Geodesic
Estimate of a  complete rational trigonometric su
Matematičeskie zametki, Tome 17 (1975) no. 6, pp. 839-849 Cet article a éte moissonné depuis la source Math-Net.Ru

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Supposef is a polynomial of degree $n\ge3$ with integral coefficientsa $a_0,a_1,\dots,a_n$; $q$ is a natural number; ($a_1,\dots,a_n, q)=1$ $f(0)=0$. It is proved that $$ \Bigl|\sum_{x=1}^qe^{2\pi if(x)/q}\Bigr|<e^{5n^2/\ln n}q^{1-1/n}. $$ 
@article{MZM_1975_17_6_a1,
     author = {V. I. Nechaev},
     title = {Estimate of a ~complete rational trigonometric su},
     journal = {Matemati\v{c}eskie zametki},
     pages = {839--849},
     year = {1975},
     volume = {17},
     number = {6},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1975_17_6_a1/}
}
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V. I. Nechaev. Estimate of a  complete rational trigonometric su. Matematičeskie zametki, Tome 17 (1975) no. 6, pp. 839-849. http://geodesic.mathdoc.fr/item/MZM_1975_17_6_a1/