Proofs Based on the Theory of Quadratic Forms

Oswald Baumgart

Chapter Chapter 6 in The Quadratic Reciprocity Law, 2015, pp 63-69 from Springer

Abstract: Abstract Recall that the complex of all equivalent forms of the same discriminant is called a form class form class. If the integers a, b, c in the form1 (a, b, c) are coprime, then the form is called primitive. form primitive If the [greatest common] divisor σ of a, 2b, c is 1, then (a, b, c) is called a form form first kind of the first kind, and if σ = 2 it is called a form of the second form second kind kind. An ambiguous form ambiguous form2 is a form in which the double middle coefficient 2b is divisible by the first. The form (1, 0, −D) is called the principal form principal form of discriminant D; its class is called the principal class principal class. If the outer coefficients of a form are positive, then the form itself is called positive. form positive

Keywords: Outlier Coefficient; Principal Classes; Principal Form; Coprime; General Principals (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/978-3-319-16283-6_6

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