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
Voir la notice de l'article provenant de la source Math-Net.Ru
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.
@article{ZNSL_1998_254_a1,
author = {E. P. Golubeva},
title = {Geodesics on the upper half-plane and distribution of quadratic irrationalities},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {28--55},
publisher = {mathdoc},
volume = {254},
year = {1998},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1998_254_a1/}
}
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/