Geodesic
Exponential Sums on Reduced Residue Systems
Canadian mathematical bulletin, Tome 41 (1998) no. 2, pp. 187-195

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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 $f(x)$ .
DOI : 10.4153/CMB-1998-028-5
Mots-clés : 11L07 
Exponential Sums on Reduced Residue Systems. Canadian mathematical bulletin, Tome 41 (1998) no. 2, pp. 187-195. doi: 10.4153/CMB-1998-028-5
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     title = {Exponential {Sums} on {Reduced} {Residue} {Systems}},
     journal = {Canadian mathematical bulletin},
     pages = {187--195},
     year = {1998},
     volume = {41},
     number = {2},
     doi = {10.4153/CMB-1998-028-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1998-028-5/}
}
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