A note on the distribution of angles associated to indefinite integral binary quadratic forms
Czechoslovak Mathematical Journal (2019)
- Volume: 69, Issue: 2, page 443-452
- ISSN: 0011-4642
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topĐokić, Dragan. "A note on the distribution of angles associated to indefinite integral binary quadratic forms." Czechoslovak Mathematical Journal 69.2 (2019): 443-452. <http://eudml.org/doc/294724>.
@article{Đokić2019,
abstract = {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.},
author = {Đokić, Dragan},
journal = {Czechoslovak Mathematical Journal},
keywords = {Weyl sum; indefinite integral binary quadratic form; real quadratic field; geodesic; asymptotic distribution},
language = {eng},
number = {2},
pages = {443-452},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A note on the distribution of angles associated to indefinite integral binary quadratic forms},
url = {http://eudml.org/doc/294724},
volume = {69},
year = {2019},
}
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
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 69
IS - 2
SP - 443
EP - 452
AB - 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.
LA - eng
KW - Weyl sum; indefinite integral binary quadratic form; real quadratic field; geodesic; asymptotic distribution
UR - http://eudml.org/doc/294724
ER -
References
top- Buell, D. A., 10.1007/978-1-4612-4542-1, Springer, New York (1989). (1989) Zbl0698.10013MR1012948DOI10.1007/978-1-4612-4542-1
- Duke, W., Friedlander, J. B., Iwaniec, H., 10.1093/imrn/rnr112, Int. Math. Res. Not. 2012 (2012), 2493-2549 erratum ibid. 2012 2646-2648 2012. (2012) Zbl1300.11086MR2926988DOI10.1093/imrn/rnr112
- Iwaniec, H., Kowalski, E., 10.1090/coll/053, American Mathematical Society Colloquium Publications 53, American Mathematical Society, Providence (2004). (2004) Zbl1059.11001MR2061214DOI10.1090/coll/053
- Murty, M. R., 10.I007/978-1-4757-3441-6, Graduate Texts in Mathematics 206, Springer, New York (2008). (2008) Zbl1190.11001MR1803093DOI10.I007/978-1-4757-3441-6
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