Ahmet TEKCAN

THE BASE POINTS OF INDEFINITE QUADRATIC FORMS IN THE CYCLE AND PROPER CYCLE OF AN INDEFINITE QUADRATIC FORM

Yayın Aralığı: 6
Başlangıç: 2002
Yayıncı: Hacettepe Üniversitesi Fen Fakultesi

Let F = (a, b, c) be an indefinite quadratic form of discriminant ∆ > 0.In the first section, we give some preliminaries from binary quadraticforms. In the second section, we derive some results concerning thebase points of indefinite quadratic forms in the cycle and proper cycleof 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 Ri(F)of F for i ≥ 0.

Keywords:

Quadratic form, Indefinite form, Cycle, Proper cycle, Right neighbor Base point,

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Flath, D. E. Introduction To Number Theory (Wiley, 1989).
Tekcan, A. Proper cycles of indefinite quadratic forms and their right neighbors, Applications of Mathematics 52 (5), 407–415, 2007.