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Dal'nevostochnyi Matematicheskii Zhurnal, 2014, Volume 14, Number 1, Pages 90–95 (Mi dvmg275)  

This article is cited in 1 scientific paper (total in 1 paper)

Calculation of a Gauss sum via the discrete Fourier transform

A. V. Ustinov

Institute for Applied Mathematics, Khabarovsk Division, Far-Eastern Branch of the Russian Academy of Sciences
Full-text PDF (114 kB) Citations (1)
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Abstract: The explicit formula for a Gauss sum is proved using the discrete Fourier transform. The Gauss quadratic reciprocity law is established as a corollary.
Key words: Gauss sum, discrete Fourier transform, Gauss quadratic reciprocity law.
Received: 23.02.2014
Document Type: Article
UDC: 511.336+511.212
MSC: Primary 11L05; Secondary 11A15
Language: Russian
Citation: A. V. Ustinov, “Calculation of a Gauss sum via the discrete Fourier transform”, Dal'nevost. Mat. Zh., 14:1 (2014), 90–95
Citation in format AMSBIB
\Bibitem{Ust14}
\by A.~V.~Ustinov
\paper Calculation of a Gauss sum via the discrete Fourier transform
\jour Dal'nevost. Mat. Zh.
\yr 2014
\vol 14
\issue 1
\pages 90--95
\mathnet{http://mi.mathnet.ru/dvmg275}
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  • https://www.mathnet.ru/eng/dvmg/v14/i1/p90
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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