The rationality of the Poincaré series associated to the p-adic points on a variety.

J. Denef

Inventiones mathematicae (1984)

  • Volume: 77, page 1-24
  • ISSN: 0020-9910; 1432-1297/e

How to cite

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Denef, J.. "The rationality of the Poincaré series associated to the p-adic points on a variety.." Inventiones mathematicae 77 (1984): 1-24. <http://eudml.org/doc/143136>.

@article{Denef1984,
author = {Denef, J.},
journal = {Inventiones mathematicae},
keywords = {p-adic variety; rationality of Poincaré series; rational function; elimination of quantifiers},
pages = {1-24},
title = {The rationality of the Poincaré series associated to the p-adic points on a variety.},
url = {http://eudml.org/doc/143136},
volume = {77},
year = {1984},
}

TY - JOUR
AU - Denef, J.
TI - The rationality of the Poincaré series associated to the p-adic points on a variety.
JO - Inventiones mathematicae
PY - 1984
VL - 77
SP - 1
EP - 24
KW - p-adic variety; rationality of Poincaré series; rational function; elimination of quantifiers
UR - http://eudml.org/doc/143136
ER -

Citations in EuDML Documents

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  1. Luc Bélair, Le théorème de MacIntyre sur les ensembles définissables dans les corps p -adiques
  2. Ali Bleybel, Cell decomposition for two dimensional local fields
  3. Marcus Du Sautoy, Counting p -groups and nilpotent groups
  4. Ben Lichtin, On the behavior of Igusa,'s local zeta function in towers of field extension
  5. Raf Cluckers, Leonard Lipshitz, Zachary Robinson, Analytic cell decomposition and analytic motivic integration
  6. Jan Denef, Report on Igusa's local zeta function

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