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Exponential Sums on Reduced Residue Systems
Published online by Cambridge University Press: 20 November 2018
Abstract
The aim of this article is to obtain an upper bound for the exponential sums $\sum{e(f(x)\,/\,q)}$, where the summation runs from
$x=1$ to
$x=q$ with
$(x,q)=1$ and
$e(\alpha )$ denotes
$\exp (2\pi i\alpha )$.
We shall show that the upper bound depends only on the values of $q$ and
$s$, where
$s$ is the number of terms in the polynomial
$f(x)$.
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- Research Article
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- Copyright © Canadian Mathematical Society 1998