Far Eastern Mathematical Journal

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On the distribution of points on the modular hyperbola


V. I. Bernik, A. V. Ustinov

2014, issue 2, Ń. 141–155


Abstract
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 $(a,x,y,z)=1$.

Keywords:
Kloosterman sums, modular hyperbola

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