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.
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
Keywords: Weyl sum; indefinite integral binary quadratic form; real quadratic field; geodesic; asymptotic distribution
@article{10_21136_CMJ_2018_0370_17,
author = {{\DJ}oki\'c, Dragan},
title = {A note on the distribution of angles associated to indefinite integral binary quadratic forms},
journal = {Czechoslovak Mathematical Journal},
pages = {443--452},
publisher = {mathdoc},
volume = {69},
number = {2},
year = {2019},
doi = {10.21136/CMJ.2018.0370-17},
mrnumber = {3959957},
zbl = {07088797},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2018.0370-17/}
}
TY - JOUR AU - Đokić, Dragan TI - A note on the distribution of angles associated to indefinite integral binary quadratic forms JO - Czechoslovak Mathematical Journal PY - 2019 SP - 443 EP - 452 VL - 69 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2018.0370-17/ DO - 10.21136/CMJ.2018.0370-17 LA - en ID - 10_21136_CMJ_2018_0370_17 ER -
%0 Journal Article %A Đokić, Dragan %T A note on the distribution of angles associated to indefinite integral binary quadratic forms %J Czechoslovak Mathematical Journal %D 2019 %P 443-452 %V 69 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2018.0370-17/ %R 10.21136/CMJ.2018.0370-17 %G en %F 10_21136_CMJ_2018_0370_17
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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