Reduction of Positive Definite Forms

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

Chapter Chapter 2 in Binary Quadratic Forms, 1989, pp 13-20 from Springer

Abstract: Abstract First to be considered are positive definite forms, that is, forms with negative discriminants Δ = −D. The primary goal of this chapter is to determine a canonical representative, called the reduced form, for each equivalence class of forms of negative discriminant. We define f = (a, b, c) to be reduced if 2.1 $$ |{\rm{ }}b{\rm{ |}} \le a \le c. $$

Date: 1989
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DOI: 10.1007/978-1-4612-4542-1_2

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