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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive

Izv. Akad. Nauk SSSR Ser. Mat., 1967 Volume 31, Issue 1, Pages 123–148 (Mi im2532)

This article is cited in 1 paper

On the cubic Gauss sum

A. I. Vinogradov


Abstract: 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.

UDC: 511

MSC: 11L05, 11L20, 11Pxx

Received: 20.05.1966


 English version:
Mathematics of the USSR-Izvestiya, 1967, 1:1, 113–138

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