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Matematicheskie Zametki, 2024, Volume 116, Issue 3, Pages 445–460
DOI: https://doi.org/10.4213/mzm14253 (Mi mzm14253) 		 
On estimating an inhomogeneous Kloosterman sum by the Karatsuba method

N. K. Semenova

Lomonosov Moscow State University
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DOI: https://doi.org/10.4213/mzm14253
Abstract: In the present paper, a new estimate for a short “inhomogeneous” Kloosterman sum modulo $q$ whose number of terms does not exceed $\sqrt{q}$ is obtained. This estimate refines the result of M. A. Korolev (2016).
Keywords: short Kloosterman sums, Karatsuba method.
Received: 03.02.2024
Revised: 17.02.2024
English version:
Mathematical Notes, 2024, Volume 116, Issue 3, Pages 527–540
DOI: https://doi.org/10.1134/S0001434624090128
Document Type: Article
UDC: 511.321
MSC: 11L05
Language: Russian
Citation: N. K. Semenova, “On estimating an inhomogeneous Kloosterman sum by the Karatsuba method”, Mat. Zametki, 116:3 (2024), 445–460; Math. Notes, 116:3 (2024), 527–540
Citation in format AMSBIB
\Bibitem{Sem24}
\by N.~K.~Semenova
\paper On estimating an inhomogeneous Kloosterman sum by the Karatsuba method
\jour Mat. Zametki
\yr 2024
\vol 116
\issue 3
\pages 445--460
\mathnet{http://mi.mathnet.ru/mzm14253}
\crossref{https://doi.org/10.4213/mzm14253}
\transl
\jour Math. Notes
\yr 2024
\vol 116
\issue 3
\pages 527--540
\crossref{https://doi.org/10.1134/S0001434624090128}
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