MATHEMATICA BOHEMICA, Vol. 128, No. 3, pp. 225-236, 2003

The connection between quadratic forms and the extended modular group

Ahmet Tekcan, Osman Bizim

Ahmet Tekcan, Osman Bizim, University of Uludag, Faculty of Science, Dept. of Mathematics, Gorukle 16059, Bursa-Turkey, e-mails: fahmet@uludag.edu.tr, obizim@uludag.edu.tr

Abstract: 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.

Keywords: binary quadratic forms, reduced forms, extended modular group

Classification (MSC 2000): 11E25


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