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Article

Keywords:
binary quadratic forms; reduced forms; extended modular group
Summary:
In this paper some properties of quadratic forms whose base points lie in the point set $F_{\overline{\Pi }}$, the fundamental domain of the modular group, and transforming these forms into the reduced forms with the same discriminant $\Delta <0$ are given.
References:
[1] Coxeter, H. S. M., Moser W. O. J.: Generators and Relations for Discrete Groups. Springer, Berlin, 1957. MR 0088489
[2] Flath, D. E.: Introduction to Number Theory. Wiley, 1989. MR 0972739 | Zbl 0651.10001
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