TY  - JOUR
T1  - THE BASE POINTS OF INDEFINITE QUADRATIC FORMS IN THE CYCLE AND PROPER CYCLE OF AN INDEFINITE QUADRATIC FORM
TT  - THE BASE POINTS OF INDEFINITE QUADRATIC FORMS IN THE CYCLE AND PROPER CYCLE OF AN INDEFINITE QUADRATIC FORM
AU  - Tekcan, A.
PY  - 2007
DA  - February
JF  - Hacettepe Journal of Mathematics and Statistics
PB  - Hacettepe University
WT  - DergiPark
SN  - 2651-477X
SP  - 101
EP  - 114
VL  - 36
IS  - 2
LA  - en
AB  - 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.
KW  - Quadratic form
KW  - Indefinite form
KW  - Cycle
KW  - Proper cycle
KW  - Right neighbor
KW  - Base point
CR  - Buchmann. J. Algorithms for Binary Quadratic Forms (Darmstadt, 2000).
CR  - Flath, D. E. Introduction To Number Theory (Wiley, 1989).
CR  - Tekcan, A. Proper cycles of indefinite quadratic forms and their right neighbors, Applications of Mathematics 52 (5), 407–415, 2007.
UR  - https://dergipark.org.tr/en/pub/hujms/issue//101588
L1  - https://dergipark.org.tr/en/download/article-file/86885
ER  -