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## Poulakis, Dimitrios

Compute Distance To:
 Author ID: poulakis.dimitrios Published as: Poulakis, Dimitrios; Poulakis, D.
 Documents Indexed: 58 Publications since 1984, including 1 Book Reviewing Activity: 293 Reviews
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#### Co-Authors

 34 single-authored 6 Draziotis, Konstantinos A. 4 Alvanos, Paraskevas 3 Karagiorgos, Gregory 3 Voskos, Evaggelos 2 Dospra, Petroula 2 Rolland, Robert 2 Walsh, Peter Gareth 1 Adamoudis, Marios 1 Aubry, Yves 1 Bilu, Yuri F. 1 Laurent, Michel 1 Muntean, Traian
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#### Serials

 6 Acta Arithmetica 5 Journal of Number Theory 3 Journal of Symbolic Computation 2 Houston Journal of Mathematics 2 Colloquium Mathematicum 2 Monatshefte für Mathematik 2 Bulletin of the Greek Mathematical Society 2 Designs, Codes and Cryptography 2 Elemente der Mathematik 2 Comptes Rendus de l’Académie des Sciences. Série I 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 Proceedings of the American Mathematical Society 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Publicationes Mathematicae 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 Lecture Notes in Computer Science 1 Journal of Mathematical Cryptology 1 Annales Mathematicae et Informaticae 1 Discrete Mathematics, Algorithms and Applications 1 Journal of Applied Mathematics and Bioinformatics
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#### Fields

 52 Number theory (11-XX) 19 Algebraic geometry (14-XX) 10 Information and communication theory, circuits (94-XX) 5 Computer science (68-XX) 3 Field theory and polynomials (12-XX) 3 Group theory and generalizations (20-XX) 1 General and overarching topics; collections (00-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)

#### Citations contained in zbMATH Open

39 Publications have been cited 100 times in 69 Documents Cited by Year
On the practical solution of genus zero Diophantine equations. Zbl 0985.11051
Poulakis, Dimitrios; Voskos, Evaggelos
2000
Integer points on algebraic curves with exceptional units. Zbl 0893.11010
Poulakis, Dimitrios
1997
Integer points on curves of genus $$0$$. (Points entiers sur les courbes de genre $$0$$.) Zbl 0817.11023
Poulakis, Dimitrios
1993
A simple method for solving the Diophantine equation $$Y^2=X^4+aX^3+bX^2+cX+d$$. Zbl 0952.11005
Poulakis, Dimitrios
1999
Solving genus zero Diophantine equations with at most two infinite valuations. Zbl 0998.11014
Poulakis, Dimitrios; Voskos, Evaggelos
2002
Solutions entières de l’équation $$Y^ m=f(X)$$. (Integer solutions of the equation $$Y^ m=f(X))$$. Zbl 0733.11009
Poulakis, Dimitrios
1991
Polynomial bounds for the solutions of a class of diophantine equations. Zbl 0894.11011
Poulakis, Dimitrios
1997
Characterizing algebraic curves with infinitely many integral points. Zbl 1196.11088
Alvanos, Paraskevas; Bilu, Yuri; Poulakis, Dimitrios
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
2006
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
1996
On the global distance between two algebraic points on a curve. Zbl 1055.11046
Laurent, Michel; Poulakis, Dimitrios
2004
Integer points and models of algebraic curves. (Points entiers et modèles des courbes algébriques.) Zbl 0811.11023
Poulakis, Dimitrios
1994
Some lattice attacks on DSA and ECDSA. Zbl 1266.94024
Poulakis, Dimitrios
2011
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
1992
Bounds for the minimal solution of genus zero diophantine equations. Zbl 0934.11035
Poulakis, Dimitrios
1998
La courbe modulaire $$X_ 0(125)$$ et sa jacobienne. (The modular curve $$X_ 0(125)$$ and its Jacobian). Zbl 0606.14029
Poulakis, Dimitrios
1987
Bounds for the size of integral points on curves of genus zero. Zbl 0997.11047
Poulakis, D.
2001
Efficient algorithms for the basis of finite abelian groups. Zbl 1277.11115
Karagiorgos, Gregory; Poulakis, Dimitrios
2011
Integer points on hyperelliptic curves. (Points entiers sur les courbes hyperelliptiques.) Zbl 0778.11019
Poulakis, Dimitrios
1992
A public key encryption scheme based on factoring and discrete logarithm. Zbl 1193.94062
Poulakis, Dimitrios
2009
Lattice attacks on DSA schemes based on Lagrange’s algorithm. Zbl 1318.94065
Draziotis, Konstantinos; Poulakis, Dimitrios
2013
Complex roots of quaternion polynomials. Zbl 1393.30038
Dospra, Petroula; Poulakis, Dimitrios
2017
Solving the Diophantine equation $$y^2=x(x^2 - n^2)$$. Zbl 1238.11038
Draziotis, Konstantinos; Poulakis, Dimitrios
2009
The number of solutions of the Mordell equation. Zbl 0933.11008
Poulakis, Dimitrios
1999
Bounds for the size of integral solutions to $$Y^m=f(X)$$. Zbl 0944.11007
Poulakis, Dimitrios
1999
Corrigendum to the paper “The number of solutions of the Mordell equation”. Zbl 1016.11011
Poulakis, Dimitrios
2000
Affine curves with infinitely many integral points. Zbl 1037.11044
Poulakis, Dimitrios
2003
Bounds for the smallest integer point of a rational curve. Zbl 1026.11036
Poulakis, Dimitrios
2003
An effective version of Chevalley-Weil theorem for projective plane curves. Zbl 1239.14018
Draziotis, Konstantinos A.; Poulakis, Dimitrios
2012
A note on the Diophantine equation $$x^2-dy^4=1$$. Zbl 1154.11314
Poulakis, D.; Walsh, P. G.
2005
Integer points on rational curves with fixed gcd. Zbl 1072.11024
Poulakis, Dimitrios
2004
An algorithm for computing a basis of a finite abelian group. Zbl 1280.20057
Karagiorgos, Gregory; Poulakis, Dimitrios
2011
New lattice attacks on DSA schemes. Zbl 1408.94960
Poulakis, Dimitrios
2016
Solving genus zero Diophantine equations over number fields. Zbl 1207.11041
2011
Évaluation d’une somme cubique de caractères. (Evaluation of a cubic character sum). Zbl 0619.10035
Poulakis, Dimitrios
1987
Thue equations and CM-fields. Zbl 1431.11044
Aubry, Yves; Poulakis, Dimitrios
2017
On the Diophantine equation $$x^2-dy^4=1$$ with prime discriminant. II. Zbl 1155.11316
Poulakis, D.; Walsh, P. G.
2006
A variant of digital signature algorithm. Zbl 1196.94078
Poulakis, Dimitrios
2009
Explicit Chevalley-Weil theorem for affine plane curves. Zbl 1222.14063
Draziotis, Konstantinos; Poulakis, Dimitrios
2009
Complex roots of quaternion polynomials. Zbl 1393.30038
Dospra, Petroula; Poulakis, Dimitrios
2017
Thue equations and CM-fields. Zbl 1431.11044
Aubry, Yves; Poulakis, Dimitrios
2017
New lattice attacks on DSA schemes. Zbl 1408.94960
Poulakis, Dimitrios
2016
Lattice attacks on DSA schemes based on Lagrange’s algorithm. Zbl 1318.94065
Draziotis, Konstantinos; Poulakis, Dimitrios
2013
An effective version of Chevalley-Weil theorem for projective plane curves. Zbl 1239.14018
Draziotis, Konstantinos A.; Poulakis, Dimitrios
2012
Some lattice attacks on DSA and ECDSA. Zbl 1266.94024
Poulakis, Dimitrios
2011
Efficient algorithms for the basis of finite abelian groups. Zbl 1277.11115
Karagiorgos, Gregory; Poulakis, Dimitrios
2011
An algorithm for computing a basis of a finite abelian group. Zbl 1280.20057
Karagiorgos, Gregory; Poulakis, Dimitrios
2011
Solving genus zero Diophantine equations over number fields. Zbl 1207.11041
2011
Characterizing algebraic curves with infinitely many integral points. Zbl 1196.11088
Alvanos, Paraskevas; Bilu, Yuri; Poulakis, Dimitrios
2009
A public key encryption scheme based on factoring and discrete logarithm. Zbl 1193.94062
Poulakis, Dimitrios
2009
Solving the Diophantine equation $$y^2=x(x^2 - n^2)$$. Zbl 1238.11038
Draziotis, Konstantinos; Poulakis, Dimitrios
2009
A variant of digital signature algorithm. Zbl 1196.94078
Poulakis, Dimitrios
2009
Explicit Chevalley-Weil theorem for affine plane curves. Zbl 1222.14063
Draziotis, Konstantinos; Poulakis, Dimitrios
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
2006
On the Diophantine equation $$x^2-dy^4=1$$ with prime discriminant. II. Zbl 1155.11316
Poulakis, D.; Walsh, P. G.
2006
A note on the Diophantine equation $$x^2-dy^4=1$$. Zbl 1154.11314
Poulakis, D.; Walsh, P. G.
2005
On the global distance between two algebraic points on a curve. Zbl 1055.11046
Laurent, Michel; Poulakis, Dimitrios
2004
Integer points on rational curves with fixed gcd. Zbl 1072.11024
Poulakis, Dimitrios
2004
Affine curves with infinitely many integral points. Zbl 1037.11044
Poulakis, Dimitrios
2003
Bounds for the smallest integer point of a rational curve. Zbl 1026.11036
Poulakis, Dimitrios
2003
Solving genus zero Diophantine equations with at most two infinite valuations. Zbl 0998.11014
Poulakis, Dimitrios; Voskos, Evaggelos
2002
Bounds for the size of integral points on curves of genus zero. Zbl 0997.11047
Poulakis, D.
2001
On the practical solution of genus zero Diophantine equations. Zbl 0985.11051
Poulakis, Dimitrios; Voskos, Evaggelos
2000
Corrigendum to the paper “The number of solutions of the Mordell equation”. Zbl 1016.11011
Poulakis, Dimitrios
2000
A simple method for solving the Diophantine equation $$Y^2=X^4+aX^3+bX^2+cX+d$$. Zbl 0952.11005
Poulakis, Dimitrios
1999
The number of solutions of the Mordell equation. Zbl 0933.11008
Poulakis, Dimitrios
1999
Bounds for the size of integral solutions to $$Y^m=f(X)$$. Zbl 0944.11007
Poulakis, Dimitrios
1999
Bounds for the minimal solution of genus zero diophantine equations. Zbl 0934.11035
Poulakis, Dimitrios
1998
Integer points on algebraic curves with exceptional units. Zbl 0893.11010
Poulakis, Dimitrios
1997
Polynomial bounds for the solutions of a class of diophantine equations. Zbl 0894.11011
Poulakis, Dimitrios
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
1996
Integer points and models of algebraic curves. (Points entiers et modèles des courbes algébriques.) Zbl 0811.11023
Poulakis, Dimitrios
1994
Integer points on curves of genus $$0$$. (Points entiers sur les courbes de genre $$0$$.) Zbl 0817.11023
Poulakis, Dimitrios
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
1992
Integer points on hyperelliptic curves. (Points entiers sur les courbes hyperelliptiques.) Zbl 0778.11019
Poulakis, Dimitrios
1992
Solutions entières de l’équation $$Y^ m=f(X)$$. (Integer solutions of the equation $$Y^ m=f(X))$$. Zbl 0733.11009
Poulakis, Dimitrios
1991
La courbe modulaire $$X_ 0(125)$$ et sa jacobienne. (The modular curve $$X_ 0(125)$$ and its Jacobian). Zbl 0606.14029
Poulakis, Dimitrios
1987
Évaluation d’une somme cubique de caractères. (Evaluation of a cubic character sum). Zbl 0619.10035
Poulakis, Dimitrios
1987
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#### Cited by 72 Authors

 18 Poulakis, Dimitrios 6 Draziotis, Konstantinos A. 4 Bilu, Yuri F. 4 Levin, Aaron 3 Alvanos, Paraskevas 2 Anand, Jaitra Chattopadhyay 2 Bhuyan, Bubu 2 Chattopadhyay, Jaitra 2 Goswami, Pinkimani 2 Hoshi, Akinari 2 Luca, Florian 2 Roy, Bidisha 2 Singh, Madan Mohan 2 Surroca, Andrea 2 Tengely, Szabolcs 2 Voskos, Evaggelos 1 Atkin, Arthur Oliver Lonsdale 1 Aubry, Yves 1 Bartolome, Boris 1 Bennett, Michael A. 1 Borichev, Aleksandr Aleksandrovich 1 Boumahdi, Rachid 1 Bugeaud, Yann 1 Das, Bireswar 1 Dietrich, Heiko 1 Dospra, Petroula 1 Feng, Erbao 1 Flatters, Anthony 1 Frisch, Sophie 1 Gallegos-Ruiz, Homero R. 1 González-Jiménez, Enrique 1 Guselev, A. M. 1 Hajdu, Lajos 1 Kovács, Tünde 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 Medvedeva, Maria I. 1 Mignotte, Maurice 1 Momose, Fumiyuki 1 Morain, François 1 Okumura, Shinya 1 Osipov, Nikolai N. 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 Sharma, Shivdutt 1 Shimura, Mahoro 1 Shorey, Tarlok Nath 1 Silverman, Joseph Hillel 1 Srikanth, Raghavendran 1 Strambi, Marco 1 Subburam, Sivanarayanapandian 1 Takagi, Toshikazu 1 Ulas, Maciej 1 Von Känel, Rafael 1 Walsh, Peter Gareth 1 Wilson, James B. 1 Yasufuku, Yu 1 Zhang, Jielin
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#### Cited in 40 Serials

 7 Journal of Number Theory 6 International Journal of Number Theory 4 Mathematics of Computation 3 Functiones et Approximatio. Commentarii Mathematici 3 Journal of Symbolic Computation 3 Journal de Théorie des Nombres de Bordeaux 2 Rocky Mountain Journal of Mathematics 2 Archiv der Mathematik 2 Compositio Mathematica 2 Monatshefte für Mathematik 2 Theoretical Computer Science 2 Discrete Mathematics, Algorithms and Applications 1 Bulletin of the Australian Mathematical Society 1 Information Processing Letters 1 Israel Journal of Mathematics 1 Acta Arithmetica 1 Archivum Mathematicum 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 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 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 the Australian Mathematical Society 1 Advances in Difference Equations 1 Journal of Mathematical Cryptology 1 Forum of Mathematics, Sigma 1 Pacific Journal of Mathematics for Industry 1 Journal of Siberian Federal University. Mathematics & Physics 1 Matematicheskie Voprosy Kriptografii
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#### Cited in 13 Fields

 60 Number theory (11-XX) 23 Algebraic geometry (14-XX) 8 Information and communication theory, circuits (94-XX) 5 Field theory and polynomials (12-XX) 4 Computer science (68-XX) 3 Numerical analysis (65-XX) 2 Commutative algebra (13-XX) 2 Group theory and generalizations (20-XX) 1 Mathematical logic and foundations (03-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Differential geometry (53-XX)