On the cubic Gauss sum
Izvestiya. Mathematics, Tome 1 (1967) no. 1, pp. 113-138 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

This article refutes the Kummer conjecture on the behavior of the argument of the cubic Gauss sum. It is proved that the prime numbers are uniformly distributed over the Kummer classes.
@article{IM2_1967_1_1_a7,
     author = {A. I. Vinogradov},
     title = {On the cubic {Gauss} sum},
     journal = {Izvestiya. Mathematics},
     pages = {113--138},
     year = {1967},
     volume = {1},
     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1967_1_1_a7/}
}
TY  - JOUR
AU  - A. I. Vinogradov
TI  - On the cubic Gauss sum
JO  - Izvestiya. Mathematics
PY  - 1967
SP  - 113
EP  - 138
VL  - 1
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/IM2_1967_1_1_a7/
LA  - en
ID  - IM2_1967_1_1_a7
ER  - 
%0 Journal Article
%A A. I. Vinogradov
%T On the cubic Gauss sum
%J Izvestiya. Mathematics
%D 1967
%P 113-138
%V 1
%N 1
%U http://geodesic.mathdoc.fr/item/IM2_1967_1_1_a7/
%G en
%F IM2_1967_1_1_a7
A. I. Vinogradov. On the cubic Gauss sum. Izvestiya. Mathematics, Tome 1 (1967) no. 1, pp. 113-138. http://geodesic.mathdoc.fr/item/IM2_1967_1_1_a7/

[1] Xasse G., Lektsii po teorii chisel, IL, M., 1953

[2] Titchmarsh E. K., Teoriya dzeta-funktsii Rimana, IL, M., 1953

[3] Vinogradov I. M., Metod trigonometricheskikh summ v teorii chisel, Tr. Matem. in-ta im. V. A. Steklova AN SSSR, XXIII, 1947 | MR | Zbl