| Title:
|
The connection between quadratic forms and the extended modular group (English) |
| Author:
|
Tekcan, Ahmet |
| Author:
|
Bizim, Osman |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
128 |
| Issue:
|
3 |
| Year:
|
2003 |
| Pages:
|
225-236 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| 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. (English) |
| Keyword:
|
binary quadratic forms |
| Keyword:
|
reduced forms |
| Keyword:
|
extended modular group |
| MSC:
|
11E10 |
| MSC:
|
11E16 |
| MSC:
|
11E25 |
| MSC:
|
11F06 |
| idZBL:
|
Zbl 1093.11024 |
| idMR:
|
MR2012601 |
| DOI:
|
10.21136/MB.2003.134178 |
| . |
| Date available:
|
2009-09-24T22:09:11Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134178 |
| . |
| Reference:
|
[1] Coxeter, H. S. M., Moser W. O. J.: Generators and Relations for Discrete Groups.Springer, Berlin, 1957. MR 0088489 |
| Reference:
|
[2] Flath, D. E.: Introduction to Number Theory.Wiley, 1989. Zbl 0651.10001, MR 0972739 |
| . |
