Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 15, Tome 254 (1998), pp. 28-55
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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/
@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},
year = {1998},
volume = {254},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1998_254_a1/}
}
TY - JOUR
AU - E. P. Golubeva
TI - Geodesics on the upper half-plane and distribution of quadratic irrationalities
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1998
SP - 28
EP - 55
VL - 254
UR - http://geodesic.mathdoc.fr/item/ZNSL_1998_254_a1/
LA - ru
ID - ZNSL_1998_254_a1
ER -
%0 Journal Article
%A E. P. Golubeva
%T Geodesics on the upper half-plane and distribution of quadratic irrationalities
%J Zapiski Nauchnykh Seminarov POMI
%D 1998
%P 28-55
%V 254
%U http://geodesic.mathdoc.fr/item/ZNSL_1998_254_a1/
%G ru
%F ZNSL_1998_254_a1
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.
