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Dal'nevostochnyi Matematicheskii Zhurnal, 2020, Volume 20, Number 1, Pages 9–14
DOI: https://doi.org/10.47910/FEMJ202002 (Mi dvmg415) 		 
On Gauss and Kloosterman sums

M. O. Avdeeva, N. V. Gorbatuk, N. A. Shul'ga

Khabarovsk Division of the Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences
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DOI: https://doi.org/10.47910/FEMJ202002
Abstract: In this paper we calculate averages by parameters of Kloosterman sums, which include Dirichlet characters. They appear when constructing arithmetic trace formulas in the theory of automorphic forms.
Key words: Dirichlet characters, Gauss sums, Kloosterman sums.
Funding agency Grant number
Russian Science Foundation 19-11-00065
Foundation for the Development of Theoretical Physics and Mathematics BASIS
Ministry of Science and Higher Education of the Russian Federation
Received: 12.05.2020
Document Type: Article
UDC: 511.336, 511.335
MSC: Primary 11L05; Secondary 11D45
Language: Russian
Citation: M. O. Avdeeva, N. V. Gorbatuk, N. A. Shul'ga, “On Gauss and Kloosterman sums”, Dal'nevost. Mat. Zh., 20:1 (2020), 9–14
Citation in format AMSBIB
\Bibitem{AvdGorShu20}
\by M.~O.~Avdeeva, N.~V.~Gorbatuk, N.~A.~Shul'ga
\paper On Gauss and Kloosterman sums
\jour Dal'nevost. Mat. Zh.
\yr 2020
\vol 20
\issue 1
\pages 9--14
\mathnet{http://mi.mathnet.ru/dvmg415}
\crossref{https://doi.org/10.47910/FEMJ202002}
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