Geodesic
On Points of the Modular Hyperbola under the Graph of a Linear Function
Matematičeskie zametki, Tome 97 (2015) no. 2, pp. 296-301

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For the number of solutions of the congruence $xy\equiv 1\,(\operatorname{mod} p)$ under the graph of a linear function, an asymptotic formula with square root cancellation in the error term is proved.
Keywords: modular hyperbola
Mots-clés : Fourier coefficient. 
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     author = {A. V. Ustinov},
     title = {On {Points} of the {Modular} {Hyperbola} under the {Graph} of a {Linear} {Function}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {296--301},
     publisher = {mathdoc},
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     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2015_97_2_a11/}
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A. V. Ustinov. On Points of the Modular Hyperbola under the Graph of a Linear Function. Matematičeskie zametki, Tome 97 (2015) no. 2, pp. 296-301. http://geodesic.mathdoc.fr/item/MZM_2015_97_2_a11/