Geodesic
On the distribution of points on the modular hyperbola
Dalʹnevostočnyj matematičeskij žurnal, Tome 14 (2014) no. 2, pp. 141-155.

Voir la notice de l'article provenant de la source Math-Net.Ru

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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