Abstract
Recent work of Bhargava has described higher composition laws that, among other things, subsume the composition of binary quadratic forms first given by Gauss. Bhargava’s presentation, however, does not provide an algorithmic method for compounding forms in the manner of Arndt’s classical composition method. In this paper, we will show, given two binary quadratic forms, how to find the Bhargava cube that represents their composition, and we will show that this can be done by what is essentially Arndt’s classical method.
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