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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 q0.5+ε. 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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\pages 84--94
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Linking options:
  • https://www.mathnet.ru/eng/mzm12339
  • https://doi.org/10.4213/mzm12339
  • https://www.mathnet.ru/eng/mzm/v106/i1/p84
    • This publication is cited in the following 4 articles:
    1. M. A. Korolev, “Kloosterman Sums with Primes and Solvability of a Congruence with Inverse Residues”, Proc. Steklov Inst. Math., 314 (2021), 96–126  mathnet  crossref  crossref  isi  elib
    2. M. A. Korolev, M. E. Changa, “New Estimate for Kloosterman Sums with Primes”, Math. Notes, 108:1 (2020), 87–93  mathnet  crossref  crossref  mathscinet  isi  elib
    3. M. A. Korolev, “Kloosterman sums with primes and the solvability of one congruence with inverse residues — II”, Chebyshevskii sb., 21:1 (2020), 221–232  mathnet  crossref  mathscinet
    4. M. A. Korolev, “Kloosterman sums over primes of composite moduli”, Res. Number Theory, 6:2 (2020), 24  crossref  mathscinet  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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    References:68
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