Edit Profile (opens in new tab) Voutier, Paul M. Compute Distance To: Compute Author ID: voutier.paul-m Published as: Voutier, Paul M.; Voutier, Paul; Voutier, P. M. more...less External Links: MGP Documents Indexed: 24 Publications since 1995 Reviewing Activity: 5 Reviews Co-Authors: 10 Co-Authors with 11 Joint Publications 352 Co-Co-Authors all top 5 Co-Authors 13 single-authored 4 Yabuta, Minoru 2 Lettl, Günter Hermann Alexander 2 Pethő, Attila 1 Bilu, Yuri F. 1 Chen, Jianhua 1 Hanrot, Guillaume 1 Khémira, Samy 1 Mignotte, Maurice 1 Tinková, Magdaléna 1 Togbé, Alain 1 Walsh, Peter Gareth all top 5 Serials 7 Acta Arithmetica 7 Journal of Number Theory 2 Journal de Théorie des Nombres de Bordeaux 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Mathematics of Computation 1 Annales des Sciences Mathématiques du Québec 1 Journal für die Reine und Angewandte Mathematik 1 Monatshefte für Mathematik 1 Transactions of the American Mathematical Society 1 International Journal of Number Theory Fields 24 Number theory (11-XX) 2 Algebraic geometry (14-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 19 Publications have been cited 345 times in 265 Documents Cited by ▼ Year ▼ Existence of primitive divisors of Lucas and Lehmer numbers (with an appendix by M. Mignotte). Zbl 0995.11010Bilu, Yu.; Hanrot, G.; Voutier, P. M. 157 2001 Primitive divisors of Lucas and Lehmer sequences. Zbl 0832.11009Voutier, Paul M. 31 1995 An effective lower bound for the height of algebraic numbers. Zbl 0838.11065Voutier, Paul M. 29 1996 Simple families of Thue inequalities. Zbl 0920.11041Lettl, Günter; Pethő, Attila; Voutier, Paul 28 1999 Complete solution of the diophantine equation \(X^ 2+1=dY^ 4\) and a related family of quartic Thue equations. Zbl 0869.11025Chen, Jianhua; Voutier, Paul 26 1997 An upper bound for the size of integral solutions to \(Y^ m= f(X)\). Zbl 0842.11008Voutier, Paul M. 15 1995 Solving a family of Thue equations with an application to the equation \(x^2-Dy^4=1\). Zbl 1155.11318Togbé, A.; Voutier, P. M.; Walsh, P. G. 14 2005 Primitive divisors of Lucas and Lehmer sequences. III. Zbl 1032.11007Voutier, Paul M. 9 1998 On the arithmetic of simplest sextic fields and related Thue equations. Zbl 0923.11053Lettl, Günter; Pethő, Attila; Voutier, Paul 8 1998 Primitive divisors of certain elliptic divisibility sequences. Zbl 1281.11058Voutier, Paul; Yabuta, Minoru 7 2012 Primitive divisors of Lucas and Lehmer sequences. II. Zbl 0873.11013Voutier, Paul M. 4 1996 Thue’s Fundamental Theorem. I: The general case. Zbl 1292.11083Voutier, Paul M. 4 2010 Indecomposable integers in real quadratic fields. Zbl 1445.11120Tinková, Magdaléna; Voutier, Paul 3 2020 Lang’s conjecture and sharp height estimates for the elliptic curves \(y^2 = x^3 + ax\). Zbl 1304.11048Voutier, Paul; Yabuta, Minoru 3 2013 Rational approximations to \(\root 3\of 2\) and other algebraic numbers revisited. Zbl 1120.11027Voutier, Paul M. 2 2007 Families of periodic Jacobi-Perron algorithms for all period lengths. Zbl 1401.11011Voutier, Paul 2 2016 A further note on “On the equation \(aX^4-bY^2=2\)”. Zbl 1211.11041Voutier, P. M. 1 2009 Effective irrationality measures and approximation by algebraic conjugates. Zbl 1243.11081Voutier, Paul M. 1 2011 Lang’s conjecture and sharp height estimates for the elliptic curves \(y^{2}=x^{3}+b\). Zbl 1348.11045Voutier, Paul; Yabuta, Minoru 1 2016 Indecomposable integers in real quadratic fields. Zbl 1445.11120Tinková, Magdaléna; Voutier, Paul 3 2020 Families of periodic Jacobi-Perron algorithms for all period lengths. Zbl 1401.11011Voutier, Paul 2 2016 Lang’s conjecture and sharp height estimates for the elliptic curves \(y^{2}=x^{3}+b\). Zbl 1348.11045Voutier, Paul; Yabuta, Minoru 1 2016 Lang’s conjecture and sharp height estimates for the elliptic curves \(y^2 = x^3 + ax\). Zbl 1304.11048Voutier, Paul; Yabuta, Minoru 3 2013 Primitive divisors of certain elliptic divisibility sequences. Zbl 1281.11058Voutier, Paul; Yabuta, Minoru 7 2012 Effective irrationality measures and approximation by algebraic conjugates. Zbl 1243.11081Voutier, Paul M. 1 2011 Thue’s Fundamental Theorem. I: The general case. Zbl 1292.11083Voutier, Paul M. 4 2010 A further note on “On the equation \(aX^4-bY^2=2\)”. Zbl 1211.11041Voutier, P. M. 1 2009 Rational approximations to \(\root 3\of 2\) and other algebraic numbers revisited. Zbl 1120.11027Voutier, Paul M. 2 2007 Solving a family of Thue equations with an application to the equation \(x^2-Dy^4=1\). Zbl 1155.11318Togbé, A.; Voutier, P. M.; Walsh, P. G. 14 2005 Existence of primitive divisors of Lucas and Lehmer numbers (with an appendix by M. Mignotte). Zbl 0995.11010Bilu, Yu.; Hanrot, G.; Voutier, P. M. 157 2001 Simple families of Thue inequalities. Zbl 0920.11041Lettl, Günter; Pethő, Attila; Voutier, Paul 28 1999 Primitive divisors of Lucas and Lehmer sequences. III. Zbl 1032.11007Voutier, Paul M. 9 1998 On the arithmetic of simplest sextic fields and related Thue equations. Zbl 0923.11053Lettl, Günter; Pethő, Attila; Voutier, Paul 8 1998 Complete solution of the diophantine equation \(X^ 2+1=dY^ 4\) and a related family of quartic Thue equations. Zbl 0869.11025Chen, Jianhua; Voutier, Paul 26 1997 An effective lower bound for the height of algebraic numbers. Zbl 0838.11065Voutier, Paul M. 29 1996 Primitive divisors of Lucas and Lehmer sequences. II. Zbl 0873.11013Voutier, Paul M. 4 1996 Primitive divisors of Lucas and Lehmer sequences. Zbl 0832.11009Voutier, Paul M. 31 1995 An upper bound for the size of integral solutions to \(Y^ m= f(X)\). Zbl 0842.11008Voutier, Paul M. 15 1995 all cited Publications top 5 cited Publications all top 5 Cited by 287 Authors 33 Luca, Florian 10 Le, Maohua 9 Marques, Diego 8 Togbé, Alain 8 Voutier, Paul M. 8 Yuan, Pingzhi 6 Soydan, Gokhan 5 Patel, Vandita 5 Wakabayashi, Isao 5 Ziegler, Volker 4 Dubickas, Artūras 4 Fu, Ruiqin 4 Hajdu, Lajos 4 Heuberger, Clemens 4 Hoshi, Akinari 4 Ingram, Patrick 4 Jones, Lenny K. 4 Samuels, Charles L. 4 Stănică, Pantelimon 4 Yabuta, Minoru 4 Yang, Hai 4 Zhu, Huilin 3 Abu Muriefah, Fadwa S. 3 Akhtari, Shabnam 3 Bennett, Michael A. 3 Bugeaud, Yann 3 Chan, Tsz Ho 3 Fujita, Yasutsugu Fujita 3 Irmak, Nurettin 3 Jadrijević, Borka 3 Koutsianas, Angelos 3 Laishram, Shanta 3 Li, Xiaoxue 3 Mahé, Valéry 3 Pethő, Attila 3 Rhin, Georges 3 Silverman, Joseph Hillel 3 Tzanakis, Nikos 3 Walsh, Peter Gareth 3 Wang, Tingting 2 Argáez-García, Alejandro 2 Ballot, Christian 2 Bilu, Yuri F. 2 Bravo, Jhon Jairo 2 Broughan, Kevin A. 2 Chakraborty, Kalyan 2 Chen, Jianhua 2 Cipu, Mihai 2 David, Sinnou 2 Ddamulira, Mahadi 2 Demirci, Musa 2 Faye, Bernadette 2 Flatters, Anthony 2 Gaál, István 2 Gómez, Carlos Alexis 2 Gou, Su 2 He, Bo 2 Hoque, Azizul 2 Ismailescu, Dan P. 2 Ji, Qingzhong 2 Kala, Vítězslav 2 Larone, Jesse 2 Mignotte, Maurice 2 Moree, Pieter 2 Murty, Maruti Ram 2 Panda, Gopal Krishna 2 Pink, István 2 Pomerance, Carl Bernard 2 Poulakis, Dimitrios 2 Remete, László 2 Sahukar, Manasi Kumari 2 Saradha, N. 2 Scott, Reese 2 Sharma, Richa 2 Shorey, Tarlok Nath 2 Shparlinski, Igor E. 2 Sias, Mark 2 Siksek, Samir 2 Stewart, Cameron L. 2 Streng, Marco 2 Styer, Robert Alan 2 Szalay, László 2 Tengely, Szabolcs 2 Terai, Nobuhiro 2 Tichy, Robert Franz 2 Trojovský, Pavel 2 Wagner, Stephan G. 1 Ably, Mohammed 1 Abouzaid, Mourad 1 Adam, Brigitte 1 Akiyama, Shigeki 1 Alan, Murat 1 Alba González, Juan José 1 Alp, Murat 1 Amir, Malik 1 Amoroso, Francesco Antonio 1 Arif, S. Akhtar 1 Asthana, Shivangi 1 Bai, Hairong 1 Balakrishnan, Jennifer S. ...and 187 more Authors all top 5 Cited in 79 Serials 47 Journal of Number Theory 17 International Journal of Number Theory 14 Journal de Théorie des Nombres de Bordeaux 11 Periodica Mathematica Hungarica 11 The Ramanujan Journal 10 Mathematics of Computation 7 Bulletin of the Australian Mathematical Society 7 Acta Arithmetica 7 Functiones et Approximatio. Commentarii Mathematici 6 Rocky Mountain Journal of Mathematics 5 Czechoslovak Mathematical Journal 5 Proceedings of the American Mathematical Society 5 Indagationes Mathematicae. New Series 5 Journal of Integer Sequences 4 Proceedings of the Edinburgh Mathematical Society. Series II 4 Proceedings of the Japan Academy. Series A 3 Lithuanian Mathematical Journal 3 Acta Mathematica 3 Archiv der Mathematik 3 Glasgow Mathematical Journal 3 Monatshefte für Mathematik 3 Transactions of the American Mathematical Society 3 Acta Mathematica Hungarica 3 Turkish Journal of Mathematics 3 Acta Mathematica et Informatica Universitatis Ostraviensis 2 Indian Journal of Pure & Applied Mathematics 2 Mathematical Notes 2 International Journal of Mathematics and Mathematical Sciences 2 Journal of Algebra 2 Mathematische Annalen 2 Publications de l’Institut Mathématique. Nouvelle Série 2 Quaestiones Mathematicae 2 Results in Mathematics 2 Bulletin of the American Mathematical Society. New Series 2 Journal of Inequalities and Applications 2 Acta Mathematica Sinica. English Series 2 Portugaliae Mathematica. Nova Série 2 Science China. Mathematics 2 Communications in Mathematics 2 Annales Mathématiques du Québec 2 Research in Number Theory 1 American Mathematical Monthly 1 Israel Journal of Mathematics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Advances in Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Archivum Mathematicum 1 Bulletin of the London Mathematical Society 1 Colloquium Mathematicum 1 Demonstratio Mathematica 1 Illinois Journal of Mathematics 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Mathematische Zeitschrift 1 Tokyo Journal of Mathematics 1 Journal of Symbolic Computation 1 Glasnik Matematički. Serija III 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Expositiones Mathematicae 1 Bulletin of the Polish Academy of Sciences, Mathematics 1 Filomat 1 Finite Fields and their Applications 1 Abstract and Applied Analysis 1 Annals of Mathematics. Second Series 1 Communications of the Korean Mathematical Society 1 Integers 1 Journal of the Australian Mathematical Society 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 JP Journal of Algebra, Number Theory and Applications 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Advances in Difference Equations 1 Applicable Analysis and Discrete Mathematics 1 Cryptography and Communications 1 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Afrika Matematika 1 AIMS Mathematics all top 5 Cited in 15 Fields 256 Number theory (11-XX) 9 Algebraic geometry (14-XX) 7 Field theory and polynomials (12-XX) 7 Group theory and generalizations (20-XX) 5 Dynamical systems and ergodic theory (37-XX) 3 Combinatorics (05-XX) 3 Functions of a complex variable (30-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year