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.

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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