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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive
Trudy Mat. Inst. Steklova, 2016 Volume 294, Pages 76–86 (Mi tm3732)
This article is cited 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

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.

UDC: 511.5+511.321

Received: April 13, 2016

DOI: 10.1134/S0371968516030043


 English version: Proceedings of the Steklov Institute of Mathematics, 2016, 294, 67–77

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© Steklov Math. Inst. of RAS, 2025