Cohomologie des fonctions 0 F n

Michel J. Carpentier

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

  • Volume: 12, Issue: 1, page 1-10

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Carpentier, Michel J.. "Cohomologie des fonctions $_0 F_n$." Groupe de travail d'analyse ultramétrique 12.1 (1984-1985): 1-10. <http://eudml.org/doc/91938>.

@article{Carpentier1984-1985,
author = {Carpentier, Michel J.},
journal = {Groupe de travail d'analyse ultramétrique},
keywords = {deformation theory; Dwork cohomology; exponential sums; strong Frobenius structure; generalized hypergeometric series},
language = {fre},
number = {1},
pages = {1-10},
publisher = {Secrétariat mathématique},
title = {Cohomologie des fonctions $_0 F_n$},
url = {http://eudml.org/doc/91938},
volume = {12},
year = {1984-1985},
}

TY - JOUR
AU - Carpentier, Michel J.
TI - Cohomologie des fonctions $_0 F_n$
JO - Groupe de travail d'analyse ultramétrique
PY - 1984-1985
PB - Secrétariat mathématique
VL - 12
IS - 1
SP - 1
EP - 10
LA - fre
KW - deformation theory; Dwork cohomology; exponential sums; strong Frobenius structure; generalized hypergeometric series
UR - http://eudml.org/doc/91938
ER -

References

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  1. [1] Adolphson ( A.) and Sperber ( S.). - Twisted Kloosterman sums and p-adic Bessel functions, Amer. J. of Math., t. 106, 1984, p. 549-591. Zbl0552.12010MR745141
  2. [2] Carpentier ( M.J.). - p-Adic cohomology of generalized hyperkloosterman sums, Thèse, University of Minnesota, 1985. 
  3. [3] Dwork ( B.). - Bessel functions as p-adic functions of the argument , Duke math. J., t. 41, 1974, p. 711-738. Zbl0302.14008MR387281
  4. [4] Sperber ( S.). - p-Adic hypergeometric functions and their cohomology, Duke math. J., t. 44, 1977, p. 535-589. Zbl0408.12025MR476750
  5. [5] Sperber ( S.). - Newton polygons for general hyperkloosterman sums, "Cohomologie p-adique", Astérisque, t. 119-120, 1984, p. 267-330. Zbl0582.14005MR773095
  6. [6] Wasow ( W.). - Asymptotic expansions for ordinary differential equations. - New-York, London, Sydney, Interscience Publishers, 1965 (Pure and applied Mathematics, 14). Zbl0133.35301MR203188

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