ON INDEFINITE BINARY QUADRATIC FORMS AND QUADRATIC IDEALS

Abstract. We consider some properties of indefinite binary quadratic forms F (x, y) = ax 2 +bxy −y 2 of discriminant ∆ = b 2 +4a, and quadratic ideals I = [a, b − √ ∆]. AMS Mathematics Subject Classification (2000): 11E04, 11E12, 11E16 Key words and phrases: Binary quadratic forms, ideals, cycles of forms,