- Hacettepe Journal of Mathematics and Statistics
- Vol: 36 Issue: 2
- THE BASE POINTS OF INDEFINITE QUADRATIC FORMS IN THE CYCLE AND PROPER CYCLE OF AN INDEFINITE QUADRAT...
THE BASE POINTS OF INDEFINITE QUADRATIC FORMS IN THE CYCLE AND PROPER CYCLE OF AN INDEFINITE QUADRATIC FORM
Authors : A. Tekcan
Pages : 101-114
View : 13 | Download : 10
Publication Date : 2007-02-01
Article Type : Research
Abstract :Let F = (a, b, c) be an indefinite quadratic form of discriminant ∆ > 0. In the first section, we give some preliminaries from binary quadratic forms. In the second section, we derive some results concerning the base points of indefinite quadratic forms in the cycle and proper cycle of F using the transformations τ (F) = (−a, b, −c), ξ(F) = (c, b, a), χ(F) = (−c, b, −a), ψ(F) = (−a, −b, −c), and the right neighbor R i (F) of F for i ≥ 0.Keywords : Quadratic form, Indefinite form, Cycle, Proper cycle, Right neighbor, Base point