Formules explicites et minorations de conducteurs de variétés algébriques

Jean-François Mestre

Compositio Mathematica (1986)

  • Volume: 58, Issue: 2, page 209-232
  • ISSN: 0010-437X

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Mestre, Jean-François. "Formules explicites et minorations de conducteurs de variétés algébriques." Compositio Mathematica 58.2 (1986): 209-232. <http://eudml.org/doc/89769>.

@article{Mestre1986,
author = {Mestre, Jean-François},
journal = {Compositio Mathematica},
keywords = {conductor; elliptic curve; functional equation for L-series; modular form; abelian variety},
language = {fre},
number = {2},
pages = {209-232},
publisher = {Martinus Nijhoff Publishers},
title = {Formules explicites et minorations de conducteurs de variétés algébriques},
url = {http://eudml.org/doc/89769},
volume = {58},
year = {1986},
}

TY - JOUR
AU - Mestre, Jean-François
TI - Formules explicites et minorations de conducteurs de variétés algébriques
JO - Compositio Mathematica
PY - 1986
PB - Martinus Nijhoff Publishers
VL - 58
IS - 2
SP - 209
EP - 232
LA - fre
KW - conductor; elliptic curve; functional equation for L-series; modular form; abelian variety
UR - http://eudml.org/doc/89769
ER -

References

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  1. [1] M. Abramowitz, I. Stegun: Handbook of Mathematical Functions, Dover publications (1970). 
  2. [2] A.O.L. Atkin et J. Lehner: Hecke operators on Γ0(m). Math. Ann.185 (1970) 134-160. Zbl0177.34901
  3. [3] B.J. Birch et H.P.F. Swinnerton-Dyer: Notes on elliptic curves (II). J. reine angew. Math.218 (1965) 79-108. Zbl0147.02506MR179168
  4. [4] P. Deligne: Formes modulaires et représentations l-adiques. Séminaire Bourbaki, 1968-1969, no. 355. Zbl0206.49901
  5. [5] S. Lang: Algebraic Number Theory. Addison-Wesley (1970). Zbl0211.38404MR282947
  6. [6] B. Mazur et H.P.F. Swinnerton-Dyer: Arithmetic of Weil curves. Invent. Math.25 (1974) 1-61. Zbl0281.14016MR354674
  7. [7] J.-F. Mestre: Construction d'une courbe elliptique de rang ≽ 12. C.R. Acad. Sci. Paris295 (1982) 643-644. Zbl0541.14027
  8. [8] Modular functions o one variable IV, Lecture Notes in Math. no. 476, Springer-Verlag (1975). 
  9. [9] C.J. Moreno: Explicit formulas in the theory of automorphic forms. Lecture Notes in Math. no. 626, Springer-Verlag (1976). Zbl0367.10023MR476650
  10. [10] G. Poitou: Sur les petits discriminats, Séminaire Delange-Pisot-Poitou, 1976-1977, no. 6. Zbl0393.12010MR551335
  11. [11] J.-P. Serre: Facteurs locaux des fonctions zêta des variétés algébriques (définitions et conjectures), Séminaire Delange-Pisot-Poitou, 1969-1970, no. 19. Zbl0214.48403
  12. [12] J.-P. Serre: Sur le nombre de points rationnels d'une courbe algébrique sur un corps fini. C.R. Acad. Sci. Paris, t. 296 (1983) 397-402. Zbl0538.14015MR703906
  13. [13] A. Weil: Sur les "formules explicites de la théorie des nombres premiers", Comm. Sem. Math. Lund, Lund (1952) 252-265( = Oeuvres Sci., II, 48-61). Zbl0049.03205MR53152
  14. [14] A. Weil: Sur les formules explicites de la théorie des nombres, Izvestia Akad. Nauk S.S.S.R., Ser. Math.36 (1972) 3-18( = Oeuvres Sci., III, 249-264). Zbl0245.12010MR379440
  15. [15] A. Weil: Über die Bestimmung Dirichletscher Reihen durch Funktionalgleichungen. Math. Ann.168 (1967) 149-156( = Oeuvres Sci., III, 165-172). Zbl0158.08601MR207658

Citations in EuDML Documents

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  1. J. Gebel, A. Pethő, H. G. Zimmer, Computing integral points on elliptic curves
  2. A. Perelli, J. Pomykała, Averages of twisted elliptic L-functions
  3. Mark Watkins, Stephen Donnelly, Noam D. Elkies, Tom Fisher, Andrew Granville, Nicholas F. Rogers, Ranks of quadratic twists of elliptic curves
  4. A. M. Odlyzko, Bounds for discriminants and related estimates for class numbers, regulators and zeros of zeta functions : a survey of recent results
  5. Pierre Colmez, La conjecture de Birch et Swinnerton-Dyer 𝐩 -adique

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