# 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

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- 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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