On the cubic Gauss sum
Izvestiya. Mathematics, Tome 1 (1967) no. 1, pp. 113-138
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/}
}
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/