Geodesic
On the distribution of points on the modular hyperbola
Dalʹnevostočnyj matematičeskij žurnal, Tome 14 (2014) no. 2, pp. 141-155 Cet article a éte moissonné depuis la source Math-Net.Ru

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It is known that solutions of determinant equation $\bigl|\begin{smallmatrix} a & x\\ y & z \end{smallmatrix}\bigr|=q$ are uniformly distributed. The article contains similar results when the variables satisfy additional restrictions $(a,x)=1$ or $(a,x,y,z)=1$. 
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V. I. Bernik; A. V. Ustinov. On the distribution of points on the modular hyperbola. Dalʹnevostočnyj matematičeskij žurnal, Tome 14 (2014) no. 2, pp. 141-155. http://geodesic.mathdoc.fr/item/DVMG_2014_14_2_a1/

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