Les polynômes d’Hecke. Théorie p -adique

Hernando Enrique Sierra-Morales

Groupe de travail d'analyse ultramétrique (1984-1985)

  • Volume: 12, Issue: 1, page 1-16

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Sierra-Morales, Hernando Enrique. "Les polynômes d’Hecke. Théorie $p$-adique." Groupe de travail d'analyse ultramétrique 12.1 (1984-1985): 1-16. <http://eudml.org/doc/91933>.

@article{Sierra1984-1985,
author = {Sierra-Morales, Hernando Enrique},
journal = {Groupe de travail d'analyse ultramétrique},
keywords = {Hecke polynomials; differential systems},
language = {fre},
number = {1},
pages = {1-16},
publisher = {Secrétariat mathématique},
title = {Les polynômes d’Hecke. Théorie $p$-adique},
url = {http://eudml.org/doc/91933},
volume = {12},
year = {1984-1985},
}

TY - JOUR
AU - Sierra-Morales, Hernando Enrique
TI - Les polynômes d’Hecke. Théorie $p$-adique
JO - Groupe de travail d'analyse ultramétrique
PY - 1984-1985
PB - Secrétariat mathématique
VL - 12
IS - 1
SP - 1
EP - 16
LA - fre
KW - Hecke polynomials; differential systems
UR - http://eudml.org/doc/91933
ER -

References

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  1. [Ad-1] Adolphson ( A.). - A p-adic theory of Hecke polynomials, Duke Math. J. , t. 43, 1976, p. 115-145. Zbl0339.14012MR491508
  2. [Ad-2] Adolphson ( A.). - An index theorem for p-adic differential operators, Trans. Amer. math. Soc., t. 216, 1976, p. 279-293. Zbl0297.47039MR387284
  3. [Am-1] Amice ( Y.). - Les nombres p-adiques. - Paris, Presses universitaires de France, 1975 (Collection SUP, "Le Mathématicien", 14). Zbl0313.12104MR447195
  4. [Ch-1] Christol ( G.). - Un théorème de transfert pour les disques singuliers réguliers, "Cohomologie p-adique", Astérisque n° 119-120, 1984, p. 151-168. Zbl0553.12014MR773091
  5. [Dw-1] Dwork ( B.). - On Hecke polynomials, Invent. Math., Berlin, t. 12, 1971, p. 249-256. Zbl0219.14014MR302591
  6. [Dw-2] Dwork ( B.). - p-Adic cycles. - Paris, Presses universitaires de France, 1969 (Institut des hautes Etudes scientifiques. Publications mathématiques, 37, p. 27-116. Zbl0284.14008MR294346
  7. [Dw-3] Dwork ( B.). - Lectures on p-adic differential equations. - New York, Heidelberg, Berlin, Springer-Verlag, 1982 (Grundlehren der mathematischen Wissenschaften, 253). Zbl0502.12021MR678093
  8. [Ih-1] Ihara ( Y.). - Hecke polynomials as congruence ζ functions in elliptic modular case, Annals of Math., Series 2, t. 85, 1967, p. 267-295. Zbl0181.36501
  9. [Ro-1] Robba ( P.). - Index of p-adic differential operators III. Applications to twisted exponential sums, "Cohomologie p-adique", Astérisque n° 129-220, 1984, p. 191-266. Zbl0548.12015MR773094
  10. [Ro-2] Robba ( P.). - Indice d'un opérateur différentiel IV, Cas des systèmes. Mesure de l'irrégularité dans un disque, Ann. Inst. Fourier, Grenoble, t. 35, 1985, fasc. 2, p. 13-55. Zbl0548.12016MR786533
  11. [Ro-3] Robba ( P.). - Une introduction naive aux cohomologies de Dwork, Mémoires de la Soc. math.France (à paraître). Zbl0623.14005
  12. [Ro-4] Robba ( P. ) . - Cohomologie p-adique et fonctions L . Cours de D. E. A., Université Paris-XI, Orsay, 1982/83. 
  13. [Se-1] Serre ( J.-P.). - Endomorphismes complètement continus des espaces de Banach p-adiques. - Paris, Presses universitaires de France, 1962 (Institut des hautes Etudes scientifiques. Publications mathématiques, 12). Zbl0104.33601MR144186

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