# zbMATH — the first resource for mathematics

## Couveignes, Jean-Marc

Compute Distance To:
 Author ID: couveignes.jean-marc Published as: Couveignes, J.-M.; Couveignes, Jean-Marc
 Documents Indexed: 32 Publications since 1993, including 3 Books
all top 5

#### Co-Authors

 14 single-authored 5 Lercier, Reynald 2 Edixhoven, Bas 2 Ezome, Tony 1 Bertrand, Daniel 1 Boalch, Philip P. 1 Cassou-Noguès, Pierrette 1 de Rougemont, Michel 1 Dèbes, Pierre 1 Diaz-Frias, Juan Francisco 1 Granboulan, Louis 1 Hallouin, Emmanuel 1 Henocq, Thierry 1 Joux, Antoine 1 Kammerer, Jean-Gabriel 1 Morain, François 1 Rolland, Robert 1 Ros, Nicolas 1 Santha, Miklos
all top 5

#### Serials

 2 Acta Arithmetica 2 Journal of Symbolic Computation 1 Israel Journal of Mathematics 1 Mathematics of Computation 1 Annales de l’Institut Fourier 1 Journal of Algebra 1 Manuscripta Mathematica 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Journal de Théorie des Nombres de Bordeaux 1 Finite Fields and their Applications 1 Annals of Mathematics. Second Series 1 LMS Journal of Computation and Mathematics 1 Annals of Mathematics Studies 1 Séminaires et Congrès 1 SMF Journée Annuelle 1 Advances in Mathematics of Communications 1 Algebra & Number Theory
all top 5

#### Fields

 23 Number theory (11-XX) 20 Algebraic geometry (14-XX) 11 Field theory and polynomials (12-XX) 4 Computer science (68-XX) 4 Information and communication theory, circuits (94-XX) 3 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Commutative algebra (13-XX) 1 Group theory and generalizations (20-XX) 1 Functions of a complex variable (30-XX) 1 Numerical analysis (65-XX)

#### Citations contained in zbMATH

23 Publications have been cited 146 times in 124 Documents Cited by Year
Computational aspects of modular forms and Galois representations. How one can compute in polynomial time the value of Ramanujan’s tau at a prime. Zbl 1216.11004
Edixhoven, Bas (ed.); Couveignes, Jean-Marc (ed.)
2011
Computation and rationality of Belyi functions in genus zero. Zbl 0791.11059
Couveignes, Jean-Marc
1994
Dessins from a geometric point of view. Zbl 0835.14010
Couveignes, Jean-Marc; Granboulan, Louis
1994
Elliptic periods for finite fields. Zbl 1216.11106
Couveignes, Jean-Marc; Lercier, Reynald
2009
Action of modular correspondences around CM points. Zbl 1057.11026
Couveignes, Jean-Marc; Henocq, Thierry
2002
Tools for the computation of families of coverings. Zbl 1016.14012
Couveignes, Jean-Marc
1999
Schoof’s algorithm and isogeny cycles. Zbl 0849.14024
Couveignes, Jean-Marc; Morain, François
1994
Linearizing torsion classes in the Picard group of algebraic curves over finite fields. Zbl 1168.14007
Couveignes, J.-M.
2009
Explicit factorizations of $$g(y)-h(z)$$. Zbl 0923.12004
Cassou-Noguès, Pierrette; Couveignes, Jean-Marc
1999
Computing $$l$$-isogenies using the $$p$$-torsion. Zbl 0903.11030
Couveignes, Jean-Marc
1996
Fast construction of irreducible polynomials over finite fields. Zbl 1287.11141
Couveignes, Jean-Marc; Lercier, Reynald
2013
Galois invariant smoothness basis. Zbl 1151.14311
Couveignes, Jean-Marc; Lercier, Reynald
2008
Algebraic groups and discrete logarithm. Zbl 1022.11066
Couveignes, Jean-Marc
2001
Isomorphisms between Artin-Schreier towers. Zbl 0983.11074
Couveignes, Jean-Marc
2000
Boundary of Hurwitz spaces and explicit patching. Zbl 0973.12004
Couveignes, Jean-Marc
2000
Some coverings defined over $$\mathbb{Q}$$. Zbl 0946.14015
Couveignes, Jean-Marc
1997
Computing a square root for the number field sieve. Zbl 0806.11068
Couveignes, Jean-Marc
1993
Computing functions on Jacobians and their quotients. Zbl 1333.14038
Couveignes, Jean-Marc; Ezome, Tony
2015
The geometry of some parameterizations and encodings. Zbl 1314.14053
Couveignes, Jean-Marc; Lercier, Reynald
2014
The geometry of flex tangents to a cubic curve and its parameterizations. Zbl 1244.14024
Couveignes, Jean-Marc; Kammerer, Jean-Gabriel
2012
Global descent obstructions for varieties. Zbl 1293.11078
Couveignes, Jean-Marc; Hallouin, Emmanuel
2011
Jacobian, Jacobians and numerical stability. Zbl 1180.11019
Couveignes, Jean-Marc
2006
On the theorem of Belyi. Zbl 0869.11092
Couveignes, Jean-Marc
1996
Computing functions on Jacobians and their quotients. Zbl 1333.14038
Couveignes, Jean-Marc; Ezome, Tony
2015
The geometry of some parameterizations and encodings. Zbl 1314.14053
Couveignes, Jean-Marc; Lercier, Reynald
2014
Fast construction of irreducible polynomials over finite fields. Zbl 1287.11141
Couveignes, Jean-Marc; Lercier, Reynald
2013
The geometry of flex tangents to a cubic curve and its parameterizations. Zbl 1244.14024
Couveignes, Jean-Marc; Kammerer, Jean-Gabriel
2012
Computational aspects of modular forms and Galois representations. How one can compute in polynomial time the value of Ramanujan’s tau at a prime. Zbl 1216.11004
Edixhoven, Bas (ed.); Couveignes, Jean-Marc (ed.)
2011
Global descent obstructions for varieties. Zbl 1293.11078
Couveignes, Jean-Marc; Hallouin, Emmanuel
2011
Elliptic periods for finite fields. Zbl 1216.11106
Couveignes, Jean-Marc; Lercier, Reynald
2009
Linearizing torsion classes in the Picard group of algebraic curves over finite fields. Zbl 1168.14007
Couveignes, J.-M.
2009
Galois invariant smoothness basis. Zbl 1151.14311
Couveignes, Jean-Marc; Lercier, Reynald
2008
Jacobian, Jacobians and numerical stability. Zbl 1180.11019
Couveignes, Jean-Marc
2006
Action of modular correspondences around CM points. Zbl 1057.11026
Couveignes, Jean-Marc; Henocq, Thierry
2002
Algebraic groups and discrete logarithm. Zbl 1022.11066
Couveignes, Jean-Marc
2001
Isomorphisms between Artin-Schreier towers. Zbl 0983.11074
Couveignes, Jean-Marc
2000
Boundary of Hurwitz spaces and explicit patching. Zbl 0973.12004
Couveignes, Jean-Marc
2000
Tools for the computation of families of coverings. Zbl 1016.14012
Couveignes, Jean-Marc
1999
Explicit factorizations of $$g(y)-h(z)$$. Zbl 0923.12004
Cassou-Noguès, Pierrette; Couveignes, Jean-Marc
1999
Some coverings defined over $$\mathbb{Q}$$. Zbl 0946.14015
Couveignes, Jean-Marc
1997
Computing $$l$$-isogenies using the $$p$$-torsion. Zbl 0903.11030
Couveignes, Jean-Marc
1996
On the theorem of Belyi. Zbl 0869.11092
Couveignes, Jean-Marc
1996
Computation and rationality of Belyi functions in genus zero. Zbl 0791.11059
Couveignes, Jean-Marc
1994
Dessins from a geometric point of view. Zbl 0835.14010
Couveignes, Jean-Marc; Granboulan, Louis
1994
Schoof’s algorithm and isogeny cycles. Zbl 0849.14024
Couveignes, Jean-Marc; Morain, François
1994
Computing a square root for the number field sieve. Zbl 0806.11068
Couveignes, Jean-Marc
1993
all top 5

#### Cited by 162 Authors

 8 Couveignes, Jean-Marc 7 Lercier, Reynald 5 Gaudry, Pierrick 5 Morain, François 5 Schost, Éric 4 De Feo, Luca 4 Ezome, Tony 4 Zvonkin, Alexander K. 3 Ballet, Stéphane 3 Bisson, Gaetan 3 Bonnecaze, Alexis 3 Enge, Andreas 3 König, Joachim 3 Pakovich, Fedor 2 Atighehchi, Kévin 2 Bröker, Reinier 2 Bruin, Peter 2 Dèbes, Pierre 2 Hallouin, Emmanuel 2 Jorgenson, Jay Alan 2 Lecerf, Grégoire 2 Mascot, Nicolas 2 Milio, Enea 2 Rolland, Robert 2 Sall, Mohamadou 2 Sijsling, Jeroen 2 Thomé, Emmanuel 2 Tibouchi, Mehdi 2 van der Hoeven, Joris 2 Vidunas, Raimundas 2 Zeng, Jinxiang 1 Adrianov, Nikolai M. 1 Akleylek, Sedat 1 Anni, Samuele 1 Arnault, François 1 Aryasomayajula, Anilatmaja 1 Barth, Dominik 1 Bartholdi, Laurent 1 Bernstein, Daniel Julius 1 Bétréma, Jean 1 Bostan, Alin 1 Brieulle, Ludovic 1 Brooks, Ernest Hunter 1 Buff, Xavier 1 Bunyawat, Aunyarat 1 Burda, Yuri 1 Cameron, Naiomi T. 1 Carls, Robert 1 Cassou-Noguès, Pierrette 1 Citro, Craig 1 de Jong, Robin 1 Dembélé, Lassina 1 Dewaghe, Laurent 1 Diarra, Karamoko 1 Diem, Claus 1 Doliskani, Javad 1 Douai, Jean-Claude 1 Dunand, Clément 1 Elkenbracht-Huizing, Marije 1 Emsalem, Michel 1 Eyral, Christophe 1 Fan, XiuBin 1 Faugère, Jean-Charles 1 Flon, Stéphane 1 Flori, Jean-Pierre 1 Fried, Michael David 1 Friedman, Joshua S. 1 Ghitza, Alexandru 1 Graf von Bothmer, Hans-Christian 1 Granboulan, Louis 1 Hanany, Amihay 1 He, Yang-Hui Evariste 1 Hugounenq, Cyril 1 Huot, Louise 1 Jejjala, Vishnu 1 Jetchev, Dimitar P. 1 Jin, Jinbi 1 Jitman, Somphong 1 Jones, Gareth A. 1 Joux, Antoine 1 Kaplan, Nathan 1 Karemaker, Valentijn 1 Kemp, Mary 1 Khovanskiĭ, Askold Georgievich 1 Khuri-Makdisi, Kamal 1 Kim, Taechan 1 Kitaev, Alexander V. 1 Kochetkov, Yuri Yu. 1 Kohel, David R. 1 Kramer, Jürg 1 Kröker, Jakob 1 Kühn, Ulf 1 Kumar, Abhinav 1 Lauder, Alan G. B. 1 Lubicz, David 1 Malle, Gunter 1 Maslak, Susan 1 Matiyasevich, Yuriĭ Vladimirovich 1 Mayer, Hartwig 1 Meesawat, Supanut ...and 62 more Authors
all top 5

#### Cited in 50 Serials

 26 Mathematics of Computation 9 Journal of Symbolic Computation 8 Journal de Théorie des Nombres de Bordeaux 7 Journal of Algebra 6 LMS Journal of Computation and Mathematics 4 Journal of Number Theory 4 Experimental Mathematics 4 Journal of Mathematical Sciences (New York) 3 Manuscripta Mathematica 3 Mathematische Zeitschrift 3 Finite Fields and their Applications 2 Discrete Mathematics 2 Annales de l’Institut Fourier 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Transactions of the American Mathematical Society 2 Journal of Cryptology 2 Research in Number Theory 1 Moscow University Mathematics Bulletin 1 Russian Mathematical Surveys 1 Acta Arithmetica 1 Compositio Mathematica 1 International Journal of Mathematics and Mathematical Sciences 1 Inventiones Mathematicae 1 Journal of Computational and Applied Mathematics 1 Journal of Pure and Applied Algebra 1 Mathematische Annalen 1 Mathematica Slovaca 1 Mathematika 1 Proceedings of the Japan Academy. Series A 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Theoretical Computer Science 1 Topology and its Applications 1 Journal of Complexity 1 SIAM Journal on Discrete Mathematics 1 Designs, Codes and Cryptography 1 Indagationes Mathematicae. New Series 1 Selecta Mathematica. New Series 1 Bulletin des Sciences Mathématiques 1 Journal of High Energy Physics 1 Foundations of Computational Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Journal of Algebra and its Applications 1 Journal of Mathematical Cryptology 1 Advances in Mathematics of Communications 1 Algebra & Number Theory 1 Involve 1 Science China. Mathematics 1 Arnold Mathematical Journal
all top 5

#### Cited in 17 Fields

 80 Number theory (11-XX) 76 Algebraic geometry (14-XX) 22 Field theory and polynomials (12-XX) 15 Information and communication theory, circuits (94-XX) 11 Computer science (68-XX) 8 Combinatorics (05-XX) 7 Group theory and generalizations (20-XX) 7 Functions of a complex variable (30-XX) 4 Special functions (33-XX) 4 Ordinary differential equations (34-XX) 4 Manifolds and cell complexes (57-XX) 3 Commutative algebra (13-XX) 3 Dynamical systems and ergodic theory (37-XX) 1 Partial differential equations (35-XX) 1 Sequences, series, summability (40-XX) 1 Numerical analysis (65-XX) 1 Quantum theory (81-XX)