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Sbornik: Mathematics, 2018, Volume 209, Issue 5, Pages 652–659
DOI: https://doi.org/10.1070/SM8939 (Mi sm8939) 		 
This article is cited in 11 scientific papers (total in 11 papers)

New estimate for a Kloosterman sum with primes for a composite modulus

M. A. Korolev

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
English version PDF (423 kB) Citations (11)
References:
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DOI: https://doi.org/10.1070/SM8939
Abstract: For an arbitrary composite modulus $q$ a bound is obtained for a short Kloosterman sum with primes whose length exceeds $q^{7/10+\varepsilon}$. This bound improves the previous result by Fouvry and Shparlinski, which holds for sums of length at least $q^{3/4+\varepsilon}$.
Bibliography: 23 titles.
Keywords: Kloosterman sums, reciprocals for a given modulus, prime numbers, composite moduli.
Funding agency Grant number
Russian Science Foundation 14-11-00433
This work was supported by the Russian Science Foundation under grant no. 14-11-00433.
Received: 10.03.2017 and 14.08.2017
Russian version:
Matematicheskii Sbornik, 2018, Volume 209, Number 5, Pages 54–61
DOI: https://doi.org/10.4213/sm8939
Bibliographic databases:
Document Type: Article
UDC: 511.33
MSC: 11L05
Language: English
Original paper language: Russian
Citation: M. A. Korolev, “New estimate for a Kloosterman sum with primes for a composite modulus”, Mat. Sb., 209:5 (2018), 54–61; Sb. Math., 209:5 (2018), 652–659
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/sm/v209/i5/p54
    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник Sbornik: Mathematics
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    Abstract page:561
    Russian version PDF:46
    English version PDF:10
    References:41
    First page:22
     
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