Ahmet Tekcan
Neighbors of Indefinite Binary Quadratic Forms
263 - 269
2011
5
3
International Journal of Mathematical and Computational Sciences
https://publications.waset.org/pdf/2855
https://publications.waset.org/vol/51
World Academy of Science, Engineering and Technology
In this paper, we derive some algebraic identities on
right and left neighbors R(F) and L(F) of an indefinite binary
quadratic form F F(x, y) ax2 bxy cy2 of discriminant
Δ b2 4ac. We prove that the proper cycle of F can be given by
using its consecutive left neighbors. Also we construct a connection
between right and left neighbors of F.
Open Science Index 51, 2011