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Author ID: voutier.paul-m Recent zbMATH articles by "Voutier, Paul M."
Published as: Voutier, Paul M.; Voutier, Paul; Voutier, P. M.
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

Publications by Year

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 0995.11010
Bilu, Yu.; Hanrot, G.; Voutier, P. M.
157
2001
Primitive divisors of Lucas and Lehmer sequences. Zbl 0832.11009
Voutier, Paul M.
31
1995
An effective lower bound for the height of algebraic numbers. Zbl 0838.11065
Voutier, Paul M.
29
1996
Simple families of Thue inequalities. Zbl 0920.11041
Lettl, 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 0869.11025
Chen, Jianhua; Voutier, Paul
26
1997
An upper bound for the size of integral solutions to \(Y^ m= f(X)\). Zbl 0842.11008
Voutier, Paul M.
15
1995
Solving a family of Thue equations with an application to the equation \(x^2-Dy^4=1\). Zbl 1155.11318
Togbé, A.; Voutier, P. M.; Walsh, P. G.
14
2005
Primitive divisors of Lucas and Lehmer sequences. III. Zbl 1032.11007
Voutier, Paul M.
9
1998
On the arithmetic of simplest sextic fields and related Thue equations. Zbl 0923.11053
Lettl, Günter; Pethő, Attila; Voutier, Paul
8
1998
Primitive divisors of certain elliptic divisibility sequences. Zbl 1281.11058
Voutier, Paul; Yabuta, Minoru
7
2012
Primitive divisors of Lucas and Lehmer sequences. II. Zbl 0873.11013
Voutier, Paul M.
4
1996
Thue’s Fundamental Theorem. I: The general case. Zbl 1292.11083
Voutier, Paul M.
4
2010
Indecomposable integers in real quadratic fields. Zbl 1445.11120
Tinková, Magdaléna; Voutier, Paul
3
2020
Lang’s conjecture and sharp height estimates for the elliptic curves \(y^2 = x^3 + ax\). Zbl 1304.11048
Voutier, Paul; Yabuta, Minoru
3
2013
Rational approximations to \(\root 3\of 2\) and other algebraic numbers revisited. Zbl 1120.11027
Voutier, Paul M.
2
2007
Families of periodic Jacobi-Perron algorithms for all period lengths. Zbl 1401.11011
Voutier, Paul
2
2016
A further note on “On the equation \(aX^4-bY^2=2\)”. Zbl 1211.11041
Voutier, P. M.
1
2009
Effective irrationality measures and approximation by algebraic conjugates. Zbl 1243.11081
Voutier, Paul M.
1
2011
Lang’s conjecture and sharp height estimates for the elliptic curves \(y^{2}=x^{3}+b\). Zbl 1348.11045
Voutier, Paul; Yabuta, Minoru
1
2016
Indecomposable integers in real quadratic fields. Zbl 1445.11120
Tinková, Magdaléna; Voutier, Paul
3
2020
Families of periodic Jacobi-Perron algorithms for all period lengths. Zbl 1401.11011
Voutier, Paul
2
2016
Lang’s conjecture and sharp height estimates for the elliptic curves \(y^{2}=x^{3}+b\). Zbl 1348.11045
Voutier, Paul; Yabuta, Minoru
1
2016
Lang’s conjecture and sharp height estimates for the elliptic curves \(y^2 = x^3 + ax\). Zbl 1304.11048
Voutier, Paul; Yabuta, Minoru
3
2013
Primitive divisors of certain elliptic divisibility sequences. Zbl 1281.11058
Voutier, Paul; Yabuta, Minoru
7
2012
Effective irrationality measures and approximation by algebraic conjugates. Zbl 1243.11081
Voutier, Paul M.
1
2011
Thue’s Fundamental Theorem. I: The general case. Zbl 1292.11083
Voutier, Paul M.
4
2010
A further note on “On the equation \(aX^4-bY^2=2\)”. Zbl 1211.11041
Voutier, P. M.
1
2009
Rational approximations to \(\root 3\of 2\) and other algebraic numbers revisited. Zbl 1120.11027
Voutier, Paul M.
2
2007
Solving a family of Thue equations with an application to the equation \(x^2-Dy^4=1\). Zbl 1155.11318
Togbé, 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 0995.11010
Bilu, Yu.; Hanrot, G.; Voutier, P. M.
157
2001
Simple families of Thue inequalities. Zbl 0920.11041
Lettl, Günter; Pethő, Attila; Voutier, Paul
28
1999
Primitive divisors of Lucas and Lehmer sequences. III. Zbl 1032.11007
Voutier, Paul M.
9
1998
On the arithmetic of simplest sextic fields and related Thue equations. Zbl 0923.11053
Lettl, 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 0869.11025
Chen, Jianhua; Voutier, Paul
26
1997
An effective lower bound for the height of algebraic numbers. Zbl 0838.11065
Voutier, Paul M.
29
1996
Primitive divisors of Lucas and Lehmer sequences. II. Zbl 0873.11013
Voutier, Paul M.
4
1996
Primitive divisors of Lucas and Lehmer sequences. Zbl 0832.11009
Voutier, Paul M.
31
1995
An upper bound for the size of integral solutions to \(Y^ m= f(X)\). Zbl 0842.11008
Voutier, Paul M.
15
1995
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

Citations by Year