Geodesic
On incomplete Gaussian sums
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Modern problems of mathematics, mechanics, and mathematical physics, Tome 290 (2015), pp. 61-71

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Square-root bounds for the quadratic Gaussian sums are given with explicit constants. 
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     author = {M. A. Korolev},
     title = {On incomplete {Gaussian} sums},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {61--71},
     publisher = {mathdoc},
     volume = {290},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2015_290_a4/}
}
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M. A. Korolev. On incomplete Gaussian sums. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Modern problems of mathematics, mechanics, and mathematical physics, Tome 290 (2015), pp. 61-71. http://geodesic.mathdoc.fr/item/TM_2015_290_a4/