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Sbornik: Mathematics, 2022, Volume 213, Issue 2, Pages 216–234
DOI: https://doi.org/10.1070/SM9572 (Mi sm9572) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Vinogradov's sieve and an estimate for an incomplete Kloosterman sum

M. A. Korolev

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
English version PDF (526 kB) Citations (1) Russian version article
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DOI: https://doi.org/10.1070/SM9572
Abstract: We refine a bound for a short Kloosterman sum with a prime modulus $q$ using the so-called Vinogradov sieve. The number of terms in the sum can be less than an arbitrarily small fixed power of $q$.
Bibliography: 26 titles.
Keywords: Vinogradov sieve, Karatsuba's method, short Kloosterman sum, residue inverse.
Funding agency Grant number
Russian Science Foundation 19-11-00001
This research was supported by the Russian Science Foundation under grant no. 19-11-00001 and performed at the Steklov Mathematical Institute of Russian Academy of Sciences.
Received: 03.03.2021
Bibliographic databases:
Document Type: Article
UDC: 511.33
MSC: 11L05
Language: English
Original paper language: Russian
Citation: M. A. Korolev, “Vinogradov's sieve and an estimate for an incomplete Kloosterman sum”, Sb. Math., 213:2 (2022), 216–234
Citation in format AMSBIB
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\by M.~A.~Korolev
\paper Vinogradov's sieve and an estimate for an incomplete Kloosterman sum
\jour Sb. Math.
\yr 2022
\vol 213
\issue 2
\pages 216--234
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  • https://doi.org/10.1070/SM9572
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    References:56
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