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Sibirskii Matematicheskii Zhurnal, 2003, Volume 44, Number 1, Pages 21–26 (Mi smj1160)  
This article is cited in 5 scientific papers (total in 5 papers)

On explicit formulas for the number of solutions to the equation $(x_1+\dots+x_n)^2=ax_1\dots x_n$ in a finite field

Yu. N. Baulina

Moscow State Pedagogical University
Full-text PDF (162 kB) Citations (5)
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Abstract: We consider the equation of the title in a finite field of $q$ elements. Assuming certain relations between $n$ and $q$, we obtain explicit formulas for the number of solutions to this equation.
Keywords: equation in a finite field, Gauss sum, Jacobi sum.
Received: 17.05.2002
English version:
Siberian Mathematical Journal, 2003, Volume 44, Issue 1, Pages 17–21
DOI: https://doi.org/10.1023/A:1022052018130
Bibliographic databases:
UDC: 512.624.3
Language: Russian
Citation: Yu. N. Baulina, “On explicit formulas for the number of solutions to the equation $(x_1+\dots+x_n)^2=ax_1\dots x_n$ in a finite field”, Sibirsk. Mat. Zh., 44:1 (2003), 21–26; Siberian Math. J., 44:1 (2003), 17–21
Citation in format AMSBIB
\Bibitem{Bao03}
\by Yu.~N.~Baulina
\paper On explicit formulas for the number of solutions to the equation $(x_1+\dots+x_n)^2=ax_1\dots x_n$ in a finite field
\jour Sibirsk. Mat. Zh.
\yr 2003
\vol 44
\issue 1
\pages 21--26
\mathnet{http://mi.mathnet.ru/smj1160}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1967603}
\zmath{https://zbmath.org/?q=an:1048.11097}
\transl
\jour Siberian Math. J.
\yr 2003
\vol 44
\issue 1
\pages 17--21
\crossref{https://doi.org/10.1023/A:1022052018130}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000181022100002}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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