Geodesic
An estimation of Kloosterman sums
Izvestiya. Mathematics, Tome 5 (1971) no. 2, pp. 319-336 
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/
@article{IM2_1971_5_2_a3,
     author = {S. A. Stepanov},
     title = {An estimation of {Kloosterman} sums},
     journal = {Izvestiya. Mathematics},
     pages = {319--336},
     year = {1971},
     volume = {5},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1971_5_2_a3/}
}
TY  - JOUR
AU  - S. A. Stepanov
TI  - An estimation of Kloosterman sums
JO  - Izvestiya. Mathematics
PY  - 1971
SP  - 319
EP  - 336
VL  - 5
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/IM2_1971_5_2_a3/
LA  - en
ID  - IM2_1971_5_2_a3
ER  - 
%0 Journal Article
%A S. A. Stepanov
%T An estimation of Kloosterman sums
%J Izvestiya. Mathematics
%D 1971
%P 319-336
%V 5
%N 2
%U http://geodesic.mathdoc.fr/item/IM2_1971_5_2_a3/
%G en
%F IM2_1971_5_2_a3

Voir la notice de l'article provenant de la source Math-Net.Ru

A. Weil's theorem on a bound for Kloosterman sums is proved by an elementary method.

[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