for Computer Algebra	1992	Maurice Mignotte
+	Number Theory, Complements	1992	Maurice Mignotte
+	Elementary Arithmetics	1992	Maurice Mignotte
+	Polynômes et lemme de Siegel	1990	Maurice Mignotte
+ PDF Chat	Propriétés arithmétiques des suites récurrentes linéaires	1989	Maurice Mignotte
+ PDF Chat	Linear forms in two logarithms and Schneider's method. II	1989	Maurice Mignotte Michel Waldschmidt
+	Mathématiques pour le calcul formel	1989	Maurice Mignotte
+	An inequality about irreducible factors of integer polynomials	1988	Maurice Mignotte
+	On mechanical quantifier elimination for elementary algebra and geometry	1988	Dennis S. Arnon Maurice Mignotte
+ PDF Chat	Inequalities about factors of integer polynomials	1987	Maurice Mignotte
+ PDF Chat	Valeurs algébriques de fonctions analytiques	1986	François Gramain Maurice Mignotte Michel Waldschmidt
+	Estimation élémentaires effectives sur les nombres algébriques	1982	Maurice Mignotte
+	Some inequalities about univariate polynomials	1981	Maurice Mignotte
+	Tests de primalite	1980	Maurice Mignotte
+ PDF Chat	Tests for polynomials	1980	Maurice Mignotte
+ PDF Chat	Approximation des nombres algébriques par des nombres algébriques de grand degré	1979	Maurice Mignotte
+	Linear forms in two logarithms and Schneider's method	1978	Maurice Mignotte Michel Waldschmidt
+	Entiers algébriques dont les conjugués sont proches du cercle unité	1978	Maurice Mignotte
+	How to find algebraic integers whose conjugates lie near the unit circle	1978	Maurice Mignotte
+ PDF Chat	How to find algebraic integers whose conjugates lie near the unit circle?	1977	Maurice Mignotte
+	Correction to “A Characterization of Integers”	1977	Maurice Mignotte
+	Correction to "A Characterization of Integers"	1977	Maurice Mignotte
+	A Characterization of Integers	1977	Maurice Mignotte
+	An Application of W. Schmidt’s Theorem Transcendental Numbers and Golden Number	1977	Maurice Mignotte
+ PDF Chat	Calculs sur des suites récurrentes linéaires	1977	Maurice Mignotte
+	Approximation simultanée de valeurs de la fonction exponentielle	1977	Maurice Mignotte Michel Waldschmidt
+	Approximation des nombres algébriques	1977	Maurice Mignotte
+	Note sur la m�thode Bernoulli	1976	Maurice Mignotte
+ PDF Chat	On the separation of the roots of a polynomial (extended abstract)	1976	Maurice Mignotte
+	Algorithmes relatifs a la decomposition des polynomes	1976	Maurice Mignotte
+ PDF Chat	Sur la complexité de certains algorithmes où intervient la séparation des racines d'un polynôme	1976	Maurice Mignotte
+	Some problems about polynomials	1976	Maurice Mignotte
+	Approximation des nombres par certaines suites de rationnels	1976	Maurice Mignotte
+ PDF Chat	Deux propriétés décidables des suites récurrentes linéaires	1976	Jean Berstel Maurice Mignotte
+	Approximation des valeurs de fonctions transcendantes	1975	Maurice Mignotte Michel Waldschmidt
+	Approximation des nombres algébriques par certaines suites de rationnels	1975	Maurice Mignotte
+	Sur les facteurs premiers distincts d'entiers consécutifs	1975	Maurice Mignotte
+	Quelques remarques sur l'approximation rationnelle des nombres algébriques.	1974	Maurice Mignotte
+ PDF Chat	Approximations rationnelles de $\pi$ et quelques autres nombres	1974	Maurice Mignotte
+ PDF Chat	Démonstration probabiliste d'un lemme combinatoire pour l'approximation diophantienne des nombres algébriques	1974	Maurice Mignotte
+ PDF Chat	Conditions multiplicatives sur l'ensemble des valeurs d'un polynôme	1973	Maurice Mignotte
+	Approximations rationnelles du nombre $\pi $	1973	Maurice Mignotte
+ PDF Chat	Une généralisation d'un théorème de Cugiani-Mahler	1972	Maurice Mignotte
+	Critères d'irréductibilité des polynômes	1972	Maurice Mignotte
+	Approximations diophantiennes et nombres transcendants	1971	Maurice Mignotte

Common Coauthors

Coauthor	Papers Together
Yann Bugeaud	39
Mihai Cipu	22
Samir Siksek	16
Yuri Bilu	12
Florian Luca	10
Nicolae Ciprian Bonciocat	7
D. M. Stefanescu	6
Michel Waldschmidt	5
Edward G. Belaga	5
Yasutsugu Fujita	4
Yann Bugeaud	4
Attila Pethő	3
Michael A. Bennett	3
Yves Roy	3
Francesco Amoroso	2
Y. Arun Roy	2
Paul Voutier	2
Ismaïla Diouf	1
Guillaume Hanrot	1
Nikos Tzanakis	1
Eric Kern	1
Andrej Dujella	1
Oumar Fall	1
Laurent Michel	1
Doru Ştefănescu	1
François Gramain	1
B.M.M. de Weger	1
Yuri Valentinovich Nesterenko	1
Joachim von zur Gathen	1
Ryotaro Okazaki	1
Oumar Diankha	1
Michael Stoll	1
Sander R. Dahmen	1
Michael A. Bennett	1
Mamadou Sangharé	1
Amadou Tall	1
Zhenfu Cao	1
Salifou Nikiema	1
A. Laradji	1
Igor E. Shparlinski	1
Szabolcs Tengely	1
Anca Iuliana Bonciocat	1
Ralf Roth	1
Dennis S. Arnon	1
Gérard Kientega	1
Philippe Glesser	1
Alain Togbé	1
Jean Berstel	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	An explicit lower bound for a homogeneous rational linear form in logarithms of algebraic numbers	1998	E M Matveev	20
+	Formes linéaires en deux logarithmes et déterminants d′interpolation	1995	Laurent Michel Maurice Mignotte Yuri Valentinovich Nesterenko	15
+ PDF Chat	Linear forms in two logarithms and interpolation determinants II	2008	Laurent Michel	14
+	The Magma Algebra System I: The User Language	1997	Wieb Bosma John Cannon Catherine Playoust	13
+	An explicit lower bound for a homogeneous rational linear form in the logarithms of algebraic numbers. II	2000	E M Matveev	11
+ PDF Chat	Classical and modular approaches to exponential Diophantine equations I. Fibonacci and Lucas perfect powers	2006	Yann Bugeaud Maurice Mignotte Samir Siksek	11
+	Exponential Diophantine Equations	1986	T. N. Shorey R. Tijdeman	11
+ PDF Chat	Sur quelques théorèmes de M. Petrovitch relatifs aux zéros des fonctions analytiques	1905	Edmund Landau	10
+ PDF Chat	An inequality about factors of polynomials	1974	Max Mignotte	10
+	A generalization of a theorem of Baker and Davenport	1998	Andrej Dujella Attila Pethö	8
+	Minoration effective de la distancep-adique entre puissances de nombres algébriques	1996	Yann Bugeaud Laurent Michel	8
+ PDF Chat	THE EQUATIONS 3<i>x</i><sup>2</sup>−2 = <i>y</i><sup>2</sup> AND 8<i>x</i><sup>2</sup>−7 = <i>z</i><sup>2</sup>	1969	A. Baker H. Davenport	7
+	Polynomials with multiple zeros	1967	R. Güting	7
+ PDF Chat	Classical and modular approaches to exponential Diophantine equations II. The Lebesgue–Nagell equation	2006	Yann Bugeaud Maurice Mignotte Samir Siksek	7
+	Perfect powers in second order linear recurrences	1982	Attila Pethö	7
+	Rational approximation to algebraic numbers of small height: the Diophantine equation \|axn - byn\|= 1	2001	Michael A. Bennett	7
+	Logarithmic forms and group varieties.	1993	A. Baker Gisbert Wüstholz	6
+ PDF Chat	Simultaneous rational approximations and related diophantine equations	1993	John Rickert	6
+	On integers with identical digits	1999	Yann Bugeaud Maurice Mignotte	6
+	Modular Elliptic Curves and Fermat's Last Theorem	1995	Andrew Wiles	6
+ PDF Chat	Bounds for the solutions of Thue-Mahler equations and norm form equations	1996	Yann Bugeaud Kálmán Győry	6
+	On modular representations of $$(\bar Q/Q)$$ arising from modular forms	1990	Kenneth A. Ribet	6
+	On the modularity of elliptic curves over 𝐐: Wild 3-adic exercises	2001	Christophe Breuil Brian Conrad Fred Diamond Richard Taylor	6
+ PDF Chat	Winding quotients and some variants of Fermat's Last Theorem.	1997	Henri Darmon	6
+ PDF Chat	On the Diophantine equation $ax^{2t}+bx^ty+cy^2=d$ and pure powers in recurrence sequences.	1983	T. N. Shorey C. L. Stewart	6
+	Ring-Theoretic Properties of Certain Hecke Algebras	1995	Richard Taylor Andrew Wiles	6
+	Introduction to Cyclotomic Fields	1982	Lawrence C. Washington	6
+ PDF Chat	Ternary Diophantine Equations via Galois Representations and Modular Forms	2004	Michael A. Bennett Chris M. Skinner	6
+ PDF Chat	An inequality for the discriminant of a polynomial.	1964	K. Mahler	5
+	Linear forms in p-adic logarithms and the Diophantine equation formula here	1999	Yann Bugeaud	5
+ PDF Chat	Linear forms in the logarithms of three positive rational numbers	1997	Curtis D. Bennett Josef Blass A. M. W. Glass David Meronk Ray Steiner	5
+ PDF Chat	Linear forms in two logarithms and interpolation determinants	1994	Laurent Michel	5
+ PDF Chat	Bounds for the solutions of unit equations	1996	Yann Bugeaud Kálmán Győry	5
+ PDF Chat	Elementary and Analytic Theory of Algebraic Numbers	1991	Peter Shiu Władysław Narkiewicz	5
+	Rational isogenies of prime degree	1978	Barry Mazur Dorian Goldfeld	5
+	Sur une question de B. Mazur	1992	Alain Kraus Joseph Oesterl�	5
+ PDF Chat	An effective lower bound for the height of algebraic numbers	1996	Paul Voutier	5
+	Diophantine Approximation on Linear Algebraic Groups	2000	Michel Waldschmidt	5
+	Verallgemeinerung eines Polyaschen Satzes auf algebraische Zahlkörper	1918	Edmund Landau	5
+ PDF Chat	Minorations de Combinaisons Linéaires de Logarithmes de Nombres Algébriques	1993	Michel Waldschmidt	5
+ PDF Chat	On the number of solutions of simultaneous Pell equations	2002	Pingzhi Yuan	5
+	Catalan's conjecture	1994	Paulo Ribenboim	5
+ PDF Chat	On the equation of Catalan	1976	R. Tijdeman	5
+ PDF Chat	Lucas and fibonacci numbers and some diophantine Equations	1965	J. H. E. Cohn	5
+	On the Equation <i>a<sup>x</sup> − b<sup>y</sup></i> = 1. II	1960	J. W. S. Cassels	5
+ PDF Chat	Algorithms in Algebraic Number Theory	1992	H. W. Lenstra	5
+	Small Prime Powers in the Fibonacci Sequence	2001	James Mc Laughlin	4
+ PDF Chat	On the Diophantine Equation <i>n</i>(<i>n</i> + <i>d</i>) · · · (<i>n</i> + (<i>k</i> − 1)<i>d</i>) = <i>by</i><sup><i>l</i></sup>	2004	Kálmán Győry Lajos Hajdu N. Saradha	4
+	History of the Theory of Numbers	1919	L. E. Dickson	4
+	A Course in Computational Algebraic Number Theory	1993	Henri Cohen	4