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Keywords:
Weyl sum; indefinite integral binary quadratic form; real quadratic field; geodesic; asymptotic distribution
Summary:
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.
References:
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