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Mathematics of the USSR-Izvestiya, 1967, Volume 1, Issue 1, Pages 113–138
DOI: https://doi.org/10.1070/IM1967v001n01ABEH000550 (Mi im2532) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On the cubic Gauss sum

A. I. Vinogradov
English version PDF (797 kB) Citations (1) Russian version article
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DOI: https://doi.org/10.1070/IM1967v001n01ABEH000550
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.
Received: 20.05.1966
Bibliographic databases:
UDC: 511
MSC: 11L05, 11L20, 11Pxx
Language: English
Original paper language: Russian
Citation: A. I. Vinogradov, “On the cubic Gauss sum”, Math. USSR-Izv., 1:1 (1967), 113–138
Citation in format AMSBIB
\Bibitem{Vin67}
\by A.~I.~Vinogradov
\paper On the cubic Gauss sum
\jour Math. USSR-Izv.
\yr 1967
\vol 1
\issue 1
\pages 113--138
\mathnet{http://mi.mathnet.ru//eng/im2532}
\crossref{https://doi.org/10.1070/IM1967v001n01ABEH000550}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=207666}
\zmath{https://zbmath.org/?q=an:0157.08903|0165.05802}
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  • https://www.mathnet.ru/eng/im/v31/i1/p123
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
     
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