On a symmetric Diophantine equation with reciprocals
- Authors: Konyagin S.V.1, Korolev M.A.1
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Affiliations:
- Steklov Mathematical Institute of Russian Academy of Sciences
- Issue: Vol 294, No 1 (2016)
- Pages: 67-77
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/173899
- DOI: https://doi.org/10.1134/S0081543816060043
- ID: 173899
Cite item
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.
About the authors
S. V. Konyagin
Steklov Mathematical Institute of Russian Academy of Sciences
Author for correspondence.
Email: konyagin@mi.ras.ru
Russian Federation, ul. Gubkina 8, Moscow, 119991
M. A. Korolev
Steklov Mathematical Institute of Russian Academy of Sciences
Email: konyagin@mi.ras.ru
Russian Federation, ul. Gubkina 8, Moscow, 119991
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