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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) Russian version article
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
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”, Sb. Math., 208:12 (2017), 1818–1834
Citation in format AMSBIB
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\paper Irreducible solutions of an equation involving reciprocals
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\yr 2017
\vol 208
\issue 12
\pages 1818--1834
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Linking options:
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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
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