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Algebra and Discrete Mathematics, 2011, Volume 11, Issue 2, Pages 82–91 (Mi adm13)  
RESEARCH ARTICLE

Norm Kloosterman sums over $\mathbb Z[i]$

O. Savastru, S. Varbanets

ul. Dvoryanskaya 2, Dept. of computer algebra and discrete mathematics, Odessa national university, Odessa 65026, Ukraine
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Abstract: $n$-dimensional norm Kloosterman sums over the ring of the Gaussian numbers investigate. Nontrivial estimates of these sums were obtained.
Keywords: Kloosterman sum, Gaussian numbers.
Received: 14.03.2011
Revised: 05.05.2011
Bibliographic databases:
Document Type: Article
MSC: 11L05
Language: English
Citation: O. Savastru, S. Varbanets, “Norm Kloosterman sums over $\mathbb Z[i]$”, Algebra Discrete Math., 11:2 (2011), 82–91
Citation in format AMSBIB
\Bibitem{SavVar11}
\by O. Savastru, S. Varbanets
\paper Norm Kloosterman sums over $\mathbb Z[i]$
\jour Algebra Discrete Math.
\yr 2011
\vol 11
\issue 2
\pages 82--91
\mathnet{http://mi.mathnet.ru/adm13}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2858131}
\zmath{https://zbmath.org/?q=an:06120605}
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