×

zbMATH — the first resource for mathematics

Merel, Loïc

Compute Distance To:
Author ID: merel.loic Recent zbMATH articles by "Merel, Loïc"
Published as: Merel, Loïc; Merel, Loic
Homepage: https://webusers.imj-prg.fr/loic.merel
External Links: MGP · Wikidata · dblp
Awards: EMS Prize (1996)
Documents Indexed: 16 Publications since 1991

Publications by Year

Citations contained in zbMATH Open

13 Publications have been cited 276 times in 244 Documents Cited by Year
Bounds for the torsion of elliptic curves over number fields. (Bornes pour la torsion des courbes elliptiques sur les corps de nombres.) Zbl 0936.11037
Merel, Loïc
133
1996
Winding quotients and some variants of Fermat’s Last Theorem. Zbl 0976.11017
Darmon, Henri; Merel, Loïc
67
1997
Universal Fourier expansions of modular forms. Zbl 0844.11033
Merel, Loïc
27
1994
The Weil pairing between the Shimura subgroup and the cuspidal subgroup of \(J_ 0(p)\). (L’accouplement de Weil entre le sous-groupe de Shimura et le sous-groupe cuspidal de \(J_ 0(p)\).) Zbl 0859.11036
Merel, Loïc
12
1996
Sur la nature non-cyclotomique des points d’ordre fini des courbes elliptiques. (On the noncyclotomic nature of finite-order points of elliptic curves). With an appendix by E. Kowalski and P. Michel. Zbl 1020.11041
Merel, Loïc
8
2001
Arithmetic of elliptic curves and diophantine equations. Zbl 0964.11028
Merel, Loïc
5
1999
Opérateurs de Hecke pour \(\Gamma_ 0(N)\) et fractions continues. (Hecke operators for \(\Gamma_ 0(N)\) and continued fractions). Zbl 0727.11020
Merel, Loic
5
1991
The field generated by the points of small prime order on an elliptic curve. Zbl 1027.11041
Merel, Loïc; Stein, William A.
4
2001
Homology of affine modular curves and modular parametrization. (Homologie des courbes modulaires affines et paramétrisations modulaires.) Zbl 0845.11023
Merel, Loïc
4
1995
Normalizers of split Cartan subgroups and supersingular elliptic curves. Zbl 1220.11074
Merel, Loïc
4
2007
Manin symbols and values of \(L\)-functions. (Symboles de Manin et valeurs de fonctions \(L\).) Zbl 1233.11055
Merel, Loïc
4
2009
Intersections over modular curves. (Intersections sur des courbes modulaires.) Zbl 0812.14013
Merel, Loïc
2
1993
The Eisenstein cycles as modular symbols. Zbl 1454.11095
Banerjee, Debargha; Merel, Loïc
1
2018
The Eisenstein cycles as modular symbols. Zbl 1454.11095
Banerjee, Debargha; Merel, Loïc
1
2018
Manin symbols and values of \(L\)-functions. (Symboles de Manin et valeurs de fonctions \(L\).) Zbl 1233.11055
Merel, Loïc
4
2009
Normalizers of split Cartan subgroups and supersingular elliptic curves. Zbl 1220.11074
Merel, Loïc
4
2007
Sur la nature non-cyclotomique des points d’ordre fini des courbes elliptiques. (On the noncyclotomic nature of finite-order points of elliptic curves). With an appendix by E. Kowalski and P. Michel. Zbl 1020.11041
Merel, Loïc
8
2001
The field generated by the points of small prime order on an elliptic curve. Zbl 1027.11041
Merel, Loïc; Stein, William A.
4
2001
Arithmetic of elliptic curves and diophantine equations. Zbl 0964.11028
Merel, Loïc
5
1999
Winding quotients and some variants of Fermat’s Last Theorem. Zbl 0976.11017
Darmon, Henri; Merel, Loïc
67
1997
Bounds for the torsion of elliptic curves over number fields. (Bornes pour la torsion des courbes elliptiques sur les corps de nombres.) Zbl 0936.11037
Merel, Loïc
133
1996
The Weil pairing between the Shimura subgroup and the cuspidal subgroup of \(J_ 0(p)\). (L’accouplement de Weil entre le sous-groupe de Shimura et le sous-groupe cuspidal de \(J_ 0(p)\).) Zbl 0859.11036
Merel, Loïc
12
1996
Homology of affine modular curves and modular parametrization. (Homologie des courbes modulaires affines et paramétrisations modulaires.) Zbl 0845.11023
Merel, Loïc
4
1995
Universal Fourier expansions of modular forms. Zbl 0844.11033
Merel, Loïc
27
1994
Intersections over modular curves. (Intersections sur des courbes modulaires.) Zbl 0812.14013
Merel, Loïc
2
1993
Opérateurs de Hecke pour \(\Gamma_ 0(N)\) et fractions continues. (Hecke operators for \(\Gamma_ 0(N)\) and continued fractions). Zbl 0727.11020
Merel, Loic
5
1991
all top 5

Cited by 245 Authors

10 Siksek, Samir
9 Bennett, Michael A.
7 Freitas, Nuno
7 González-Jiménez, Enrique
7 Lozano-Robledo, Álvaro
6 Chen, Imin
6 Najman, Filip
5 Clark, Peter Louis
5 Hajdu, Lajos
5 Kamienny, Sheldon
5 Poonen, Bjorn
4 Doyle, John R.
4 Luca, Florian
4 Parent, Pierre
4 Tengely, Szabolcs
4 Várilly-Alvarado, Anthony
3 Armana, Cécile
3 Benedetto, Robert L.
3 Bourdon, Abbey
3 Cadoret, Anna
3 Daniels, Harris B.
3 Dieulefait, Luis Victor
3 Elsholtz, Christian
3 Ingram, Patrick
3 Kim, Chang Heon
3 Lecouturier, Emmanuel
3 Paladino, Laura
3 Pollack, Paul
3 Ranieri, Gabriele
3 Rebolledo, Marusia
3 Sutherland, Andrew V.
3 Tamagawa, Akio
2 Abramovich, Dan
2 Bilu, Yuri F.
2 Bugeaud, Yann
2 Dąbrowski, Andrzej Bogdan
2 Dahmen, Sander R.
2 Derickx, Maarten
2 Dietmann, Rainer
2 Frey, Gerhard
2 Gillibert, Florence
2 Gužvić, Tomislav
2 Győry, Kálmán
2 Høibakk, Ralph
2 Hutz, Benjamin
2 Jehanne, Arnaud
2 Jeon, Daeyeol
2 Khuri-Makdisi, Kamal
2 Kowalski, Emmanuel
2 Kraus, Alain
2 Laishram, Shanta
2 Le Fourn, Samuel
2 Lee, Yoonjin
2 Lemos, Pedro
2 Leprévost, Franck
2 Lukkassen, Dag
2 Manes, Michelle
2 Mazur, Barry
2 Merel, Loïc
2 Michel, Philippe Gabriel
2 Newman, Burton
2 Ozman, Ekin
2 Pintér, Ákos
2 Popa, Alexandru A.
2 Reynolds, Jonathan
2 Sarnak, Peter Clive
2 Schaefer, Edward F.
2 Silverman, Joseph Hillel
2 Sitaraman, Sankar
2 Stankewicz, James
2 Terai, Nobuhiro
2 Togbé, Alain
2 Venkatesh, Akshay
2 Viada, Evelina
2 Viray, Bianca
2 Wake, Preston
2 Wang-Erickson, Carl
2 Xarles, Xavier
2 Zagier, Don Bernard
1 Agashe, Amod
1 Ahlgren, Scott D.
1 Anni, Samuele
1 Arai, Keisuke
1 Balakrishnan, Jennifer S.
1 Banerjee, Debargha
1 Bars Cortina, Francesc
1 Belabas, Karim
1 Bellaïche, Joël
1 Bertolini, Massimo
1 Betina, Adel
1 Beukers, Frits
1 Billerey, Nicolas
1 Borisov, Lev A.
1 Box, Josha
1 Boxall, John L.
1 Breuer, Florian
1 Bright, Martin
1 Bruin, Peter
1 Brunault, François
1 Busuioc, Cecilia
...and 145 more Authors
all top 5

Cited in 74 Serials

29 Journal of Number Theory
15 Mathematics of Computation
15 Journal de Théorie des Nombres de Bordeaux
10 Duke Mathematical Journal
9 Transactions of the American Mathematical Society
9 International Journal of Number Theory
8 Proceedings of the American Mathematical Society
7 Journal of Algebra
7 Mathematische Zeitschrift
6 Compositio Mathematica
6 Inventiones Mathematicae
5 Israel Journal of Mathematics
5 Annales de l’Institut Fourier
5 Functiones et Approximatio. Commentarii Mathematici
4 Acta Arithmetica
4 Advances in Mathematics
4 Journal für die Reine und Angewandte Mathematik
4 Mathematische Annalen
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Bulletin of the Australian Mathematical Society
3 Bulletin of the American Mathematical Society. New Series
3 Indagationes Mathematicae. New Series
3 Annals of Mathematics. Second Series
3 Acta Mathematica Sinica. English Series
3 Research in Number Theory
2 Communications in Algebra
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Commentarii Mathematici Helvetici
2 Journal of Computer and System Sciences
2 Manuscripta Mathematica
2 Tokyo Journal of Mathematics
2 Elemente der Mathematik
2 Experimental Mathematics
2 Journal of Mathematical Sciences (New York)
2 Journal of the Institute of Mathematics of Jussieu
2 Algebra & Number Theory
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
1 American Mathematical Monthly
1 Rocky Mountain Journal of Mathematics
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Archiv der Mathematik
1 Bulletin of the London Mathematical Society
1 Czechoslovak Mathematical Journal
1 Glasgow Mathematical Journal
1 Mathematika
1 Michigan Mathematical Journal
1 Monatshefte für Mathematik
1 Pacific Journal of Mathematics
1 Acta Mathematica Hungarica
1 Boletim da Sociedade Portuguesa de Matemática
1 Revista Matemática Iberoamericana
1 Applied Mathematics Letters
1 Journal of the American Mathematical Society
1 Journal of the Ramanujan Mathematical Society
1 Science in China. Series A
1 IMRN. International Mathematics Research Notices
1 Historia Mathematica
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Doklady Mathematics
1 Honam Mathematical Journal
1 Journal of Integer Sequences
1 LMS Journal of Computation and Mathematics
1 Journal of the European Mathematical Society (JEMS)
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Milan Journal of Mathematics
1 Mediterranean Journal of Mathematics
1 Oberwolfach Reports
1 Acta Mathematica Universitatis Ostraviensis
1 Japanese Journal of Mathematics. 3rd Series
1 Science China. Mathematics
1 Forum of Mathematics, Sigma
1 Annales Mathématiques du Québec

Citations by Year

Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.