Edit Profile (opens in new tab) Poulakis, Dimitrios Co-Author Distance Author ID: poulakis.dimitrios Published as: Poulakis, Dimitrios; Poulakis, D. Documents Indexed: 61 Publications since 1984 3 Contributions as Editor Reviewing Activity: 392 Reviews Co-Authors: 13 Co-Authors with 29 Joint Publications 169 Co-Co-Authors all top 5 Co-Authors 35 single-authored 8 Draziotis, Konstantinos A. 5 Alvanos, Paraskevas 3 Adamoudis, Marios 3 Karagiorgos, Gregory 3 Voskos, Evaggelos 2 Dospra, Petroula 2 Rahonis, George 2 Rolland, Robert 2 Walsh, Peter Gareth 1 Aubry, Yves 1 Bilu, Yuri F. 1 Laurent, Michel 1 Muntean, Traian all top 5 Serials 6 Acta Arithmetica 5 Journal of Number Theory 3 Colloquium Mathematicum 3 Journal of Symbolic Computation 2 Houston Journal of Mathematics 2 Monatshefte für Mathematik 2 Bulletin of the Greek Mathematical Society 2 Information and Computation 2 Designs, Codes and Cryptography 2 Elemente der Mathematik 2 Comptes Rendus de l’Académie des Sciences. Série I 2 Lecture Notes in Computer Science 1 Bulletin of the Australian Mathematical Society 1 Periodica Mathematica Hungarica 1 Rocky Mountain Journal of Mathematics 1 Mathematics of Computation 1 Archiv der Mathematik 1 Canadian Mathematical Bulletin 1 Functiones et Approximatio. Commentarii Mathematici 1 Proceedings of the American Mathematical Society 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Publicationes Mathematicae Debrecen 1 Theoretical Computer Science 1 Comptes Rendus Mathématiques de l’Académie des Sciences 1 Acta Mathematica Hungarica 1 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série 1 Journal of the Australian Mathematical Society. Series A 1 Applicable Algebra in Engineering, Communication and Computing 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 The Ramanujan Journal 1 Journal of Discrete Mathematical Sciences & Cryptography 1 International Journal of Number Theory 1 Journal of Mathematical Cryptology 1 Annales Mathematicae et Informaticae 1 Discrete Mathematics, Algorithms and Applications 1 Journal of Applied Mathematics and Bioinformatics all top 5 Fields 54 Number theory (11-XX) 20 Algebraic geometry (14-XX) 10 Information and communication theory, circuits (94-XX) 9 Computer science (68-XX) 4 Field theory and polynomials (12-XX) 3 General and overarching topics; collections (00-XX) 3 Group theory and generalizations (20-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Functions of a complex variable (30-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 43 Publications have been cited 152 times in 98 Documents Cited by ▼ Year ▼ On the practical solution of genus zero Diophantine equations. Zbl 0985.11051 Poulakis, Dimitrios; Voskos, Evaggelos 10 2000 A simple method for solving the Diophantine equation \(Y^2=X^4+aX^3+bX^2+cX+d\). Zbl 0952.11005 Poulakis, Dimitrios 9 1999 Integer points on algebraic curves with exceptional units. Zbl 0893.11010 Poulakis, Dimitrios 9 1997 Integer points on curves of genus \(0\). (Points entiers sur les courbes de genre \(0\).) Zbl 0817.11023 Poulakis, Dimitrios 8 1993 Solving genus zero Diophantine equations with at most two infinite valuations. Zbl 0998.11014 Poulakis, Dimitrios; Voskos, Evaggelos 8 2002 Some lattice attacks on DSA and ECDSA. Zbl 1266.94024 Poulakis, Dimitrios 7 2011 Solutions entières de l’équation \(Y^ m=f(X)\). (Integer solutions of the equation \(Y^ m=f(X))\). Zbl 0733.11009 Poulakis, Dimitrios 6 1991 Practical solution of the Diophantine equation \( y^2 = x(x+2^ap^b)(x-2^ap^b)\). Zbl 1119.11073 Draziotis, Konstantinos; Poulakis, Dimitrios 6 2006 La courbe modulaire \(X_ 0(125)\) et sa jacobienne. (The modular curve \(X_ 0(125)\) and its Jacobian). Zbl 0606.14029 Poulakis, Dimitrios 5 1987 Bounds for the minimal solution of genus zero diophantine equations. Zbl 0934.11035 Poulakis, Dimitrios 5 1998 Polynomial bounds for the solutions of a class of diophantine equations. Zbl 0894.11011 Poulakis, Dimitrios 5 1997 New lattice attacks on DSA schemes. Zbl 1408.94960 Poulakis, Dimitrios 5 2016 Lattice attacks on DSA schemes based on Lagrange’s algorithm. Zbl 1318.94065 Draziotis, Konstantinos; Poulakis, Dimitrios 5 2013 Characterizing algebraic curves with infinitely many integral points. Zbl 1196.11088 Alvanos, Paraskevas; Bilu, Yuri; Poulakis, Dimitrios 5 2009 Efficient algorithms for the basis of finite abelian groups. Zbl 1277.11115 Karagiorgos, Gregory; Poulakis, Dimitrios 4 2011 Bounds for the size of integral points on curves of genus zero. Zbl 0997.11047 Poulakis, D. 4 2001 Integral solutions of the equation \(f(X, Y)^ \alpha = p(X)g(X, Y)\). (Solutions entières de l’équation \(f(X, Y)^ \alpha = p(X)g(X, Y)\).) Zbl 0777.11006 Poulakis, Dimitrios 3 1992 Bounds for the smallest integer point of a rational curve. Zbl 1026.11036 Poulakis, Dimitrios 3 2003 On the global distance between two algebraic points on a curve. Zbl 1055.11046 Laurent, Michel; Poulakis, Dimitrios 3 2004 Effective estimation of integer points of a family of algebraic curves. (Estimation effective des points entiers d’une famille de courbes algébriques.) Zbl 0879.11030 Poulakis, Dimitrios 3 1996 Integer points and models of algebraic curves. (Points entiers et modèles des courbes algébriques.) Zbl 0811.11023 Poulakis, Dimitrios 3 1994 Explicit Chevalley-Weil theorem for affine plane curves. Zbl 1222.14063 Draziotis, Konstantinos; Poulakis, Dimitrios 3 2009 Complex roots of quaternion polynomials. Zbl 1393.30038 Dospra, Petroula; Poulakis, Dimitrios 3 2017 Solving the Diophantine equation \(y^2=x(x^2 - n^2)\). Zbl 1238.11038 Draziotis, Konstantinos; Poulakis, Dimitrios 3 2009 Enhancing an attack to DSA schemes. Zbl 1455.94101 Adamoudis, Marios; Draziotis, Konstantinos A.; Poulakis, Dimitrios 3 2019 Integer points on hyperelliptic curves. (Points entiers sur les courbes hyperelliptiques.) Zbl 0778.11019 Poulakis, Dimitrios 2 1992 Affine curves with infinitely many integral points. Zbl 1037.11044 Poulakis, Dimitrios 2 2003 Corrigendum to the paper “The number of solutions of the Mordell equation”. Zbl 1016.11011 Poulakis, Dimitrios 2 2000 The number of solutions of the Mordell equation. Zbl 0933.11008 Poulakis, Dimitrios 2 1999 An effective version of Chevalley-Weil theorem for projective plane curves. Zbl 1239.14018 Draziotis, Konstantinos A.; Poulakis, Dimitrios 2 2012 A public key encryption scheme based on factoring and discrete logarithm. Zbl 1193.94062 Poulakis, Dimitrios 2 2009 A note on the Diophantine equation \(x^2-dy^4=1\). Zbl 1154.11314 Poulakis, D.; Walsh, P. G. 1 2005 Integer points on rational curves with fixed gcd. Zbl 1072.11024 Poulakis, Dimitrios 1 2004 Évaluation d’une somme cubique de caractères. (Evaluation of a cubic character sum). Zbl 0619.10035 Poulakis, Dimitrios 1 1987 Bounds for the size of integral solutions to \(Y^m=f(X)\). Zbl 0944.11007 Poulakis, Dimitrios 1 1999 Thue equations and CM-fields. Zbl 1431.11044 Aubry, Yves; Poulakis, Dimitrios 1 2017 Algebraic informatics. 5th international conference, CAI 2013, Porquerolles, France, September 3–6, 2013. Proceedings. Zbl 1270.68033 1 2013 On the Diophantine equation \(x^2-dy^4=1\) with prime discriminant. II. Zbl 1155.11316 Poulakis, D.; Walsh, P. G. 1 2006 Solving genus zero Diophantine equations over number fields. Zbl 1207.11041 Alvanos, Paraskevas; Poulakis, Dimitrios 1 2011 On the rational points of the curve \(f(X,Y)^{q} = h(X)g(X,Y)\). Zbl 1166.11023 Poulakis, Dimitrios 1 2009 A variant of digital signature algorithm. Zbl 1196.94078 Poulakis, Dimitrios 1 2009 An algorithm for computing a basis of a finite abelian group. Zbl 1280.20057 Karagiorgos, Gregory; Poulakis, Dimitrios 1 2011 Bounds for the smallest integral point on a conic over a number field. Zbl 1450.11021 Alvanos, Paraskevas; Poulakis, Dimitrios 1 2020 Bounds for the smallest integral point on a conic over a number field. Zbl 1450.11021 Alvanos, Paraskevas; Poulakis, Dimitrios 1 2020 Enhancing an attack to DSA schemes. Zbl 1455.94101 Adamoudis, Marios; Draziotis, Konstantinos A.; Poulakis, Dimitrios 3 2019 Complex roots of quaternion polynomials. Zbl 1393.30038 Dospra, Petroula; Poulakis, Dimitrios 3 2017 Thue equations and CM-fields. Zbl 1431.11044 Aubry, Yves; Poulakis, Dimitrios 1 2017 New lattice attacks on DSA schemes. Zbl 1408.94960 Poulakis, Dimitrios 5 2016 Lattice attacks on DSA schemes based on Lagrange’s algorithm. Zbl 1318.94065 Draziotis, Konstantinos; Poulakis, Dimitrios 5 2013 Algebraic informatics. 5th international conference, CAI 2013, Porquerolles, France, September 3–6, 2013. Proceedings. Zbl 1270.68033 1 2013 An effective version of Chevalley-Weil theorem for projective plane curves. Zbl 1239.14018 Draziotis, Konstantinos A.; Poulakis, Dimitrios 2 2012 Some lattice attacks on DSA and ECDSA. Zbl 1266.94024 Poulakis, Dimitrios 7 2011 Efficient algorithms for the basis of finite abelian groups. Zbl 1277.11115 Karagiorgos, Gregory; Poulakis, Dimitrios 4 2011 Solving genus zero Diophantine equations over number fields. Zbl 1207.11041 Alvanos, Paraskevas; Poulakis, Dimitrios 1 2011 An algorithm for computing a basis of a finite abelian group. Zbl 1280.20057 Karagiorgos, Gregory; Poulakis, Dimitrios 1 2011 Characterizing algebraic curves with infinitely many integral points. Zbl 1196.11088 Alvanos, Paraskevas; Bilu, Yuri; Poulakis, Dimitrios 5 2009 Explicit Chevalley-Weil theorem for affine plane curves. Zbl 1222.14063 Draziotis, Konstantinos; Poulakis, Dimitrios 3 2009 Solving the Diophantine equation \(y^2=x(x^2 - n^2)\). Zbl 1238.11038 Draziotis, Konstantinos; Poulakis, Dimitrios 3 2009 A public key encryption scheme based on factoring and discrete logarithm. Zbl 1193.94062 Poulakis, Dimitrios 2 2009 On the rational points of the curve \(f(X,Y)^{q} = h(X)g(X,Y)\). Zbl 1166.11023 Poulakis, Dimitrios 1 2009 A variant of digital signature algorithm. Zbl 1196.94078 Poulakis, Dimitrios 1 2009 Practical solution of the Diophantine equation \( y^2 = x(x+2^ap^b)(x-2^ap^b)\). Zbl 1119.11073 Draziotis, Konstantinos; Poulakis, Dimitrios 6 2006 On the Diophantine equation \(x^2-dy^4=1\) with prime discriminant. II. Zbl 1155.11316 Poulakis, D.; Walsh, P. G. 1 2006 A note on the Diophantine equation \(x^2-dy^4=1\). Zbl 1154.11314 Poulakis, D.; Walsh, P. G. 1 2005 On the global distance between two algebraic points on a curve. Zbl 1055.11046 Laurent, Michel; Poulakis, Dimitrios 3 2004 Integer points on rational curves with fixed gcd. Zbl 1072.11024 Poulakis, Dimitrios 1 2004 Bounds for the smallest integer point of a rational curve. Zbl 1026.11036 Poulakis, Dimitrios 3 2003 Affine curves with infinitely many integral points. Zbl 1037.11044 Poulakis, Dimitrios 2 2003 Solving genus zero Diophantine equations with at most two infinite valuations. Zbl 0998.11014 Poulakis, Dimitrios; Voskos, Evaggelos 8 2002 Bounds for the size of integral points on curves of genus zero. Zbl 0997.11047 Poulakis, D. 4 2001 On the practical solution of genus zero Diophantine equations. Zbl 0985.11051 Poulakis, Dimitrios; Voskos, Evaggelos 10 2000 Corrigendum to the paper “The number of solutions of the Mordell equation”. Zbl 1016.11011 Poulakis, Dimitrios 2 2000 A simple method for solving the Diophantine equation \(Y^2=X^4+aX^3+bX^2+cX+d\). Zbl 0952.11005 Poulakis, Dimitrios 9 1999 The number of solutions of the Mordell equation. Zbl 0933.11008 Poulakis, Dimitrios 2 1999 Bounds for the size of integral solutions to \(Y^m=f(X)\). Zbl 0944.11007 Poulakis, Dimitrios 1 1999 Bounds for the minimal solution of genus zero diophantine equations. Zbl 0934.11035 Poulakis, Dimitrios 5 1998 Integer points on algebraic curves with exceptional units. Zbl 0893.11010 Poulakis, Dimitrios 9 1997 Polynomial bounds for the solutions of a class of diophantine equations. Zbl 0894.11011 Poulakis, Dimitrios 5 1997 Effective estimation of integer points of a family of algebraic curves. (Estimation effective des points entiers d’une famille de courbes algébriques.) Zbl 0879.11030 Poulakis, Dimitrios 3 1996 Integer points and models of algebraic curves. (Points entiers et modèles des courbes algébriques.) Zbl 0811.11023 Poulakis, Dimitrios 3 1994 Integer points on curves of genus \(0\). (Points entiers sur les courbes de genre \(0\).) Zbl 0817.11023 Poulakis, Dimitrios 8 1993 Integral solutions of the equation \(f(X, Y)^ \alpha = p(X)g(X, Y)\). (Solutions entières de l’équation \(f(X, Y)^ \alpha = p(X)g(X, Y)\).) Zbl 0777.11006 Poulakis, Dimitrios 3 1992 Integer points on hyperelliptic curves. (Points entiers sur les courbes hyperelliptiques.) Zbl 0778.11019 Poulakis, Dimitrios 2 1992 Solutions entières de l’équation \(Y^ m=f(X)\). (Integer solutions of the equation \(Y^ m=f(X))\). Zbl 0733.11009 Poulakis, Dimitrios 6 1991 La courbe modulaire \(X_ 0(125)\) et sa jacobienne. (The modular curve \(X_ 0(125)\) and its Jacobian). Zbl 0606.14029 Poulakis, Dimitrios 5 1987 Évaluation d’une somme cubique de caractères. (Evaluation of a cubic character sum). Zbl 0619.10035 Poulakis, Dimitrios 1 1987 all cited Publications top 5 cited Publications all top 5 Cited by 109 Authors 23 Poulakis, Dimitrios 11 Draziotis, Konstantinos A. 4 Adamoudis, Marios 4 Alvanos, Paraskevas 4 Bilu, Yuri F. 4 Levin, Aaron 3 Das, Bireswar 3 Osipov, Nikolaĭ Nikolaevich 3 Sharma, Shivdutt 2 Anand, Jaitra Chattopadhyay 2 Bhuyan, Bubu 2 Bugeaud, Yann 2 Chattopadhyay, Jaitra 2 Dospra, Petroula 2 Goswami, Pinkimani 2 Hoshi, Akinari 2 Luca, Florian 2 Roy, Bidisha 2 Singh, Madan Mohan 2 Surroca, Andrea 2 Tengely, Szabolcs 2 Von Känel, Rafael 2 Voskos, Evaggelos 2 Yoo, Hwajong 1 Atkin, Arthur Oliver Lonsdale 1 Aubry, Yves 1 Bartolome, Boris 1 Bennett, Michael A. 1 Bérczes, Attila 1 Billingsley, Tyler Raven 1 Borichev, Aleksandr Aleksandrovich 1 Boumahdi, Rachid 1 Daghigh, Hassan 1 Dietrich, Heiko 1 Ďuriš, Viliam 1 Feng, Erbao 1 Flatters, Anthony 1 Frisch, Sophie 1 Fu, Ruiqin 1 Gallegos-Ruiz, Homero R. 1 González-Jiménez, Enrique 1 Grechuk, Bogdan 1 Grechuk, Tetiana 1 Gulnova, Bella V. 1 Guselev, A. M. 1 Győry, Kálmán 1 Hajdu, Lajos 1 Hamadouche, M’hamed 1 Herzog, Christopher P. 1 Ivanov, Fedor Illarionovich 1 Jepsen, Christian Baadsgaard 1 Khadir, Omar 1 Khazali, Mehrdad 1 Komatsu, Toru 1 Kovács, Tünde 1 Krouk, E. A. 1 Kytmanov, Alexey Alexandrovich 1 Larone, Jesse 1 Laurent, Michel 1 Lettl, Günter Hermann Alexander 1 Lorenzini, Dino J. 1 Luo, Zhongxuan 1 Macias-Virgós, Enrique 1 Marques, Diego 1 Masser, David William 1 Medvedeva, Maria I. 1 Mehibel, Nissa 1 Mello, Jorge 1 Mignotte, Maurice 1 Momose, Fumiyuki 1 Morain, François 1 Okumura, Shinya 1 Osborn, Hugh 1 Ostafe, Alina 1 Oz, Yaron 1 Pereira-Sáez, María José 1 Pintér, Ákos 1 Reynolds, Jonathan 1 Rojas, J. Maurice 1 Rolland, Robert 1 Rueda, Sonia L. 1 Sankaranarayanan, Ayyadurai 1 Saradha, N. 1 Sendra, Juan Rafael 1 Sendra, Juana 1 Sha, Min 1 Shimura, Mahoro 1 Shorey, Tarlok Nath 1 Sidorenko, Vladimir R. 1 Silverman, Joseph Hillel 1 Srikanth, Raghavendran 1 Strambi, Marco 1 Subburam, Sivanarayanapandian 1 Šumný, Timotej 1 Takagi, Toshikazu 1 Tzanakis, Nikos 1 Ulas, Maciej 1 Voutier, Paul M. 1 Walsh, Peter Gareth 1 Wang, Chao ...and 9 more Authors all top 5 Cited in 57 Serials 10 Journal of Number Theory 7 International Journal of Number Theory 4 Mathematics of Computation 4 Functiones et Approximatio. Commentarii Mathematici 3 Theoretical Computer Science 3 Journal of Symbolic Computation 3 Journal de Théorie des Nombres de Bordeaux 2 Rocky Mountain Journal of Mathematics 2 Archiv der Mathematik 2 Archivum Mathematicum 2 Compositio Mathematica 2 Monatshefte für Mathematik 2 Journal of Discrete Mathematical Sciences & Cryptography 2 Discrete Mathematics, Algorithms and Applications 2 Journal of Siberian Federal University. Mathematics & Physics 1 Bulletin of the Australian Mathematical Society 1 Houston Journal of Mathematics 1 Information Processing Letters 1 Israel Journal of Mathematics 1 Journal of Mathematical Analysis and Applications 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Problems of Information Transmission 1 Acta Arithmetica 1 Advances in Mathematics 1 Colloquium Mathematicum 1 Czechoslovak Mathematical Journal 1 Journal of Algebra 1 Journal of Computational and Applied Mathematics 1 Journal of the Mathematical Society of Japan 1 Nagoya Mathematical Journal 1 Proceedings of the American Mathematical Society 1 Programming and Computer Software 1 Transactions of the American Mathematical Society 1 Acta Mathematica Hungarica 1 Information and Computation 1 Facta Universitatis. Series Mathematics and Informatics 1 Forum Mathematicum 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 L’Enseignement Mathématique. 2e Série 1 Applicable Algebra in Engineering, Communication and Computing 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Advances in Applied Clifford Algebras 1 The Ramanujan Journal 1 Theory of Computing Systems 1 Journal for Geometry and Graphics 1 Discrete Dynamics in Nature and Society 1 Journal of High Energy Physics 1 Journal of the Australian Mathematical Society 1 Advances in Difference Equations 1 Journal of Mathematical Cryptology 1 Advances in Mathematics of Communications 1 Asian-European Journal of Mathematics 1 Forum of Mathematics, Sigma 1 Transactions of the London Mathematical Society 1 Pacific Journal of Mathematics for Industry 1 Bulletin of the Hellenic Mathematical Society 1 Matematicheskie Voprosy Kriptografii all top 5 Cited in 16 Fields 81 Number theory (11-XX) 33 Algebraic geometry (14-XX) 13 Information and communication theory, circuits (94-XX) 9 Computer science (68-XX) 6 Field theory and polynomials (12-XX) 4 Group theory and generalizations (20-XX) 4 Numerical analysis (65-XX) 2 Commutative algebra (13-XX) 2 Quantum theory (81-XX) 1 Mathematical logic and foundations (03-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Functions of a complex variable (30-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Differential geometry (53-XX) Citations by Year