Fonctions abéliennes p -adiques. Définitions et conjectures

Daniel Bertrand

Groupe de travail d'analyse ultramétrique (1976-1977)

  • Volume: 4, page 1-13

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Bertrand, Daniel. "Fonctions abéliennes $p$-adiques. Définitions et conjectures." Groupe de travail d'analyse ultramétrique 4 (1976-1977): 1-13. <http://eudml.org/doc/91809>.

@article{Bertrand1976-1977,
author = {Bertrand, Daniel},
journal = {Groupe de travail d'analyse ultramétrique},
language = {fre},
pages = {1-13},
publisher = {Secrétariat mathématique},
title = {Fonctions abéliennes $p$-adiques. Définitions et conjectures},
url = {http://eudml.org/doc/91809},
volume = {4},
year = {1976-1977},
}

TY - JOUR
AU - Bertrand, Daniel
TI - Fonctions abéliennes $p$-adiques. Définitions et conjectures
JO - Groupe de travail d'analyse ultramétrique
PY - 1976-1977
PB - Secrétariat mathématique
VL - 4
SP - 1
EP - 13
LA - fre
UR - http://eudml.org/doc/91809
ER -

References

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  1. [1] Bertrand ( D.). - Approximations diophantiennes p-adiques sur les courbes elliptiques admettant une multiplication complexe, Compositio Math. (à paraître). Zbl0383.14015MR498420
  2. [2] Bertrand ( D.) and Flicker ( Y.). - Linear forms on abelian varieties over local fields (en préparation). 
  3. [3] Borel ( A.). - Linear algebraic groups. - New York, W. A. Benjamin, 1969 (Mathematics Lecture Note Series). Zbl0206.49801MR251042
  4. [4] Bourbaki ( N.). - Groupes et algèbres de Lie, Chap. 2 et 3. - Paris, Hermann, 1972 (Act. scient. et ind.1349 ; Bourbaki, 37). Zbl0244.22007MR573068
  5. [5] Coates ( J.) and Lang ( S.). - Diophantine approximation on abelian varieties with complex multiplication, Invent. Math., Berlin, t. 34, 1976, p. 129-133. Zbl0342.10018MR414498
  6. [6] Lang ( S.). - Integral points on curves. - Paris, Presses Universitaires de France, 1960 (Institut des Hautes Etudes Scientifiques, Publications mathématiques, 6, p. 27-43). Zbl0112.13402MR130219
  7. [7] Lang ( S.). - Diophantine approximation on abelian varieties with complex multiplication, Advances in Math., t. 17, 1975, p. 281-336. Zbl0306.14019
  8. [8] Lang ( S.). - Higher dimensional diophantine problems, Bull. Amer. math. Soc., t. 80, 1974, p. 779-787. Zbl0298.14014MR360464
  9. [9] Masser ( D.). - Linear forms in algebraic points of abelian functions, III, Proc. London math. Soc., series 3, t. 33, 1976, p. 549-564. Zbl0334.14019MR424717
  10. [10] Masser ( D.). - On the period of abelian functions in two variables, Mathematika, London, t. 22, 1975, p. 97-107. Zbl0318.14010MR399000
  11. [11] Polya ( G.) und Szego ( G.). - Aufgaben und Lehrsätze aus der Analysis, II. - Berlin, Springer-Verlag, 1925 (Grundlehren der mathematischen Wissenschaften, 20). 
  12. [12] Shimura ( G.) and Taniyama ( Y. ) . - Complex multiplication of abelian varieties and its applications to number theory. - Tokyo, The Mathematical Society of Japan, 1961 (Publications of the Mathematical Society of Japan, 6). Zbl0112.03502MR125113
  13. [13] Waldschmidt ( M.). - Nombres transcendants et groupes algébriques, Cours Peccot, Collège de France, 1977. MR570648

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