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Matematicheskie Zametki, 2019, Volume 106, Issue 1, Pages 84–94
DOI: https://doi.org/10.4213/mzm12339 (Mi mzm12339) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Short Kloosterman Sums with Primes

M. A. Korolev

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
Full-text PDF (516 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm12339
Abstract: A new estimate of the Kloosterman sum with primes modulo a prime number $q$ is obtained, in which the number of summands can be of order $q^{0.5+\varepsilon}$. This estimate refines results obtained earlier by J. Bourgain (2005) and R. Baker (2012).
Keywords: Kloosterman sum, primes, inverse residues.
Funding agency Grant number
Russian Science Foundation 19-11-00001
This work was supported by the Russian Science Foundation under grant 19-11-00001.
Received: 04.02.2019
Revised: 06.02.2019
English version:
Mathematical Notes, 2019, Volume 106, Issue 1, Pages 89–97
DOI: https://doi.org/10.1134/S0001434619070095
Bibliographic databases:
Document Type: Article
UDC: 511.33
Language: Russian
Citation: M. A. Korolev, “Short Kloosterman Sums with Primes”, Mat. Zametki, 106:1 (2019), 84–94; Math. Notes, 106:1 (2019), 89–97
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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