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- W1661423033 abstract "Let f be a polinomial with coefficients in a finite field F. Let $Psi : F to C^{ast}$ be a non-trivial additive character. In this paper we give bounds for the exponential sums $sum_{xin F^n} Psi (Tr_{F/F_p} (f(x)))$ in some cases where the highest degree form of f defines a singular projective hypersurface X (e.g. when X is an arrangement of lines in P^2). The bound involves the Milnor numbers of the singularities of X. The proof goes via the classical cohomological interpretation of this exponential sums through Grothendieck's trace formula." @default.
- W1661423033 created "2016-06-24" @default.
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- W1661423033 date "1997-02-06" @default.
- W1661423033 modified "2023-10-16" @default.
- W1661423033 title "On exponential sums" @default.
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