Yoshio MIMURA [味村 良雄] （神戸薬科大学）

２次形式の対角種

Abstract

In this note we study diagonal genera of positive definite quadratic forms over rational integers. Such a genus can be constructed of lower dimensional genera. So the two-dimensional case is fundamental. We will find all diagonal genera on the assumption that we have the complete list of two-dimensional diagonal genera. Consequently we will obtain the list of quadratic forms of class number one.

(Libra vol.4, pp.83-98, 2002)

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