On exponential sums in finite fields. II. (English) Zbl 0396.14001


14G15 Finite ground fields in algebraic geometry
14G05 Rational points
11L40 Estimates on character sums
11T23 Exponential sums


Zbl 0171.415
Full Text: DOI EuDML


[1] B Bombieri, E.: On exponential sums in finite fields. Amer. J. Math.88, 71–105 (1966) · Zbl 0171.41504
[2] D1 Deligne, P.: La conjecture de Weil I. Publ. Math. IHES43, 273–307 (1974) · Zbl 0287.14001
[3] D2 Deligne, P.: La conjecture de Weil II. (To appear)
[4] S Serre, J.-P.: Majorations de Sommes Exponentielles. Soc. Math. France, Astérisque41–42, 111–126 (1977) · Zbl 0406.14014
[5] SGA Séminaire de géométrie algébrique du Bois-marie, SGA 41/2, by P. Deligne, with J.-F., Boutot, A. Grothendieck, L. Illusie and J.-L. Verdier. In: Cohomologie etale. Lecture Notes in Math. 569, Berlin, Heidelberg, New York: Springer 1977 séminaire de géométrie algébrique du Bois-marie 1967–1969, SGA 7 II, by P. Deligne and N. Katz. In: Groupes de monodromie en géométrie algébrique. Lecture Notes in Math. 340, Berlin, Heidelberg, New York: Springer 1973
[6] DW Dwork, B.: On the zeta function of a hypersurface III. Ann. of Math.83, 457–519 (1966) · Zbl 0173.48603
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