Consequences of a result of N. Katz and G. Laumon concerning trigonometric sums

DOI10.1007/s11856-000-1272-zzbMath1010.11045OpenAlexW2461301347MaRDI QIDQ5932011

Étienne Fouvry

Publication date: 25 September 2001

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-000-1272-z

zbMATH Keywords

hypercubeslarge values of the trigonometric sums

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Finite ground fields in algebraic geometry (14G15) Congruences in many variables (11D79)

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Cites Work

• Unnamed Item
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• Transformation de Fourier et majoration de sommes exponentielles. (Fourier transformation and majoration of exponential sums.)
• Equations over finite fields. An elementary approach
• On exponential sums in finite fields. II
• La conjecture de Weil. I
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Troisième partie). Rédigé avec la colloboration de J. Dieudonné
• On the zeta function of a hypersurface. I
• Small eigenvalues of Laplacian for $Γ_{0}(N)$