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Sbornik: Mathematics, 2017, Volume 208, Issue 12, Pages 1818–1834
DOI: https://doi.org/10.1070/SM8801 (Mi sm8801) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Irreducible solutions of an equation involving reciprocals

S. V. Konyagin, M. A. Korolev

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
English version PDF (475 kB) Citations (6)
References:
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DOI: https://doi.org/10.1070/SM8801
Abstract: An asymptotic formula, with a new estimate for the remainder term, is obtained for the number of solutions of a symmetric Diophantine equation involving reciprocal integers.
Bibliography: 7 titles.
Keywords: reciprocals, Diophantine equations, moments of Kloosterman sums.
Funding agency Grant number
Russian Science Foundation 14-50-00005
This work was supported by the Russian Science Foundation under grant no. 14-50-00005.
Received: 21.08.2016 and 20.02.2017
Russian version:
Matematicheskii Sbornik, 2017, Volume 208, Number 12, Pages 107–123
DOI: https://doi.org/10.4213/sm8801
Bibliographic databases:
Document Type: Article
UDC: 511.33+511.5
MSC: Primary 11D41, 11D72; Secondary 11L05
Language: English
Original paper language: Russian
Citation: S. V. Konyagin, M. A. Korolev, “Irreducible solutions of an equation involving reciprocals”, Mat. Sb., 208:12 (2017), 107–123; Sb. Math., 208:12 (2017), 1818–1834
Citation in format AMSBIB
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  • https://doi.org/10.1070/SM8801
  • https://www.mathnet.ru/eng/sm/v208/i12/p107
    • This publication is cited in the following 6 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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    Russian version PDF:89
    English version PDF:3
    References:35
    First page:29
     
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