Abstract

In 2004, Bhargava introduced a new way to understand the composition law of integral binary quadratic forms through what he calls the ‘cubes of integers’. The goal of this article is to introduce the reader to Bhargava’s cubes and this new composition law, as well as to relate it to the composition law as it is known classically. We will present a historical exposition of the subject, from Gauss to Bhargava, and see how the different formulations of the composition laws are equivalent.

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