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arXiv · 1808.10058

A cubic generalization of Brahmagupta's identity

Samuel A. Hambleton
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Abstract

We give an algebraic identity for cubic polynomials which generalizes Brahmagupta's identity and facilitates arithmetic in cubic fields. We also pose a question about a relationship between the elements of a cubic field of fixed trace and fixed norm and rational points of an elliptic curve.

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Samuel A. Hambleton. 2018-08-29. A cubic generalization of Brahmagupta's identity. https://arxiv.org/abs/1808.10058

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