The connection between quadratic forms and the extended modular group

Ahmet Tekcan; Osman Bizim

Mathematica Bohemica (2003)

  • Volume: 128, Issue: 3, page 225-236
  • ISSN: 0862-7959

Abstract

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In this paper some properties of quadratic forms whose base points lie in the point set F Π ¯ , the fundamental domain of the modular group, and transforming these forms into the reduced forms with the same discriminant Δ < 0 are given.

How to cite

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Tekcan, Ahmet, and Bizim, Osman. "The connection between quadratic forms and the extended modular group." Mathematica Bohemica 128.3 (2003): 225-236. <http://eudml.org/doc/249236>.

@article{Tekcan2003,
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.},
author = {Tekcan, Ahmet, Bizim, Osman},
journal = {Mathematica Bohemica},
keywords = {binary quadratic forms; reduced forms; extended modular group; binary quadratic forms; reduced forms; extended modular group},
language = {eng},
number = {3},
pages = {225-236},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {The connection between quadratic forms and the extended modular group},
url = {http://eudml.org/doc/249236},
volume = {128},
year = {2003},
}

TY - JOUR
AU - Tekcan, Ahmet
AU - Bizim, Osman
TI - The connection between quadratic forms and the extended modular group
JO - Mathematica Bohemica
PY - 2003
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 128
IS - 3
SP - 225
EP - 236
AB - 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.
LA - eng
KW - binary quadratic forms; reduced forms; extended modular group; binary quadratic forms; reduced forms; extended modular group
UR - http://eudml.org/doc/249236
ER -

References

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  1. Generators and Relations for Discrete Groups, Springer, Berlin, 1957. (1957) MR0088489
  2. Introduction to Number Theory, Wiley, 1989. (1989) Zbl0651.10001MR0972739

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