Geodesic
On the cubic Gauss sum
Izvestiya. Mathematics, Tome 1 (1967) no. 1, pp. 113-138 
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/
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

[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