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Exponential Sums on Reduced Residue Systems

Published online by Cambridge University Press:  20 November 2018

W. K. A. Loh
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Abstract

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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 $f(x)$.

Keywords

11L07
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 41 , Issue 2 , 01 June 1998 , pp. 187 - 195
Copyright
Copyright © Canadian Mathematical Society 1998

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