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On a symmetric Diophantine equation with reciprocals

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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.

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Authors and Affiliations

  1. Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991, Russia

    S. V. Konyagin & M. A. Korolev

Authors
  1. S. V. Konyagin
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  2. M. A. Korolev
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Correspondence to S. V. Konyagin.

Additional information

Original Russian Text © S.V. Konyagin, M.A. Korolev, 2016, published in Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2016, Vol. 294, pp. 76–86.

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Konyagin, S.V., Korolev, M.A. On a symmetric Diophantine equation with reciprocals. Proc. Steklov Inst. Math. 294, 67–77 (2016). https://doi.org/10.1134/S0081543816060043

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  • DOI: https://doi.org/10.1134/S0081543816060043

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