Geodesic
On the Number of Integer Points Whose First Coordinates Satisfy a Divisibility Condition on Hyperboloids of a Special Form
Matematičeskie zametki, Tome 100 (2016) no. 6, pp. 881-886.

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The discrete ergodic method is applied to obtain an asymptotic expression for the number of all integer points in a given bounded domain on a three-dimensional hyperboloid of genus determined by the invariants $[w,2]$, where $w$ is odd, such that the first coordinates of these points are divisible by $w$.
Keywords: discrete ergodic method, ternary quadratic form, number of classes of binary quadratic forms, integer point on a hyperboloid, asymptotic relation. 
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U. M. Pachev; R. A. Dokhov. On the Number of Integer Points Whose First Coordinates Satisfy a Divisibility Condition on Hyperboloids of a Special Form. Matematičeskie zametki, Tome 100 (2016) no. 6, pp. 881-886. http://geodesic.mathdoc.fr/item/MZM_2016_100_6_a9/

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