Abstract
To each indefinite integral binary quadratic form Q, we may associate the geodesic in 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.
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References
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This work was partially supported by Ministry of Education, Science and Technological Development of Republic of Serbia, Project no. 174012.
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Ɖokić, D. A note on the distribution of angles associated to indefinite integral binary quadratic forms. Czech Math J 69, 443–452 (2019). https://doi.org/10.21136/CMJ.2018.0370-17
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DOI: https://doi.org/10.21136/CMJ.2018.0370-17
Keywords
- Weyl sum
- indefinite integral binary quadratic form
- real quadratic field
- geodesic
- asymptotic distribution