p -adic estimates for exponential sums and the theorem of Chevalley-Warning

Alan Adolphson; Steven Sperber

Annales scientifiques de l'École Normale Supérieure (1987)

  • Volume: 20, Issue: 4, page 545-556
  • ISSN: 0012-9593

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Adolphson, Alan, and Sperber, Steven. "$p$-adic estimates for exponential sums and the theorem of Chevalley-Warning." Annales scientifiques de l'École Normale Supérieure 20.4 (1987): 545-556. <http://eudml.org/doc/82212>.

@article{Adolphson1987,
author = {Adolphson, Alan, Sperber, Steven},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {L-functions; p-divisibility of certain exponential sums over finite fields; theorem of Chevalley-Warning},
language = {eng},
number = {4},
pages = {545-556},
publisher = {Elsevier},
title = {$p$-adic estimates for exponential sums and the theorem of Chevalley-Warning},
url = {http://eudml.org/doc/82212},
volume = {20},
year = {1987},
}

TY - JOUR
AU - Adolphson, Alan
AU - Sperber, Steven
TI - $p$-adic estimates for exponential sums and the theorem of Chevalley-Warning
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1987
PB - Elsevier
VL - 20
IS - 4
SP - 545
EP - 556
LA - eng
KW - L-functions; p-divisibility of certain exponential sums over finite fields; theorem of Chevalley-Warning
UR - http://eudml.org/doc/82212
ER -

References

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  2. [2] A. ADOLPHSON and S. SPERBER, On the degree of the L-function associated with an exponential sum (to appear). Zbl0665.12022
  3. [3] A. ADOLPHSON and S. SPERBER, Newton Polyhedra and the Degree of the L-Function Associated to an Exponential Sum (Invent. Math., Vol. 88, 1987, pp. 555-569). Zbl0623.12012MR89d:11064
  4. [4] J. AX, Zeroes of Polynomials over Finite Fields (Amer. J. Math., Vol. 86, 1964, pp. 255-261). Zbl0121.02003MR28 #3986
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  14. [14] P. MONSKY, p-Adic Analysis and Zeta Functions (Lectures in Mathematics, Kyoto University, Tokyo, Kinokuniya Bookstore). Zbl0256.14009
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