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Author ID: merel.loic Recent zbMATH articles by "Merel, Loïc"
Published as: Merel, Loïc; Merel, Loic; Merel, L.
Homepage: https://webusers.imj-prg.fr/loic.merel
External Links: MGP · Wikidata · dblp · IdRef · theses.fr
Awards: EMS Prize (1996)
Documents Indexed: 19 Publications since 1991, including 1 Additional arXiv Preprint
Co-Authors: 5 Co-Authors with 6 Joint Publications
210 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

14 Publications have been cited 392 times in 342 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
187
1996
Winding quotients and some variants of Fermat’s Last Theorem. Zbl 0976.11017
Darmon, Henri; Merel, Loïc
91
1997
Universal Fourier expansions of modular forms. Zbl 0844.11033
Merel, Loïc
35
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
26
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
9
2001
Opérateurs de Hecke pour \(\Gamma_ 0(N)\) et fractions continues. (Hecke operators for \(\Gamma_ 0(N)\) and continued fractions). Zbl 0727.11020
Merel, Loic
8
1991
Manin symbols and values of \(L\)-functions. (Symboles de Manin et valeurs de fonctions \(L\).) Zbl 1233.11055
Merel, Loïc
7
2009
The field generated by the points of small prime order on an elliptic curve. Zbl 1027.11041
Merel, Loïc; Stein, William A.
7
2001
Arithmetic of elliptic curves and diophantine equations. Zbl 0964.11028
Merel, Loïc
6
1999
Homology of affine modular curves and modular parametrization. (Homologie des courbes modulaires affines et paramétrisations modulaires.) Zbl 0845.11023
Merel, Loïc
5
1995
Intersections over modular curves. (Intersections sur des courbes modulaires.) Zbl 0812.14013
Merel, Loïc
4
1993
Normalizers of split Cartan subgroups and supersingular elliptic curves. Zbl 1220.11074
Merel, Loïc
4
2007
The Eisenstein cycles as modular symbols. Zbl 1454.11095
Banerjee, Debargha; Merel, Loïc
2
2018
Hecke operators and subgroups of \(\Gamma(2)\). (Opérateurs de Hecke et sous-groupes de \(\Gamma(2)\).) Zbl 0821.11030
Merel, Loïc
1
1995
The Eisenstein cycles as modular symbols. Zbl 1454.11095
Banerjee, Debargha; Merel, Loïc
2
2018
Manin symbols and values of \(L\)-functions. (Symboles de Manin et valeurs de fonctions \(L\).) Zbl 1233.11055
Merel, Loïc
7
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
9
2001
The field generated by the points of small prime order on an elliptic curve. Zbl 1027.11041
Merel, Loïc; Stein, William A.
7
2001
Arithmetic of elliptic curves and diophantine equations. Zbl 0964.11028
Merel, Loïc
6
1999
Winding quotients and some variants of Fermat’s Last Theorem. Zbl 0976.11017
Darmon, Henri; Merel, Loïc
91
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
187
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
26
1996
Homology of affine modular curves and modular parametrization. (Homologie des courbes modulaires affines et paramétrisations modulaires.) Zbl 0845.11023
Merel, Loïc
5
1995
Hecke operators and subgroups of \(\Gamma(2)\). (Opérateurs de Hecke et sous-groupes de \(\Gamma(2)\).) Zbl 0821.11030
Merel, Loïc
1
1995
Universal Fourier expansions of modular forms. Zbl 0844.11033
Merel, Loïc
35
1994
Intersections over modular curves. (Intersections sur des courbes modulaires.) Zbl 0812.14013
Merel, Loïc
4
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
8
1991
all top 5

Cited by 356 Authors

13 Siksek, Samir
12 Najman, Filip
11 Bennett, Michael A.
9 González-Jiménez, Enrique
7 Freitas, Nuno
7 Lozano-Robledo, Álvaro
6 Chen, Imin
6 Clark, Peter Louis
6 Kamienny, Sheldon
6 Merel, Loïc
6 Paladino, Laura
5 Derickx, Maarten
5 Doyle, John R.
5 Hajdu, Lajos
5 Lecouturier, Emmanuel
5 Poonen, Bjorn
5 Wake, Preston
4 Bourdon, Abbey
4 Genao, Tyler
4 Gužvić, Tomislav
4 Luca, Florian
4 Parent, Pierre
4 Pollack, Paul
4 Stoll, Michael
4 Tengely, Szabolcs
4 Terai, Nobuhiro
4 Várilly-Alvarado, Anthony
3 Armana, Cécile
3 Banerjee, Debargha
3 Benedetto, Robert L.
3 Cadoret, Anna
3 Dąbrowski, Andrzej Bogdan
3 Daniels, Harris B.
3 Darmon, Henri René
3 Dieulefait, Luis Victor
3 Elsholtz, Christian
3 Győry, Kálmán
3 Ingram, Patrick
3 Kim, Chang Heon
3 Kowalski, Emmanuel
3 Laishram, Shanta
3 Michaud-Jacobs, Philippe
3 Michel, Philippe Gabriel
3 Miyazaki, Takafumi
3 Nordentoft, Asbjørn Christian
3 Ozman, Ekin
3 Pintér, Ákos
3 Ranieri, Gabriele
3 Rebolledo, Marusia
3 Silverman, Joseph Hillel
3 Sutherland, Andrew V.
3 Tamagawa, Akio
3 Venkatesh, Akshay
3 Vukorepa, Borna
3 Wang-Erickson, Carl
3 Zagier, Don Bernard
2 Abramovich, Dan
2 Betina, Adel
2 Bilu, Yuri F.
2 Bruin, Peter
2 Brunault, François
2 Bugeaud, Yann
2 Canci, Jung Kyu
2 Dahmen, Sander R.
2 Das, Pranabesh
2 Dietmann, Rainer
2 Dvornicich, Roberto
2 Eyidoğan, Sadık
2 Fraser, Jonathan MacDonald
2 Frey, Gerhard
2 Gillibert, Florence
2 Göral, Haydar
2 Harris, Michael Howard
2 Høibakk, Ralph
2 Hutz, Benjamin
2 Jehanne, Arnaud
2 Jeon, Daeyeol
2 Khuri-Makdisi, Kamal
2 Kraus, Alain
2 Kundu, Debanjana
2 Le Fourn, Samuel
2 Le, Maohua
2 Lee, Yoonjin
2 Lemos, Pedro
2 Leprévost, Franck
2 Lukkassen, Dag
2 Manes, Michelle
2 Marcolli, Matilde
2 Mazur, Barry
2 Melistas, Mentzelos
2 Mocanu, Diana
2 Newman, Burton
2 Pakovich, Fedor
2 Platonov, Vladimir Petrovich
2 Popa, Alexandru A.
2 Reynolds, Jonathan
2 Sala, Massimiliano
2 Saradha, N.
2 Sarnak, Peter Clive
2 Schaefer, Edward F.
...and 256 more Authors
all top 5

Cited in 98 Serials

34 Journal of Number Theory
19 Mathematics of Computation
17 International Journal of Number Theory
15 Journal de Théorie des Nombres de Bordeaux
10 Acta Arithmetica
10 Duke Mathematical Journal
10 Proceedings of the American Mathematical Society
10 Transactions of the American Mathematical Society
10 Research in Number Theory
7 Journal of Algebra
7 Mathematische Zeitschrift
6 Israel Journal of Mathematics
6 Compositio Mathematica
6 Functiones et Approximatio. Commentarii Mathematici
6 Inventiones Mathematicae
6 Journal für die Reine und Angewandte Mathematik
6 Mathematische Annalen
5 Advances in Mathematics
5 Annales de l’Institut Fourier
4 Mathematika
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Algebra & Number Theory
3 Bulletin of the Australian Mathematical Society
3 American Journal of Mathematics
3 Journal of the London Mathematical Society. Second Series
3 Bulletin of the American Mathematical Society. New Series
3 Indagationes Mathematicae. New Series
3 Experimental Mathematics
3 Annals of Mathematics. Second Series
3 Acta Mathematica Sinica. English Series
3 Journal of the Institute of Mathematics of Jussieu
3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
2 Communications in Algebra
2 Indian Journal of Pure & Applied Mathematics
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Archiv der Mathematik
2 Bulletin of the London Mathematical Society
2 Colloquium Mathematicum
2 Commentarii Mathematici Helvetici
2 Journal of Computer and System Sciences
2 Manuscripta Mathematica
2 Michigan Mathematical Journal
2 Monatshefte für Mathematik
2 Pacific Journal of Mathematics
2 Tokyo Journal of Mathematics
2 Revista Matemática Iberoamericana
2 Elemente der Mathematik
2 Journal of Mathematical Sciences (New York)
2 Doklady Mathematics
2 Journal of the European Mathematical Society (JEMS)
2 Oberwolfach Reports
2 Forum of Mathematics, Sigma
2 European Journal of Mathematics
1 American Mathematical Monthly
1 Journal of Mathematical Physics
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 Bulletin de la Société Mathématique de France
1 Czechoslovak Mathematical Journal
1 Glasgow Mathematical Journal
1 Osaka Journal of Mathematics
1 Real Analysis Exchange
1 Acta Mathematica Hungarica
1 Boletim da Sociedade Portuguesa de Matemática
1 Applied Mathematics Letters
1 Journal of the American Mathematical Society
1 Forum Mathematicum
1 Journal of the Ramanujan Mathematical Society
1 Science in China. Series A
1 Random Structures & Algorithms
1 IMRN. International Mathematics Research Notices
1 The Journal of Geometric Analysis
1 Glasnik Matematički. Serija III
1 Historia Mathematica
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Journal of Algebraic Geometry
1 Finite Fields and their Applications
1 The New York Journal of Mathematics
1 The Ramanujan Journal
1 Honam Mathematical Journal
1 Journal of Integer Sequences
1 LMS Journal of Computation and Mathematics
1 Integers
1 Journal of the Australian Mathematical Society
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Milan Journal of Mathematics
1 Mediterranean Journal of Mathematics
1 Chebyshevskiĭ Sbornik
1 Journal of Mathematical Cryptology
1 Acta Mathematica Universitatis Ostraviensis
1 Japanese Journal of Mathematics. 3rd Series
1 Science China. Mathematics
1 International Journal of Group Theory
1 Annales Mathématiques du Québec
1 Research in the Mathematical Sciences
1 Proceedings of the American Mathematical Society. Series B

Citations by Year

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