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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2016, Volume 294, Pages 76–86
DOI: https://doi.org/10.1134/S0371968516030043 (Mi tm3732) 		 
This article is cited in 9 scientific papers (total in 9 papers)

On a symmetric diophantine equation with reciprocals

S. V. Konyagin, M. A. Korolev

Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
Full-text PDF (195 kB) Citations (9)
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DOI: https://doi.org/10.1134/S0371968516030043
Abstract: An asymptotic formula is obtained for the number of solutions to a symmetric Diophantine equation with reciprocals, and its applications to problems related to the distribution of values of short Kloosterman sums are presented.
Funding agency Grant number
Russian Science Foundation 14-50-00005
This work is supported by the Russian Science Foundation under grant 14-50-00005.
Received: April 13, 2016
English version:
Proceedings of the Steklov Institute of Mathematics, 2016, Volume 294, Pages 67–77
DOI: https://doi.org/10.1134/S0081543816060043
Bibliographic databases:
Document Type: Article
UDC: 511.5+511.321
Language: Russian
Citation: S. V. Konyagin, M. A. Korolev, “On a symmetric diophantine equation with reciprocals”, Modern problems of mathematics, mechanics, and mathematical physics. II, Collected papers, Trudy Mat. Inst. Steklova, 294, MAIK Nauka/Interperiodica, Moscow, 2016, 76–86; Proc. Steklov Inst. Math., 294 (2016), 67–77
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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