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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)
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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
Russian version:
Matematicheskii Sbornik, 2022, Volume 213, Number 2, Pages 96–114
DOI: https://doi.org/10.4213/sm9572
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”, Mat. Sb., 213:2 (2022), 96–114; Sb. Math., 213:2 (2022), 216–234
Citation in format AMSBIB
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