{"title":"Neighbors of Indefinite Binary Quadratic Forms","authors":"Ahmet Tekcan","country":null,"institution":"","volume":51,"journal":"International Journal of Mathematical and Computational Sciences","pagesStart":263,"pagesEnd":270,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/2855","abstract":"In this paper, we derive some algebraic identities on\r\nright and left neighbors R(F) and L(F) of an indefinite binary\r\nquadratic form F = F(x, y) = ax2 + bxy + cy2 of discriminant\r\n\u0394 = b2 -4ac. We prove that the proper cycle of F can be given by\r\nusing its consecutive left neighbors. Also we construct a connection\r\nbetween right and left neighbors of F.","references":null,"publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 51, 2011"}