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Tzanakis, Nikos

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Author ID: tzanakis.nikos Recent zbMATH articles by "Tzanakis, Nikos"
Published as: Tzanakis, N.; Tzanakis, Nikos; Tzanakis, Nicholas; Tzanakis, Nikolaos
Documents Indexed: 42 Publications since 1982, including 1 Book
Reviewing Activity: 143 Reviews

Publications by Year

Citations contained in zbMATH Open

36 Publications have been cited 288 times in 186 Documents Cited by Year
On the practical solution of the Thue equation. Zbl 0657.10014
Tzanakis, N.; de Weger, B. M. M.
56
1989
Solving elliptic diophantine equations by estimating linear forms in elliptic logarithms. Zbl 0805.11026
Stroeker, R. J.; Tzanakis, N.
31
1994
How to explicitly solve a Thue-Mahler equation. Zbl 0773.11023
Tzanakis, N.; de Weger, B. M. M.
25
1992
Integral points in arithmetic progression on \(y^2= x(x^2-n^2)\). Zbl 1009.11035
Bremner, A.; Silverman, J. H.; Tzanakis, N.
19
2000
Solving elliptic diophantine equations by estimating linear forms in elliptic logarithms. The case of quartic equations. Zbl 0858.11016
Tzanakis, N.
16
1996
Computing all integer solutions of a genus 1 equation. Zbl 1089.11019
Stroeker, R. J.; Tzanakis, N.
14
2003
On the elliptic logarithm method for elliptic Diophantine equations: reflections and an improvement. Zbl 0979.11060
Stroeker, Roel J.; Tzanakis, Nikos
12
1999
On a family of cubics. Zbl 0734.11025
Mignotte, M.; Tzanakis, N.
11
1991
Simplifying the solution of Ljunggren’s equation \(x^ 2+1=2y^ 4\). Zbl 0716.11016
Steiner, Ray; Tzanakis, Nikos
9
1991
The diophantine equation \(x^ 2=4q^{a/2}+4q+1\), with an application to coding theory. Zbl 0612.10013
Tzanakis, Nikos; Wolfskill, John
8
1987
Explicit solution of a class of quartic Thue equations. Zbl 0774.11014
Tzanakis, Nikos
7
1993
Lucas sequences whose 12th or 9th term is a square. Zbl 1059.11015
Bremner, A.; Tzanakis, N.
7
2004
On the Diophantine equation \(y^2=4q^n+4q+1\). Zbl 0586.10011
Tzanakis, Nikos; Wolfskill, John
7
1986
On sums of consecutive squares. Zbl 0876.11024
Bremner, A.; Stroeker, R. J.; Tzanakis, N.
6
1997
On the Diophantine equation \(x^2+5^a\cdot 11^b=y^n\). Zbl 1237.11019
Demirci, Musa; Cangül, İsmail Naci; Soydan, Gökhan; Tzanakis, Nikos
6
2010
On the application of Skolem’s p-adic method to the solution of Thue equations. Zbl 0674.10012
Stroeker, R. J.; Tzanakis, N.
6
1988
Solving a specific Thue-Mahler equation. Zbl 0738.11029
Tzanakis, N.; de Weger, B. M. M.
5
1991
Integral points of a modular curve of level 11. Zbl 1292.11057
Schoof, René; Tzanakis, Nikos
4
2012
On squares in Lucas sequences. Zbl 1124.11013
Bremner, A.; Tzanakis, N.
4
2007
On the diophantine equation \(x^ 2-Dy^ 4=k\). Zbl 0543.10017
Tzanakis, Nikos
4
1986
Arithmetical study of recurrence sequences. Zbl 0683.10010
Mignotte, M.; Tzanakis, N.
4
1991
Lucas sequences whose \(n\)th term is a square or an almost square. Zbl 1109.11022
Bremner, A.; Tzanakis, N.
3
2007
Effective solution of two simultaneous Pell equations by the elliptic logarithm method. Zbl 1003.11064
Tzanakis, N.
3
2002
On the practical solution of the Thue-Mahler equation. Zbl 0738.11030
Tzanakis, N.; de Weger, B. M. M.
3
1991
Elliptic Diophantine equations. A concrete approach via the elliptic logarithm. Zbl 1311.11023
Tzanakis, Nikos
3
2013
Computing all integer solutions of a general elliptic equation. Zbl 0991.11071
Stroeker, Roel J.; Tzanakis, Nikolaos
2
2000
On \(px^{2}+q^{2n}=y^{p}\) and related Diophantine equations. Zbl 1229.11055
Laradji, A.; Mignotte, M.; Tzanakis, N.
2
2011
On the Diophantine equation \(y^2-D=2^k\). Zbl 0515.10016
Tzanakis, Nicholas
2
1983
The diophantine equation \(x^3-3xy^2-y^3=1\) and related equations. Zbl 0552.10008
Tzanakis, Nicholas
2
1984
Elementary trigonometric sums related to quadratic residues. Zbl 1252.11058
Laradji, Abdallah; Mignotte, Maurice; Tzanakis, Nikos
1
2012
Corrections to “How to explicitly solve a Thue-Mahler equation”. Zbl 0791.11011
Tzanakis, N.; de Weger, B. M. M.
1
1993
The complete solution in integers of \(x^ 3+3y^ 3=2^ n\). Zbl 0543.10016
Tzanakis, Nicholas
1
1984
Integer points on \(y^2=x^3-7x+10\). Zbl 0554.10007
Bremner, Andrew; Tzanakis, Nicholas
1
1983
Corrigendum and addendum: On a family of cubics. Zbl 0763.11011
Mignotte, M.; Tzanakis, N.
1
1992
On the practical solution of the Thue equation - an outline. Zbl 0703.11013
Tzanakis, Nikos
1
1990
On the equation \(Y^2=X^6+k\). Zbl 1270.11029
Bremner, Andrew; Tzanakis, Nikos
1
2011
Elliptic Diophantine equations. A concrete approach via the elliptic logarithm. Zbl 1311.11023
Tzanakis, Nikos
3
2013
Integral points of a modular curve of level 11. Zbl 1292.11057
Schoof, René; Tzanakis, Nikos
4
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
On the equation \(Y^2=X^6+k\). Zbl 1270.11029
Bremner, Andrew; Tzanakis, Nikos
1
2011
On the Diophantine equation \(x^2+5^a\cdot 11^b=y^n\). Zbl 1237.11019
Demirci, Musa; Cangül, İsmail Naci; Soydan, Gökhan; Tzanakis, Nikos
6
2010
On squares in Lucas sequences. Zbl 1124.11013
Bremner, A.; Tzanakis, N.
4
2007
Lucas sequences whose \(n\)th term is a square or an almost square. Zbl 1109.11022
Bremner, A.; Tzanakis, N.
3
2007
Lucas sequences whose 12th or 9th term is a square. Zbl 1059.11015
Bremner, A.; Tzanakis, N.
7
2004
Computing all integer solutions of a genus 1 equation. Zbl 1089.11019
Stroeker, R. J.; Tzanakis, N.
14
2003
Effective solution of two simultaneous Pell equations by the elliptic logarithm method. Zbl 1003.11064
Tzanakis, N.
3
2002
Integral points in arithmetic progression on \(y^2= x(x^2-n^2)\). Zbl 1009.11035
Bremner, A.; Silverman, J. H.; Tzanakis, N.
19
2000
Computing all integer solutions of a general elliptic equation. Zbl 0991.11071
Stroeker, Roel J.; Tzanakis, Nikolaos
2
2000
On the elliptic logarithm method for elliptic Diophantine equations: reflections and an improvement. Zbl 0979.11060
Stroeker, Roel J.; Tzanakis, Nikos
12
1999
On sums of consecutive squares. Zbl 0876.11024
Bremner, A.; Stroeker, R. J.; Tzanakis, N.
6
1997
Solving elliptic diophantine equations by estimating linear forms in elliptic logarithms. The case of quartic equations. Zbl 0858.11016
Tzanakis, N.
16
1996
Solving elliptic diophantine equations by estimating linear forms in elliptic logarithms. Zbl 0805.11026
Stroeker, R. J.; Tzanakis, N.
31
1994
Explicit solution of a class of quartic Thue equations. Zbl 0774.11014
Tzanakis, Nikos
7
1993
Corrections to “How to explicitly solve a Thue-Mahler equation”. Zbl 0791.11011
Tzanakis, N.; de Weger, B. M. M.
1
1993
How to explicitly solve a Thue-Mahler equation. Zbl 0773.11023
Tzanakis, N.; de Weger, B. M. M.
25
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
Simplifying the solution of Ljunggren’s equation \(x^ 2+1=2y^ 4\). Zbl 0716.11016
Steiner, Ray; Tzanakis, Nikos
9
1991
Solving a specific Thue-Mahler equation. Zbl 0738.11029
Tzanakis, N.; de Weger, B. M. M.
5
1991
Arithmetical study of recurrence sequences. Zbl 0683.10010
Mignotte, M.; Tzanakis, N.
4
1991
On the practical solution of the Thue-Mahler equation. Zbl 0738.11030
Tzanakis, N.; de Weger, B. M. M.
3
1991
On the practical solution of the Thue equation - an outline. Zbl 0703.11013
Tzanakis, Nikos
1
1990
On the practical solution of the Thue equation. Zbl 0657.10014
Tzanakis, N.; de Weger, B. M. M.
56
1989
On the application of Skolem’s p-adic method to the solution of Thue equations. Zbl 0674.10012
Stroeker, R. J.; Tzanakis, N.
6
1988
The diophantine equation \(x^ 2=4q^{a/2}+4q+1\), with an application to coding theory. Zbl 0612.10013
Tzanakis, Nikos; Wolfskill, John
8
1987
On the Diophantine equation \(y^2=4q^n+4q+1\). Zbl 0586.10011
Tzanakis, Nikos; Wolfskill, John
7
1986
On the diophantine equation \(x^ 2-Dy^ 4=k\). Zbl 0543.10017
Tzanakis, Nikos
4
1986
The diophantine equation \(x^3-3xy^2-y^3=1\) and related equations. Zbl 0552.10008
Tzanakis, Nicholas
2
1984
The complete solution in integers of \(x^ 3+3y^ 3=2^ n\). Zbl 0543.10016
Tzanakis, Nicholas
1
1984
On the Diophantine equation \(y^2-D=2^k\). Zbl 0515.10016
Tzanakis, Nicholas
2
1983
Integer points on \(y^2=x^3-7x+10\). Zbl 0554.10007
Bremner, Andrew; Tzanakis, Nicholas
1
1983
all top 5

Cited by 186 Authors

18 Tzanakis, Nikos
14 de Weger, Benjamin M. M.
11 Bennett, Michael A.
8 Stroeker, Roelof J.
6 Hajdu, Lajos
6 Mignotte, Maurice
6 Ziegler, Volker
5 Pethő, Attila
5 Poulakis, Dimitrios
5 Tengely, Szabolcs
5 Togbé, Alain
4 Chen, Jianhua
4 Ingram, Patrick
4 Smart, Nigel P.
4 Soydan, Gokhan
4 Ulas, Maciej
3 Bremner, Andrew
3 Draziotis, Konstantinos A.
3 Everest, Graham Robert
3 He, Bo
3 Heuberger, Clemens
3 Karaatli, Olcay
3 Kovács, Tünde
3 Le, Maohua
3 Luca, Florian
3 Pink, István
3 Rouse, Jeremy A.
3 Zhu, Huilin
2 Cohn, John H. E.
2 Dąbrowski, Andrzej Bogdan
2 Dieulefait, Luis Victor
2 Filaseta, Michael A.
2 García-Selfa, Irene
2 Ghadermarzi, Amir
2 Gherga, Adela
2 Godinho, Hemar
2 González-Jiménez, Enrique
2 Jadrijević, Borka
2 Katsipis, Nikos
2 Keskin, Refik
2 Koutsianas, Angelos
2 Laishram, Shanta
2 Marques, Diego
2 Pintér, Ákos
2 Rábai, Zsolt
2 Rechnitzer, Andrew Daniel
2 Rout, Sudhansu Sekhar
2 Saradha, N.
2 Steiner, Ray Phillip
2 Tornero, José María
2 Voutier, Paul M.
2 Wakabayashi, Isao
2 Wolfskill, John
1 Abraham, Siby
1 Akhtari, Shabnam
1 Amdeberhan, Tewodros
1 Aubry, Yves
1 Bajolet, Aurélien
1 Balakrishnan, Jennifer S.
1 Bamberg, John
1 Baran, Burcu
1 Bauer, Mark L.
1 Bavencoffe, Edgard
1 Bennett, Curtis D.
1 Bensebaa, Boualem
1 Bérczes, Attila
1 Besser, Amnon
1 Bézivin, Jean-Paul
1 Billerey, Nicolas
1 Binegar, Skye
1 Blass, Jozef
1 Bosser, Vincent
1 Cangul, Ismail Naci
1 Caro, Yair
1 Chattopadhyay, Jaitra
1 Cheng, Teng
1 Chern, Shane
1 Cipu, Mihai
1 Dahmen, Sander R.
1 David, Sinnou
1 De Clerck, Frank
1 De Zeeuw, Frank
1 Demirci, Musa
1 Dolžan, David
1 Dominick, Randy
1 Dubickas, Artūras
1 Duchin, Moon
1 Durante, Nicola
1 Ennola, Veikko
1 Fu, Ruiqin
1 Gaál, István
1 Gallegos-Ruiz, Homero R.
1 Garbe, Frederik
1 Gaudron, Éric
1 Glass, Andrew M. W.
1 Goedhart, Eva G.
1 Graham, Sidney W.
1 Grundman, Helen G.
1 Günhan, Nursena
1 Hanrot, Guillaume
...and 86 more Authors
all top 5

Cited in 63 Serials

42 Journal of Number Theory
25 Mathematics of Computation
10 Rocky Mountain Journal of Mathematics
10 Journal de Théorie des Nombres de Bordeaux
8 International Journal of Number Theory
5 Periodica Mathematica Hungarica
5 Acta Arithmetica
4 Experimental Mathematics
3 Glasgow Mathematical Journal
3 Monatshefte für Mathematik
3 Proceedings of the American Mathematical Society
2 Bulletin of the Australian Mathematical Society
2 Indian Journal of Pure & Applied Mathematics
2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
2 Archiv der Mathematik
2 Compositio Mathematica
2 Czechoslovak Mathematical Journal
2 Proceedings of the Japan Academy. Series A
2 Transactions of the American Mathematical Society
2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2 The Ramanujan Journal
2 LMS Journal of Computation and Mathematics
2 Integers
2 Communications in Mathematics
1 Computers & Mathematics with Applications
1 Discrete Applied Mathematics
1 Discrete Mathematics
1 Journal d’Analyse Mathématique
1 Mathematical Notes
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Applied Mathematics and Computation
1 Functiones et Approximatio. Commentarii Mathematici
1 Journal of Statistical Planning and Inference
1 Manuscripta Mathematica
1 Mathematica Slovaca
1 Mathematische Zeitschrift
1 Mathematika
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Rendiconti del Seminario Matematico della Università di Padova
1 Results in Mathematics
1 Acta Mathematica Hungarica
1 Graphs and Combinatorics
1 Journal of Symbolic Computation
1 Designs, Codes and Cryptography
1 Elemente der Mathematik
1 Bulletin of the American Mathematical Society. New Series
1 Mémoires de la Société Mathématique de France. Nouvelle Série
1 Expositiones Mathematicae
1 Archive for Mathematical Logic
1 Indagationes Mathematicae. New Series
1 Applicable Algebra in Engineering, Communication and Computing
1 Journal of Combinatorial Designs
1 Acta Mathematica et Informatica Universitatis Ostraviensis
1 Wuhan University Journal of Natural Sciences (WUJNS)
1 Annals of Mathematics. Second Series
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Mediterranean Journal of Mathematics
1 Involve
1 Science China. Mathematics
1 Pacific Journal of Mathematics for Industry
1 Research in Number Theory
1 Bulletin of the Hellenic Mathematical Society

Citations by Year