Edit Profile (opens in new tab) Tzanakis, Nikos Co-Author Distance Author ID: tzanakis.nikos Published as: Tzanakis, N.; Tzanakis, Nikos; Tzanakis, Nicholas; Tzanakis, Nikolaos more...less Documents Indexed: 43 Publications since 1982, including 1 Book Reviewing Activity: 154 Reviews Co-Authors: 17 Co-Authors with 31 Joint Publications 562 Co-Co-Authors all top 5 Co-Authors 12 single-authored 7 Bremner, Andrew 7 Mignotte, Maurice 6 Stroeker, Roelof J. 5 de Weger, Benjamin M. M. 2 Laradji, Abdallah 2 Soydan, Gokhan 2 Wolfskill, John 1 Buchmann, Johannes A. 1 Cangul, Ismail Naci 1 Das, Pranabesh 1 Demirci, Musa 1 Dey, Pallab Kanti 1 Győry, Kálmán 1 Koutsianas, Angelos 1 Schoof, René 1 Silverman, Joseph Hillel 1 Steiner, Ray Phillip all top 5 Serials 17 Journal of Number Theory 8 Acta Arithmetica 5 Mathematics of Computation 2 Compositio Mathematica 1 Annales des Sciences Mathématiques du Québec 1 Functiones et Approximatio. Commentarii Mathematici 1 Manuscripta Mathematica 1 Publicationes Mathematicae Debrecen 1 Elemente der Mathematik 1 Experimental Mathematics 1 Bulletin of the Hellenic Mathematical Society 1 De Gruyter Series in Discrete Mathematics and Applications Fields 43 Number theory (11-XX) 2 Algebraic geometry (14-XX) 2 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 39 Publications have been cited 364 times in 227 Documents Cited by ▼ Year ▼ On the practical solution of the Thue equation. Zbl 0657.10014Tzanakis, N.; de Weger, B. M. M. 72 1989 Solving elliptic diophantine equations by estimating linear forms in elliptic logarithms. Zbl 0805.11026Stroeker, R. J.; Tzanakis, N. 39 1994 How to explicitly solve a Thue-Mahler equation. Zbl 0773.11023Tzanakis, N.; de Weger, B. M. M. 33 1992 Solving elliptic diophantine equations by estimating linear forms in elliptic logarithms. The case of quartic equations. Zbl 0858.11016Tzanakis, N. 23 1996 Integral points in arithmetic progression on \(y^2= x(x^2-n^2)\). Zbl 1009.11035Bremner, A.; Silverman, J. H.; Tzanakis, N. 22 2000 Computing all integer solutions of a genus 1 equation. Zbl 1089.11019Stroeker, R. J.; Tzanakis, N. 17 2003 On a family of cubics. Zbl 0734.11025Mignotte, M.; Tzanakis, N. 14 1991 On the elliptic logarithm method for elliptic Diophantine equations: reflections and an improvement. Zbl 0979.11060Stroeker, Roel J.; Tzanakis, Nikos 13 1999 Simplifying the solution of Ljunggren’s equation \(x^ 2+1=2y^ 4\). Zbl 0716.11016Steiner, Ray; Tzanakis, Nikos 10 1991 Lucas sequences whose 12th or 9th term is a square. Zbl 1059.11015Bremner, A.; Tzanakis, N. 9 2004 The diophantine equation \(x^ 2=4q^{a/2}+4q+1\), with an application to coding theory. Zbl 0612.10013Tzanakis, Nikos; Wolfskill, John 9 1987 Explicit solution of a class of quartic Thue equations. Zbl 0774.11014Tzanakis, Nikos 8 1993 On the application of Skolem’s p-adic method to the solution of Thue equations. Zbl 0674.10012Stroeker, R. J.; Tzanakis, N. 8 1988 On the Diophantine equation \(x^2+5^a\cdot 11^b=y^n\). Zbl 1237.11019Demirci, Musa; Cangül, İsmail Naci; Soydan, Gökhan; Tzanakis, Nikos 8 2010 Solving a specific Thue-Mahler equation. Zbl 0738.11029Tzanakis, N.; de Weger, B. M. M. 7 1991 On the Diophantine equation \(y^2=4q^n+4q+1\). Zbl 0586.10011Tzanakis, Nikos; Wolfskill, John 7 1986 On the diophantine equation \(x^ 2-Dy^ 4=k\). Zbl 0543.10017Tzanakis, Nikos 6 1986 On sums of consecutive squares. Zbl 0876.11024Bremner, A.; Stroeker, R. J.; Tzanakis, N. 6 1997 Elliptic Diophantine equations. A concrete approach via the elliptic logarithm. Zbl 1311.11023Tzanakis, Nikos 5 2013 Arithmetical study of recurrence sequences. Zbl 0683.10010Mignotte, M.; Tzanakis, N. 5 1991 Integral points of a modular curve of level 11. Zbl 1292.11057Schoof, René; Tzanakis, Nikos 5 2012 On squares in Lucas sequences. Zbl 1124.11013Bremner, A.; Tzanakis, N. 5 2007 The diophantine equation \(x^3 - 3xy^2 - y^3 = 1\) and related equations. Zbl 0552.10008Tzanakis, Nicholas 4 1984 Lucas sequences whose \(n\)th term is a square or an almost square. Zbl 1109.11022Bremner, A.; Tzanakis, N. 4 2007 On the practical solution of the Thue-Mahler equation. Zbl 0738.11030Tzanakis, N.; de Weger, B. M. M. 3 1991 On the Diophantine equation \(y^2-D=2^k\). Zbl 0515.10016Tzanakis, Nicholas 3 1983 Effective solution of two simultaneous Pell equations by the elliptic logarithm method. Zbl 1003.11064Tzanakis, N. 3 2002 On \(px^{2}+q^{2n}=y^{p}\) and related Diophantine equations. Zbl 1229.11055Laradji, A.; Mignotte, M.; Tzanakis, N. 2 2011 Computing all integer solutions of a general elliptic equation. Zbl 0991.11071Stroeker, Roel J.; Tzanakis, Nikolaos 2 2000 On the equation \(Y^2=X^6+k\). Zbl 1270.11029Bremner, Andrew; Tzanakis, Nikos 2 2011 Complete solution of the Diophantine equation \(x^2+5^a\cdot 11^b = y^n\). Zbl 1425.11059Soydan, G.; Tzanakis, N. 2 2016 Corrigendum and addendum: On a family of cubics. Zbl 0763.11011Mignotte, M.; Tzanakis, N. 1 1992 The complete solution in integers of \(x^ 3+3y^ 3=2^ n\). Zbl 0543.10016Tzanakis, Nicholas 1 1984 Integer points on \(y^2=x^3-7x+10\). Zbl 0554.10007Bremner, Andrew; Tzanakis, Nicholas 1 1983 On the diophantine equation \(2x^ 3+1=py^ 2\). Zbl 0588.10017Tzanakis, Nicholas 1 1985 Corrections to “How to explicitly solve a Thue-Mahler equation”. Zbl 0791.11011Tzanakis, N.; de Weger, B. M. M. 1 1993 On the practical solution of the Thue equation - an outline. Zbl 0703.11013Tzanakis, Nikos 1 1990 Elementary trigonometric sums related to quadratic residues. Zbl 1252.11058Laradji, Abdallah; Mignotte, Maurice; Tzanakis, Nikos 1 2012 The Diophantine equation \(x^3 + 3y^3 = 2^n\). Zbl 0493.10021Tzanakis, Nicholas 1 1982 Complete solution of the Diophantine equation \(x^2+5^a\cdot 11^b = y^n\). Zbl 1425.11059Soydan, G.; Tzanakis, N. 2 2016 Elliptic Diophantine equations. A concrete approach via the elliptic logarithm. Zbl 1311.11023Tzanakis, Nikos 5 2013 Integral points of a modular curve of level 11. Zbl 1292.11057Schoof, René; Tzanakis, Nikos 5 2012 Elementary trigonometric sums related to quadratic residues. Zbl 1252.11058Laradji, Abdallah; Mignotte, Maurice; Tzanakis, Nikos 1 2012 On \(px^{2}+q^{2n}=y^{p}\) and related Diophantine equations. Zbl 1229.11055Laradji, A.; Mignotte, M.; Tzanakis, N. 2 2011 On the equation \(Y^2=X^6+k\). Zbl 1270.11029Bremner, Andrew; Tzanakis, Nikos 2 2011 On the Diophantine equation \(x^2+5^a\cdot 11^b=y^n\). Zbl 1237.11019Demirci, Musa; Cangül, İsmail Naci; Soydan, Gökhan; Tzanakis, Nikos 8 2010 On squares in Lucas sequences. Zbl 1124.11013Bremner, A.; Tzanakis, N. 5 2007 Lucas sequences whose \(n\)th term is a square or an almost square. Zbl 1109.11022Bremner, A.; Tzanakis, N. 4 2007 Lucas sequences whose 12th or 9th term is a square. Zbl 1059.11015Bremner, A.; Tzanakis, N. 9 2004 Computing all integer solutions of a genus 1 equation. Zbl 1089.11019Stroeker, R. J.; Tzanakis, N. 17 2003 Effective solution of two simultaneous Pell equations by the elliptic logarithm method. Zbl 1003.11064Tzanakis, N. 3 2002 Integral points in arithmetic progression on \(y^2= x(x^2-n^2)\). Zbl 1009.11035Bremner, A.; Silverman, J. H.; Tzanakis, N. 22 2000 Computing all integer solutions of a general elliptic equation. Zbl 0991.11071Stroeker, Roel J.; Tzanakis, Nikolaos 2 2000 On the elliptic logarithm method for elliptic Diophantine equations: reflections and an improvement. Zbl 0979.11060Stroeker, Roel J.; Tzanakis, Nikos 13 1999 On sums of consecutive squares. Zbl 0876.11024Bremner, 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 0858.11016Tzanakis, N. 23 1996 Solving elliptic diophantine equations by estimating linear forms in elliptic logarithms. Zbl 0805.11026Stroeker, R. J.; Tzanakis, N. 39 1994 Explicit solution of a class of quartic Thue equations. Zbl 0774.11014Tzanakis, Nikos 8 1993 Corrections to “How to explicitly solve a Thue-Mahler equation”. Zbl 0791.11011Tzanakis, N.; de Weger, B. M. M. 1 1993 How to explicitly solve a Thue-Mahler equation. Zbl 0773.11023Tzanakis, N.; de Weger, B. M. M. 33 1992 Corrigendum and addendum: On a family of cubics. Zbl 0763.11011Mignotte, M.; Tzanakis, N. 1 1992 On a family of cubics. Zbl 0734.11025Mignotte, M.; Tzanakis, N. 14 1991 Simplifying the solution of Ljunggren’s equation \(x^ 2+1=2y^ 4\). Zbl 0716.11016Steiner, Ray; Tzanakis, Nikos 10 1991 Solving a specific Thue-Mahler equation. Zbl 0738.11029Tzanakis, N.; de Weger, B. M. M. 7 1991 Arithmetical study of recurrence sequences. Zbl 0683.10010Mignotte, M.; Tzanakis, N. 5 1991 On the practical solution of the Thue-Mahler equation. Zbl 0738.11030Tzanakis, N.; de Weger, B. M. M. 3 1991 On the practical solution of the Thue equation - an outline. Zbl 0703.11013Tzanakis, Nikos 1 1990 On the practical solution of the Thue equation. Zbl 0657.10014Tzanakis, N.; de Weger, B. M. M. 72 1989 On the application of Skolem’s p-adic method to the solution of Thue equations. Zbl 0674.10012Stroeker, R. J.; Tzanakis, N. 8 1988 The diophantine equation \(x^ 2=4q^{a/2}+4q+1\), with an application to coding theory. Zbl 0612.10013Tzanakis, Nikos; Wolfskill, John 9 1987 On the Diophantine equation \(y^2=4q^n+4q+1\). Zbl 0586.10011Tzanakis, Nikos; Wolfskill, John 7 1986 On the diophantine equation \(x^ 2-Dy^ 4=k\). Zbl 0543.10017Tzanakis, Nikos 6 1986 On the diophantine equation \(2x^ 3+1=py^ 2\). Zbl 0588.10017Tzanakis, Nicholas 1 1985 The diophantine equation \(x^3 - 3xy^2 - y^3 = 1\) and related equations. Zbl 0552.10008Tzanakis, Nicholas 4 1984 The complete solution in integers of \(x^ 3+3y^ 3=2^ n\). Zbl 0543.10016Tzanakis, Nicholas 1 1984 On the Diophantine equation \(y^2-D=2^k\). Zbl 0515.10016Tzanakis, Nicholas 3 1983 Integer points on \(y^2=x^3-7x+10\). Zbl 0554.10007Bremner, Andrew; Tzanakis, Nicholas 1 1983 The Diophantine equation \(x^3 + 3y^3 = 2^n\). Zbl 0493.10021Tzanakis, Nicholas 1 1982 all cited Publications top 5 cited Publications all top 5 Cited by 241 Authors 20 Tzanakis, Nikos 14 de Weger, Benjamin M. M. 13 Bennett, Michael A. 8 Stroeker, Roelof J. 7 Hajdu, Lajos 7 Koutsianas, Angelos 7 Tengely, Szabolcs 6 Mignotte, Maurice 6 Togbé, Alain 6 Ziegler, Volker 5 Pethő, Attila 5 Poulakis, Dimitrios 5 Soydan, Gokhan 5 Ulas, Maciej 4 Chen, Jianhua 4 Ingram, Patrick 4 Le, Maohua 4 Smart, Nigel Paul 3 Balakrishnan, Jennifer S. 3 Bremner, Andrew 3 Draziotis, Konstantinos A. 3 Everest, Graham Robert 3 He, Bo 3 Heuberger, Clemens 3 Karaatli, Olcay 3 Keskin, Refik 3 Kovács, Tünde 3 Luca, Florian 3 Pink, István 3 Pintér, Ákos 3 Rouse, Jeremy A. 3 Zhu, Huilin 2 Bajolet, Aurélien 2 Bajpai, Prajeet 2 Cohn, John H. E. 2 Craig, William 2 Dąbrowski, Andrzej Bogdan 2 Demirci, Musa 2 Dieulefait, Luis Victor 2 Filaseta, Michael A. 2 Fu, Ruiqin 2 García-Selfa, Irene 2 Ghadermarzi, Amir 2 Gherga, Adela 2 Godinho, Hemar 2 Goedhart, Eva G. 2 González-Jiménez, Enrique 2 Hanrot, Guillaume 2 Hashim, Hayder Raheem 2 Jadrijević, Borka 2 Katsipis, Nikos 2 Laishram, Shanta 2 Marques, Diego 2 Masser, David William 2 Matschke, Benjamin 2 Ono, Ken 2 Rábai, Zsolt 2 Rechnitzer, Andrew Daniel 2 Rout, Sudhansu Sekhar 2 Saradha, N. 2 Siksek, Samir 2 Steiner, Ray Phillip 2 Thangadurai, Ravindranathan 2 Tornero, José María 2 Voutier, Paul M. 2 Wakabayashi, Isao 2 Wolfskill, John 2 Yang, Hai 1 Abraham, Siby 1 Abu Muriefah, Fadwa S. 1 Akhtari, Shabnam 1 Alan, Murat 1 Amdeberhan, Tewodros 1 Amir, Malik 1 Amoroso, Francesco Antonio 1 Aubry, Yves 1 Bamberg, John 1 Baran, Burcu 1 Bauer, Mark L. 1 Bavencoffe, Edgard 1 Bayad, Abdelmejid 1 Bennett, Curtis D. 1 Bensebaa, Boualem 1 Bérczes, Attila 1 Besser, Amnon 1 Bézivin, Jean-Paul 1 Bianchi, Francesca 1 Billerey, Nicolas 1 Bilu, Yuri F. 1 Binegar, Skye 1 Blass, Jozef 1 Bosser, Vincent 1 Bouw, Irene I. 1 Cangul, Ismail Naci 1 Caro, Yair 1 Chan, Stephanie F. 1 Chattopadhyay, Jaitra 1 Cheng, Teng 1 Chern, Shane 1 Cipu, Mihai ...and 141 more Authors all top 5 Cited in 73 Serials 47 Journal of Number Theory 25 Mathematics of Computation 10 Rocky Mountain Journal of Mathematics 10 Acta Arithmetica 10 Journal de Théorie des Nombres de Bordeaux 9 International Journal of Number Theory 7 Periodica Mathematica Hungarica 4 Transactions of the American Mathematical Society 4 Experimental Mathematics 4 The Ramanujan Journal 3 Bulletin of the Australian Mathematical Society 3 Indian Journal of Pure & Applied Mathematics 3 Czechoslovak Mathematical Journal 3 Glasgow Mathematical Journal 3 Mathematika 3 Monatshefte für Mathematik 3 Proceedings of the American Mathematical Society 3 Bulletin of the Hellenic Mathematical Society 2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 2 Archiv der Mathematik 2 Compositio Mathematica 2 Functiones et Approximatio. Commentarii Mathematici 2 Proceedings of the Japan Academy. Series A 2 Acta Mathematica Hungarica 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Boletín de la Sociedad Matemática Mexicana. Third Series 2 LMS Journal of Computation and Mathematics 2 Integers 2 Hacettepe Journal of Mathematics and Statistics 2 Algebra & Number Theory 2 Communications in Mathematics 2 Research in Number Theory 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 Advances in Mathematics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Applied Mathematics and Computation 1 Journal of the London Mathematical Society. Second Series 1 Journal of Statistical Planning and Inference 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Mathematica Slovaca 1 Mathematische Zeitschrift 1 Memoirs of the American Mathematical Society 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Rendiconti del Seminario Matematico della Università di Padova 1 Results in Mathematics 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 Filomat 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 South East Asian Journal of Mathematics and Mathematical Sciences 1 Mediterranean Journal of Mathematics 1 Applicable Analysis and Discrete Mathematics 1 Involve 1 Science China. Mathematics 1 Pacific Journal of Mathematics for Industry all top 5 Cited in 15 Fields 219 Number theory (11-XX) 24 Algebraic geometry (14-XX) 8 Combinatorics (05-XX) 3 Field theory and polynomials (12-XX) 3 Information and communication theory, circuits (94-XX) 2 Geometry (51-XX) 2 Computer science (68-XX) 1 Mathematical logic and foundations (03-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Sequences, series, summability (40-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year