Geodesic
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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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/

[1] Weil A., “On some exponential sums”, Proc. Nat. Acad. Sci. USA, 34:5 (1948), 204–207 | DOI | MR | Zbl

[2] Carlitz L., Uchiyama S., “Bounds for exponential sums”, Duke Math. J., 24:1 (1957), 37–43 | DOI | MR

[3] Carlitz L., “Kloosterman sums and finite field extensions”, Acta Arithmetika, 16:2 (1969), 179–193 | MR | Zbl

[4] Stepanov S. A., “Ob otsenke summ Veilya s prostym znamenatelem”, Izv. AN SSSR. Ser. matem., 34 (1970), 1015–1037 | MR