@article{ASENS_1987_4_20_4_545_0,
author = {Adolphson, Alan and Sperber, Steven},
title = {$p$-adic estimates for exponential sums and the theorem of {Chevalley-Warning}},
journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
pages = {545--556},
publisher = {Elsevier},
volume = {Ser. 4, 20},
number = {4},
year = {1987},
doi = {10.24033/asens.1543},
mrnumber = {89d:11112},
zbl = {0654.12011},
language = {en},
url = {http://archive.numdam.org/articles/10.24033/asens.1543/}
}
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 SP - 545 EP - 556 VL - 20 IS - 4 PB - Elsevier UR - http://archive.numdam.org/articles/10.24033/asens.1543/ DO - 10.24033/asens.1543 LA - en ID - ASENS_1987_4_20_4_545_0 ER -
%0 Journal Article %A Adolphson, Alan %A Sperber, Steven %T $p$-adic estimates for exponential sums and the theorem of Chevalley-Warning %J Annales scientifiques de l'École Normale Supérieure %D 1987 %P 545-556 %V 20 %N 4 %I Elsevier %U http://archive.numdam.org/articles/10.24033/asens.1543/ %R 10.24033/asens.1543 %G en %F ASENS_1987_4_20_4_545_0
Adolphson, Alan; Sperber, Steven. $p$-adic estimates for exponential sums and the theorem of Chevalley-Warning. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 20 (1987) no. 4, pp. 545-556. doi : 10.24033/asens.1543. http://archive.numdam.org/articles/10.24033/asens.1543/
[1] and , Exponential Sums on the Complement of a Hypersurface (Amer. J. Math., Vol. 102, 1980, pp. 461-487). | MR | Zbl
[2] and , On the degree of the L-function associated with an exponential sum (to appear).
[3] and , Newton Polyhedra and the Degree of the L-Function Associated to an Exponential Sum (Invent. Math., Vol. 88, 1987, pp. 555-569). | EuDML | MR | Zbl
[4] , Zeroes of Polynomials over Finite Fields (Amer. J. Math., Vol. 86, 1964, pp. 255-261). | MR | Zbl
[5] , Séries de Dirichlet et intégrales associées à un polynôme à deux indéterminées (J. of Number Theory, Vol. 23, 1986, pp. 1-54). | MR | Zbl
[6] , Cohomologie des intersections complètes in Groupes de Monodromie en Géométrie Algébrique (SGA 7 II) (Lecture Notes in Math., No. 340, and , pp. 39-61, Berlin-Heidelberg - New York - Tokyo, Springer, 1973). | MR | Zbl
[7] , On the Zeta Function of a Hypersurface (Publ. Math. I.H.E.S., Vol. 12, 1962, pp. 5-68). | EuDML | Numdam | MR | Zbl
[8] , On the Zeta Function of a Hypersurface, II (Ann. of Math., Vol. 80, 1964, pp. 227-299). | MR | Zbl
[9] and , Minimal Characteristic Exponent of the Gauss-Manin Connection of Isolated Singular Point and Newton Polyhedron (Math. Ann., Vol. 259, 1982, pp. 431-441). | EuDML | MR | Zbl
[10] , On a theorem of Ax (Amer. J. Math., Vol. 93, 1971, pp. 485-499). | MR | Zbl
[11] , Polyèdres de Newton et nombres de Milnor (Invent. Math., Vol. 32, 1976, pp. 1-31). | MR | Zbl
[12] and , Poles of a Local Zeta Function and Newton Polygons (Comp. Math., Vol. 55, 1985, pp. 313-332). | Numdam | MR | Zbl
[13] , Frobenius and the Hodge filtration (estimates) (Ann. of Math., Vol. 98, 1973, pp. 58-95). | MR | Zbl
[14] , p-Adic Analysis and Zeta Functions (Lectures in Mathematics, Kyoto University, Tokyo, Kinokuniya Bookstore). | Zbl
[15] , Endomorphismes complètement continus des espaces de Banach p-adiques (Publ. Math. I.H.E.S., Vol. 12, 1962, p. 69-85). | Numdam | MR | Zbl
[16] , On the p-Adic Theory of Exponential Sums (Amer. J. Math., Vol. 108, 1986, pp. 255-296). | MR | Zbl
[17] , Bemerkung zur vorstehenden Arbeit von Herr Chevalley (Abh. Math. Sem. Univ. Hamburg, Vol. 11, 1936, pp. 76-83). | JFM | Zbl
[18] , Number of Solutions of Equations in Finite Fields (Bull. Amer. Math. Soc., Vol. 55, 1949, pp. 497-508). | MR | Zbl
Cité par Sources :
