An estimation of Kloosterman sums
Izvestiya. Mathematics , Tome 5 (1971) no. 2, pp. 319-336

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A. Weil's theorem on a bound for Kloosterman sums is proved by an elementary method.
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     title = {An estimation of {Kloosterman} sums},
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S. A. Stepanov. An estimation of Kloosterman sums. Izvestiya. Mathematics , Tome 5 (1971) no. 2, pp. 319-336. http://geodesic.mathdoc.fr/item/IM2_1971_5_2_a3/