Geodesic
A note on the distribution of angles associated to indefinite integral binary quadratic forms
Czechoslovak Mathematical Journal, Tome 69 (2019) no. 2, pp. 443-452
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To each indefinite integral binary quadratic form $Q$, we may associate the geodesic in $\mathbb {H}$ through the roots of quadratic equation $Q(x,1)$. In this paper we study the asymptotic distribution (as discriminant tends to infinity) of the angles between these geodesics and one fixed vertical geodesic which intersects all of them.
To each indefinite integral binary quadratic form $Q$, we may associate the geodesic in $\mathbb {H}$ through the roots of quadratic equation $Q(x,1)$. In this paper we study the asymptotic distribution (as discriminant tends to infinity) of the angles between these geodesics and one fixed vertical geodesic which intersects all of them.
DOI : 10.21136/CMJ.2018.0370-17
Classification : 06B10, 11L15, 62E20
Keywords: Weyl sum; indefinite integral binary quadratic form; real quadratic field; geodesic; asymptotic distribution 
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Đokić, Dragan. A note on the distribution of angles associated to indefinite integral binary quadratic forms. Czechoslovak Mathematical Journal, Tome 69 (2019) no. 2, pp. 443-452. doi: 10.21136/CMJ.2018.0370-17

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