Geodesic
On a~symmetric diophantine equation with reciprocals
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Modern problems of mathematics, mechanics, and mathematical physics. II, Tome 294 (2016), pp. 76-86

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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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     author = {S. V. Konyagin and M. A. Korolev},
     title = {On a~symmetric diophantine equation with reciprocals},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {76--86},
     publisher = {mathdoc},
     volume = {294},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2016_294_a3/}
}
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S. V. Konyagin; M. A. Korolev. On a~symmetric diophantine equation with reciprocals. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Modern problems of mathematics, mechanics, and mathematical physics. II, Tome 294 (2016), pp. 76-86. http://geodesic.mathdoc.fr/item/TM_2016_294_a3/