Geodesics on the upper half-plane and distribution of quadratic irrationalities
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 15, Tome 254 (1998), pp. 28-55

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It is proved that the well-known results by Duke and Iwaniec on the estimates of the Fourier coefficients of modular forms of half-integer weight do not allow one to obtain a distribution law for quadratic irrationalities with fixed discriminant.
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     author = {E. P. Golubeva},
     title = {Geodesics on the upper half-plane and distribution of quadratic irrationalities},
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     volume = {254},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_1998_254_a1/}
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E. P. Golubeva. Geodesics on the upper half-plane and distribution of quadratic irrationalities. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 15, Tome 254 (1998), pp. 28-55. http://geodesic.mathdoc.fr/item/ZNSL_1998_254_a1/