Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2009, Number 2, Pages 77–80 (Mi vmumm868)  

Short notes

A generalization of the Gauss sum

H. M. Saliba, V. N. Chubarikov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Abstract: For the generalized Gauss sum
$$ S(N;a,q)=\sum\limits_{k=1}^{Nq} e\bigg(\frac1N \Big( k-\frac{a}{q}\Big)^2\bigg), $$
where $N,q$ are natural numbers, $a$ is integer, $0\leq a<q$, $(a,q)=1$, its value is determined.
Key words: Gauss sum, Poisson summation.
Funding agency Grant number
Russian Foundation for Basic Research 04-01-00566a
Received: 26.09.2008
Bibliographic databases:
Document Type: Article
UDC: 511
Language: Russian
Citation: H. M. Saliba, V. N. Chubarikov, “A generalization of the Gauss sum”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2009, no. 2, 77–80
Citation in format AMSBIB
\Bibitem{SalChu09}
\by H.~M.~Saliba, V.~N.~Chubarikov
\paper A generalization of the Gauss sum
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2009
\issue 2
\pages 77--80
\mathnet{http://mi.mathnet.ru/vmumm868}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2482353}
\zmath{https://zbmath.org/?q=an:1304.11081}
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