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: 45 Publications since 1982, including 1 Book and 1 Additional arXiv Preprint Reviewing Activity: 156 Reviews Co-Authors: 18 Co-Authors with 33 Joint Publications 597 Co-Co-Authors all top 5 Co-Authors 12 single-authored 8 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 1 Voutier, Paul M. 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 International Journal of Number Theory 1 Bulletin of the Hellenic Mathematical Society 1 De Gruyter Series in Discrete Mathematics and Applications Fields 45 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 40 Publications have been cited 389 times in 244 Documents Cited by ▼ Year ▼ On the practical solution of the Thue equation. Zbl 0657.10014 Tzanakis, N.; de Weger, B. M. M. 76 1989 Solving elliptic diophantine equations by estimating linear forms in elliptic logarithms. Zbl 0805.11026 Stroeker, R. J.; Tzanakis, N. 44 1994 How to explicitly solve a Thue-Mahler equation. Zbl 0773.11023 Tzanakis, N.; de Weger, B. M. M. 35 1992 Solving elliptic diophantine equations by estimating linear forms in elliptic logarithms. The case of quartic equations. Zbl 0858.11016 Tzanakis, N. 25 1996 Integral points in arithmetic progression on \(y^2= x(x^2-n^2)\). Zbl 1009.11035 Bremner, A.; Silverman, J. H.; Tzanakis, N. 22 2000 Computing all integer solutions of a genus 1 equation. Zbl 1089.11019 Stroeker, R. J.; Tzanakis, N. 18 2003 On a family of cubics. Zbl 0734.11025 Mignotte, M.; Tzanakis, N. 14 1991 On the elliptic logarithm method for elliptic Diophantine equations: reflections and an improvement. Zbl 0979.11060 Stroeker, Roel J.; Tzanakis, Nikos 13 1999 Simplifying the solution of Ljunggren’s equation \(x^ 2+1=2y^ 4\). Zbl 0716.11016 Steiner, Ray; Tzanakis, Nikos 10 1991 Lucas sequences whose 12th or 9th term is a square. Zbl 1059.11015 Bremner, A.; Tzanakis, N. 9 2004 The diophantine equation \(x^ 2=4q^{a/2}+4q+1\), with an application to coding theory. Zbl 0612.10013 Tzanakis, Nikos; Wolfskill, John 9 1987 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 9 2010 Solving a specific Thue-Mahler equation. Zbl 0738.11029 Tzanakis, N.; de Weger, B. M. M. 8 1991 On sums of consecutive squares. Zbl 0876.11024 Bremner, A.; Stroeker, R. J.; Tzanakis, N. 8 1997 On the Diophantine equation \(y^2=4q^n+4q+1\). Zbl 0586.10011 Tzanakis, Nikos; Wolfskill, John 8 1986 Explicit solution of a class of quartic Thue equations. Zbl 0774.11014 Tzanakis, Nikos 8 1993 On the application of Skolem’s p-adic method to the solution of Thue equations. Zbl 0674.10012 Stroeker, R. J.; Tzanakis, N. 8 1988 On the diophantine equation \(x^ 2-Dy^ 4=k\). Zbl 0543.10017 Tzanakis, Nikos 7 1986 Arithmetical study of recurrence sequences. Zbl 0683.10010 Mignotte, M.; Tzanakis, N. 7 1991 Elliptic Diophantine equations. A concrete approach via the elliptic logarithm. Zbl 1311.11023 Tzanakis, Nikos 6 2013 Integral points of a modular curve of level 11. Zbl 1292.11057 Schoof, René; Tzanakis, Nikos 5 2012 On squares in Lucas sequences. Zbl 1124.11013 Bremner, A.; Tzanakis, N. 5 2007 The diophantine equation \(x^3 - 3xy^2 - y^3 = 1\) and related equations. Zbl 0552.10008 Tzanakis, Nicholas 4 1984 Lucas sequences whose \(n\)th term is a square or an almost square. Zbl 1109.11022 Bremner, A.; Tzanakis, N. 4 2007 On the Diophantine equation \(y^2-D=2^k\). Zbl 0515.10016 Tzanakis, Nicholas 3 1983 On the practical solution of the Thue-Mahler equation. Zbl 0738.11030 Tzanakis, N.; de Weger, B. M. M. 3 1991 Effective solution of two simultaneous Pell equations by the elliptic logarithm method. Zbl 1003.11064 Tzanakis, N. 3 2002 Complete solution of the Diophantine equation \(x^2+5^a\cdot 11^b = y^n\). Zbl 1425.11059 Soydan, G.; Tzanakis, N. 3 2016 Computing all integer solutions of a general elliptic equation. Zbl 0991.11071 Stroeker, Roel J.; Tzanakis, Nikolaos 2 2000 On the equation \(Y^2=X^6+k\). Zbl 1270.11029 Bremner, Andrew; Tzanakis, Nikos 2 2011 On \(px^{2}+q^{2n}=y^{p}\) and related Diophantine equations. Zbl 1229.11055 Laradji, A.; Mignotte, M.; Tzanakis, N. 2 2011 Corrigendum and addendum: On a family of cubics. Zbl 0763.11011 Mignotte, M.; Tzanakis, N. 1 1992 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 On the diophantine equation \(2x^ 3+1=py^ 2\). Zbl 0588.10017 Tzanakis, Nicholas 1 1985 Corrections to “How to explicitly solve a Thue-Mahler equation”. Zbl 0791.11011 Tzanakis, N.; de Weger, B. M. M. 1 1993 On the practical solution of the Thue equation - an outline. Zbl 0703.11013 Tzanakis, Nikos 1 1990 Perfect powers in sum of three fifth powers. Zbl 1493.11073 Das, Pranabesh; Dey, Pallab Kanti; Koutsianas, Angelos; Tzanakis, Nikos 1 2022 Elementary trigonometric sums related to quadratic residues. Zbl 1252.11058 Laradji, Abdallah; Mignotte, Maurice; Tzanakis, Nikos 1 2012 The Diophantine equation \(x^3 + 3y^3 = 2^n\). Zbl 0493.10021 Tzanakis, Nicholas 1 1982 Perfect powers in sum of three fifth powers. Zbl 1493.11073 Das, Pranabesh; Dey, Pallab Kanti; Koutsianas, Angelos; Tzanakis, Nikos 1 2022 Complete solution of the Diophantine equation \(x^2+5^a\cdot 11^b = y^n\). Zbl 1425.11059 Soydan, G.; Tzanakis, N. 3 2016 Elliptic Diophantine equations. A concrete approach via the elliptic logarithm. Zbl 1311.11023 Tzanakis, Nikos 6 2013 Integral points of a modular curve of level 11. Zbl 1292.11057 Schoof, René; Tzanakis, Nikos 5 2012 Elementary trigonometric sums related to quadratic residues. Zbl 1252.11058 Laradji, Abdallah; Mignotte, Maurice; Tzanakis, Nikos 1 2012 On the equation \(Y^2=X^6+k\). Zbl 1270.11029 Bremner, Andrew; Tzanakis, Nikos 2 2011 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 \(x^2+5^a\cdot 11^b=y^n\). Zbl 1237.11019 Demirci, Musa; Cangül, İsmail Naci; Soydan, Gökhan; Tzanakis, Nikos 9 2010 On squares in Lucas sequences. Zbl 1124.11013 Bremner, A.; Tzanakis, N. 5 2007 Lucas sequences whose \(n\)th term is a square or an almost square. Zbl 1109.11022 Bremner, A.; Tzanakis, N. 4 2007 Lucas sequences whose 12th or 9th term is a square. Zbl 1059.11015 Bremner, A.; Tzanakis, N. 9 2004 Computing all integer solutions of a genus 1 equation. Zbl 1089.11019 Stroeker, R. J.; Tzanakis, N. 18 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. 22 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 13 1999 On sums of consecutive squares. Zbl 0876.11024 Bremner, A.; Stroeker, R. J.; Tzanakis, N. 8 1997 Solving elliptic diophantine equations by estimating linear forms in elliptic logarithms. The case of quartic equations. Zbl 0858.11016 Tzanakis, N. 25 1996 Solving elliptic diophantine equations by estimating linear forms in elliptic logarithms. Zbl 0805.11026 Stroeker, R. J.; Tzanakis, N. 44 1994 Explicit solution of a class of quartic Thue equations. Zbl 0774.11014 Tzanakis, Nikos 8 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. 35 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. 14 1991 Simplifying the solution of Ljunggren’s equation \(x^ 2+1=2y^ 4\). Zbl 0716.11016 Steiner, Ray; Tzanakis, Nikos 10 1991 Solving a specific Thue-Mahler equation. Zbl 0738.11029 Tzanakis, N.; de Weger, B. M. M. 8 1991 Arithmetical study of recurrence sequences. Zbl 0683.10010 Mignotte, M.; Tzanakis, N. 7 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. 76 1989 On the application of Skolem’s p-adic method to the solution of Thue equations. Zbl 0674.10012 Stroeker, R. J.; Tzanakis, N. 8 1988 The diophantine equation \(x^ 2=4q^{a/2}+4q+1\), with an application to coding theory. Zbl 0612.10013 Tzanakis, Nikos; Wolfskill, John 9 1987 On the Diophantine equation \(y^2=4q^n+4q+1\). Zbl 0586.10011 Tzanakis, Nikos; Wolfskill, John 8 1986 On the diophantine equation \(x^ 2-Dy^ 4=k\). Zbl 0543.10017 Tzanakis, Nikos 7 1986 On the diophantine equation \(2x^ 3+1=py^ 2\). Zbl 0588.10017 Tzanakis, Nicholas 1 1985 The diophantine equation \(x^3 - 3xy^2 - y^3 = 1\) and related equations. Zbl 0552.10008 Tzanakis, Nicholas 4 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 3 1983 Integer points on \(y^2=x^3-7x+10\). Zbl 0554.10007 Bremner, Andrew; Tzanakis, Nicholas 1 1983 The Diophantine equation \(x^3 + 3y^3 = 2^n\). Zbl 0493.10021 Tzanakis, Nicholas 1 1982 all cited Publications top 5 cited Publications all top 5 Cited by 268 Authors 21 Tzanakis, Nikos 14 de Weger, Benjamin M. M. 13 Bennett, Michael A. 9 Tengely, Szabolcs 8 Hajdu, Lajos 8 Koutsianas, Angelos 8 Stroeker, Roelof J. 7 Mignotte, Maurice 6 Pethő, Attila 6 Togbé, Alain 6 Ziegler, Volker 5 Poulakis, Dimitrios 5 Soydan, Gokhan 5 Ulas, Maciej 4 Ingram, Patrick 4 Le, Maohua 4 Luca, Florian 4 Smart, Nigel Paul 4 Voutier, Paul M. 3 Balakrishnan, Jennifer S. 3 Bremner, Andrew 3 Chen, Jianhua 3 Draziotis, Konstantinos A. 3 Everest, Graham Robert 3 Ghadermarzi, Amir 3 He, Bo 3 Heuberger, Clemens 3 Karaatli, Olcay 3 Keskin, Refik 3 Kovács, Tünde 3 Patel, Vandita 3 Pink, István 3 Pintér, Ákos 3 Rouse, Jeremy A. 3 Zhu, Huilin 2 Alan, Murat 2 Bajolet, Aurélien 2 Bajpai, Prajeet 2 Bamberg, John 2 Bilu, Yuri F. 2 Cohn, John H. E. 2 Coppola, Nirvana 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 Gherga, Adela 2 Godinho, Hemar 2 Goedhart, Eva G. 2 González-Jiménez, Enrique 2 Hanrot, Guillaume 2 Hashim, Hayder Raheem 2 Hong, Shaofang 2 Iranzo, Mar Curcó 2 Jadrijević, Borka 2 Katsipis, Nikos 2 Khawaja, Maleeha 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 Ülkem, Özge 2 Wakabayashi, Isao 2 Watkins, Mark James 2 Wolfskill, John 2 Yang, Hai 1 Abraham, Siby 1 Abu Muriefah, Fadwa S. 1 Akhtari, Shabnam 1 Alvarado, Alejandra 1 Amdeberhan, Tewodros 1 Amir, Malik 1 Amoroso, Francesco Antonio 1 Aubry, Yves 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 Binegar, Skye 1 Blass, Jozef 1 Bosser, Vincent ...and 168 more Authors all top 5 Cited in 76 Serials 48 Journal of Number Theory 27 Mathematics of Computation 12 Acta Arithmetica 10 Rocky Mountain Journal of Mathematics 10 Journal de Théorie des Nombres de Bordeaux 10 International Journal of Number Theory 8 Periodica Mathematica Hungarica 5 The Ramanujan Journal 4 Indian Journal of Pure & Applied Mathematics 4 Transactions of the American Mathematical Society 4 Experimental Mathematics 3 Bulletin of the Australian Mathematical Society 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 Designs, Codes and Cryptography 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Indagationes Mathematicae. New Series 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 Involve 2 Communications in Mathematics 2 Research in Number Theory 1 American Mathematical Monthly 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 Archivum Mathematicum 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 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 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 Journal of High Energy Physics 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 Science China. Mathematics 1 Pacific Journal of Mathematics for Industry all top 5 Cited in 16 Fields 234 Number theory (11-XX) 27 Algebraic geometry (14-XX) 10 Combinatorics (05-XX) 4 Field theory and polynomials (12-XX) 4 Information and communication theory, circuits (94-XX) 3 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 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year