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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)
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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
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1967, Volume 31, Issue 1, Pages 123–148
Bibliographic databases:
UDC: 511
MSC: 11L05, 11L20, 11Pxx
Language: English
Original paper language: Russian
Citation: A. I. Vinogradov, “On the cubic Gauss sum”, Izv. Akad. Nauk SSSR Ser. Mat., 31:1 (1967), 123–148; 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 Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1967
\vol 31
\issue 1
\pages 123--148
\mathnet{http://mi.mathnet.ru/im2532}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=207666}
\zmath{https://zbmath.org/?q=an:0157.08903|0165.05802}
\transl
\jour Math. USSR-Izv.
\yr 1967
\vol 1
\issue 1
\pages 113--138
\crossref{https://doi.org/10.1070/IM1967v001n01ABEH000550}
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  • https://www.mathnet.ru/eng/im/v31/i1/p123
    Erratum
    This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:636
    Russian version PDF:210
    English version PDF:8
    References:45
    First page:1
     
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