Indefinite Forms

Duncan A. Buell
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Duncan A. Buell: Supercomputing Research Center

Chapter Chapter 3 in Binary Quadratic Forms, 1989, pp 21-48 from Springer

Abstract: Abstract We now consider the indefinite forms, that is, the forms of positive discriminant Δ = D > 0. Our treatment will closely follow that of Mathews, our goal again being the determination of canonical forms for the equivalence classes. In the case of negative discriminants, the “reduced” forms are essentially unique in a given equivalence class. For positive discriminants, however, it is not only the case that many reduced forms can lie in the same class, an elegant structure is possessed by the reduced forms-they form cycles. An indefinite form (a, b, c) of discriminant D > 0 is called reduced if 3.1 $$ \begin{array}{l} {\rm{ 0

Date: 1989
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DOI: 10.1007/978-1-4612-4542-1_3

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